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The
otton Textile Worker's
Handbook
A CONVENIENT REFERENCE BOOK
For All Persons Interested In
he Spinning of Cotton Yarns, the Weaving of
Cotton Fabrics, and the Yarn and Cloth
Calculations Incidental
Thereto
BY
International Correspondence Schools
SCRANTON, PA.
2d Edition, 7th Thousand, 2d Impression
scranton, pa.
International Textbook Company
<^^„^'
ft'"
Copyright, 1913, 1920, by
International Textbook Company
Copyright in Great Britain
All Rights Reserved
^o
-^o??
m 2.
Press of
International Textbook Company
Scranton, Pa.
77368
©CU566650
/
PREFACE
In this work, the publishers have not attempted
to produce a condensed cyclopedia covering the
ottensive field of cotton manufacturing, but they
have aimed to present a useful reference book
convenient to carry in the pocket — a pocketbook
in truth — and containing information, especially
rules, tables, etc., often used and required by
superintendents, overseers, fixers, and, in fact, all
persons engaged or interested in the great cotton
textile manufacturing industry and its many
ramifications.
The intention has been to select from a vast
amount of material only that which is most likely
to be of use in connection with daily work or to
which reference will be made most frequently.
The treatment of many subjects is of necessity
brief, but these matters have been covered to the
full extent of the available space, and the text
relating thereto includes that which is most
valuable for frequent reference. The material
on yarn calculations, cloth calculations, and
draft calculations presents, in each case, a fin-
ished treatise that, it is hoped, will prove of
great value. Many tables are included and a
iii
IV
PREFACE
great number of these, such as, for instance, the
cotton-yarn numbering table, the cotton-roving
numbering table, and the many tables indicating
the production of various machines under a
wide range of conditions, should prove of daily
use. Other tables and much information and
data relative to the timing, setting, and adjust-
ment of textile machinery will be of importance
on many occasions. Great care has been taken
to insure the accuracy of the large number of
rules included, and these will be found entirely
trustworthy.
This handbook has been prepared by, and
-under the supervision of, Mr. C. J. Brickett,
Principal of our School of Textiles.
International Correspondence Schools
January, 1920
INDEX
Adjusting dobby knives,
266
shuttle-feeler thread cut-
ter, 290
the binders, 260
the lug strap, 259
the protector motion, 260
Adjustment of filling-
changing mechanism,
287
Advantages of metallic
rolls, 145
Albert twill, Filling-flush,
312.
twill", Warp-flush, 312
All-seed cotton, 95
Allowance for size, 54
Allowances made in calcu-
lating production and
draft of metallic rolls,
83
on calculated production
of ring frames, 202
American cotton, 94
cotton. Drawing-roll set-
tings for, 147
Amsterdam system of num-
bering woolen yarns, 25
Angle of twills, 310
Angled draft, 308
Angular measure, 338
Apothecaries' weight, 335
Artificial silk, 23
Automatic feeder, 106
looms, 273
stop-motions, 245
Average counts of cloth, 58
counts of cloth. Rule to
find, 58, 67
counts. Rule to find, 45
Average number of yarn be-
ing spun. Rule to find,
205
numbers, 45
yards per pound, denier
system, 20
Avoirdupois weight. Table
of, 334
Back knife plate, 123
rolls, 72
Backing oH, 208
Bale breaker, 105
Banging off, 261
Basket weaves, 319
weaves, Fancy, irregular,
and twilled, 320
Bat-wing pick, 248
Beam warpers, Production
of, 233
warping, 230
Beamed yarns, 42
Beams, Loom, 42
Bearings, Table of dis-'
tances between, 349
Beater, 108
Beating up, 245, 249
Bedford-cord weaves, 332
cords. Piques and, 328
Belt fastenings, 353
Rule to find length of
crossed, 356
Rule to find length of
open, 356
Belts, 352
Care of, 352
Horsepower transmitted
by, 357
Length of, 356
Quarter-turn, 354
INDEX
Benders cotton, 95
Bier, 52
Binders, Adjusting the, 260
Bloom, 100
Bobbins, 195
Sizes of, 195
Bonnet, 'Doffer, 125
Licker, 122
Bex chains. Building, 269
looms, 267
motions. Timing of, 272
Boxes, Leveling the, 272
Break draft, 80
Breaker, Bale, 105
picker, 108
Breaking weight of Ameri-
can cotton warp yarns,
Average, 34
weight of cotton warp
yarn, 33
Broken crow weave. Fill-
ing-flush, 312
crow weave, Warp-fltish,
313
Brown Egyptian cotton, 95
Brush gauge, 168
Builder gear on mule. Rule
to find, 216
Building box chains, 269
C
Cabled yarns, 219
Calculating draft of com-
mon rolls, 78
Calculation of colored
mixes, 117
Calculations, Card-clothing,
128
Cloth, 48
Comber, 166
Draft, 71
Fly-frame, 178
for filling yarn, 54
for ring frames, 198
for slashers, 237
for twisters, 219
for warp yarn, 52
Harness, 50
Loom, 250
Mechanical, 347
Ply-yarn, 35
Yarn, 1
Cam looms, 256
Campbell twill, 313
Cam-shaft gears on looms.
Rule for finding, 256
Cams on more than 2-har-
ness work, Setting, 256
Rule to find throw of
harness, 247
Setting selvage, 257
Shedding by, 245
Timing cbmber, 170
Card clothing, 126
-clothing calculations; 128
clothing. Crown of, 128
clothing, English counts
of, 132
clothing, English method
of numbering, 131
clothing, Rule to find
points per square foot
in, 129
Draft of, 135
production, 136
Revolving-top flat, 120
slivers. Weights of cot-
ton, 137
tooth. Crown of, 126
tooth. Knee of, 126
waste, 136
Carded warp yarns, Rule
to find standard break-
ing weight of, 34
Carding, Objects of, 120
Cards, Care of, 137
Cotton, 120
Management of, 141
Setting, 138
Weight and horsepower
of, 136
Care of belts, 352
of cards, 137
of combers, 171
of cotton-harness warp
stop-motion, 290
of pickers, 119
of shuttle. Position and,
288
of steel-harness warp
stop-inotion, 291
Carriage, Mule, 205
Cassimere twill, 312
Cellulose, 93
INDEX
Cellulose silk, 23
Center draft, 307
Chain draft, 264
drafts, 304
Chains, Pegging harness,
264
Building box, 269
Change gear, 362
gears, Fly-frame, 183
Changing counts on mule,
214
Check weaves, 323
Circle, 342
Pitch, 363
Rule to find circumfer-
ence and area of, 343
Circular pitch, 363
Circumferential speed of
pulleys, 351
Classification of cotton, 98
Classifying cotton, 100
Cloth, Average counts of,
58
calculations, 48
calculations. Short rules
for, 67
Counts of, 48
Cover on, 258
measure, 337
Rule to find average
counts of, 58, 67
Rule to find weight of,
in ounces per yard, 56
Rule to find yards per
pound of, 56, 57
samples, Figuring partic-
ulars from, 57
Slasher, 236
Thin places in, 261
Weight of, 56
Weight of cotton, 48
Weight of woolen, 49
Weight of worsted, 49
Width of, 57
Yards per pound of, 57
Clothing, Card, 126
cylinder and doffer, 132
flats, 132
Open-set, 131
Plain-set, 131
Points per square foot in
rib-set, 130
Clothing, Points per square
foot in twill-set, 131
Rib-set, 128
Twilled, 128
Cohoes system of number-
ing woolen yarns, 25
Coiler head, 125
Colored mixes. Calculation
of, 117
Combed warp yarns. Rule
to find standard break-
ing weight of, 35
Comber, 161
calculations, 166
cushion-plate settings, 168
cylinders. Setting and
timing, 170
Double-nip, 163
feed-roll setting, 168
gauge, 168
settings, 167
Single-nip, 161
timings, 169
waste, 173
waste. Percentage of, 174
Combers, Care of, 171
Setting of, 167
Timing of, 168
Combination weaves, 322
Combing, 155
Combs, Setting top, 171
Common rolls, 142
rolls. Calculating draft
of, 78
rolls. Drafting with, 72
rolls. Weighting of
single-boss, 149
Compound levers, 266
-sizing test, 19
Condenser, 109
Cone, 345
or pyramid, Rui'e to find
volume of, 345
or pyramid. Rule to find
volume of frustum of,
346
pick, 248
Constant dividend, 363
factor, 362
for builder change gear
on mule. Rule to find,
217 .
INDEX
Constant for twist on fly
frames, Rule to find, 181
for twist on mule, Rule
to find, 209
for twist on ring frames,
Rule to find, 200
of gearing. Rule to find,
363
Rule to find draft, 88
Constants, 88, 362
for equivalent cotton
counts, 27
for finding loom produc-
tion, 253
Twist, 28
Contraction, 53
in leno and lappet fab-
rics, 64
Rule to estimate warp, 69
Warp, 53
Corkscrew twills, 321
weaves, 321
Cost of ply yarns. Rule to
find, 40
Cotton, 92
Allan-seed, 95
American, 94
Benders. 95
Brown Egyptian, 95
cards, 120
cards, Speed calculations
for, 133
characteristics. Table of,
96
classification, Govern-
ment, 99
Classification of, 98
Classifying, 100
cloth. Weight of, 48
designing, 302
duck, Weight of, 49
fiber. Measurements of,
93
fiber. Strength of. 93
fiber, Structure of, 92
Grades of American, 98
Gulf, or New Orleans, 94
-harness warp stop-mo-
tion. Care of, 290
Memphis, 95
mill. Organization of, 294
-mill planning, 294
Cotton mixing, 103
mixing, Rule to find
number of sections
a 104
Oklahoma, 95
Peelers, 95
-roving numbering table,
13 ,
Sea-island, 94
Specific gravity of, 93
Texas, 95
Uplands, 95
warp yarn, Breaking
weight of, 33
World's production of,
101
weaving, 245
yarn and roving, Table
of dividends for num-
bering, 16
-yarn numbering table, 5
-yarn preparation, 92
-yarn preparation, Proc-
esses and objects of,
102
yarns. Table of length
for, 2
yarns. Table of weight
for, 2
Counter faller, 208
Countershafts, 347
Effect of, on speed, 351
Rules to find diameter
of, 348
Counts, 1
Average, 45
Constants for equivalent
cotton, 27
Denier and dram equiva-
lent, 23
Equivalent, 26
of card clothing, English,
132
of cloth, 48
of cloth. Average, 58
of cloth. Rule to find
average, 67
of cotton yarn. Methods
of finding, 16
of filling, 61
of filling. Rule to find
average, 68
INDEX
ISL
Counts of filling to preserve
weight of cloth, Rule
to find, 67
of filling to preserve
yards per pound. Rule
to find, 61
of warp yarn, 58
of yarn on a beam. Rule
to find, 43
of yarn to be folded with
another to produce a
given count. Rule to
find, 37
on mule, Changing, 214
Rule to find average, 45
Rule to find, when weight
and length are given, 1
Short methods of finding
equivalent, 27
Cover on cloth, 258
Covering of top rolls, 142
Cradle gauge, 168
Crossed belt, Rule to find
length of, 356
Crow twill. Filling-flush,
312
twill. Warp-flush, 312
Crown of card clothing, 128
of card tooth, 126
Cubic measure, 338
Curved twills, 314
Cushion-plate settings,
Comber, 168
Cut mark, 323
system of numbering
woolen yarns, 24
Weight of, 60
Cutting, 322
Filling, 262
picks, 329
Cycles of mangle gear.
Rule to find, 365
Cylinder, 344
and doffer, Clothing, 132
5ule to find surface area
of, 344
Rule to find volume of,
345
Timing dobby, 267
Cylinders, Setting and
timing comber, 170
D
Dead roll, 137
weighting, 148
Delivery rolls, 73
Denier, 17
and dram equivalent
counts, 23
of raw silk yarns, Rule
to find, 21
system, Average yards
per pound, 20 _
-system conversion table,
19
system of numbering silk
yarns, 17
Dent, 51
Dents per inch in reed>
Rule to find, 55
Derivatives, Satin, 319
Design, Elements of tex-
tile, 302
Designing, Cotton, 302
Diameter, 342
Diameters of shafts. Rules
to find, 348
of English and American
standard wire, 127
Diametral pitch, 364
Diamond weaves, 316
Dimensions of fly frames,
189
of ring spinning frames,
196
of twisters, 226
Distance between bearings.
Table of, 349
between hangers, 349
Dividend, Constant, 363
Dividends for numbering
cotton yarn and roving,.
Table of, 16
Dobbies, 262
Double-index, 264
Double-lift, 264
Single-index, 264
Single-lift, 264
Dobby cylinder, Timing,
267
knives, Adiusting, 266
Timing a, 265
Doff^er bonnet, 125
Clothing cylinder and, 132
INDEX
Dofifer, Speed of, 135
Double-boss rolls, 142
filling-fork arrangement,
285
-index dobbies, 264
-lift dobbies, 264
-nip comber, 163
satins, 318
-section pickers, 109
-threaded worms, 364
Doubling, 72, 90
Draft, Angled, 308
Break, 80
calculations, 71
Center, 307
Chain, 264
constant. Rule to find, 88
Drawing-in, 50, 303
gear, 183
gear on mule, Rule to
find, 214
gear. Rule to find, 87, 89,
184
gears, 86
Harness, 304
Irregular point, 307
Methods of finding, 74
of card, 135
of intermediate and fin-
isher pickers, 116
of metallic rolls. Allow-
ances made in calculat-
ing production and, 83
of metallic rolls. Increase
in, 86
Point, 307
Rule to find, 78, 87, 88, 89,
91
section, 309
Skip, 308
Straight, 306
Drafting, 71
Objects of, 71
with common rolls, 72
Drafts, Chain, 304
Irregular reed, 62
Resular point, 307
Satin, 308
Standard types of draw-
ing-in, 306
Dram system of numbering
silk yarns, 21
Draw of mule, 207
Drawing frames, 150
frames, Gearing of, 153
frames, Management ofl
155
frames, Production of
154
-in draft, SO, 303
-in drafts. Standard type^]
of, 306 \
-roll settings for Ameri'
can cotton, 147
rolls, 142
rolls. Setting of, 145
Draws in a cop, Rule tc|
find number of, 217
Driven and driving pul
leys. Rules for finding
diameters and revolu
tions of, 350
gear. Rule to find speec
of. 361
gears. Driving and, 77
Dry measure, 336
twisters, 219
Dual function of straddl
bug, 285
Duck, Weight of cotton, 4!
Early picking, 259
Eccentricity of lay, 249
Egyptian cotton. Brown, 9!
Elements of textile design
302
English counts of care
clothing, 132
method of numbering
card clothing, 131
Ends, 48
in cloth. Rule to find, 5;
in pattern. Rule to find
47
in warp, 60
of each color, counts, oi
material, in warp. Rule
to find number of, 61
on a beam. Rule to find
43
Selvage, 52
Entwining twill. Fancy
314
INDEX
Entwining twills, 313
;qually-flush weaves, 310
equivalent cotton counts,
Constants for, 27
counts, 26
counts, Denier and dram,
23
counts. Short methods of
finding, 27
Ivener motion, 110
^xtra-filling spot weaves,
328
-warp fabrics. Harness
and chain drafts for,
327
-warp spot weaves, 325
F
'actor. Constant, 362
""ancy basket weaves, 320
entwining twill, 314
filling patterns, 65
twills, 313
warp patterns, 61
warps, 46
"astenings. Belt, 353
"eed-roll, Setting and tim-
ing, 170
-roll setting, Coinber, 168
-rolls, 72
"eeder. Automatic, 106
^eeler filling-changing de-
vice, 283
filling-changing mecha-
nism, Setting of, 289
Shuttle, 277
Feet of lum^ber. Rules to
find, 347
Figuring particulars from
cloth samples, 57
Fillet, 128
Filleting, 128
Rule to find length of, 133
Filling, 46
-changing device. Feeler,
283
-changing mechanism, 273
-changing mechanism. Ad-
justment of, 287
-changing mechanism.
Setting of feeler, 289
Filling corkscrew weaves,
321
Counts of, 61
cutting, 262
-flush Albert twill, 312
-flush broken crow weave,
312
-flush crow twill, 312
-flush prunelle twill, 312
-flush satin weaves, 317
-flush weaves, 310
-fork arrangement,
Double, 285
Kinky, 262
Knocking off, 261
motion, 280
patterns, Fancy, 65
-rib weaves, 321
Rule to find average
counts of, 68
Rule to find weight of, 56
spinning frames. Produc-
tion of, 204
-spot weaves, 324
stop-motion. Timing the,
260
Wadding, 328
Weight of, 56
yarn, 46
yarn, Calculations for, 54
yarn. Rule to find hanks
of, 70
yarn. Rule to find weight
of, 70
yarn. Travelers for, 194
Finger gauge, 168
Finisher pickers. Draft of
intermediate and, 116
pickers, Intermediate and,
110
Fixing Northrop looms, 287
Flat strippings, 124
Flats, Clothing, 132
Speed of, 135
Floor space for cotton mill
machinery. Table of
machines and, 300
Fluid measure. Apotheca-
ries', 336
Fly-frame bobbins, Rule to
•find speed of. 181
frame calculations, 178
INDEX
Fly-frame change gears, 183
frame, Rule to find pro-
duction of, 185
frames, 175
frames. Dimensions of,
189
frames. Production of,
186
frames, Rule to find con-
stant for twist on, 181
frames, Speed of, 188
frames, Standard sizes
of, 189
frames, Twist constants
for, 188
Flying, Shuttles, 261
Folded yarns of different
counts, 37
yarns of the same counts.
35
Frames, Fly, 175
Drawing, 150
Front knife plate, 125
rolls, 73
Frustum of pramid or cone,
Rule to find volume of,
346
G
Gauge box, 109
Brush, 168
Comber, 168
Cradle, 168
Finger, 168
of spinning frames, 197
Quadrant, 168
Step, 168
Gear blank. Rule to find
diameter of, 364
Change, 362
Draft, 183
Lay, 183
Rule to find take-up
change, 251
Taper, 183
Tension. 183
Traverse, 183
Twist, 183
Gearing, 361
of drawing frames, 153
of measuring motion, 114
of rolls, 75
Gears, Draft, 86
Driving and driven, 77
Mangle, 365
Grades of American cotton,
98
Gravity spindle, 195
Grinder, Traverse, 138
Grinding, 137
rolls, 137
Ground weave, 325
Gulf, or New Orleans, cot-
ton, 94
Gum, 22
H
Hangers, Distance be-
tween, 349
Hank, 1
of roving. Rule to find,
91
of roving. Rule to find
average, 185
Hanks of filling yarn.
Rule to find, 70
of warp yarn. Rule to
find. 70
per spindle on ring
frames. Rule to find,
202
Harness calculations, 50
cams, Rule to find throw
of, 247
chains. Pegging, 264
and chain drafts for ex-
tra-warp fabrics, 327
draft, 304
Rule to find number of
heddles on, 50
Harnesses, 48
Head shaft, 347
Headstock, Mule, 205
Heddles on a harness. Rule
to find number of, 50
Hemp yarns, System of
numbering, 25
Heptagon, 342
Herring-bone stripes, 314
Hexagon, 342
Honeycomb weaves, 322
Hopper, 278
Horsepower of belt. Rule
to find, 357
INDEX
Horsepower of mules, 218
transmitted by belts, 357
transmitted by ropes,
Rule to find, 359
Inside taper, 132
Intermediate and finisher
pickers, 110
and finisher pickers.
Draft of, 116
Irregular basket weaves,
320
point draft, 307
reed drafts, 62
J
Jute yarns. System of num-
bering, 25
K
Kinky filling, 262
Knee of card tooth, 126
Knife plate. Back, 123
plate. Front, 125
Knive^ Adjusting dobby,
266
Mote, 122
Knocking off filling, 261
li
Lap, 108
Lappet fabrics. Contrac-
tion in leno and, 64
Laps, Weight of, 119
Late picking, 259
Lay, Eccentricity of, 249
gear, 183
gear. Rule to find, 185
Leather detaching roll.
Setting and timing, 170
Left-hand twist, 28
Length of belts, 356
of open belt. Rule to
find, 356
of staple, lOO
of warp. Rule to find, 44
of warp that can be
placed on a beam. Rule
to find, 44
of yarn, Rule to find,
when weight and counts
are known, 2
Lengths of yarns. Stand-
ard, 24
Leno and lappet fabrics.
Contraction in, 64
Let-off motions, 245
Leveling the boxes, 272
Lever, Rule to find weights
supported by, 367
weighting, 148
Levers, 366
Licker bonnet, 122
screen, 122
Speed of, 135
Licking, 119
Line, Pitch, 363
shafts, 347
shafts, Rules to find
diameter of, 348
Linear measure, 336
Linen yarns. System of
numbering, 24
Liquid measure, 335
Little Falls system cf
numbering woolen
yarns, 25
Long measure, 336
Loom beams, 42
calculations, 250
production, Constants for
finding, 253
Rule to find production
of, 252
The Northrop, 273
Looms, Automatic, 273
Box, 267
Cam, 256
Plain, 245
Short method of finding
production of, 253
Loose-boss rolls, 142
Lug strap, Adjusting the,
259
Lumber, Mensuration of,
347
Rules to find feet of, 347
M
Machines and floor space
for cotton mill ma-
chinery. Table of, 300
Main shaft. Rules to find
diameter of, 348
INDEX
Management of cards, 141
of drawing frames, 155
Mangle gear, Rule to find
cycles of, 365
gears, 365
Mayo twill, 313
Measure, Angular, 338
Apothecaries' fluid, 336
Cloth, 337
Cubic, 338 .
Dry, 336
Linear, or long, 336
Liquid, 335
Square, 337
Surveyor's, 337
Measuring motion, 112
motion, Gearing of, 114
Measurements of cotton
fiber, 93
Measures, Miscellaneous,
339
of time, 338
Weights and, 334
Mechanical calculations,
347
Mechanism, Filling-chang-
ing, 273
Memphis cotton, 95
Mensuration, 339
of lumber, 347
Metallic rolls, 82, 144
rolls, Advantages of, 145
rolls. Allowances made
in calculating produc-
tion and draft of, 83
rolls. Increase in draft
of, 86
rolls. Weighting of
single-boss, 149
Metric system of yarn
numbering, 25
system, Rule to convert
standard counts to, 26
system. Rule to convert,
to standard counts, 26
Mixes, Calculation of col-
ored, 117
Mixing, Cotton, 103
Mixings, Size, 243
Money, Table of United
States, 334
Mote knives, 122
Motion, Adjusting the pro-
tector, 260
Evener, 110
Filling, 280
Measuring, 112
Parallel, 248
Timing the picking, 259
Motions, Let-off, 245
Selvage, 256
Take-up, 245
Timing of box, 272
Mule carriage, 205
Draw of, 207
headstock, 205
Rule to find twist on, 208
spinning, 205
Stretch of, 207
Mules, Horsepower of, 218
Production of, 215
N
Needle-ground wire, 127
New Hampshire system of
numbering woolen
yarns, 25
New Orleans cotton, Gulf,
or, 94
Nippers, Setting and tim-
ing, 171
Nogg, 128
Northrop loom, 273
looms. Fixing, 287
looms, _ Shuttle for, 278
Numbering ply yarns, 35
Numbers, Average, 45
O
Octagon, 342
Off color of cotton, 100
Oklahoma cotton, 95
Open-set clothing, 131
Opener, 107
Organization of cotton mill,
294
Organize, 17
Parallel motion, 248
Parallelogram, Rule to find
area of, 341
Pattern of warp, 47
Rule to find ends in, 47
INDEX
XV
Patterns, Fancy filling, 65
Fancy warp, 61
Peelers cotton, 95
Pegging harness chains, 264
plan, 305
Pentagon, 342
Percentage of comber
waste, 174
of size, 54
Perimeter, 342
Pick, Bat-wing, 248
Cone, 248
Shoe, 248
Sley and, 57
Picker, Breaker, 108
Pickers, Care of, 119
Draft of intermediate and
finisher, 116
Double section, 109
Intermediate and fin-
isher, 110
Single section, 109
Starting, 260
Picking, 245, 247
Early, 259
Late, 259
motion. Timing the, 259
Picks, 48
Cutting, 329
Pique weaves, 328
Piques and Bedford cords,
328 ^
Pitch circle, 363
Circular, 363
Diametra,], 364
line, 363
Plain looms, 245
selvage motion, 256
-set cJothing, 131
weave, 302
Plan, Pegging, 305
Planning, Cotton-mill, 294
Plow-ground wire, 127
Ply-yarn calculations, 35
yarns, 35
yarns composed of more
than two threads, Z7
yarns, Cost of, 40
yarns, Numbering, 35
yarns of different counts,
Z7
Ply yarns of different ma-
terials, 41
yarns of spun silk, 40
yarns of the same counts,
35
yarns, Rule to find cost
of, 40
Point draft, 307
draft. Irregular, 307
drafts. Regular, 307
Pointed twills, 314
Points per square foot in
rib-set clothing, 130
per square foot in twill-
set clothing, 131
Polygon, Rule to find area
of regular, 342
Position and care of
shuttle, 288
of warp line, 258
Prism, Rule to find sur-
face area of, 343
Rule to find volume of,
344
Processes and objects of
cotton yarn preparation,
102
Production, Card, 136
Loom, 254
of beam warpers, 233
of drawing frames, 154
of filling spinning frames,
204
of fly frame. Rule to
' find, 185
of fly frames, 186
of loom. Rule to find, 252
of looms, Short method
of finding, 253
of mule. Rule to find, 212
of mules, 215
of ribbon-laix machine,
160
of single-nip comber, 165
of slashers, 240
of sliyer-lap machine, 158
of spinning frames, Rule
to find, 203
of spoolers, 229
of twisters, 224
of twisters. Rule to find,
223
INDEX
Production of warp spin-
ning frames, 203
Table of loom, 254
Protector motion, Adjust-
ing the, 260
Prunelle twill, 310
twill. Filling-flush, 312
twill. Warp-flush, 312
Pyramid or cone, Rule to
find volume, 345
or cone. Rule to find
volume of frustum of,
346
Pulleys, Driven and driv-
ing, 350
Quadrant gauge, 168
Quadrilaterals, 340
Quarter-turn belts, 354
R
Raw-silk yarns, Rule to
find denier, yards, or
weight of, 21
-silk yarns. System of
numbering, 17
Recipe for top-roll varnish,
144
Rectangle, 340
Reed, 48, 60
drafts, Irregular, 62
Rule to find dents per
inch in, 55
Sley of, 51
Width at, 54
Width in, 60
Reeds, 51
Reel. Wrap, 4
Regular point drafts, 307
twills, 310
twills. Rule for making,
310
twist, 28
Regulating the shed, 258
Repeat of weave, 303
Representation of weave,
303
Resultant counts of three
or more sinele yarns,
Rule to find, 38
Resultant counts when
more than one end of
the different counts are
folded, Rule to find, 38
counts when two yarns
of different numbers
are folded. Rule to find,
39
Revolving-top flat card, 120
Rhomboid, 340
Rhombus, 340
Rib-set clothing, 128
-set clothing, Points per
square foot in, 130
Rib weaves, 320
Ribbon-lap machine, 156
-lap machine. Production
of, 160
Ribs, 51
Right-hand twist, 28
Rim pulley on mule, Rule
to find diameter of, 210
Ring frames, Allowances
on calculated produc-
tion of, 202
frames. Calculations for,
198
frames. Rule _ to find
hanks per spindle on,
202
spinning, 190
spinning frames, Dimen-
sions of, 196
twister, 219
Roll, Dead, 137,
Setting and timing
leather detaching, 170
Setting steel detaching,
170
Rolls, Advantages of me-
tallic, 145
Back, or feed, 72
Calculating draft of com-
mon, 78
Common, 142
Covering of top, 142
Delivery, or front, 7Z
Double-boss, 142
Drafting with common, 72
Drawing, 142
Gearing of, 75
Grinding, 137
INDEX
Rolls, Loose-boss, 142
Metallic, 82, 144
Scouring, 149
Setting of drawing, 145
Shell, 142
Single-boss, 142
Solid-boss, 142
Varnishing of top, 144
Weighting of single-boss,
149
Weighting of top, 147
Rope transmission, 358
Ropes, Rule to find horse-
power transmitted by,
359
Roving, 2
Rule to find average
hank of, 185
Rule to find hank of, 91
Rule to find twist in,- 180
Size of, 12
Sizing, 188
Sizing yarn and, 2
Table of dividends for
numbering cotton yarn
and, 16
Rule for finding cam-shaft
gears on looms, 256
for making regular twills,
310
to convert metric system
counts to standard sys-
tem, 26
to convert silk yarns
numbered by denier
system to equivalent
counts in dram system,
23
to convert silk yarns
numbered by dram sys-
tem to denier system,
23
to convert standard-sys-
tem counts to metric
system, 26
to estimate warp con-
traction, 69
to find area of circle, 343
to find area of parallelo-
gram, 341
to find area of regular
polygon, 342
Rule to find area of trape-
zium, 341
to find area of trapezoid,
341
to find average counts, 45
to find average counts of
cloth, 58, 67
to find average counts of
filling, 68
to find average hank of
roving, 185
to find average number
of yarn being spun, 205
to find builder gear on
mule, 216
to find circumference of
circle, 343
to find constant for
builder change gear on.
mule, 217
to find constant for twist
on fly frames, 181
to find constant for twist
on mule, 209
to find constant for twist
on ring frames, 200
to find constant of gear-
ing, 363
to find constant of take-
up motion, 252
to find cost of ply yarns,
40
to find counts of filling
to preserve weight of
cloth, 67
to find counts of filling
to preserve yards per
pound, 61
to find cpunts of one
system equivalent to
that of another, 26
to find counts of yarn on
a beam, 43
to find counts of yarn to
be folded with another
to produce a given
count, 39
to find counts when
weight and length are
given, 1
to find cycles of mangle
gear, 365
INDEX
Rule to find diameter of
countershafts, 348
to find diameter of driven
pulley, 350
to find diameter of driv-
ing pulley, 350
to find diameter of gear
blank, 364
to find diameter of line
shafts, 348
to find diameter of main
shaft, 348
to find diameter of rim
pulley on mule, 210
to find denier of raw-silk
yarns, 21
to find dents per inch in
reed, 55
to find draft, 78, 87, 88,
89, 91
to find draft constant, 88
to find draft gear, 87, 89,
184
to find draft gear on
mule, 214
to find dramage of thrown
silk yarns, 22
to find ends in cloth, 53
to find ends in pattern,
47
to find ends on a beam, 43
to find feet of lumber,
347
to find hank of roving, 91
to find hanks of filling
yarn, 70
to find hanks of warp
yarn, 70
to find hanks per spindle
on ring frames, 202
to find horsepower of
belt, 357
to find horsepower trans-
mitted by ropes, 359
to find lay gear, 185
to find length of crossed
belt, 356
to find length of filleting,
133
to find length of one side
of square equal in area
to given circle, 343
Rule to find length of open
belt, 356
to find length of warp, 44
to find length of warp
that can be placed on a
beam, 44
to find length of yarn
when weight and counts
are known, 2
to find number of draws
in a cop, 217
to find number of ends of
each color, counts, or
material in warp, 61
to find number of heddles
on a harness, 50
to find _ number of sec-
tions in a cotton mix-
ing, 104 _
to find points per square
foot in card clothing,
129
to find production of fly
frame, 185
to find production of
loom, 252
to find production of
mule, 212
to find production of
spinning frames, 203
to find production of
twisters, 223
to find required width of
belt. 357
to find resultant counts
of three or more single
yarns, 38
to find resultant counts
when more than one
end of the different
counts are folded, 38
to find resultant counts
when two yarns of dif-
ferent numbers are
folded, 37
to find revolutions of
driven pulley, 350
to find revolutions of
driving pulley, 350
to find speed gear on
mule, 210
INDEX
iule to find speed of
driven gear, 361
to find speed of driven
pulley, 351
to find speed of fly-frame
bobbins, 181
to find speed of traveler,
199
to find speed of worm-
gear, 364
to find standard breaking
weight of carded warp
yarns, 34
to find standard breaking
weight of combed warp
yarns, 35
to find surface area of
cylinder, 344
to find surface area of
prism, 343
to find surface area of
sphere, 346
to find surface velocity
of pulley, 351
to find take-up change
gear, 251
to find teeth on gear, 364
to find tension gear, 184
to find throw of harness
cams, 247
to find traverse gear of
spooler, 229
to find traverse of
spoolers, 230
to find twist gear, 184
to find twist gear ^n
ring frames, 200
to find twist in roving,
180
to find twist on mule, 208
to find twist on ring
frames, 20O
to find twist on spinning
frame, 199
to find twist to be in-
serted in yarns, 28
to find volume of cone or
pyramid, 345
to find volume of cylin-
der, 345
to find volume of frustum
of pyramid or cone, 346
Rule to find volume of
prism, 344
to find volume of sphere,
346
to find weight of cloth, 56
to find weight of cloth in
ounces per yard, 56
to find weight of filling,
56
to find weight of filling
yarn, 70
to find weight of raw-
silk yarns, 21
to find weight of single
yarns in ply yarn, 39
to find weight of sliver,
91
to find weight of thrown-
silk yarns, 22
to find weight of warp
yarn, 70
to find weight of warp
yarn per cut, 53
to find weigTit of yarn on
a beam, 44
to find weight of yarn
when length and counts
are known, 2
to find weight supported
by lever, 367
to find width of warp in
reed, 55
to find yards per pound
of cloth, 56, 57
to find yards per pound
of raw-silk yarns, 21
to find yards per pound
of thrown-silk yarns, 22
Rules for cloth calcula-
tions, Short, 67
to find area of triangle,
340
Run system of numbering
woolen yarns, 24
Samples, Figuring particu-
lars from cloth, 57
Satin and miscellaneous
weaves, 317
derivatives, 319
drafts, 308
INDEX
Satin weaves. Filling-flush,
317
weaves, Warp-flush, 317
Satins, Double, 318
Five-, 6-, 7-, 8-, 9-, 10-,
11-, and 12-end, 318
Schappe silk yarns, 23
Scouring rolls, 149
Screen, Licker, 122
Sea-island cotton, 94
Section draft, 309
Self weighting, 147
Selvage cams, Setting, 257
ends, 52
motion, Plain, 256
motion, Tape, 257
motions, 256
Sericin, 22
Setting and timing comber
cylinders, 170
and timing feed-roll, 170
and timing leather de-
taching roll, 170
and timing nippers, 171
and timing Whitin high-
speed comber, 169
cams on more than 2-
harness work, 256
cards, 138
Comber feed- roll, 168
of combers, 167
of drawing rolls, 145
of feeler filling-changing
mechanism, 289
selvage cams, 257
steel detaching roll, 170
top combs, 171
Settings, Comber, 167
Comber cushion-plate, 168
Spooler, 228
Shafts and shafting, 347
Shed, 48, 245
Regulating the, 258
Shedding by cams, 245
Timing the, 258
Shell rolls, 142
Shoe pick, 248
Short methods of finding
equivalent counts, 27
rule to find weight of
single yarns in ply
yarn, 40
Short rules for cloth calcu-
lations, 67
Shuttle feeler, 277
-feeler thread cutter, 284
-feeler thread cutter. Ad-
justing, 290
for Northrop looms, 278
Position and care of, 288
Shuttles flying, 261
Side-ground wire, 127
Silk, Artificial, 23
Cellulose, 23
Ply yarns of spun, 40
yarns, 17
yarns, Denier system of
numbering, 17
yarns. Dram system of
numbering, 21
yarns, Schappe, 23
yarns. Sizing raw, 17
yarns. Spun, 17
yarns, System of num-
bering raw, 17
yarns. Thrown, 17
Single-boss rolls, 142
-end stripes, 323
-index dobbies, 264
-lift dobbies, 264
-nip comber, 161
-nip comber, Production
of, 165
-section pickers, 109
-threaded worms, 364
yarns, 1
Size, 240
Allowance for, 54
mixings, 243
of roving, 12
Percentage of, 54
Sizes of bobbins, 195
of spools, 227
of travelers, 192
Sizing, 3
materials, Weight of, 243
raw silk yarns, 17
roving, 188
test. Compound-, 19
yarn and roving, 2
Skein, 3
Skip drafts, 308
twills, 314
Slasher, 234
INDEX
Slasher cloth, 236 ^
Slashers, Calculations for,
237
Production of, 240
Slashing, 234
Objects of, 234
Sley, 48
and pick, 57
of reed, 51
Sliver-lap machine, 156
-lap machine, Production
of, 158
Rule to find weight of, 91
Slivers, Weights of cotton-
card, 137
Slubber, 175
Solid-boss rolls, 142
Specific gravity of cotton,
93
Speed calculations for cot-
ton cards, 133
Effect of countershafts
on, 351
gear on mule. Rule to
find, 210
of doffer, 135
of driven gear, Rule to
find, 361
of flats, 135
of fly-frame bobbins,
Rule to find, 181
of fly frames, 188
of licker, 135
of pulleys. Circumferen-
tial, 351
of traveler. Rule to find,
199
of worm-gear. Rule to
find, 364
Sphere, Rule to find sur-
face area and volume
of, 346
Spindle, Gravity, 195
spring, 262
Spindles, 195
Spinnerets, 24
Spinning frame, Rule to
find twist on, 199
frames. Gauge of, 197
frames, Rule to find pro-
duction of, 203
Mule, 205
Spinning, Ring, 190
Splitting, 119
Spooler, Rule to find tra-
verse gear of, 229
settings, 228 _ .
Spoolers, Production of,
229
Rule to find traverse of,
230
Spooling, 226
Spools, Sizes of, 227
Spot weaves, 324
weaves. Extra-filling, 328
weaves. Extra-warp, 325
Square, 340
equal in area to given
circle, Rule to find
length of one side of,
343
measure, 337
Spring, Spindle, 262
Spun silk. Ply yarns of,
40
silk yarns, 17
Standard lengths of yarns,
.24
sizes of fly frames, 189
twills, 312
types of drawing-in
drafts, 306
Staple, 100
Length of, 100
Strength of, 100
Starting pickers, 360
Steel detaching roll. Set-
ting, 170
-harness warp stop-mo-
tion. Care of, 291
gauge, 168
Stop-motioii, Timing the
filling, 260
-motions. Automatic, 245
-motions, Warp, 286
Straddle bug. Dual func-
tion of, 285
Straight draft, 306
Strength of cotton fiber,
93
of staple, 100
Stretch of mule, 207
Stripe weaves, 322
Stripes, Herring-bone, 314
INDEX
Stripes, Single-end, 323
Stripping, 137
Strippings, Flat, 124
Structure of cotton fiber, 92
Surveyor's measure, 337
T
Table, Cotton-roving num-
bering, 13
Cotton-yarn numbering, 5
Denier system conver-
sion, 19
of allowances on calcu-
lated production of
ring frames, 202
of angular measure, 338
of apothecaries' fluid
measure, 336
of apothecaries' weight,
335
of avoirdupois weight, 334
of cloth measure, 337
of comber settiiigs, 167
of comber timings, 169
of constants for finding
loom production, 253
of cotton characteristics,
96
of cubic measure, 338
of dimensions of ring
spinning frames, 196
of dimensions of twist-
ers, 226
of distance between bear-
ings, 349
of dividends for number-
ing cotton yarn and
roving, 16
of dry measure, 336
of fluid measure, 336
of length for cotton
yarns, 2
of linear measure, 336
of liquid measure, 335
of long measure, 336
of loom production, 254
of machines and floor
space for cotton mill
machinery, 300
of measures of time, 338
of miscellaneous mea-
sures, 339
Table of production of
beam warpers, 223
of production of drawing
frames, 154
of production of filling
spinning frames, 204
of production of fly
frames, 186
of production of mules,
215
of production of ribbon-
lap machine, 160
of production of single-
nip comber, 165
of production of sliver-
lap machine, 158
of production of spoolers,
229
of production of twisters,
224
of production of warp
spinning frames, 203
of sizes of bobbins, 195
of sizes of spools, 227
of sizes of travelers, 192
of square measure, 337
of standard sizes of fly
frames, 189
of surveyor's measure,
337
of travelers for filling
yarn, 194
of travelers for warp
yarn, 193
of troy weight, 335
of twist constants for fly
frames, 188
of United States money,
334
of weight for cotton
yarns, 2
of weights of cotton card
slivers, 137
of weight of sizing ma-
terials, 243
Twist, 29
Tail-ends, 132
Take-up change gear. Rule
to find, 251
-up motion, Rule to find
constant of, 252
-up motions, 245-
INDEX
Tape selvage motion, 257
Taper gear, 183 '
Inside, 132
Teeth on gear, Rule to
find number of, 364
Temples, 245
Tension gear, 183
gear, Rule to find, 184
Tester; Yarn, 33
Texas cotton, 95
Textile design, Elements
of 302
Thin places in cloth, 261
Thread cutter, Adjusting
shuttle-feeler, 290
cutter. Shuttle-feeler, 284
Three-harness twill, 310
Thrown-silk yarns, 17
-silk yarns, Rule to find
dramage of, 22
-silk yarns, Rule to find
weight of, 22
Time, Measures of, 338
Timing a dobby, 265
comber cams, 170
dobby cylinder, 267
of box motions, 272
of combers, 168
the filling stop-motion,
260
the picking motion, 259
the shedding, 258
Timings, Comber, 169
Tinges, 100
Top combs. Setting, 171
-ground wire, 127
-roll varnish. Recipe for,
144
rolls, Covering of, 142
rolls, Weighting of, 147
Tops 128
Tram, 17
Transmission, Rope, 358
Trapezium, Rule to find
area of. 341
Trapezoid, Rule to find
area of, 341
Traveler, Rule to find
speed of, 199
Travelers, 193
for filling yarn, 194
for warp yarn, 193
Travelers, Sizes of, 192
Traverse gear, 183
gear of spooler, Rule to
find,, 229
grinder, 138
of spoolers, Rule to find,
230
Triangle, Rules to find
area of, 340
Troy weight, 335
Twill angle, Method of
finding, 311
Campbell, 313
Cassimere, 312
Fancy entwining, 314
Mayo, 313
Prunelle, 310
-set clothing. Points per
square foot in, 131
Three-harness, 310
Venetian, 313
Twilled basket weaves, 320
clothing, 128
weaves, 309
Twills, Angle of, 310
Corkscrew, 321
Curved, 314
Entwining, 313
Fancy, 313
Pointed, 314
Regular, 310
Skip, 314
Standard, 312
Twist, 188
constants, 28
constants for fly frames,
188
gear, 183
gear on ring frames.
Rule to find, 200
gear. Rule to find, 184
in roving. Rule to find,
_ 180
in yarns, 28
Left-hand, 28
on mule, Rule to find, 208
on mule. Rule to find
constant for, 209
on ring frames, Rule to
find. 200
on ring frames. Rule to
find constant for, 200
INDEX
Twist on spinning frame,
Rule to find, 199
Regular, 28
Right-hand, 28
table, 29
to be inserted in yarns,
Rule to find, 28
Twister, Ring, 219
Twisters, Calculations for,
219
Dimensions of, 226
Dry, 219
Production of, 224
Rule to find production
of, 223
Wet, 219
Twisting, 219
Types of drawing-in drafts,
Standard, 306
U
United States money.
Table of, 334
Uplands cotton, 95
V
Varnishing of top rolls. 144
Velocity of pulley. Rule
to find surface, 351
Venetian twill, 313
Viscose, 24
W
Wadding filling, 328
Warp, 46
contraction, 53
contraction. Rule to es-
timate, 69
corkscrew weaves, 321
Ends in, 60
-flush Albert twill, 312
-flush broken crow
weave, 313
-flush crow twill, 312
-flush prunelle twill, 312
-flush satin weaves, 317
-flush weaves, 310
in reed. Rule to find
width of, 55
line, Position of, 258
Pattern of, 47
patterns. Fancy, 61
preparation, 226
Warp-rib weave, 320
Rule to find length of, 44
spinning frames, Produc-
tion of, 203
-spot weaves, 324
stop-motion, Care of cot-
ton-harness, 290
stop-motion, Care of
steel-harness, 291
stop-motions, 286
stop-motions, General
care of, 292
that can be placed on a
beam, Rule to find
length of, 44
yarn, 46
yarn, Breaking weight
of cotton, diZ
yarn, Calculations for, 52
yarn, Counts of, 58
yarn per cut. Rule to
find weight of, 53
yarn, Rule to find hanks
of, 70
yarn. Rule to find weight
of, 70
yarn. Travelers for, 193
yarn. Weight of, 60
yarns. Average breaking
weight of American cot-
ton, 34
Warper, 230
Warping, Beam, 230
Warps, Fancy, 46
Waste, Card, 136
Comber, 173
Weave, Ground, 325
Plain, 302
Repeat of, 303
Representation of, 303
Weaves, Basket, 319
Bedford cord, 332
Check, m
Combination, 322
Corkscrew, 321
Diamond, 316
Equally-flush, 310
Filling-corkscrew, 321
Filling-flush, 310
Filling-rib, Z2l
Filling-spot, 324
Honeycomb, 322
INDEX
Weaves, Pique, 328
Rib, 320
Satin and miscellaneous,
317
Spot, 324
Stripe, 322
Twilled, 309
Warp-corkscrew, 321
Warp-flush, 310
Warp-rib, 320
Warp-spot, 324
Weaving, Cotton, 245
Weight and horsepower of
cards, 136
Apothecaries', 335
Avoirdupois, 334
of cloth, 56
of cloth, Rule to find, 56
of cloth, Rule to find
counts of filling to pre-
serve, 67
of cotton cloth, 48
of cotton duck, 49
of cut, 60
of filling, Rule to find, 56
of filling yarn, Rule to
find, 70
of laps, 119
of single yarns in ply
yarn, Rule to find, 39,
40 _
of sizing materials, 243
of sliver. Rule to find, 91
of warp yarn, 60
of warp yarn per cut.
Rule to find, 53
of warp yarn, Rule to
find, 70
of woolen cloth, 49
of worsted cloth, 49
of yarn on a beam. Rule
to find, 44
of yarn. Rule to find,
when length and counts
are known, 2
supported by lever. Rule
to find, 367
Troy, 335
Weighting of single-boss
common rolls, 149
of single-boss metallic
rolls, 149
Weighting of top rolls, 147
Weights and measures, 334
of cotton card slivers, 137
Wet twisters, 219
Whitin high-speed comber.
Setting and timing, 169
Width at reed, 54
in reed, 60
of belt. Rule to find re-
quired, 357
of cloth, 57
of warp in reed, Rule to
find, 55
Winding faller, 208
Wire, Diameters of Eng-
lish and American
standard, 127
Needle-ground, 127
Plow-ground, 127
Side-ground, 127
Top-ground, 127
Woolen cloth. Weight of,
49
yarns, Amsterdam sys-
tem of numbering, 25
yarns, Cohoes system of
numbering, -25
yarns, Cut system of
numbering, 24
yarns. Little Falls sys-
tem of numbering, 25
yarns, New Hampshire
system of numbering,
25
yarns, Run system of
numbering, 24
World's production of cot-
ton, 101
Worm-gear, Rule to find
speed of, 364
Worms and worm-gears,
364
Worsted cloth. Weight of,
49
Wrap reel, 4
Yards per pound of cloth,
Rule to find, 56, 57
per pound of raw-silk
yarns. Rule to find, 21
INDEX
Yards per pound of thrown-
silk yarns. Rule to find,
22
per pound, Rule to find
counts of filling to pre-
serve, 61
Yarn, 2
and roving, Sizing, 2
and roving. Table of
dividends for number-
ing cotton, 16
being spun. Rule to find
average number of, 205
Breaking weight of cot-
ton warp, 33
calculations, 1
Calculations for filling, 54
Calculations for warp, 52
Counts' of warp, 58
Filling, 46
Methods of finding counts
of cotton, 16
numbering, ■ Metric sys-
tem of, 25
-numbering systems, 24
on a beam, Rule to find
counts of, 43
on a beam, Rule to find
weight of, 44
tester, 33
Warp. 46
Weight of warp, 60
Yarns, Amsterdam system
of numbering woolen, 25
Average breaking weight
of American cotton
warp, 34
Beamed, 42
Cabled, 219
Cohoes system of num-
bering woolen, 25
composed of more than
two threads. Ply, 37
Cost of ply, 40
Cut system of number-
ing woolen, 24
Denier system of num-
bering silk, 17
Dram system of number-
ing silk, 21
Little Falls system of
numbering woolen, 25
Yarns, New Hampshire sys-
tem of numbering
woolen, 25
Numbering ply, 35
of different counts.
Folded, 37
of different counts, Ply,
37
of different materials.
Ply, 41
of the same counts.
Folded, 35
of the same counts. Ply,
35
Ply, 35
Rule to find denier of
raw-silk, 21
Rule to find, dramage of
thrown-silk, 22
Rule to find standard
breaking weight of
carded warp, 34
Rule to find standard
breaking weight of
combed warp, 35
Rule to find weight of
raw-silk, 21
Rule to find weight of
thrown-silk, 22
Rule to find yards per
pound of raw-silk, 21
Rule to find yards per
pound of thrown-silk, 22
Run system of number-
ing woolen, 24
Schappe silk, 23
Silk, 17
Single, 1
Sizing raw-silk, 17
Spun-silk, 17
Standard lengths of, 24
System of numbering
hemp, 25
System of numbering
jute, 25
System of numbering
linen, 24
System of numbering
raw-silk. 17
Thrown-silk, l7
Twist in, 28
The
Cotton Textile Worker's
Handbook
YARN CALCULATIONS
SINGLE YARNS
The word counts, when used in connection with yam, refers
to the number, or size, of a yam as determined by the relation
that exists between the length and the weight of a given quan-
tity of that yarn. Thus, in the almost universally-adopted
system of numbering cotton yam, the counts of any given yam
are determined by the number of times that a standard length
of 840 yd., known as a hank, is contained in the number of yards
of that yarn required to weigh 1 lb. The length of the hank,
840 yd., is always constant; for instance, a cotton yarn may be
of fine, medium, or coarse counts, but a hank of that yarn
always contains 840 yd.
The method of numbering is that of calling a yam that con-
tains 1 hank, or 840 yd., in 1 lb. a No. 1 yarn. If the yarn
contains 2 hanks, or 1,680 yd., in 1 lb., it is known as a No. 2
yarn; if it contains 3 hanks, or 2,520 yd., in 1 lb., it is known as
a, No. 3 yarn. Thus the number of hanks that it takes to weigh
1 lb. determines the counts of the yam.
The counts of a yam are generally indicated by placing a
letter 5 after the figure representing the number of the yam.
Thus, 26s shows the counts of a yam and indicates that the
yam contains 26 hanks (26X840 yd.) in 1 lb.
Rule. — To find the counts of a yarn when the length and weight
are given, divide the total length of yarn, expressed in yards,
by the. weight, expressed in pounds, times the standard length.
2 YARN CALCULATIONS
Example. — If 168,000 yd. of yam weighs 5 lb., what are
the counts?
Solution. —
168,000 (length of yarn, in yards)
= 40s, counts
5 (weight, in pounds) X 840 (standard)
Rule. — To find the weight of yarn when the length and counts
are known, divide the length, in yards, by the counts times the
standard length.
Example. — ^What is the weight of 42,000 yd. of liumber 5s
yam?
42,000 (length, in yards)
Solution. = 10 lb.
(5 counts) X 840 (standard)
Rule. — To find the length of yarn when the weight and counts
are known, multiply the weight, in pounds, counts, and standard
length together.
Example. — What is the length of yam contained in a bundle
that weighs 8 lb., the counts of the yam being 26s?
Solution. — 8 (weight, in lb.) X 26 (counts) X 840 (standard)
= 174,720 yd.
In yarn calculations it is frequently of advantage to sub-
divide the standard length of the hank, 840 yd., and the stand-
ard weight of 1 lb. Hence, two tables are used, as follows:
Table of Length
1§ yards (yd.) = 1 thread, or circtimference of wrap reel
120 yards = 80 threads = 1 skein, or lea
840 yards = 560 threads = 7 skeins, or leas = 1 hank
Table of Weight
27.34 grains (gr.) = 1 dram (dr.)
437.5 grains = 16 drams = 1 ounce (oz.)
7,000 grains = 256 drams = 16 ounces = 1 pound (lb.)
SIZING YARN AND ROVING
A. yarn is a thread composed of fibers uniformly disposed
throughout its structure and having a certain amount of twist
for the purpose of enhancing its strength. Roving, however,
although its size is determined in a similar manner to that of
yam, is a term used to designate a loosely-twisted strand of
YARN CALCULATIONS 3
fibers, the latter lying more or less parallel with each other,
in which form the cotton is placed at various processes previous
to the actual spinning of the yam. In order that the yam and
roving may be kept of the correct size, it is generally the custom
to weigh a certain length of the product of each machine, at
least once a day, and by this means ascertain whether the
roving or yam is being kept at the required weight. This
process is known as sizing, and is a matter that should always
be carefully attended to.
From the rules and explanations previously given it will be
plain that if 840 yd. (1 hank) were always the length weighed,
in order to learn the counts of the yam, it would simply be
Fig. 1
necessary to divide the weight, expressed in pounds, into 1 lb.,
or if expressed in grains, into 7,000 (the number of grains in
1 lb.). It will readily be seen that to measure ofi 840 yd. of
yam would not only require considerable time, but would also
produce an unnecessary waste of material. To overcome
these difficulties, when sizing yam, it is customary to measure
off one skein (120 yd.) or one-seventh of 840 yd.; to weigh this
amount; and divide its weight in grains into one-seventh of
7,000, or 1,000. The result obtained in this manner will be the
same as if 840 yd. were taken and the weight, in grains, divided
Into 7,000.
4J
YARN CALCULATIONS
When sizing yarns, a wrap reel is used to measure the yarn.
As its name indicates, this instrument consists of a reel, gen-
erally 1| yd. in circumference. The yam is wound on this reel
and a finger indicates on a disk the number of yards reeled.
Fig. 1 shows an ordinary type of wrap reel, and Fig. 2 shows
yam and roving scales. These scales are suitable for weighing
by tenths of grains.
Example. — 120 yd. of yam is reeled and found to weigh
40 gr.; vihat are the counts?
Solution. — 1,000 ^40= 25s
Fig. 2
The size of cotton roving is determined in a similar manner
and indicated on the same basis as is the size of cotton yarn,
although, when sizing roving, a shorter length is used. It is
customary in this case to measure off one-seventieth of 840 yd.,
or 12 yd., and divide the weight, in grains, of this length of
roving into one-seventieth of 7,000, or 100.
Ex.'^MPLE.- — 12 yd. of roving is found to weigh 20 gr.; what
are the counts?
Solution. — 100 -=- 20 = 5-hank roving
To avoid calculation when sizing yarns, a table showing the
weight by grains and tenths of grains of 120 yd., or 1 skein, of
yam is ordinarily employed. The accompanying cotton-yam
numbering table is a well-arranged and complete table for this
purpose.
YARN CALCULATIONS
COTTON-YARN NUMBERING TABLE
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt,
inGr.
C'nts
of
Yam
of 120
Yd.
of 120
Yd.
of 120
Yd.
of 120
Yd.
5
200.0
9.1
109.9
13.2
75.8
17.3
57.80
5.1
196.1
9.2
108.7
13.3
75.2
17.4
57.47
5.2
192.3
9.3
107.5
13.4
74.6
17.5
57.14
5.3
188.7
9.4
106.4
13.5
74.1
17.6
56.82
5.4
185.2
9.5
105.3
13.6
73.5
17.7
56..50
5.5
181.8
9.6
104.2
13.7
73.0
17.8
56.18
^ 5.6
178.6
9.7
103.1
13.8
72.5
17.9
55.87
■ 5.7
175.4
9.8
102.0
13.9
71.9
18
55.56
5.8
172.4
9.9
101.0
14
71.4
18.1
55.25
5.9
169.5
10
100.0
14.1
70.9
18.2
54.95
6
166.7
10.1
99.0
14.2
70.4
18.3
54.64
6.1
164.0
10.2
98.0
14.3
69.9
18.4
54.35
6.2
161.3
10.3
97.1
14.4
69.4
18.5
54.05
6.3
158.7
10.4
96.1
14.5
69.0
18.6
53.76
6.4
156.2
10.5
95.2
14.6
68.5
18.7
53.48
6.5
153.8
10.6
94.3
14.7
68.0
18.8
53.19
6.6
151.5
10.7
93.5
14.8
67.6
18.9
52.91
6.7
149.3
10.8
92.6
14.9
67.1
19
52.63
6.8
147.1
10.9
91.7
15
66.67
19.1
52.36
6.9
144.9
11
90.9
15.1
66.23
19.2
52.08
. 7
142.9
11.1
90.1
15.2
65.79
19.3
51.81
7.1
140.8
11.2
89.3
15.3
65.36
19.4
51.55
■' 7.2
138.9
11.3
88.5
15.4
64.94
19.5
51.28
7.3
137.0
11.4
87.7
15.5
64.52
19.6
51.02
7.4
135.1
11.5
87.0
15.6
64.10
19.7
50.76
7.5
133.3
11.6
86.2
15.7
63.69
19.8
50.51
7.6
131.6
11.7
85.5
15.8
63.29
19.9
50.25
7.7
129.9
11.8
84.7
15.9
62.89
20
50.00
7.8
128.2
11.9
84.0
16
62.50
20.1
49.75
7.9
126.6
12
83.3
16.1
62.11
20.2
49.50
8
125
12.1
82.6
16.2
61.73
20.3
49.26
8.1
123.5
12.2
82.0
16.3
61.35
20.4
49.02
8.2
122
12.3
81.3
16.4
60.98
20.5
48.78
. 8.3
120.5
12.4
80.6
16.5
60.61
20.6
48.54
8.4
119.0
12.5
80.0
16.6
60.24
20.7
48.31
8.5
117.6
12.6
79.4
16.7
59.88
20.8
48.08
8.6
116.3
12.7
78.7
16.8
59.52
20.9
47.85
8.7
114.9
12.8
78.1
16.9
59.17
21
47.62
8.8
113.6
12.9
77.5
17
58.82
21.1
47.39
8.9
112.4
13
76.9
17.1
58.48
21.2
47.17
9
111.1
13.1
76.3
17.2
58.14
21.3
46.95
YARN CALCULATIONS
Table — (Continued)
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
of 120
Yd.
of 120
Yd.
of 120
Yd.
of 120
Yd.
21.4
46.73
25.5
39.22
29.6
33.78
33.7
29.67
. 21.5
46.51
25.6
39.06
29.7
33.67
33.8
29.59
21.6
46.30
25.7
38.91
29.8
33.56
33.9
29.50
21.7
46.08
25.8
38.76
29.9
33.44
34
29.41
21.8
45.87
25.9
38.61
30
33.33
34.1
29.33
21.9
45.66
26
38.46
30.1
33.22
34.2
29.24
22
45.45
26.1
38.31
30.2
33.11
34.3
29.15
22.1
45.25
26.2
38.17
30.3
33.00
34.4
29.07
22.2
45.05
26.3
38.02
30.4
32.89
34.5
28.99
22.3
44.84
26.4
37.88
30.5
32.79
34.6
28.90
22.4
44.64
26.5
37.74
30.6
32.68
34.7
28.82
22.5
44.44
26.6
37.59
30.7
32.57
34.8
28.74
22.6
44.25
26.7
37.45
30.8
32.47
34.9
28.65
22.7
44.05
26.8
37.31
30.9
32.36
35
28.57
22.8
43.86
26.9
37.17
31
32.26
35.1
28.49
22.9
43.67
27
37.04
31.1
32.15
35.2
28.41
23
43.48
27.1
36.90
31.2
32.05
35.3
28.33
23.1
43.29
27.2
36.76
31.3
31.95
35.4
28.25
23.2
43.10
27.3
36.63
31.4
31.85
35.5
28.17
23.3
42.92
27.4
36.50
31.5
31.75
35.6
28.09
23.4
42.74
27.5
36.36
31.6
31.65
35.7
28.01
23.5
42.55
27.6
36.23
31.7
31.55
35.8
27.93
23.6
42.37
27.7
36.10
31.8
31.45
35.9
27.86
23.7
42.19
27.8
35.97
31.9
31.35
36
27.78
23.8
42.02
27.9
35.84
32
31.25
36.1
27.70
23.9
41.84
28
35.71
32.1
31.15
36.2
27.62
24
41.67
28.1
35.59
32.2
31.06
36.3
27.55
24.1
41.49
28.2
35.46
32.3
30.96
36.4
27.47
24.2
41.32
28.3
35.34
32.4
30.86
36.5
27.40
24.3
41.15
28.4
35.21
32.5
30.77
36.6
27.32
24.4
40.98
28.5
35.09
32.6
30.67
36.7
27.25
24.5
40.82
28.6
34.97
32.7
30.58
36.8
27.17
24.6
40.65
28.7
34.84
32.8
30.49
36.9
27.10
24.7
40.49
28.8
34.72
32.9
30.40
37
27.03
24.8
40.32
28.9
34.60
33
30.30
37.1
26.95
24.9
40.16
29
34.48
33.1
30.21
37.2
26.88
25
40.00
29.1
34.36
33.2
30.12
37.3
26.81
25.1
39.84
29.2
34.25
33.3
30.03
37.4
26.74
25.2
39.68
29.3
34.13
33.4
29.94
37.5
26.67
25.3
39.53
29.4
34.01
33.5
29.85
37.6
26.60
25.4
39.37
29.5
33.90
33.6
29.76
37.7
26.53
YARN CALCULATIONS
Table — (Continued)
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
of 120
Yd.
of 120
Yd.
of 120
Yd.
of 120
Yd.
37.8
26.46
41.9
23.87
46
21.74
50.1
19.96
37.9
26.39
42
23.81
46.1
21.69
50.2
19.92
38
26.32
42.1
23.75
46.2
21.65
50.3
19.88
38.1
26.25
42.2
23.70
46.3
21.60
50.4
19.84
38.2
26.18
42.3
23.64
46.4
21.55
50.5
19.80
38.3
26.11
42.4
23.58
46.5
21.51
50.6
19.76
38.4
26.04
42.5
23.53
46.6
21.46
50.7
19.72
38.5
25.97
42.6
23.47
46.7
21.41
50.8
19.69
38.6
25.91
42.7
23.42
46.8
21.37
50.9
19.65
38.7
25.84
42.8
23.36
46.9
21.32
51
19.61
38.8
25.77
42.9
23.31
47
21.28
51.1
19.57
38.9
25.71
43
23.26
47.1
21.23
51.2
19.53
39
25.64
43.1
23.20
47.2
21.19
51.3
19.49
39.1
25.58
43.2
23.15
47.3
21.14
51.4
19.46
39.2
25.51
43.3
23.09
47.4
21.10
51.5
19.42
39.3
25.45
43.4
23.04
47.5
21.05
51.6
19.38
39.4
25.38
43.5
22.99
47.6
21.01
51.7
19.34
39.5
25.32
43.6
22.94
47.7
20.96
51.8
19.31
39.6
25.25
43.7
22.88
47.8
20.92
51.9
19.27
39.7
25.19
43.8
22.83
47.9
20.88
52
19.23
39.8
25.13
43.9
22.78
48
20.83
52.1
19.19
39.9
25.06
44
22.73
48.1
20.79
52.2
19.16.
40
25.00
44.1
22.68
48.2
20.75
52.3
19.12
40.1
24.94
44.2
22.62
48.3
20.70
52.4
19.08
40.2
24.88
44.3
22.57
48.4
20.66
52.5
19.05
40.3
24.81
44.4
22.52
48.5
20.62
52.6
19.01
40.4
24.75
44.5
22.47
48.6
20.58
52.7
18.98
40.5
24.69
44.6
22.42
48.7
20.53
52.8
18.94
40.6
24.63
44.7
22.37
48.8
20.49
52.9
18.90
40.7
24.57
44.8
22.32
48.9
20.45
53
18.87
40.8
24.51
44.9
22.27
49
20.41
53.1
18.83
40.9
24.45
45
22.22
49.1
20.37
53.2
18.80
41
24.39
45.1
22.17
49.2
20.33
53.3
18.76
41.1
24.33
45.2
22.12
49.3
20.28
53.4
18.73
41.2
24.27
45.3
22.08
49.4
20.24
53.5
18.69
41.3
24.21
45.4
22.03
49.5
20.20
53.6
18.66
41.4
24.15
45.5
21.98
49.6
20.16
53.7
18.62
41.5
24.10
45.6
21.93
49.7
20.12
53.8
18.59
41.6
24.04
45.7
21.88
49.8
20.08
53.9
18.55
41.7
23.98
45.8
21.83
49.9
20.04
54
18.52
41.8
23.92
45.9
21.79
50
20.00
54.1
18.48
YARN CALCULATIONS
Table — (Continued)
Wt.
in Gr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yam
of 120
Yd.
of 120
Yd.
of 120
Yd.
of 120
Yd.
54.2
18.45
58.3
17.15
62.4
16.03
66.5
15.04
54.3
18.42
58.4
17.12
62.5
16.00
66.6
15.02
54.4
18.38
58.5
17.09
62.6
15.97
66.7
14.99
54.5
18.35
58.6
17.06
62.7
15.95
66.8
14.97
54.6
18.32
58.7
17.04
62.8
15.92
66.9
14.95
54.7
18.28
58.8
17.01
62.9
15.90
67
14.93
54.8
18.25
58.9
16.98
63
15.87
67.1
14.90
54.9
18.21
59
16.95
63.1
15.85
67.2
14.88
55
18.18
59.1
16.92
63.2
15.82
67.3
14.86
55.1
18.15
59.2
16.89
63.3
15.80
67.4
14.84
55.2
18.12
59.3
16.86
63.4
15.77
67.5
14.81
55.3
18.08
59.4
16.84
63.5
15.75
67.6
14.79
55.4
18.05
59.5
16.81
63.6
15.72
67.7
14.77
55.5
18.02
59.6
16.78
63.7
15.70
67.8
14.75
55.6
17.99
59.7
16.75
63.8
15.67
67.9
14.73
55.7
17.95
59.8
16.72
63.9
15.65
68
14.71
55.8
17.92
59.9
16.69
64
15.63
68.1
14.68
55.9
17.89
60
16.67
64.1
15.60
68.2
14.66
56
17.86
60.1
16.64
64.2
15.58
68.3
14.64
56.1
17.83
60.2
16.61
64.3
15.55
68.4
14.62
56.2
17.79
60.3
16.58
64.4
15.53
68.5
14.60
56.3
17.76
60.4
16.56
64.5
15.50
68.6
14.58
56.4
17.73
60.5
16.53
64.6
15.48
68.7
14.56
56.5
17.70
60.6
16.50
64.7
15.46
68.8
14.53
56.6
17.67
60.7
16.47
64.8
15.43
68.9
14.51
56.7
17.64
60.8
16.45
64.9
15.41
69
14.49
56.8
17.61
60.9
16.42
65
15.38
69.1
14.47
56.9
17.57
61
16.39
65.1
15.36
69.2
14.45
57
17.54
61.1
16.37
65.2
15.34
69.3
14.43
57.1
17.51
61.2
16.34
65.3
15.31
69.4
14.41
57.2
17.48
61.3
16.31
65.4
15.29
69.5
14.39
57.3
17.45
61.4
16.29
65.5
15.27
69.6
14.37
57.4
17.42
61.5
16.26
65.6
15.24
69.7
14.35
57.5
17.39
61.6
16.23
65.7
15.22
69.8
14.33
57.6
17.36
61.7
16.21
65.8
15.20
69.9
14.31
57.7
17.33
61.8
16.18
65.9
15.17
70
14.29
57.8
17.30
61.9
16.16
66
15.15
70.1
14.27
57.9
17.27
62
16.13
66.1
15.13
70.2
14.25
58
17.24
62.1
16.10
66.2
15.11
70.3
14.22
58.1
17.21
62.2
16.08
66.3
15.08
70.4
14.20
58.2
17.18
62.3
16.05
66.4
15.06
70.5
14.18
YARN CALCULATIONS
Table — (Continued)
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
in Gr.
C'nts
of
Yam
of 120
Yd.
of 120
Yd.
of 120
Yd.
of 120
Yd.
70.6
14.16
74.7
13.39
78.8
12.69
82.9
12.06
70.7
14.14
74.8
13.37
78.9
12.67
83
12.05
70.8
14.12
74.9
13.35
79
12.66
83.1
12.03
70.9
14.10
75
13.33
79.1
12.64
83.2
12.02
71
14.08
75.1
13.32
79.2
12.63
83.3
12.00
71.1
14.06
75.2
13.30
79.3
12.61
83.4
11.99
71.2
14.04
75.3
13.28
79.4
12.59
83.5
11.98
71.3
14.03
75.4
13.26
79.5
12.58
83.6
11.96
71.4
14.01
75.5
13.25
79.6
12.56
83.7
11.95
71.5
13.99
75.6
13.23
79.7
12.55
83.8
11.93
71.6
13.97
75.7
13.21
79.8
12.53
83.9
11.92
71.7
13.95
75.8
13.19
79.9
12.52
84
11.90
71.8
13.93
75.9
13.18
80
12.50
84.1
11.89
71.9
13.91
76
13.16
80.1
12.48
84.2
11.88
72
13.89
76.1
13.14
80.2
12.47
84.3
11.86
72.1
13.87
76.2
13.12
80.3
12.45
84.4
11.85
72.2
13.85
76.3
13.11
80.4
12.44
84.5
11.83
72.3
13.83
76.4
13.09
80.5
12.42
84.6
11.82
72.4
13.81
76.5
13.07
80.6
12.41
84.7
11.81
72.5
13.79
76.6
13.05
80.7
12.39
84.8
11.79
72.6
13.77
76.7
13.04
80.8
12.38
84.9
11.78
72.7
13.76
76.8
13.02
80.9
12.36
85
11.76
72.8
13.74
76.9
13.00
81
12.35
85.1
11.75
72.9
13.72
77
12.99
81.1
12.33
85.2
11.74
73
13.70
77.1
12.97
81.2
12.32
85.3
11.72
73.1
13.68
77.2
12.95
81.3
12.30
85.4
11.71
73.2
13.66
77.3
12.94
81.4
12.29
85.5
11.70
73.3
13.64
77.4
12.92
81.5
12.27
85.6
11.68
73.4
13.62
77.5
12.90
81.6
12.25
85.7
11.67
73.5
13.61
77.6
12.89
81.7
12.24
85.8
11.66
73.6
13.59
77.7
12.87
81.8
12.22
85.9
11.64
73.7
13.57
77.8
12.85
81.9
12.21
86
11.63
73.8
13.55
77.9
12.84
82
12.20
86.1
11.61
73.9
13.53
78
12.82
82.1
12.18
86.2
11.60
74
13,51
78.1
12.80
82.2
12.17
86.3
11.59
74.1
13.50
78.2
12.79
82.3
12.15
86.4
11.57
74.2
13.48
78.3
12.77
82.4
12.14
86.5
11.56
74.3
13.46
78.4
12.76
82.5
12.12
86.6
11.55
74.4
13.44
78.5
12.74
82.6
12.11
86.7
11.53
74.5
13.42
78.6
12.72
82.7
12.09
86.8
11.52
74.6
13.40
78.7
12.71
82.8
12.08
86.9
11.51
10
YARN CALCULATIONS
Table — (Continued)
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
of 120
Yd.
of 120
Yd.
of 120
Yd.
of 120
Yd.
87
11.49
91.1
10.98
95.2
10.50
99.3
10.07
87.1
11.48
91.2
10.96
95.3
10.49
99.4
10.06
87.2
11.47
91.3
10.95
95.4
10.48
99.5
10.05
87.3
11.45
91.4
10.94
95.5
10.47
99.6
10.04
87.4
11.44
91.5
10.93
95.6
10.46
99.7
10.03
87.5
11.43
91.6
10.92
95.7
10.45
99.8
10.02
87.6
11.42
91.7
10.91
95.8
10.44
99.9
10.01
87.7
11.40
91.8
10.89
95.9
10.43
100
10.00
87.8
11.39
91.9
10.88
96
10.42
100.2
9.98
87.9
11.38
92
10.87
96.1
10.41
100.4
9.96
88
11.36
92.1
10.86
96.2
10.40
100.6
9.94
88.1
11.35
92.2
10.85
96.3
10.38
100.8
9.92
88.2
11.34
92.3
10.83
96.4
10.37
101
9.90
88.3
11.33
92.4
10.82
96.5
10.36
101.2
9.88
88.4
11.31
92.5
10.81
96.6
10.35
101.4
9.86
88.5
11.30
92.6
10.80
96.7
10.34
101.6
9.84
88.6
11.29
92.7
10.79
96.8
10.33
101.8
9.82
88.7
11.27
92.8
10.78
96.9
10.32
102
9.80
88.8
11.26
92.9
10.76
97
10.31
102.2
9.78
88.9
11.25
93
10.75
97.1
10.30
102.4
9.77
89
11.24
93.1
10.74
97.2
10.29
102.6
9.75
89.1
11.22
93.2
10.73
97.3
10.28
102.8
9.73
89.2
11.21
93.3
10.72
97.4
10.27
103
9.71
89.3
11.20
93.4
10.71
97.5
10.26
103.2
9.69
89.4
11.19
93.5
10.70
97.6
10.25
103.4
9.67
89.5
11.17
93.6
10.68
97.7
10.24
103.6
9.65
89.6
11.16
93.7
10.67
97.8
10.22
103.8
9.63
89.7
11.15
93.8
10.66
97.9
10.21
104
9.62
89.8
11.14
93.9
10.65
98
10.20
104.2
9.60
89.9
11.12
94
10.64
98.1
10.19
104.4
9.58
90
11.11
94.1
10.63
98.2
10.18
104.6
9.56
90.1
11.10
94.2
10.62
89.3
10.17
104.8
9.54
90.2
11.09
94.3
10.60
98.4
10.16
105
9.52
90.3
11.07
94.4
10.59
98.5
10.15
105.2
9.51
90.4
11.06
94.5
10.58
98.6
10.14
105.4
9.49
90.5
11.05
94.6
10.57
98.7
10.13
105.6
9.47
90.6
11.04
94.7
10.56
98.8
10.12
105.8
9.45
90.7
11.03
94.8
10.55
98.9
10.11
106
9.43
90.8
11.01
94.9
10.54
99
10.10
106.2
9.42
90.9
11.00
95
10.53
99.1
10.09
106.4
9.40
91
10.99
95.1
10.52
99.2
10.08
106.6
9.38
YARN CALCULATIONS
Table — (Continued)
n
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
Wt.
inGr.
C'nts
of
Yam
of 120
Yd.
of 120
Yd.
of 120
Yd.
of 120
Yd.
106.8
9.36
115
8.70
128
7.81
148.5
6.73
107
9.35
115.2
8.68
128.5
7.78
149
6.71
107.2
9.33
115.4
8.67
129
7.75
149.5
6.69
107.4
9.31
115.6
8.65
129.5
7.72
150
6.67
107.6
9.29
115.8
8.64
130
7.69
151
6.62
107.8
9.28
116
8.62
130.5
7.66
152
6.58
J 08
9.26
116.2
8.61
131
7.63
153
6.54
108.2
9.24
116.4
8.59
131.5
7.60
154
6.49
108.4
9.23
116.6
8.58
132
7.58
155
6.45
108.6
9.21
116.8
8.56
132.5
7.55
156
6.41
108.8
9.19
117
8.55
133
7.52
157
6.37
109
9.17
117.2
8.53
133.5
7.49
158
6.33
109.2
9.16
117.4
8.52
134
7.46
159
6.29
109.4
9.14
117.6
8.50
134.5
7.43
160
6.25
109.6
9.12
117.8
8.49
135
7.41
161
6.21
109.8
9.11
118
8.47
135.5
7.38
162
6.17
110
9.09
118.2
8.46
136
7.35
163
6.13
110.2
9.07
118.4
8.45
136.5
7.33
164
6.10
110.4
9.06
118.6
8.43
137
7 30
165
6.06
110.6
9.04
118.8
8.42
137.5
7 27
166
6.02
110.8
9.03
119
8.40
138
7.25
167
5.99
111
9.01
119.2
8.39
138.5
7.22
168
5.95
111.2
8.99
119.4
8.38
139
7.19
169
5.92
111.4
8.98
119.6
8.36
139.5
7.17
170
5.88
111.6
8.96
119.8
8.35
140
7.14
171
5.85
111.8
8.94
120
8.33
140.5
7.12
172
5.81
112
8.93
120.5
8.30
141
7.09
173
5.78
112.2
8.91
121
8.26
141.5
7.07
174
5.75
112.4
8.90
121.5
8.23
142
7.04
175
5.71
112.6
8.88
122
8.20
142.5
7.02
176
5.68
112.8
8.87
122.5
8.16
143
6.99
177 ,
5.65
113
8.85
123
8.13
143.5
6.97
178
5.62
113.2
8.83
123.5
8.10
144
6.94
179
5.59
113.4
8.82
124
8.06
144.5
6.92
180
5.56
113.6
8.80
124.5
8.03
145
6.90
181
5.52
113.8
8.79
125
8.00
145.5
6.87
182
5.49
114
8.77
125.5
7.97
146
6.85
183
5.46
114.2
8.76
126
7.94
146.5
6.83
184
5.43
114.4
8.74
126.5
7.91
147
6.80
185
5.41
114.6
8.73
127
7.87
147.5
6.78
186
5.38
114.8
8.71
127.5
7.84
148
6.76
187
5.35
12
YARN CALCULATIONS
Tabi-e — (Continued)
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
Wt.
inGr.
C'nts
of
Yarn
of 120
Yd.
of 120
Yd.
of 120
Yd,
of 120
Yd,
188
5.32
238
4.20
300
3.33
455
2,20
189
5.29
240
4.17
305
3.28
460
2,17
190
5.26
242
4.13
310
3.23
465
2.15
191
5.24
244
4.10
315
3.17
470
2,13
192
5.21
246
4.07
320
3.13
475
2,11
193
5.18
248
4.03
325
3.08
480
2,08
194
5.15
250
4.00
330
3.03
485
2.06
195
5.13
252
3.97
335
2.99
490
2.04
196
5.10
254
3.94
340
2.94
495
2.02
197
5.08
256
3.91
345
2.90
500
2.00
198
5.05
258
3.88
350
2.86
510
1.96
199
5.03
260
3.85
355
2.82
520
1.92
200
5.00
262
3.82
360
2.78
530
1.89
202
4.95
264
3.79
365
2.74
540
1.85
204
4.90
266
3.76
370
2.70
550
1.82
206
4.85
268
3.73
375
2.67
560
1.79
208
4.81
270
3.70
380
2.63
570
1,75
210
4.76
272
3.68
385
2.60
580
1,72
212
4.72
274
3.65
390
2.56
590
1,69
214
4.67
276
3.62
395
2.53
600
1,67
216
4.63
278
3.60
400
2.50
620
1,61
218
4.59
280
3.57
405
2.47
640
1,56
220
4.55
282
3.55
410
2.44
660
1,52
222
4.50
284
3.52
415
2.41
680
1,47
224
4.46
286
3.50
420
2,38
700
1,43
226
4.42
288
3.47
425
2.35
725
1,38
228
4.39
290
3.45
430
2.33
750
1.33
230
4.35
292
3.42
435
2.30
775
1.29
232
4.31
294
3.40
440
2.27
800
1.25
234
4.27
296
3.38
445
2.25
850
1.17
236
4.24
298
3.36
450
2.22
900
1.11
The size of roving is indicated in a somewhat different
manner from the counts of yam. Thus, if five times 840 yd.
of roving weighs 1 lb. it is known as 6-hank roving, indicating
that 5 hanks weigh 1 lb.
The following cotton-roving numbering table gives the hank
roving as determined by the weight in grains and tenths of
grains of 12 yd.
YARN CALCULATIONS
COTTON-ROVING NUMBERING TABLE
13
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr,
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov,
of 12
Yd.
of 12
Yd.
of 12
Yd.
of 12
Yd.
3
33.33
7.1
14.08
11.2
8.93
15.3
6.54
3.1
32.26
7.2
13.89
11.3
8.85
15.4
6.49
3.2
31.25
7.3
13.70
11.4
8.77
15.5
6.45
3.3
30.30
7.4
13.51
11.5
8.70
15.6
6.41
3.4
29.41
7.5
13.33
11.6
8.62
15.7
6.37
3.5
28.57
7.6
13.16
11.7
8.55
15.8
6.33
3.6
27.78
7.7
12.99
11.8
8.47
15.9
6.29
3.7
27.03
7.8
12.82
11.9
8.40
16
6.25
3.8
26.32
7.9
12.66
12
8.33
16.1
6.21
3.9
25.64
8
12.50
12.1
8.26
16.2
6.17
4
25.00
8.1
12.35
12.2
8.20
16.3
6.13
4.1
24.39
8.2
12.20
12.3
8.13
16.4
6.10
4.2
23.81
8.3
12.05
12.4
8.06
16.5
6.06
4.3
23.26
8.4
11.90
12.5
8.00
16.6
6.02
4.4
22.73
8.5
11.76
12.6
7.94
16.7
5.99
4.5
22.22
8.6
11.63
12.7
7.87
16.8
5.95
4.6
21.74
8.7
11.49
12.8
7.81
16.9
5.92
4.7
21.28
8.8
11.36
12.9
7.75
17
5.88
4.8
20.83
8.9
11.24
13
7.69
17.1
5.85
4.9
20.41
9
11.11
13.1
7.63
17.2
5.81
5
20.00
9.1
10.99
13.2
7.58
17.3
5.78
5.1
19.61
9.2
10.87
13.3
7.52
17.4
5.75
5.2
19.23
9.3
10.75
13.4
7.46
17.5
5.71
5.3
18.87
9.4
10.64
13.5
7.41
17.6
5.68
5.4
18.52
9.5
10.53
13.6
7.35
17.7
5.65
5.5
18.18
9.6
10.42
13.7
7.30
17.8
5.62
5.6
17.86
9.7
10.31
13.8
7.25
17.9
5.59
5.7
17.54
9.8
10.20
13.9
7.19
18
5.56
5.8
17.24
9.9
10.10
14
7.14
18.1
5.52
5.9
16.95
10
10.00
14.1
7.09
18.2
5.49
6
16.67
10.1
9.90
14.2
7.04
18.3
5.46
6.1
16.39
10.2
9.80
14.3
6.99
18.4
5.43
6.2
15.13
10.3
9.71
14.4
6.94
18.5
5.41
6.3
15.87
10.4
9.62
14.5
6.90
18.6
5.38
6.4
15.63
10.5
9.52
14.6
6.85
18.7
5.35
6.5
15.38
10.6
9.43
14.7
6.80
18.8
5.32
6.6
15.15
10.7
9.35
14.8
6.76
18.9
5.29
6.7
14.93
10.8
9.26
14.9
6.71
19
5.26
6.8
14.71
10.9
9.17
15
6.67
19.1
5.24
6.9
14.49
11
9.09
15.1
6.62
19.2
5.21
7
14.29
11.1
9.01
15.2
6.58
19.3
5.18
14
YARN CALCULATIONS
Tab le — (Continued)
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov.
of 12
Yd.
of 12
Yd.
of 12
Yd.
of 12
Yd.
19.4
5.15
23.5
4.26
27.6
3.62
33.4
2.99
19.5
5.13
23.6
4.24
27.7
3.61
33.6
2.98
19.6
5.10
23.7
4.22
27.8
3.60
33.8
2.96
19.7
5.08
23.8
4.20
27.9
3.58
34
2.94
19.8
5.05
23.9
4.18
28
3.57
34.2
2.92
19.9
5.03
24
4.17
28.1
3.56
34.4
2.91
20
5.00
24.1
4.15
28.2
3.55
34.6
2.89
20.1
4.98
24.2
4.13
28.3
3.53
34.8
2.87
20.2
4.95
24.3
4.12
28.4
3.52
35
2.86
20.3
4.93
24.4
4.10
28.5
3.51
35.2
2.84
20.4
4.90
24.5
4.08
28.6
3.50
35.4
2.82 ,
20.5
4.88
24.6
4.07
28.7
3.48
35.6
2.81
20.6
4.85
24.7
4.05
28.8
3.47
35.8
2.79
20.7
4.83
24.8
4.03
28.9
3.46
36
2.78
20.8
4.81
24.9
4.02
29
3.45
36.2
2.76
20.9
4.78
25
4.00
29.1
3.44
36.4
2.75
21
4.76
25.1
3.98
29.2
3.42
36.6
2.73
21.1
4.74
25.2
3.97
29.3
3.41
36.8
2.72
21.2
4.72
25.3
3.95
29.4
3.40
37
2.70
21.3
4.69
25.4
3.94
29.5
3.39
37.2
2.69
21.4
4.67
25.5
3.92
29.6
3.38
37.4
2.67
21.5
4.65
25.6
3.91
29.7
3.37
37.6
2.66
21.6
4.63
25.7
3.89
29.8
3.36
37.8
2.65
21.7
4.61
25.8
3.88
29.9
3.34
38
2.63
21.8
4.59
25.9
3.86
30
3.33
38.2
2.62
21.9
4.57
26
3.85
30.2
3.31
38.4
2.60
22
4.55
26.1
3.83
30.4
3.29
38.6
2.59
22.1
4.52
26.2
3.82
30.6
3.27
38.8
2.58
22.2
4.50
26.3
3.80
30.8
3.25
39
2.56
22.3
4.48
26.4
3.79
31
3.23
39.2
2.55
22.4
4.46
26.5
3.77
31.2
3.21
39.4
2.54
22.5
4.44
26.6
3.76
31.4
3.18
39.6
2.53
22.6
4.42
26.7
3.75
31.6
3.16
39.8
2.51
22.7
4.41
26.8
3.73
31.8
3.14
40
2.50
22.8
4.39
26.9
3.72
32
3.13
40.2
2.49
22.9
4.37
27
3.70
32.2
3.11
40.4
2.48
23
4.35
27.1
3.69
32.4
3.09
40.6
2.46
23.1
4.33
27.2
3.68
32.6
3.07
40.8
2.45
23.2
4.31
27.3
3.66
32.8
3.05
41
2.44
23.3
4.29
27.4
3.65
33
3.03
41.2
2.43
23.4
4.27
27.5
3.64
33.2
3.01
41.4
2.42
YARN CALCULATIONS
Table — (Continued)
15
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov.
Wt.
inGr.
Hank
of
Rov.
of 12
Yd.
of 12
Yd.
of 12
Yd.
of 12
Yd.
41.6
2.40
56
1.79
76
1.32
128
.78
41.8
2.39
56.5
1.77
77
1.30
130
.77
42
2.38
57
1.75
78
1.28
132
.76
42.2
2.37
57.5
1.74
79
1.27
134
.75
42.4
2.36
58
1.72
80
1.25
136
.74
42.6
2.35
58.5
1.71
81
1.23
138
.72
42.8
2.34
59
1.69
82
1.22
140
.71
43
2.33
59.5
1.68
83
1.20
145
.69
43.2
2.31
60
1.67
84
1.19
150
.67
43:4
2.30
60.5
1.65
85
1.18
155
.65
43.6
2.29
61
1.64
86
1.16
160
.63
43.8
2.28
61.5
1.63
87
1.15
165
.61
44
2.27
62
1.61
88
1.14
170
.59
44.2
2.26
62.5
1.60
89
1.12
175
.57
44.4
2.25
63
1.59
90
1.11
180
.56
44.6
2.24
63.5
1.57
91
1.10
185
.54
44.8
2.23
64
1.56
92
1.09
190
.53
45
2.22
64.5
1.55
93
1.08
195
.51
45.5
2.20
65
1.54
94
1.06
200
.50
46
2.17
65.5
1.53
95
1.05
210
.48
46.5
2.15
66
1.52
96
1.04
220
.45
47
2.13
66.5
1.50
97
1.03
230
.43
47.5
2.11
67
1.49
98
1.02
240
.42
48
2.08
67.5
1.48
99
1.01
250
.40
48.5
2.06
68
1.47
100
1.00
260
.38
49
2.04
68.5
1.46
102
.98
270
.37
49.5
2.02
69
1.45
104
.96
280
.36
50
2.00
69.5
1.44
106
.94
290
.34
50.5
1.98
70
1.43
108
.93
300
.33
51
1.96
70.5
1.42
110
.91
320
.31
51.5
1.94
71
1.41
112
.89
340
.29
52
1.92
71.5
1.40
114
.88
360
.28
52.5
. 1.90
72
1.39
116
.86
380
.26
53
1.89
72.5
1.38
118
.85
400
.25
53.5
1.87
73
1.37
120
.83
425
.24
54
1.85
73.5
1.36
122
.82
450
.22
54.5
1.83
74
1.35
124
.81
475
.21
55
1.82
74.5
1.34
126
.79
500
.20
55.5
1.80
75
1.33
16
YARN CALCULATIONS
If other than 120 yd. is weighed in the case of yam or 12 yd.
in the case of roving, the preceding tables are not appUcable.
The following table of dividends for numbering cotton
yam and roving, however, shows various numbers that are
used as dividends when various lengths of yam or roving, are
weighed. For instance, the weight in grains of 30 yd. of yarn
or roving divided into 250 gives as a quotient the counts of the
yarn or hank of the roving.
TABLE OF DIVIDENDS FOR NUMBERING COTTON
YARN AND ROVING
Divide
Divide
Yards
Weight in
Yards
Weight in
Weighed
Grains
Weighed
Grains
Into
Into
1
81
15
125
2
16f
20
1661
3
25
30
250
4
33^
40
333 i
6
50
60
500
8
661
120
1,000
10
83 §
240
2,000
12
100
480
4,000
Other Methods of Finding Counts of Cotton Yam. — The
following numbered paragraphs give various methods of find-
ing the counts of cotton yarn:
1. Multiply number of yards weighed by 8| and divide by
weight in grains.
2. Multiply number of yards weighed by 25 and divide by
3 times the weight in grains.
3. Add two ciphers (multiply by 100) to the number of
yards weighed and divide by 12 times the weight in grains.
4. Divide the number of yards weighed by .12 times the
weight in grains.
5. Multiply the number of inches that are required to
weigh 1 gr. by .2315.
6. Divide the number of inches of yarn that are required
to weigh 1 gr. by 4.32.
YARN CALCULATIONS 17
SILK YARNS
The use, in cotton mills, of silk yarns in connection
with cotton yarns in the production of high-grade and
fancy fabrics is constantly increasing. These yarns fre-
quently are used for filling in fabrics woven with combed
and mercerized cotton warps, such as fine shirtings. In
addition, silk yarns are used in many cotton fabrics as
ornamental, or figuring, threads in both warp and filling.
Several methods of designating the size, or counts, of
silk yarns are employed in the United States. Raw silk,
as imported into this country, is numbered in accordance
with the so-called "denier" system. Thrown silks, that is,
silk yarns prepared by the reeling, doubling, twisting,
etc. of raw silk, are prepared in various ways for many
different purposes. Those intended for warp yarn are
known as organzine; those to be used as filling yarn are
called tram. Thrown silks usually are designated accord-
ing to size by a method known as the "dram" system,
but sometimes the denier system is employed. Spun silk
yarns, produced by carding and spinning processes from
waste silk, and pierced, tangled, broken, and inferior
cocoons of the silk worm, are numbered in a manner
exactly similar to that employed in the case of cotton
yarns. That is, the size of these yarns is indicated by
the number of hanks, each 840 yds. in length, that are
required to weigh 1 lb.
The Denier System. — The denier system of designating
the size, or counts, of raw silks is based upon a skein of
yarn having a fixed length of 450 meters, and upon a
standard weight of 5 centigrams. The skein of yarn for
weighing usually is wound upon a reel having a cir-
cumferential dimension of 112J centimeters, thus requir-
ing 400 revolutions of the reel to produce a skein of yarn
containing the required length of 450 meters. If this
skein of yarn weighed 5 centigrams (.05 gram) it would
be a 1-denier silk; if the skein weighed 10 centigrams,
the yarn would be a 2-denier silk, etc. Practically, of
course, a silk yarn as fine as 1 denier in size is impos-
18 YARN CALCULATIONS
sible, since the individual filaments of silk as unwound
from the cocoon of the silkworm vary in size from
2 deniers to 4 deniers, or even coarser. The filament
from the cocoon is said to have an average size of about
2| deniers, so that if six of these filaments are reeled
together to produce a commercial raw silk yarn, the size
of that yarn will be about 131 deniers. The counting of
the cocoon filaments in raw silks to determine the
denier, however, may be considered only as corroborating
more accurate tests. It should never be accepted as a
certain indication of the denier, since the cocoon filament
not only varies in size in different varieties of silk but
also at different seasons of the year, and under other
conditions. An 8/10-denier silk, made from, perhaps, three
cocoons, is about the finest silk used in actual practice.
Raw silk is irregular, or uneven, in size to a consid-
erable extent on account of the natural variation in the
size of the silk filaments produced by the silkworm.
While careful reeling reduces this variation to a con-
siderable degree, raw silk yarns do not possess the
degree of uniformity in size and number of yards to the
pound that is characteristic of drawn and spun yarns,
such as cotton yarns. Therefore, the denier of a raw
silk yarn is always expressed by covering three deniers,
as, for instance, a 13/15-denier silk yarn, a 14/16-denier
silk, a 15/17-denier yarn, etc. These expressions mean,
in the first instance, that the silk varies in size from
13i to Hi deniers; in the second case, the possible varia-
tion is from 14| to 151 deniers; and, in the last example,
the size varies from 15i to 161 deniers. In making cal-
culations the average denier of raw silk yarns should be
considered. Thus, a 13/15-denier silk should be figured
as a 14-denier yarn, that is, as a silk 450 meters of
■which will weigh 70 centigrams (14X5=70).
Because of the variation in the size of raw silks a
single test to determine the denier of the yarn is unre-
liable and extremely unlikely to indicate the average
denier of the silk in any one bale. It is customary,
therefore, in determining the size of raw silks, to draw
YARN CALCULATIONS 19
10 skeins from each bale, taking the skeins from differ-
ent parts of the bale. From each of these skeins, three
reelings are made and, to their absolutely dry weight,
11 per cent, is added for normal moisture regain. The
average denier of these reelings is the denier of that
bale of silk and the variation in the weight of the
reelings indicates the variation in the size of the silk
in that particular bale, or the uniformity in size, or
otherwise, of the silk.
In addition to the foregoing test, a sizing test in,
which long reelings are made serves to indicate more
accurately the yardage per given weight of raw silks,
although it does not so clearly show the variation in
the size of the silk in a single bale. This is known as
the compound-sizing test and consists of making 20 reel-
ings of 4,500 meters each from skeins drawn from different
parts of each bale. Since the varying inequalities in
size are overrun by long reelings, this test is very reli-
able in giving the correct average size and average
number of yards per pound of the silk in a bale.
In making calculations relative to raw silks in
accordance with the denier system, the following metric
conversion table will be found useful:
DENIER SYSTEM CONVERSION TABLE
Standard length
of reeling =450 meters=492.13 yards
Standard weight,
or "denier" =5 centigrams=. 771618 grain
One meter =39.3704 inches=1.093623 yards
One gram =20 "denier" weights (.05 gram each)
One gram '=15.43236 grains
One ounce =567 (practically) "denier" weights
One ounce =437.5 grains
One pound =9,072 (practically) "denier" weights
One pound =7,000 grains
One pound =453.592 grams
20
YARN CALCULATIONS
Since the standard length for reeling is equal to 492.13
yd. and the standard weight, or "denier," is equal to
,771618 gr., the length per pound (7,000 gr.) of a theo-
AVERAGE YARDS PER POUND, DENIER SYSTEM
Yards per
Yards per
Denier
of
Silk
Average
Denier
Pound
(Calcu-
lated
Denier
of
Silk
Average
Denier
Pound
(Calcu-
lated
Average)
Average)
9/11
10
446,453
34/36
35
127,558
10/12
11
405,866
35/37
36
124,015
11/13
12
372,044
36/38
37
120,663
12/14
13
343,425
37/39
38
117,488
13/15
14
318,895
38/40
39
114,475
14/16
15
297,635
39/41
40
111,613
15/17
16
279,033
40/42
41
108,891
16/18
17
262,619
41/43
42
106,298
17/19
18
248,029
42/44
43
103,826
18/20
19
234,975
43/45
44
101,467
19/21
20
223,226
44/46
45
99,212
20/22
21
212,597
45/47
46
97,055
21/23
22
202,933
46/48
47
94,990
22/24
23
194,110
47/49
48
93,011
23/25
24
186,022
48/50
49
91,113
24/26
25
178,581
49/51
50
89,291
25/27
28
171,713
50/52
51
87,540
26/28
27
165,353
51/53
52
85,856
27/29
28
159,447
52/54
53
84,236
28/30
29
153,949
53/55
54
82,676
29/31
30
148,818
54/56
55
81,173
30/32
31
144,017
55/57
56
79,724
31/33
32
139,517
56/58
57
78,325
32/34
33
135,289
57/59
58
76,975
33/35
34
131,310
58/60
59
75,670
retical 1-denier silk would be as indicated by the following
calculation:
492.13 (yd.)X7,000 (gr. per lb.)
^^,^^„ , 3 — -. — r =4,464,527.7 or, prac-
.771618 (gr. per denier)
tically, 4,464,528 yd.
The following rules, therefore, may be used in connec-
YARN CALCULATIONS 21
tion with the denier system, and are especially adapted to
cotton-mill practice.
Rule. — To find the denier of raw silk yarns, divide
4,464,528 by the yards per pound of the silk.
Example. — If 600 yd. of raw silk weighs 21 grains,
what is the size of the silk?
Solution. —
600(yd.)X7 00gr.perlb.) ^ ^^
21 (gr.)
4,464,528-^200,000 (yd. per lb.)=22.32-denier silk
Rule. — To find the yards per pound of raw silk yarns,
divide 4,464,528 by the average denier of the silk.
Example. — How many yards are contained in one
pound of 14/16 denier raw silk?
Solution. — The average size of the silk in this case
can be assumed to be 15-denier. Then,
4,464,528^15=297,635.2 yd. per lb.
Rule. — To find the weight in pounds of raw silk, divide
4)464,528 by the denier of the silk and divide the quotient
thus^ obtained into the total number of yards.
Example. — What is the weight in pounds of 557,066
yards of 20-denier silk?
Solution.— 4,464,528^20=223,226.4 yd. per lb.
892,912-^557,066=21 lb.
The Dram System.— The dram system of designating
the size of thrown silk yarns is based upon a standard
length, or reeling, of 1,000 yards and the size of the
silk is determined by the weight in drams of this length
of yarn. For instance, if 1,000 yards of thrown silk
weigh 4 drams, the yarn is a 4-dram silk, etc. A
l,C00-yd. reeling is always made except in cases where
the silk is very coarse and a reeling of this length
would result in a bulky skein and cause excessive
waste in sizing the yarn. Under these circumstances,
500 yards or 250 yards are reeled and the weight in
drams of these lengths multiplied by two or four, as the
case may be, in order to obtain the true size of the silk.
Since one pound contains 256 drams, one pound of
one-dram silk will contain 256 times 1,000 yards, or
22 YARN CALCULATIONS
256,000 yards. Therefore, the following rules, especially
arranged for use in cotton mills, are applicable to
thrown silks numbered by the dram system.
Rule. — To find the drainage of thrown silk yarns, divide
2^6,000 by the yards per pound of the silk.
Example. — If 32,000 yards of thrown silk are required
to weigh one pound, what is the dramage of the yarn?
Solution. — 256,000^32,000=8-dram silk
Rule. — To find the yards per pound of thrown silk
yarns, divide 256,000 by the dramage of the silk.
Example. — How many yards of yarn are there in one
pound of 2j-dram silk?
Solution. — 256,000-^21=102,400 yd.
Rule. — To find the weight in pounds of thrown silk,
divide 256,000 by the dramage of the silk and divide the
quotient thus obtained into the total number of yards.
Example. — What is the weight in pounds of 819,200
yards of 5-dram silk?
Solution. — 256,000^5 = 51,200 yd. per lb.
819,200^-51,200=16 lb.
It will be noted that both the denier system and the
dram system of numbering silk yarns diifer materially in
principle from the systems employed in numbering cotton,
woolen, worsted, spun silk, etc., since in the former
cases the higher the number of the yarn the coarser it is,
and, in the latter systems, the higher the counts the finer
the yarn and the greater the number of yards per pound
that it contains.
In both the denier and the dram systems the weight
of the silk is taken "in the gum," that is, the natural gum,
or sericin, of the silk fiber is not removed by any
"boiling-off" process, nor is any compensation made for
the removal of the gum in calculations for finding the size
of the yarns. For this reason, silk yarns that have been
boiled off and, also, dyed will be finer and contain a
greater number of yards per pound than the indicated
size of the yarn warrants. The exact amount of this
change in the true counts and yards per pound of
boiled-off silks depends upon the variety of the silk and
YARN CALCULATIONS 23
the extent to which the boiling-oflf process is carried as
well as its nature, but will average fully 25 per cent, in
the case of dyed thrown silk.
The size of silks is sometimes designated in accordance
with the number of yards per ounce. Thus, a 20,000-yd,
silk is one 20,000 yards of which weigh one ounce.
Schappe, or spun waste, silk yarns imported from
Continental European countries, are usually numbered
with a standard hank, or skein, length of 500 meters and
a standard weight of h kilogram. This is practically
equal to 496 yd. per pound.
Denier and Dram Equivalent Counts.— Since a one-
denier silk contains 4,464,528 yd. per lb. and a one-dram
silk has 256,000 yd. per lb., the constant for converting
the counts of one system into the equivalent counts of the
other system is equal to 4,464,528-^256,000, or 17.44, and
the following rules apply:
Rule. — To convert a silk yarn, numbered by the denier
system, to equivalent counts in the dram system, divide
the deniers by I7-44-
Example. — What is the equivalent in the dram system
of a 24/26-denier silk?
Solution. — Considering the average size of the silk to
be 25 deniers,
25^17.44=1.433-dram silk
Rule. — To convert a silk yarn, numbered by the dram
system, to equivalent counts in the denier system, mul-
tiply the dramage by 17.44.
Example. — What is the equivalent in the denier system
of a 2-dram silk?
Solution. — 2Xl7.44=34.88-denier silk
Artificial Silk. — ^Artiiicial silk is produced by a com-
bination of various chemical and mechanical processes.
These operations, and the basic materials employed in
them, vary according to the desired nature of the finished
product, there being several varieties of artificial silk.
Cellulose artificial silk, which is produced in large
quantities, involves, in its manufacture, the chemical
treatment of some form of cellulose, such as cotton or
24 YARN CALCULATIONS
wood. The latter is generally employed, and is utilized
in the form of sulphite wood pulp which is chemically and
mechanically treated so as to form a viscous solution,
that is technically called viscose. This viscose is forced
under pressure through very fine orifices, called "spin-
nerets," into a solution that coagulates it into a con-
tinuous strand of a gelatinous nature. Further treatment
of a cleansing and finishing nature produces the artificial
silk of commerce.
Artificial silk is numbered by the denier system as in
the case of raw silk, and is seven or eight times coarser
in size than natural silk. These yarns are produced in
sizes from about 60 deniers to 600 deniers. The finer
sizes are not often obtainable, being imported from
Europe. The coarser sizes are in more frequent use, the
300-denier and 500-denier silks being quite often employed
and regularly produced.
OTHER YARN-NUMBERING SYSTEMS
Yarns made of materials other than cotton are num-
bered in a similar manner to cotton yarns, with the one
exception that the standard length is different. The
accompanying table gives the standard lengths used for
various yarns and as in each case higher numbers indicate
finer yarns, as in the cotton system, the same rules used
in cotton-yarn numbering may be applied, the standard
length only being altered as given in the table.
STANDARD LENGTHS OF YARNS
Yarns
Cotton
Spun silk
Worsted
Woolen (run system).
Woolen (cut system).
Linen
Standard Length
Yards
840
840
560
1,600
300
300
YARN CALCULATIONS 25
The run system is the standard American method of
numbering woolen yarns; the cut system is used prin-
cipally in Philadelphia and vicinity. Woolen yarn is also
numbered in some districts by stating the weight in grains
of a fixed length. In the "New Hampshire" system this
length is 50 yd.; in the "Little Falls" system, 25 yd.; in
the "Amsterdam" system, 122 yd., and in the "Cohoes"
system, 6i yd. A length of 20 yd. also is occasionally
used in connection with the system of expressing the
weight in grains.
The size of coarse Jute, flax, or hemp yarns is deter-
mined by the weight in pounds of a standard length of
14,400 yd., known as a spindle. Thus, if 14,400 yd.
weighs 4 lb., the yarn would be known as a 4-lb. yarn; if
it weighs 5 lb. it is a 5-lb. yarn, etc. In this system and
in the woolen grain systems, it will be noted that higher
numbers indicate coarser yarns.
METRIC SYSTEM OF YARN NUMBERING
From time to time there has been considerable agita-
tion relative to the adoption of one system and the
unification of the methods of indicating the degree of
fineness of yarns produced from the various fibers used
in the textile industry of the whole world. The chief
objection is that, from long usage, the methods at
present adopted are too well developed for a single cor-
poration or a single country to take on itself such a
reform, without being assured that its neighbors and
competitors will simultaneously and unanimously do the
same thing.
The method usually advocated is that of numbering all
classes of yarns by what is known as the metric system,
in which 1 meter of No. 1 yarn weighs 1 gram, the meter
being the unit of length in the metric system and the
gram the unit of weight. The equivalents of the meter
and the gram are as follows:
1 yard = .914 meter, 1 pound = 453.59 grams
26 YARN CALCULATIONS
To find the number of yarn in any present standard
system that corresponds to the number of yarn in the
metric standard system:
Rule. — Multiply the counts, given in the metric system, by
453-59 (gt'ams in i lb.) mid divide by the standard number
of yards to the pound in the present system multiplied by
.914 (meter in i yard).
Example. — A cotton yarn numbered according to the
metric system is marked 40s. Find the counts in the
present system.
c, 40X453.59 -, ^,, .
Solution.— 840X 914 ^^^•^^^^- '^"^•
To find the number of yarn in the metric standard
system that corresponds to the number of yarn in any
present standard system:
Rule. — Multiply the counts, given in the present system,
by the present standard number of yards to the pound
and by .914 (,m,eters in J yd.) and divide by 453.59 {grams
in I pound).
Example. — A worsted yarn numbered according to the
present system is marked 46s. Find the counts in the
metric system.
„ 46X560X.914 ., „„^ .
Solution. — t^ttt, = ol.907s. Ans.
453.59
EQUIVALENT COUNTS
Often it becomes necessary to place the counts of one
yarn in the system of another. That is, it may be neces-
sary to learn what the counts of a certain cotton yarn
■would be if it were numbered similarly to a worsted
thread. When two, three, or more threads made from
different raw stock and numbered according to different
methods are placed in the same system, they are said to
be reduced to equivalent counts.
Rule. — To find the counts of one system that is equiva-
lent to that of another, multiply the given counts by the
number of yards in the standard length of the specified
YARN CALCULATIONS
27
system and divide by the number of yards in the standard
length of the system required.
Example 1. — Find the equivalent of a 40s cotton in
worsted counts.
Solution.— 840X40=33,600
33,600^560=60s, worsted
Explanation. — Since there are 840 yd. of yarn in 1 lb.
of Is cotton, there will be 40X840, or 33,600, yd. in 1 lb.
of 40s. The question then is to find the worsted counts
of a yarn containing 33,600 yd. to the pound. Since
length divided by (standard multiplied by weight) equals
counts, then 33,600-^(560X1) must equal the counts.
Example 2. — Find the equivalent of a 16s cotton yarn
in the woolen run system.
Solution.— 840X16 = 13,440
13, 440^1,600=8. 4-run, woolen
SHORT METHODS OF FINDING EQUIVALENT
COUNTS
The accompanying table of multipliers, divisors, and
dividends may be used for finding quickly the equivalent
cotton counts of any yarn the counts of which are ex-
CONSTANTS FOR EQUIVALENT COTTON COUNTS
Yarn-Numbering System
Multiplier
Divisor
Dividend
Linen
.357 or t\
.667 or §
.59 or f
.019 or tIk
1.905 or fa
.357 or fj
2.8
1.5
1.7
52.5
.525
2.8
Worsted
Schappe Silk (496 yd.)
Silk (yards per ounce system)
Woolen (run system)
Woolen (cut system)
Woolen (New Ham-pshire
system)
416.67
Woolen (Little Falls system)
Woolen (Amsterdam system)
Woolen (Cohoes system) ....
Woolen (20 yd. grain system)
Silk (denier system)
Silk (dram system)
Coarse jute, fia:i, and hemp .
208.33
104.17
52.083
166.7
5,315
304.8
17.14
28 YARN CALCULATIONS
pressed in some other system. For instance, multiplying
the counts of a worsted yarn by .667 (§), or dividing the
counts by 1.5 i.f), gives the equivalent cotton counts of
the yarn. In a similar way, the counts of a silk yarn,
numbered by the denier system, if divided into 5,315
gives as a quotient the equivalent cotton counts.
TWIST IN YARNS
To impart to yarn the required strength it is necessary
to insert a certain amount of twist. Warp yarn requires
more twist than filling yarn, because it must withstand
a greater strain during the weaving process. The turns
of twist per inch vary with different mills and in various
kinds of yarn, but all systems are based on the follow-
ing rule:
Rtile. — To find the twist to be inserted in any counts of
yarns multiply the square root of the counts by the
standard, or constant, adopted.
In American mills, the twist constant adopted for ring-
spun warp yarn is usually 4.75, and for filling yarn 3.75.
Other constants frequently employed are shown in the
accompanying twist table, which also shows the turns of
twist per inch to be inserted in various counts of yarn.
Occasionally a twist constant of 4.50 is used for ring-
spun warp yarn and sometimes extra-twist mule-spun
warp yarn is produced with a constant of 4.00. For the
production of yarns for special purposes, twist constants
are varied as the case may demand.
Twist may be imparted to a yarn in either a right-hand
or a left-hand direction. There is some confusion as to
■what constitutes a right-hand or a left-hand twist, but
the general custom is to follow the universal machine-
shop practice in this matter, that is, a right-hand twist
in a yarn lies in the same direction as a right-hand
thread on a bolt or screw, etc. Right-hand twist is often
spoken of as "regular" twist.
YARN CALCULATIONS
29
TWIST
TABLE
Ring-
Counts,
or
Number,
of Yam
Ordinary
Ring-
Spun
Warp
Yam
Spun
Filling
and
Mule-
Spun
Warp
Yarn
Mule-
Spun
Filling
Yarn
Hosiery
Yam
Square
Root of
Counts
Twist
Constant
4.75
3.75
3.25
2.50
1
4.75
3.75
3.25
2.5
1.00
2
6.7
5.3
4.6
3.5
1.41
3
8.2
6.5
5.6
4.3
1.73
4
9.5
7.5
6.5
5.0
2.00
5
10.6
8.4
7.3
5.6
2.24
6
11.6
9.2
8.0
6.1
2.45
7
12.6
9.9
8.6
6.6
2.65
8
13.4
10.6
9.2
7.1
2.83
9
14.3
11.3
9.8
7.5
3.00
10
15.0
11.9
10.3
7.9
3.16
11
15.8
12.5
10.8
8.3
3.32
12
16.4
13.0
11.2
8.7
3.46
13
17.2
13.5
11.7
9.0
3.61
14
17.8
14.0
12.2
9.4
3.74
15
18.4
14.5
12.6
9.7
3.87
16
19.0
15.0
13.0
10.0
4.00
17
19.6
15.5
13.4
10.3
4.12
18
20.1
15.9
13.8
10.6
4.24
19
20.7
16.4
14.2
10.9
4.36
20
21.2
16.8
14.5
11.2
4.47
21
21.8
17.2
14.9
11.5
4.58
22
22.3
17.6
15.3
11.7
4.69
23
22.8
18.0
15.6
12.0
4.80
24
23.3
18.4
15.9
12.3
4.90
25
23.8
18.8
16.3
12.5
5.00
26
24.2
19.1
16.6
12.8
5.10
27
24.7
19.5
16.9
13.0
5.20
28
25.1
19.8
17.2
13.2
5.29
29
25.6
20.2
17.5
13.5
5.39
30
26.0
20.6
17.8
13.7
5.48
31
26.5
20.9
18.1
13.9
5.57
32
26.9
21.2
18.4
14.2
5.66
33
27.3
21.5
18.7
14.4
5.74
34
27.7
21.9
18.9
14.6
5.83
35
28.1
22.2
19.2
14.8
5.92
36
28.5
22.5
19.5
15.0
6.00
37
28.9
22.8
19.8
15.2
6.08
30
YARN CALCULATIONS
Table — (Continued)
Ring-
Counts,
Ordinary
Ring-
Spun
Warp
Yarn
Spun
Filling
Mule-
Square
Root of
or
and
Spun
Hosiery
Number,
of Yam
Mule-
Spun
Warp
Filling
Yarn
Yarn
Counts
Yarn
Twist
Constant
4.75
3.75
3.25
2.50
38
29.3
23.1
20.0
15.4
6.16
39
29.7
23.4
20.3
15.6
6.25
40
30.0
23.7
20.5 .
15.8
6.32
41
30.4
24.0
20.8
16.0
6.40
42
30.8
24.3
21.1
16.2
6.48
43
31.2
24.6
21.3
16.4
6.56
44
31.5
24.9
21.5
16.6
6.63
45
31.9
25.2
21.8
16.8
6.71
46
32.2
25.4
22.0
17.0
6.78
47
32.6
25.7
22.3
17.2
6.86
48
32.9
26.0
22.5
17.3
6.93
49
33.3
26.3
22.8
17.5
7.00
50
33.6
26.5
23.0
17.7
7.07
51
33.9
26.8
23.2
17.9
7.14
52
34.2
27.0
23.4
18.0
7.21
53
34.6
27.3
23.7
18.2
7.28
54
34.9
27.6
23.9
18.4
7.35
55
35.2
27.8
24.1
18.6
7.42
56
35.5
28.1
24.3
18.7
7.48
57
35.9
28.3
24.5
18.9
7.55
58
36.2
28.6
24.8
19.1
7.62
59
36.5
28.8
25.0
19.2
7.68
60
36.8
29.1
25.2
19.4
7.75
61
37.1
29.3
25.4
19.5
7.81
62
37.4
29.5
25.6
19.7
7.87
63
37.7
29.8
25.8
19.9
7.94
64
38.0
30.0
26.0
20.0
8.00
65
38.3
30.2
26.2
20.2
8.06
66
38.6
30.5
26.4
20.3
8.12
67
38.9
30.7
26.6
20.5
8.19
68
39.2
30.9
26.8
20.6
8.25
69
39.5
31.2
27.0
20.8
8.31 .
70
39.8
31.4
27.2
20.9
8.37
71
40.0
31.6
27.4
21.1
8.43
72
40.3
31.8
27.6
21.2
8.49
73
40.6
32.0
27.8
21.4
8.54
74
40.9
32.3
28.0
21.5
8.60
YARN CALCULATIONS
Table — (Continued)
31
Ring-
Counts,
or
Number,
of Yarn
Ordinary
Ring-
Spun
Warp
Yarn
Spun
Filling
and
Mule-
Spun
Warp
Yam
Mule-
Spun
Filling
Yarn
Hosiery
Yam
Square
Root of
Counts
Twist
Constant
4.75
3.75
3.25
?.50
75
41.1
32.5
28.1
21.7
8.66
76
41.4
32.7
28.3
21.8
8.72
77
41.7
32.9
28.5
22.0
8.78
78
41.9
33.1
28.7
22.1
8.83
79
42.2
33.3
28.9
22.2
8.89
80
42.5
33.5
29.1
22.4
8.94
81
42.8
33.8
29.3
22.5
9.00
82
43.0
34.0
29.4
22.7
9.06
83
43.3
34.2
29.6
22.8
9.11
84
43.6
34.4
29.8
22.9
9.17
85 ■
43.8
34.6
30.0
23.1
9.22
86
44.0
34.8
30.1
23.2
9.27
87
44.3
35.0
30.3
23.3
9.33
88
44.6
35.2
30.5
23.5
9.38
89
44.8
35.4
30.6
23.6
9.43
90
45.1
35.6
30.8
23.7
9.49
91
45.3
35.8
31.0
23.9
9.54
92
45.6
36.0
31.2
24.0
9.59
93
45.8
36.2
31.3
24.1
9.64
94
46.1
36.4
31.5
24.3
9.70
95
46.3
36.6
31.7
24.4
9.75
96
46.6
36.8
31.9
24.5
9.80
97
46.8
37.0
32.0
24.6
9.85
98
47.0
37.1
32.2
24.8
9.90
99
47.3
37.3
32.3
24.9
9.95
100
47.5
37.5
32.5
25.0
10.00
101
47.7
37.7
32.7
25.1
10.05
102
48.0
37.9
32.8
25.3
10.10
103
48.2
38.1
33.0
25.4
10.15
104
48.5
38.3
33.2
25.5
10.20
106
48.7
38.4
33.3
25.6
10.25
106
48.9
38.6
33.5
25.8
10.30
107
49.1
38.8
33.6
25.9
10.34
108
49.4
39.0
33.8
26.0
10.39
109
49.6
39.2
33.9
26.1
10.44
110
49.8
39.4
34.1
26.2
10.49
111
50.1
39.5
34.3
26.4
10.54
.32
YARN CALCULATIONS
Table — (Continued)
Ring-
Counts,
Ordinary
Ring-
Spun
Warp
Yam
Spun
FilUng
Mule-
Square
Root of
Counts
or
Number,
of Yarn
and
Mule-
Spun
Warp
Spun
Filling
Yam
Hosiery
Yarn
Yarn
Twist
Constant
4.75
3.75
3.25
2.50
112
50.3
39.7
34.4
26.5
10.58
113
50.5
39.9
34.5
26.6
10.63
114
50.7
40.1
34.7
26.7
10.68
115
50.9
40.2
34.8
26.8
10.72
116
51.2
40.4
35.0
26.9
10.77
117
51.4
40.6
35.2
27.1
10.82
118
51.6
40.7
35.3
27.2
10.86
119
51.8
40.9
35.5
27.3
10.91
120
52.0
41.1
35.6
27.4
10.95
121
52.3
41.3
35.8
27.5
11.00
122
52.5
41.4
35.9
27.6
11.05
123
52.7
41.6
36.0
27.7
11.09
124
52.9
41.8
36.2
27.9
11.14
125
53.1
41.9
36.3
28.0
11.18
126
53.3
42.1
36.5
28.1
11.23
127
53.5
42.3
36.6
28.2
11.27
128
53.7
42.4
36.8
28.3
11.31
129
54.0
42.6
36.9
28.4
11.36
130
54.2
42.8
37.1
28.5
11,40
131
54.4
42.9
37.2
28.6
11.45
132
54.6
43.1
37.3
28.7
11.49
133
54.8
43.2
37.5
28.8
11.53
134
55.0
43.4
37.6
29.0
11.58
135
55.2
43.6
37.8
29.1
11.62
136
55.4
43.7
37.9
29.2
11.66
137
55.6
43.9
38.0
29.3
11.70
138
55.8
44.1
38.2
29.4
11.75
139
56.0
44.2
38.3
29.5
11.79
140
56.2
44.4
38.4
29.6
11.83
141
56.4
44.5
38.6
29.7
11.87
142
56.6
44.7
38.7
29.8
11.92
143
56.8
44.9
38.9
29.9
11.96
144
57.0
45.0
39.0
30.0
12.00
145
57.2
45.2
39.1
30.1
12.04
146
57.4
45.3
39.3
30.2
12.08
147
57.6
45.5
39.4
30.3
12.12
148
57.8
45.6
39.6
30.4
12.17
YARN CALCULATIONS
33
BREAKING WEIGHT OF COTTON WARP
YARN
The strength of warp yarn is of great importance and these
yams should be frequently tested to determine whether the
proper standard of strength for the various counts is being
maintained. An instrument for determining the strength of a
yarn is shown in the accompanying illustration. In testing
the strength of the yam, it is the
custom to wrap, or reel, one skein
of 120 yd. of yarn, the reel being
1| yd. in circumference, and place
this skein on the hooks o, & of the
tester. By turning the handle
until the yam breaks, the niunber
of pounds required to break the
skein is registered on the dial.
To obtain fairly accurate results,
skeins from ionr or five bobbins
should be reeled and broken and
the results averaged. Care should
be taken to operate the tester at
as nearly a uniform speed as
possible or the results will be
erroneous; a power-driven tester
gives more reliable results than
one operated by hand. The skeins
of yarn should be carefully straight-
ened out when placed on the tester
and no twisted or tangled skeins
should be broken. The results
obtained by this machine are
averages only and do not show whether a yarn is evenly spun and
has a uniform strength throughout; only a single-thread test can
do that. Single-thread tests, however, are difficult to make and
of little value unless an exhaustive number of tests are made.
"When finding a standard breaking weight for carded warp
yams, the following rule may be employed.
34
YARN CALCULATIONS
Rule. — Divide the courds of the yarn into 1,800, and to the
quotient thus obtained add 3 lb. The result is a fair average
breaking weight in pounds of a standard skein of yarn.
AVERAGE BREAKING WEIGHT OF AMERICAN COTTON
WARP YARNS
Counts
of
Yarn
Carded
Warp
Yarn
Combed
Warp
Yarn
Counts
of
Yarn
Carded
Yarn
Combed
Warp
Yarn
Counts
of
Yarn
Combed
Warp
Yarn
6
303.0
414.0
36
53.0
66.4
66
34.9
7
26C.0
354.0
37
51.6
64.6
67
34.3
8
22S.0
310.0
38
50.4
62.8
68
33.8
9
203.0
275.0
39
43 2
61.1
69
33.2
10
1S3.0
2-17.0
40
43.0
59.5
70
32.7
11
167.0
224.0
41
46.9
58.0
71
32.2
12
153.0
205.0
42
45.9
58.5
72
31.7
13
142.0
189.0
43
44.9
55.1
73
31.2
14
132.0
17G.0
44
43.9
53.8
74
30.8
15
123.0
164.0
45
43.0
52.6
75
30.3
16
116.0
153.0
46
42.1
51.3
76
29.9
17
109.0
144.0
47
41.3
50.2
77
29.5
18
103.0
136.0
48
40.5
49.1
78
29.1
19
97.7
123.0
49
39.7
48.0
79
28.6
20
93.0
122.0
50
39.0
47.0
80
28.2
21
88.7
116.0
51
38.3
46.0
82
27.5
22
S4.8
111.0
52
37.6
45.1
84
26.8
23
81.3
106.0
53
37.0
44.2
86
26.1
24
7S.0
101.0
54
36.3
43.3
88
25.4
25
75.0
97.0
55
35.7
42.5
90
24.8
26
72.2
93.2
56
35.1
41.6
92
24.2
27
69.7
8D.6
57
34.6
40.9
94
23.6
28
67.3
£G.3
58
34.0
40.1
96
23.0
29
65.1
83.2
59
33.5
39.4
98
22.5
30
63.0
£3.3
60
33.0
38.7
100
22.0
31
61.1
77.6
61
32.5
38.0
104
21.0
32
59.3
75.1
62
32.0
37.3
108
20.1
33
57.5
72.8
63
31.6
36.7
112
19.3
34
55.9
70.5
64
31.1
36.1
116
18.6
35
54.4
63.4
65
30.7
35.5
120
17.8
When it is desired to find a standard breaking weight for
combed warp yams the following rule may be used:
YARN CALCULATIONS 35
Rule. — Divide the counts of the yarn into 2,500, and from the
quotient thus obtained subtract 3 lb.
The accompanying table, worked out by the preceding rules,
gives fair average breaking weights in pounds for standard
skeins of 120 yd., wrapped on a reel IJ yd. in circumference.
PLY YARNS
Method of Numbering. — Often two or more threads are
twisted together to form one coarser thread. Such yams are
commonly known as ply yarns, also sometimes called folded,
or twisted, yarns. The method of numbering cotton ply yarns
is that of giving the counts of the single yarns that are folded
and placing before these counts the number that indicates the
number of threads folded; thus, 2/40s indicates that two
threads of 40s single yarn are folded together, the folded yarn
being equal, in weight, to a single 20s yam. During the pro-
cess of twisting a slight contraction takes place. Consequently,
to make the resultant counts 20s, the single yarns that are folded
must necessarily be slightly finer than, or spun on the light side
of, 40s. However, this contraction will not be considered in
the rules and examples to be given, since it is so slight as not to
be a matter of mathematics.
PLY- YARN CALCULATIONS
Folded Yarns of the Same Counts. — It is not customary in
mills to fold yams of different counts, since, unless novelty or
special yams are required, single yams of equal counts m.ake the
best double, or ply, yams. Consequently, when yams of the
same counts are folded, in order to find the counts of the result-
ing ply yam, it is simply necessary to divide the counts of the
yams folded by the number of threads that constitute the ply
yam. For example, if three threads of 90s cotton are folded
to form a ply yarn, the resultant yam will be equivalent in
weight to a single 30s (90 -J- 3 = 30) . The counts of the ply yam
and the counts of the single yam that equal it in weight should
be carefully distinguished; thus, the above yam is equal in
weight to a single 30s, but is spoken of as a 3/90s, or 3-ply 90s.
26 YARN CALCULATIONS
The method of finding the counts, weight, and length of
ply yarns is similar to that explained in connection with single
yarns, with the exception that the counts of the ply yam do not
indicate the actual counts of the thread but instead indicate the
counts of the single yams folded. Consequently, when figuring
to find these particulars, the actual weight of the ply yam must
be taken into consideration, and, on this account, the counts of
the single yam that the ply yarn equals are considered and not
the counts of the single yarns that are folded.
Example 1.— What is the weight of 642,000 yd. of 2-ply
40s cotton yam?
642,000
Solution. — = 38.211b.
20X840
Explanation. — To make a 2-ply 40s, two ends of 40s are
twisted together; consequently, a yard of the ply yarn will
weigh just twice as much as a yard of one of the single yams
folded, which will make the ply yam equal in weight to a 20s
single yam. Therefore, 20, which is the actual counts of the
ply yam, is used in the calculation. Since length divided by
(counts multiplied by standard) equals weight, then 642,000 -r-
(20X840) must equal the weight of the yam.
Example 2.— What is the length of 20 lb. of 2-ply 36s
cotton?
Solution. — 20X 18X 840 = 302,400 yd.
Explanation. — ^A 2-ply 36s is composed of two threads of 36s
folded together; consequently, the weight of a yard of the ply
yarn must be just twice that of a yard of one of the ends folded
to make the ply yam. This will make the ply yam equal in
weight to an 18s single yam, and 18s must be used as the counts
of the ply yam in the calculation. Since weight times counts
times standard equals length, then 20 X 18X840 must equal the
number of yards in 20 lb. of 2-ply 36s.
Example 3. — What are the counts of a 2-ply cotton yam,
352,800 yd. of which weighs 10 lb.?
352,800
Solution. — =42s, or 2-ply 84s
10X840
Explanation. — Since length divided by (weight times
standard) equals counts, then 352,800-^(10X840) must give
YARN CALCULATIONS 37
the actual counts of the ply yam; that is, this result gives the
counts of the ply yam considered as a single yam, but since
two single yams are folded and each of these is just half as
heavy as the folded yam, then two ends of 84s must be folded
to make the ply yam, which, consequently, wiU be known as a
2-ply 84s.
Folded Yams of Different Counts. — ^Although not a common
practice, in some cases, especially when it is desired to make a
fancy yam, two yarns of different counts are folded and some-
times two yarns of different materials.
Suppose, for illustration, that it is desired to find the resultant
counts of a 40s cotton folded with a 203 cotton. Take as a
basis 840 yd. of each yarn; then 840 yd. of the 40s weighs :^ lb. ;
840 yd. of the 20s weighs^ lb. Consequently, after these yams
are folded, there will be 840 yd. of a ply yam the weight of
whichis5ny+5V = A lb.
The example now resolves itself into the following: What
are the counts of a yarn 840 yd. of which weighs £s lb? Since
length divided by (weight times standard) equals c ounts, then,
840
= 13.33s, counts of the ply yam.
AX840
This example has been worked out to some length in order
that the method of ntunbering ply yams may be thoroughly
understood. A shorter method, hov/ever, is as follows :
Rule — To find the resultant count when two threads of different
numbers are folded, multiply the two counts together and divide the
result thus obtained by the sum of the counts.
Example. — Same as previous example.
40X20
Solution. — = 13.33s, counts
40+20
Ply Yarns Composed of More Than Two Threads. — In many
cases it will be necessary to find the counts of a ply yarn made
from more than two single threads, when a somewhat different
process must be folllowed. For example, suppose that three
single threads — 24s, 36s, and 72s, respectively — are folded to
form a ply yam and it is required to ascertain the counts of the
resultant yarn. This may be done by following the rule pre-
viously given and performing two operations as follows:
38 YARN CALCULATIONS
First find the counts of the yam that would result from
folding the 24s with the 38s as follows:
24X36
= 14.4s
24+36
The example then resolves itself into the following: What
are the counts of a ply yam made from one thread of 14.4s and
one of 72s?
14.4X72
= 12s
14.4+72
A somewhat shorter method than this may be applied to 3
or more ply yarns made from different counts.
Rule. — Take the highest counts and divide it by itself and by
each of the other counts. Add the results thus obtained and
divide this result into the highest counts.
Note. — ^Although it is common practice to use the highest
counts as a dividend, this is not absolutely esssential, as any
counts, or in fact any number, may be used as the dividend
and the correct answer obtained.
ExAMPi-E. — Same as given previously.
Solution. — 72 -=-72 = 1
72 --36 = 2
72 :-24 = 3
6
72^6 = 12s
Rule. — To find the resultant counts when more than one end of
the different counts are folded, divide the highest counts by itself
and by each of the other counts. Multiply the result in each case
by the number of ends oftliat counts. Add the results thus obtained
and divide this result into the highest counts.
Example. — 4 ends of 80s and 3 ends of 60s are folded to
form a ply yam; what are the resultant counts?
Solution.— 80-^80=1; 1 X4 = 4
80^60=U; 11X3 = 4
8
80-4-8= 10s, resultant counts
When dealing with ply yams it often becomes necessary to
find the counts of a yam to be folded with another to produce
a given counts.
YARN CALCULATIONS 39
Rule. — Multiply the two counts together and divide by iheir
difference.
Example. — ^What counts must be fofded with a 50s to pro-
duce a ply yam equal in v/eight to a 30s?
50X30
Solution. — = 75s
50-30
Proof. — ^What are the counts of a ply yam made by twisting
a 50s with a 75s?
50X75
= 30s
50+75
Another calculation is that of finding the required weight of
each thread folded in order to produce a required weight of the
ply yam.
Rule. — Find the counts resulting from folding the two or more
threads; then, as the counts of one thread is to the resultant counts
so is the total weight to the weight required of that thread.
Example. — It is desired to produce 100 lb. of a ply yam com-
posed of an 80s and a 32s twisted together; what will be the
required weight of the 80s and also of the 32s?
80X32
Solution, — = 22.85s, resultant counts
80+32
32:22.85-100:*
100X22.8.S
x = = 71.40 lb. of 32s
32
80:22.85 = 100::x;
100X22.85
x= = 28.56 lb. of 80s
80
In a case similar to the example given above, after the weight
of one thread has been obtained, it is of course only necessary
to subtract that weight from the total weight in order to obtain
the weight of the other thread; or, in case more than two
threads are folded, then the weight of one of these threads may
always be obtained by subtracting the combined weight of the
other threads from the total weight of the ply yam.
Note. — In the previous example the weight of the 80s yam
plus the weight of the 32s yam should equal the weight of
the ply yam, but owing to the use of decimals, examples of
this kind seldom give exact results. Thus, 71.40 lb. +28.56 lb.
= 99.96 lb.; whereas the total weight should be 100 lb. -
40 YARN CALCULATIONS
Althougti the preceding rule states the logical method of
solving examples of this character, a short-cut method of finding
the weight of the single yams in any given weight of ply yam
is as follows:
Rule. — Divide any count by itself and 6y each of the other
counts; add the quotients thus obtained and divide their sum into
the total weight of the ply yarn. The final result is the weight of
that component yarn the counts of which was used as a dividend.
Calculation of Cost of Ply Yarns — If the price of each yam is
given and it is required to find the price per pound of the resul-
tant yam, it becomes necessary to multiply the weight of each
count of yam by its price, add the results, and divide by the
total weight. The answer will be the price per pound of the
ply yam.
Example. — If in the example previously given, the 80s yam
is worth 72c per pound and the 32s is worth 480 per pound, what
■will be the cost per pound of the ply yam?
Solution. —
71.40 lb. of 32s at 48c per lb. = $34.27, cost of the 32s yam
28.56 lb. of 80s at 72c per lb. = $20.56, cost of the 80s yam
- $34.27+$20.56 = $54.83, total cost of ply yam
$54.83-;- 100 = 54.8c per lb., cost of the ply yam
Another rule for finding the price of 2-ply yams when the
threads to be twisted together are of different values and dif-
ferent counts is as follows:
Rule. — Multiply the highest counts by the price of the lowest
counts and the lowest counts by the price of the highest. Add the
results thus obtained and divide this result by the sum of the
counts. The answer will be the price of the ply yarn.
Example. — ^A 32s yam costs 42c per pound and a 16s yam
costs 18c per pound; what will be the cost per pound of a ply
yarn restdting from twisting these two?
Solution. — 32x$.18 = $5.76; 16X$.42 = $6.72
$5.76-f$6.72 = $12.48; 32-f 16 = 48
$12.48-^48 = 26c.
PLY YARNS OF SPUN SILK
The numbering of ply yams made from spun silk will be found
to differ somewhat from the methods previously explained.
YARN CALCULATIONS 41
Thus, when numbering silk ply yarns, the counts resulting after
folding the yams is given and this number is followed by the
number that indicates how many threads are folded.
For example, 60/2 spun silk indicates that two threads of
I2O3 have been folded together. Thus, it will be seen that the
actual counts of the ply yam are given instead of the counts
of the single yam, as is the case in cotton, woolen, and worsted
ply yams .
Example 1.— What is the weight of 642,000 yd. of a 40s
2-ply sun silk?
642,000
Solution.— =19.107 lb.
40X840
Explanation. — 40s 2-ply spun silk is equal in weight to a
single thread of 40s. Consequently, 40 should be considered
as the counts of the ply yam when finding weight or length.
Since length divided by (counts times standard) equals weight,
the solution given must be correct.
Example 2. — What is the length of 20 lb. of a 30s 2-ply
spun silk?
Solution.— 840X30X20 = 504,000 yd.
Explanation. — A 30s 2-ply spun silk is equal in weight to
a single 30s; consequently, 30 should be considered as the
counts of the ply yarn. Since standard times counts times
weight equals length, 840X30X20 must equal the length of
the yarn. •
Example 3. — What are the counts of a 2-ply silk yam if
352,800 yd. weighs 10 lb.?
352,800
Solution. — = 42s 2-ply
10X840
Explanation. — The counts of the 2-ply yam would be
indicated as follows: 42/2 spun silk, which shows that two
ends of 84s have been twisted to make the ply yam.
PLY YARNS OF DIFFERENT MATERIALS
In all cases where threads of different materials are twisted
together, in order to perform any of the calculations previously
explained, it becomes necessary first to place these counts in
the same system of numbering yarnd.
42 YARN CALCULATIONS
Example. — A 36s cotton and a 48s worsted are twisted to
form a ply yam; what are the counts of the resultant yam?
Solution. — It is first necessary to ascertain in which system
the resultant yarn should be placed. In this case the counts
of the ply yam will be found in both the worsted and cotton
systems. In the first case, then, to find the worsted counts
of the ply yam resulting from twisting these two yams it is
necessary to find the equivalent counts of the 36s cotton in
the worsted system.
36X840
= 54s
560
The 36s cotton is found to equal a 54s worsted, so that the
question resolves itself into the following: What are the counts
-of a ply yam resuJting from twisting a 54s worsted and a 48s
worsted?
54X48
■ — = 25.41, worsted counts of the ply yam
54+48
Since in this example it is also required to find the counts
of the ply yam in the cotton system, it is therefore necessary
first to find the equivalent counts of the 48s worsted in cotton.
48X560
= 32s
840
Having placed the 48s worsted in the cotton system, treat
the worsted as if it were cotton and. find the counts of a ply
yam that will result from folding a 32s and a 36s cotton.
32 X 36
= 16.94, cotton counts of the ply yam
32+36
Prom this it is seen that if a 36s cotton and a 48s worsted
are twisted together, the counts of the resultant ply yarn will
be either 25.41s worsted or 16.94s cotton.
BEAMED YARNS
Warp yam before being woven into cloth is placed on what
are known as loom beams, a large number of ends of the same
length being placed on one beam. The calculations necessary
in connection with the yam on a beam will be found to be
similar to those used in connection with the length, weight.
YARN CALCULATIONS 43
and counts of single ends, the difference being that in the
previous cases only a single end was dealt with and in the case
of beamed yams a large number of ends must be taken into
consideration. Thus, for example, if each end on a beam is
1,000 yd. long and there are 2,000 ends, then there must be
2,000X 1,000 = 2,000,000 yd. of yam. This point should always
be taken into consideration when dealing with yam placed on
a beam.
Rule. — To find the counts of the yarn on a beam containing
only one size oj yarn, the weight, length, and nnmher of ends
being given, multiply the length, expressed in yards,' by the num-
ber of ends on the beam, and divide the result thus obtained by
the weight, expressed in pounds, times the standard number of
yards to the pound.
Example. — ^A warp beam contains 2,400 ends of cotton each
200 yd. long. The weight of this yam is 15 lb.; what are the
counts?
200X2,400
Solution. — ■ -= 38.095s
15X840
Explanation. — Since there are 2,400 ends and each end is
200 yd. long, there must be 2,400X200 = 480,000 yd. in all.
The question then resolves itself into finding the counts of a
yarn 480,000 yd. of which weighs 15 lb. Since length, in
yards, divided by (weight, in pounds, times standard) always
equals counts, 480,000 divided by (15X840) must give the
counts.
In some cases the weight given will be found to include
not only the weight of the yam but also that of the beam on
which the yam is placed. When this occurs, it is necessary first
to deduct the weight of the beam from the weight given, in
order to obtain the true weight of the yam.
Rule. — To find the number of ends on a beam when weight,
length of the warp, and size of the yarn are known, multiply the
weight, in pounds, by the standard number and by the size of the
yarn. Divide the result thus obtained by the length of the warp,
in yards.
Example 1. — A cotton warp is 1,200 yd. long and weighs
200 lb. exclusive of the beam. If the warp is composed of
20s yam, how many ends does it contain?
44 YARN CALCULATIONS
200X840X20 ^ ^^^ ,
Solution. — = 2,800 ends
1,200
Rule. — 20 find the weight of yarn on a beam when length,
number of ends, and counts are given, multiply the length, expressed
in yards, by the number of ends on the beam, avd divide the result
thus obtained by the standard number of yards times the counts
of the yarn.
Example. — ^A beam contains 2,400 ends of 20s cotton, the
warp being 500 yd. long; find the weight of the yarn.
500X2,400
Solution.— = 71.428 lb.
840X20
Explanation. — By multiplying the length of the warp by
the total number of ends on the beam the total length of
yarn on the beam is obtained; and since the length, expressed
in yards, divided by the standard times the counts equals the
weight, in pounds (2,400X500) -^ (840X20), will give the weight
of the yarn on the beam.
Rule. — To find the length of a warp when weight, number of
ends, and size of the yarn are known, multiply the weight of the
warp, in pounds, by the standard number and by the size of the
yarn, and divide the result thus obtained by the number of ends
in the warp.
Example. — A cotton warp contains 2,400 ends of 18s yarn
and weighs 200 lb. ; how long is it?
200X840X18
Solution.— = = 1 ,260 yd.
2,400
Rule. — To find the length of warp that can be placed on a
beam, find the weight of yarn that the beam will contain, by
weighing a beam of the same size when filled with yarn and
deducting the weight of the beam itself. Then apply the rule
previously given.
Example 2. — A certain size beam when filled with yarn
weighs 140 lb., the beam itself weighing 50 lb. What length
of a warp composed of 1,800 ends of 20s cotton can be placed
on it?
Solution. — 140 - 50 = 90 lb . of yam
90X840X20
= 840 vd.
1,800
yarn calculations 45
avera<;e numbers
In case different counts of yams are placed on the same
beam, as very frequently occurs, it will be found necessary
to first find the average number, or average counts, of the
different yarns before making other calculations. By the term
average number, or average counts, is meant a count of yam that
will give the same weight, provided that the same number of
ends and the same length occur in both cases. Thus, if 400
ends of 10s and 800 ends of 20s weigh a certain number of
pounds, then 1.200 (400+800) ends of the average counts
will weigh the same, provided that the ends are the same length
In both cases.
Rule. — To find the average counts of the ends on a beam when
the ends are of different counts, divide the total number of ends
of each count by its own count. Add these results together and
divide the result thus obtained into the total number of ends in
the warp.
Example. — There are placed on the same beam 1,800 ends
of 60s cotton and 800 ends of 40s cotton; what are the average
counts?
Solution.— 1800^ 60 = 30
800 4- 40 = 20
2 6 5
2,600-r-50 = 52s, average counts
In case more than two different counts are placed on the
same beam, the same rule will be fovmd to apply.
Example. — ^What are the average counts in case 200 ends
of 20s, 1,000 ends of 40s, and 900 ends of 45s are placed on the
same beam?
Solution. — 200-^ 20 = 10
1000-T-40 = 25
900 -^ 45 = 2J)
2 100 55
2,100-5-55 = 38.18s, average counts
In cases where the order of arranging the different counts of
yam in the warp is given, the total number of ends in the warp
not being known, the same rule will be found to apply by
46 YARN CALCULATIONS
considering the number of ends in the arrangement, or pattern,
as the total number of ends.
Example. — A warp is arranged 48 ends of 36s and 2 ends of
10s; find the average number.
Solution. — 48-^ 36 = 1.3 33
_2 4- 10 = ^2
5 1.5 3 3
504-1.533 = 32.615s, average number
If the yam is of different materials, such as cotton and worsted,
then it is necessary first to place the different counts in the
same system before applying the rule for finding the average
number.
Example. — ^There are placed on a beam 2,000 ends of 40s
cotton and 450 ends of 45s worsted; what are the average
counts in the cotton system?
Solution. — ^First find the equivalent cotton counts of 45s
worsted.
45X560
= 30s cotton
840
This example then resolves itself into finding the average
counts of 2,000 ends of 40s and 450 ends of 30s.
20004-40 = 50
450 H- 30 = 15
2450 65
2,450 -i- 65 = 37.69s, average counts
FANCY WARPS
When more than one color of yam is placed on the same
beam, it frequently becomes necessary to find the total number
of ends of each color and the weight of each particular yam.
In order fully to understand the explanations given in this
connection it will be necessary first to consider a few terms
that will frequently be met with. The yam that is placed on
the loom beam is known as the warp, or warp yarn. It is
this yam that forms the threads running lengthwise in the cloth
and is thus distinguished from the yam running across the
cloth, which is known as the filling. In case the warp yam is
composed of difierent colors or different counts, the order in
YARN CALCULATIONS 47
which the different counts or colors are placed on the beam
is known as the pattern of the warp. Thus, if the warp is
arranged 4 ends of black, 4 ends of white, 4 ends of black,
4 ends of white,- and so on across the cloth, the warp pattern
is said to be 4 black, 4 white.
To find the number of ends of each color of yam on a beam
when the warp pattern and total number of ends are given,
apply the following rule:
Rule. — As the number of ends in one pattern is to the number
of ends of any one color in the pattern, so is the total number of
ends in the warp to the total number of ends of that color.
Example. — The yam on a beam is arranged 16 ends black,
8 ends white, 16 ends black, 8 ends gray, how many ends of
each color are there if there are 2,400 ends on the beam?
Solution. — 1 6 ends black
S ends white
1 6 ends black
8 ends gray
4 8 = total number of ends in one pattern.
There are 32 ends of black in one pattern.
Therefore, 48 : 32 = 2,400 : x
32X2,400
x = =1,600 ends of black
48
There are 8 ends of white in one pattern.
Therefore, 48 : 8 = 2,400 : x
8X2,400
X = — = 400 ends of white
48
There are 8 ends of gray in one pattern.
Therefore, 48 : 8 = 2,400 : jc
8X2,400
X — = 400 ends of gray
48
If it is desired to find the weight of the ends of each color,
after having obtained the total number of ends of each color,
apply the rule tor finding weight when length, counts, and
number of ends are given.
CLOTH CALCULATIONS
CLOTH CALCULATIONS
Definitions. — ^After the warp yam has been wound on the
loom beam, the separate ends are drawn through the harnesses
and afterwards through the reed. The warp is then ready to
be placed in the loom. The harnesses are attached to mechan-
isms that raise and lower them; and, since some of the harnesses
are up while others are down, a division of the warp yam
must necessarily take place. It is through the space formed
by this division that the filling passes. This division of the
ends is known as the shed, and as the harnesses change posi-
tions, according to the weave desired, several different sheds
are obtained. By this manner of interlacing, the cloth is
formed.
The threads of a cloth that run lengthwise of the piece, or
the warp, are always spoken of as the ends, while those that
run from side to side are known as the picks. A cloth is said
to have a certain sley, which means that it contains so many ends
per inch. It is also spoken of as being such a pick cloth, by
which it is meant that the cloth has so many picks per inch.
Thus, regular print cloth is said to be 64-sley and 64-pick,
which means that the cloth contains 64 ends and 64 picks per
inch; this is known as the counts of the cloth. When cloth
contains the same number of ends per inch as picks it is spoken
of as being so many square. Thus, the print cloth just referred
to is known as 64 square.
When specifying the counts of a cloth in writing, the number
of ends per inch is always placed first and is followed by the
multiplication sign after which the number of picks per inch
is placed. Thus, if a cloth contains 80 ends and 60 picks per
inch, it is written 80X60 and, in speaking of the counts of
this cloth, it is said to be eighty by sixty.
In speaking of the weight of cotton cloth, the number of
yards in a pound is considered and the cloth is said to be a
so many yard cloth. Thus, ordinary print cloth is spoken of
as being a 7-yard cloth, which means that it takes 7 yd. of the
cloth to weigh 1 lb. This method differs very materially from
that in practice in the woolen and worsted trades, where a
CLOTH CALCULATIONS 49
cloth is said to be a so many ounce cloth; that is, if a piece of
cloth weighs 12 oz. to the yard it is said to be a 12-ounce cloth.
This method of expressing the weight of woolen and worsted
fabrics is also sometimes used for heavy cotton goods, such as
duck. A second method of expressing the weight of duck
fabrics is to consider the weight of a square yard; that is, a
piece of duck weighing 7 oz. to the square yard, is spoken of
as 7-ounce duck.
A third method that is largely used in connection with sail
ducks is arranged, or taken, from a standard duck, known as
a No. 3 duck that weighs 16 oz., or 1 lb. for 1 yd. of cloth
22 in. wide. For each ounce variation in the weight per yard,
22 in. wide, the number is altered by 1 . Thus a No. 4 duck
will weigh 15 oz., a No. 5 duck will weigh 14 oz; a No. 2 duck
will weigh 17 oz.; and a No. 1 duck will weigh 18 oz. Duck
fabrics heavier than the above are indicated thus: No. 1/0
duck tAW weigh 19 oz.; No. 2/0 duck will weigh 20 oz.; No. 3/0
duck will weigh 21 oz.; and so on.
A linear yard is considered by the first method irrespective
of width. A square yard is considered by the second method,
and the weights of all other widths must be expressed in propor-
tion to 36 in.; that is, a piece of duck 1 yd. long, 27 in. wide,
weighing 5^ oz., would be spoken of as a 7-ounce duck because
(Six 36) ^27 = 7 oz. per sq. yd. A duck 1 yd. long, 22 in.
wide, is considered by the third method, and the weights of
all other widths must be expressed in proportion to 22 in.
in exactly the same manner as shown in the square-yard
method.
The other specifications necessary in reproducing a piece of
cloth are the width, the counts of the warp yarn, and the
counts of the filling. In giving these specifications they are
shown as follows: 48X52 -36" -4. 15 yd. -18s warp -223
filling. The counts of the warp and filling are sometimes
written in the following form: 18s/22s. These specifications
show that the cloth is 48-sley, 52-pick, 36 in. wide, 4.15 yd.
to the pound, the warp being 18s, and the filling 22s.
so
CLOTH CALCULATIONS
HARNESS CALCULATIONS
The harnesses consist of small wires, or in many cases,
strong threads, known as heddles, near the center of which
eyes are formed, through which the warp ends are drawn.
Whenever a new warp is drawn in, it becomes necessary to
find the number of heddles that must be placed on each har-
ness, in order that there may be sufficient heddles for all the
warp ends on the beam. In order to perform such a calcula-
tion, the manner of drawing in the ends must be known.
This is learned by consulting the drawing-in draft, which
shows through which harness each end in one repeat of the
draft is drawn.
The accompanying illustration shows a drawing-in draft,
since it indicates through which harness the separate ends are
« '^ tS ,£ .« .d £'< < <
.
4
3
3
2
2
2
2
1
I
1
4th ZfaniMs
3rd
ist
drawn. Each figure indicates through which harness one
particular end is drawn; thus, the first end is drawn through the
first harness; the second end through the second harness; the
third end through the first harness; and so on through the 10
ends that constitute one repeat of the draft.
The necessary nvunber of heddles on any harness may be
found by the following rule:
Rule. — Find the number of repeats of the drawing-in draft in
the warp by dividing the total number of ends in the warp by the
number of ends in one repeat. Multiply the result by the number
of heddles required on any harness for one repeat. The result
will be the total number of heddles required on that harness.
Example. — If a warp contains 2,400 ends and is drawn in
according to the draft shown in the illustration, how many
heddles should be placed on each harness?
CLOTH CALCULATIONS 51
Solution. — 2400-5-10= 240 repeats of the pattern.
240X 3= 720 heddles on first harness
240X 4= 960 heddles on second harness
2 4 OX 2= 4 8 heddles on third harness
2 4 OX 1 = 240 heddles on fourth harness
2400
The drawing-in draft indicates that there are 3 ends drawn
on the first harness, 4 ends on the second harness, 2 ends on
the third harness, and 1 end on the fourth harness, in each
repeat; hence, 240 repeats times 3 equals 720 heddles on first
harness and so on. In all cases, a few extra heddles should
be added to each harness in order to meet all additional
requirements, for selvages, etc.
REEDS
The reed through which the ends are drawn after being
drawn through the harnesses, plays a very important part,
not only in the weaving, but also in all calculations connected
with cloth. Reeds are made of thin, flat pieces of steel wire
set into top and bottom pieces known as rihs.
The space between two adjoining wires in the reed is known
as a dent, and it is the number of these dents that the reed
contains in an inch that determines the counts of the reed.
Thus, for example, if a certain reed has 40 dents per inch, it
is known as a 40s reed. In many cases, however, reeds are
numbered by giving the ntmiber of dents in a certain number of
inches. For example, a reed maj' be numbered 1,200-30,
which indicates that it contains 1,200 dents in 30 in. It will
be seen that in both of these cases the counts of the reed are the
same.
Reeds are also sometimes spoken of as being such a sley;
thus, a reed may be said to be a 64-sley, which means that,
with the ends of a warp drawn in two per dent, the cloth will
contain 64 ends per inch. This does not indicate that there
are 32 dents per inch in the reed, since on account of the con-
traction that takes place during weaving, the yam at the reed
is slightly wider than it is after it becomes a part of the cloth
52 CLOTH CALCULATIONS
and, for this reason, the number of dents per inch is slightly
less.v
The first method, however, is the one generally used and
ntimerous mills that previously used the other systems have
adopted this method of ordering reeds with the required number
of dents per inch.
Reeds as sent out by the manufacturers are always marked
by one of the methods indicated above; that is, either accord-
ing to the number of dents per inch or the number of dents
in so many inches. However, reeds are sold by the bier.
The bier, as applied to reeds, means 20 dents; consequently,
when the price per reed is quoted at so much per bier, it means
so much for every 20 dents.
CALCULATIONS FOR WARP YARN
The first calculation necessary when dealing with cloth is
to find the total number of ends in the warp when the width
of the cloth and the ends per inch, or sley of the cloth, are given.
It should be noted that at the sides of all cloths additional ends
are placed in order to strengthen the fabric. These ends are
known as the selvage ends, and it is always necessary to consider
these. . They are generally ends like those of the body of the
warp, where such ends are all alike, or like those forming the
plain portion of a fancy cloth containing several varieties or
counts of warp yam. However, they are usually reedeil with
twice as many ends per dent as similar ends in the body of the
warp; thus, if a warp is drawn in two per dent, for about J in.
in width at each side the ends will be drawn in four per dent.
Selvage ends are also drawn double, or two ends per heddle,
wTien drawing them through the harnesses. In some cases,
however, where an especially strong selvage is required, ply
yams are used for selvage ends. Selvages are seldom over \ in.
in width, and generally speaking, from 12 to 20 additional ends
on each side will be found to be sufficient to allow for the
selvages.
The total ends in a cloth when the width and sley are given,
may be found by the following rule:
CLOTH CALCULATIONS 53
Rule. — Multiply the sley by the width and to the result thus
obtained add a certain number of ends for selvages.
Example. — Find the total number of ends in a cloth 36 in.
wide, and containing 48 ends per inch.
Solution. — 48 X 36 = 1,728 ends. Considering that 32
ends, or 16 double ends, are required at each side for selvages,
then 16 X 2 = 32 extra ends to be added, making 1,728+32
= 1,760 ends in cloth.
Contraction. — It is essential to take into account the con-
traction of the warp that occurs during weaving. This con-
traction affects both the length and width of the cloth; in con-
nection with the warp yam it is only necessary to consider the
contraction in the length.
Since, in the interlacing of the filling with the warp, the
two series of yams necessarily bend around each other to a
certain extent, it naturally follows that a piece of cloth will
not be quite as long as the warp from which it is made. This
difference between the length of the warp yam and the cloth
made from it is known as the contraction.
The factors that will tend to affect the amount of contrac-
tion that takes place are: The tension on the yam during
weaving; the comparative counts of the warp and filling, since,
if the warp is very much coarser than the filling, the filling
will do most of the bending, while the warp yam will lie in a
comparatively straight line; the class of weave, or, in other
words, the manner of interlacing the warp and filling, since
the warp yam will not contract so much in a weave where it
interlaces with the filHng only once in five picks as it will in a
weave where it interlaces at every pick. Weaves in which the
warp yams are drawn entirely out of a straight Une, such as
lenos, wiU contract the warp yam much more than will weaves
in which the warp yams lie in a comparatively straight line.
In practice, the actual percentage of contraction can be
readily obtained by comparing the length of cut at the slasher
with the length of cut after weaving.
The weight of warp yam contained in a cut of any length
may be found by the following rule:
Rule. — Multiply the number of ends in the cloth by the length of
the warp yarn in the cut before weaving, and divide by the standard
54 CLOTH CALCULATIONS
number of yards per hank multiplied by the counts of the warp
yarn.
Example. — ^A cloth 36 in. wide having 48 ends per inch con-
tains with the ends for selvages, 1,760 ends. Assuming that
this cloth is woven 50 yd. long from 53 yd. of warp; what is the
weight of the warp yam when the counts are 18s? .
1,760X53
Solution. — =6.169 lb. of warp yam
840X18
Allowance for Size. — One point that must be noted is that,
before weaving, size is placed on the warp yam, which adds
to its weight. The American custom of sizing yarn differs
considerably from that in Europe, where size is often added for
the purpose of weighting the cloth. In America, the prin-
cipal use of size is to strengthen the warp yarn so that it wii.l
withstand the strain and chafing that take place during weav-
ing, and, for this purpose, the amount of si7.e added is very
much smaller than that used when sizing for weight.
If the percentage of size added were calculated from the
weight of the cloth, the result would not be correct, since the
size is added only to the warp yam and not to the filling.
Therefore, this additional weight of size must be added to the
weight of the unsized warp yam. Generally, it will be found
that from 4% to 10% will cover all cases in America. If
the warp yam in 50 yd. of cloth weighs 6.169 lb. and 6% of
size is added ajt the slasher, then the weight of the sized warp
yam in 50 yd. of cloth will be 6.169X1.06 = 6.54 lb.» nearly.
CALCULATIONS FOR FILLING YARN
Width at Reed. — ^When figuring the amount of filling that a
cut of cloth contains, practically the same particulars are
considered that affect the contraction of the warp. Thus, if
a cloth is 36 in. ■wide, the space that the warp yam occupies
in the reed, or, as it is known, the width at the reed, will be
in excess of this width. Consequently, to find the exact
length of each pick of filling, it is necessary to consider the
width at the reed and not the width of the cloth. To find
the width at the reed it is first necessary to ascertain the
CLOTH CALCULATIONS 55
number of dents per inch in the reed or, in other words, the
counts of the reed.
The dents per inch in a reed to produce a cloth of a given
sley may be found by the following rule:
Rule. — Subtract 1 from the sley of the cloth, divide the result
by the number of ends per dent, and multiply the result thus
obtained by .95.
Example. — If a cloth is 48 sley and is reeded 2 ends per dent,
what counts of reed will be necessary to give this sley?
Solution. —
48-1 = 47
4 7 -^ 2 = 2 3.5
2 3.5 X .9 5 = 2 2.3 2 5, or say 22 dents per inch
Explanation. — By always subtracting 1 from the sley of
the cloth a sliding scale is obtained, which to a certain extent
offsets the diiference in the contraction of different counts of
yam. Thus, if the sley is 50 and 1 is subtracted, 2% is deducted
whereas if the sley is 100 and 1 is subtracted, only 1% is
deducted. Since there are 2 ends per dent, the sley m.ust be
divided by this number in order to obtain the dents that are
occupied by 1 in. of the warp as measured in the cloth. A
safe estimate of the contraction that takes place when running
medium counts of yams is 5%; therefore, the result obtained
by dividing by 2 is multiplied by .95 in order to obtain the
dents per inch. This percentage can be varied, however, to
suit various circumstances.
In many cases, also, the warp ends are drawn more than two
per dent ttiroughout the reed. Under such circumstances it
is always necessary to divide the result obtained by subtract-
ing 1 from the sley by the number of ends to each dent.
The width occupied by the warp yam in the reed, including
selvages, may be found by the following rule:
Rule. — Subtract the number of extra ends added for selvages
from the total number of ends in the warp. Divide this result
by the number of ends per dent and divide the result thus obtained
by the number of dents per inch in the reed.
Example. — If a cloth contains 1,760 ends, including 32
extra ends added for selvages, and the ends are drawn 2 per
dent in a 22s reed, what is the width at the reed?
56 CLOTH CALCULATIONS
Solution. —
1,760-32 = 1,728 ends
1 ,728 ^ 2 = 864 dents required for the warp
■ 864-f-22 = 39.27 in., width at reed
Explanation. — The 1,728 ends give the desired width in
reed when drawn 2 ends per dent throughout. The 16 extra ends
that are required for each selvage, or 32 extra ends in all, are
simply drawn extra in the dents of the reed at each side of the
fabric, making these dents contain 4 ends instead of 2 ends,
as in the body of the warp.
Finding the Weight of FiUing. — The weight of filling con-
tained in a cloth of any length may be found by the following
rule:
Rule. — Multiply the width in the reed, in inches, by the num-
ber of picks per incli. Multiply this result by the length of the
cloth, in yards, and divide the result thus obtained by the number
of yards to the hank multiplied by the counts of filling.
Example. — ^What is the weight of filling yarn in 50 yd. of
cloth that is 39.27 in. wide in the reed and contains 52 picks
per inch of 22s yam?
39.27X52X50
Solution. — ■ = 5.525 lb. of filling
840 X 22s
WEIGHT OF CLOTH
From the weights of warp and filling obtained the yards per
pound can be ascertained by the following rules:
Rule. — Add together the weights of warp and filling to find
the weight of cut; then divide the length of cut by this weight, and
the result will be the yards per pound.
- Example. — The weight of sized warp yam is 6.54 lb.; the
weight of filling is 5.525 lb.; the length of cut is 50 yd. Find
the number of yards per pound.
Solution.— Weight of 50-yd. cut is 6.54+5.525 = 12.065 lb.
50-^ 12.065 = 4.15 yd. per lb., nearly.
If it is desired to express the weight in ounces per yard instead
of yards per pound the following rules apply:
Rule I. — Multiply.the weight of cloth, in pounds, by 16 (pz. in
1 lb.) and divide by the length of cloth.
CLOTH CALCULATIONS 57
Example. — If 50 yd. of cloth weigh 12.065 lb.; what is the
weight in ounces per yard?
12.065X16
Solution. — = 3.86 oz. per yd.
50
Rule II. — Divide 16 {ounces per pound) hy the yards per
pound.
Example. — A cloth weighs 4.15 yd. per pound; what is the
weight expressed in ounces per yard?
Solution. — 16 -r- 4. 15 = 3.86 oz. per yd.
FIGURING PARTICULARS FROM CLOTH
SAMPLES
When a small sample of cloth is given from which to produce
a similar cloth, the particulars that must be learned from it
are the sley, pick, number of yards per pound, width of the
goods, and the counts of warp and filling yarns.
Sley and Pick. — In ordinary cases, the best method for finding
the sley is to use a pick glass, or, in some cases, to cut out a
small piece of cloth, say 1 or 2 in. square, pulling out the threads
one by one and counting them and in this manner obtaining
the number of ends per inch in the cloth. The same methods
may be adopted to find the picks per inch.
Yards per Pound. — The yards per pound can be found by
weighing a small sample and applying the following rule:
Rule. — Multiply 7.0Q0 hy the number of square inches weiqhed
and divide the result thus obtained hy the product of the weight,
in grains, of the piece weighed, the width of the cloth, and 36 {the
number of inches in 1 yd.) .
Example. — ^A piece of cloth 3 in. square is found to weigh
9 gr. ; what are the yards per pound if the cloth is 28 in. wide?
Solution. — A piece of cloth 3 in. square contains 9 sq. in.
7,000X9
= 6.94, say 7 yd. per lb.
9X28X36
Width of Cloth. — The width of cloth is usually specified,
the designer being furnished with only a small sample of the
fabric. As a matter of fact, the selling agents of the mill,
who usually submit the cloth sample, in most cases, also submit
58 CLOTH CALCULATIONS
the sley, pick, yards per pound, and width of cloth, leaving
the matter of counts of warp yam and counts of filling for the
designer to determine.
When not specified, the former items may be determined
as explained, but the counts of the yams must always be
ascertained. For instance, specifications are given for a
standard print cloth as follows: 64X64 — 28 in. — 7 yd. With
such specifications as these, the first step in determining the
proper counts of warp and filling yams is to find the average
counts of the cloth.
Average Counts, — The average counts of the warp and filling
yams in a fabric can be found by applying the following rule:
Rule. — Add the sley and pick together and multiply the sum
by 7,000 {gr. per lb.) and by the number of square inches weighed.
Divide this result by the product of the yards per hank {840) , the
inches per yard {36) , and the weight in grains of sample weighed.
Example. — A piece of cloth 3 in. square is found to weigh
9 gr., and contains 64 ends and 64 picks per inch. What is
the average number of warp and filling in the fabric?
Solution. — ^A piece of cloth 3 in. square contains 9 sq. in.
(64+64) X 7,000X9 __ ^ , ,
=29.63 average counts of cloth
840X36X9
In this solution the contraction in length and width that takes
place during weaving has not been considered, so that the
actual average number of warp and filling is somewhat coarser
than the result obtained. In all cases the warp length is greater
than the cloth length, and the width in reed is greater than the
vridth of cloth. No definite allowance can be made for this con-
traction, because there are several factors that make it impos-
sible to formulate a definite rule to suit all classes of fabrics.
Counts of Warp Yam. — ^rom the average number, the
counts of the warp yam to use is usually determined according
to the class of fabric under consideration. Ordinarily the warp
yam is a little coarser than the filling. However, in fabrics
having a warp face, the warp yam is usually of finer counts
than the filling, and in the case of filling-faced cloths the fill-
ing is usually of finer counts than the warp. The counts of the
warp are often decided on from the average number, that is,
in cases where the counts of the warp and filling yams are
CLOTH CALCULATIONS SO
nearly equal, and then the counts of filling are found to pre-
serve the yards per pound, as will be explained later.
Another method, and perhaps the one most often used, to
determine the counts of warp required to reproduce a fabric is
to test the warp yam in the sample under consideration by
comparing it with a known counts of yam. This is accom-
plished by taking a number of warp threads, say 10, from
the cloth sample, then take 10 threads of known counts of
yarn of approximately the same counts as in the cloth sample,
or as near as judgment v/ill allow; these threads need not be over
3 in. long. Now loop them together as shown in (a) in the
accompanying illustration and twist as shown in (ft). By
careful examination of the two series of ends either by the
naked eye or by means of a magnifying or pick glass it can be
/O Threae/s of ^ /O Threads of
/^g»y/7 Cou/rfs ) ( l/nknoyyn Counts
(aj
Known Cdunfs t/nAnovirn Counts
ascertained whether both are of approximately the same size
or not. Assuming in this case that the counts taken are 32s
and that the unknown yam is found by the above comparison
to be coarser than the known counts, then untwist the ends and
take out one thread from the unknown series and twist them
together again and so on until it is determined that both series
are of the same size when twisted together. If the known yam
was found to be coarser than the unknown, one thread at a
time would be removed from the known counts until both
series are of approximately the same size. Assuming that the
above comparison shows that both series are of equal size
when 9 threads of the tmknown yarn balance 10 threads of
the known yam, the imknown must be coarser than the
known in the ratio of 10 to 9. Then 10:9 = 32 : x; = and x will
equal 28.8s counts of warp yam. The general custom in cotton
nulls is to use the nearest cotmts of warp yam that is being
60 CLOTH CALCULATIONS
produced in that mill, so in this case it will be assumed that
30s warp yam is selected for the cloth sample vmder consideration.
The preceding method is commonly used in actual practice
in cotton mills and gives accurate results when the test is per-
formed by an experienced person. Of course, a definite length
of warp yam may be unravelled from the sample, weighed^
and the counts found in this manner. Even in such cases,
however, it is customary to use a counts of yam for the warp
that the mill is ordinarily spinning, if this is possible.
Ends in Warp. — ^Having decided on the counts of warp yam
to use, it is necessary to find the number of ends in the warp.
Example. — ^How many ends in a piece of cloth 28 in. wide,
and containing 64 ends per inch ?
Solution. — 64 X 28 = 1 ,792 ends
Considering that 28 ends, or 14 double ends, are reqviired at
each side for selvages, then 14X2=28 extra ends are to be
added, making 1,792 + 28 = 1,820 ends in warp. (See rule at
top of page 46.)
Weight of Warp Yam. — The weight of warp yam required
to produce 50 yd. of cloth is found as follows:
Example. — ^What weight of 30s warp yarn will be required
for 50 yd. of cloth if 52.5 yd. of warp yam are necessary and the
warp contains 1,820 ends?
1,820X52.5
Solution. — —=3.79 lb. of unsized warp yam
840X30
(See rule at bottom of page 46.) It will be assumed in this
case that 4% of size is added to the warp yarUo Then the
sized warp yarn will weigh 3.79X1.04 = 3.94 lb.
Reed. — The ntunber of the reed is calculated according to
the rule at top of page 48 as follows:
64-1 = 63
63-^2 = 31.5
31.5 X. 95 = 29.925, say 30 dents per inch
Width in Reed. — ^According to the rule at bottom of page 48,
the width in reed may be found as follows:
1,792-=- 2 (ends per dent) =896 dents
896-^30 = 29.866, say 30 in. in reed
Weight of Cut. — The weight of 50 yd. of cloth can be found
by dividing the length of cloth by the yards per pound. Thus,
CLOTH CALCULATIONS .61
50 -i- 7 = 7. 14 lb. Since the weight of the warp yam is 3.94 lb.,
7.14-3.94 = 3.20 lb. of filling is required to produce 50 yd. of
cloth.
Counts of Filling. — The counts of filling to preserve the yards
per pound can now be found by applying the following rule:
Rule. — Multiply the width in reed, in inches, by the number
of picks per inch and by the length of cloth, in yards. Divide
this result by the number of yards per hank and the weight of
filling.
Example. — ^What are the counts of filling required to pre-
serve the yards per pound when the width at reed is 30 in.,
the length of cloth 50 yd., the picks per inch 64, and the weight
of filUng 3.20 lb.?
30X64 VSO
Solution. — ^^ — = 35.7, say 36s filling
840X3.20
Summary. — The maniifacturing data relative to the fabric
dealt with in the preceding calculations may be stimmarized
as follows:
Sley and pick 64X64
Width of cloth 28 in.
Weight of cloth 7 yd. per lb.
Length of cut ■ 50 yd.
Counts of warp 30s
Ends in warp , 1,820
Weight of warp 3.79 lb.
Reed 30 dents per in.
Width at reed 30 in.
Weight of filling 3.20 lb.
Counts of filling 36s.
FANCY WARP PATTERNS
When the number of ends of each color, counts, or material
in the warp of a fabric that contains a warp~ pattern must be
ascertained, the following rule is applicable.
Rule. — Divide the number of ends in the warp, exclusive of
selvage ends, by the number of ends in one repeat of the warp
pattern. This result and the number of ends of each color, etc.,
in the warp pattern should be multiplied.
62 CLOTH CALCULATIONS
Example. — The warp pattern of a striped gingham is
arranged 12 white, 4 orange, 12 white, 4 blue ends; how many
ends of each color will be required for a warp containing
2,040 ends?
Solution. — Assuming that 48 ends of white yam are to be
used for selvages (12 double ends at each side of the fabric),
the ends in the body of the warp inside selvages will be 2,040
— 48 = 1,992 ends. In one repeat of this warp pattern there are
24 white ends, 4 orange ends, and 4 blue ends, a total of 32
ends per pattern. The repeats of the pattern in the warp
are, therefore, 1,992 -f- 32 = 62 repeats and 8 ends over. In a
case of this kind the 8 ends over full repeats of the pattern
would be considered to be white ends as are also the selvage
ends. The calculation of the ends of each color in the warp is,
therefore, as follows:
62X24+8+48 = 1,5 4 4 ends of white
62 X 4 =248 ends of orange
62X 4 =248 ends of blue
2 4 ends in warp
Note. — ^After the 12 double ends are drawn in for one
selvage, 10 single white ends should be drawn through the
harnesses. This will divide the 8 extra white ends and the
first 12 white ends in the pattern, so as to allow 10 white
ends to lie adjacent to each selvage. The pattern will then be
balanced, as it should be in all fabrics that contain a warp
pattern.
If desired, the weight of each color, kind, or counts of warp
yam may be found in the usual manner.
IRREGULAR REED DRAFTS
When the warp ends are drawn through the reed in an irregu-
lar manner, as is often the case, a method slightly different
from that previously described must be followed. Suppose,
for instance, that a fabric contains the following warp pattern:
40 ends of white, 40 ends of blue, 40 ends of white, and 20
ends of blue. Assume, also, that the 40 ends of blue occupy
exactly one-half as much space in the fabric as 40 ends of white
and that the 20 ends of blue occupy a space equal to one-fourth
of the space occupied l)y 40 ends of v/hite. It is apparent,
in this case, that the blue ends are reeded vnth twice the number
of ends per dent as the white ends, or, if the white ends are
CLOTH CALCULATIONS 63
reeded 2 ends per dent, then the blue ends must be drawn
4 ends per dent. Thus, the arrangement of this pattern is
as follows:
4 (white) -H 2 (ends per dent) = 20 dents
4 (blue) -r-4 (ends per dent) = 10 dents
4 (white) -f- 2 (ends per dent) =20 dents
2 (blue) 4-4 (ends per dent) = 5 dents
14 ends 5 5 dents
Since* 40 ends of white are found to occupy exactly | in.
in the fabric, it will be assumed that this fabric will be repro-
duced with a reed that would give an 80-sley fabric if the
ends were evenly reeded throughout the width of the cloth.
If it is also assumed that the fabric is to be woven 30 in. wide,
including selvages, the total number of dents is as follov/s:
80 (sley)X30 (inches wide)
— ; , ^-- ^ ^ = 1,200 dents
2 (ends per dent)
If 14 double ends or 28 single ends are allowed on each side
for selvages, making 28 double ends or 56 single ends in all,
and the selvages are drawn 2 double ends or 4 single ends per
dent, 7 dents on each side or 14 dents in all will be occupied
by the selvages. This will leave 1,200—14 = 1,186 dents for
the warp ends forming the body of the cloth. Then, 1,186
-;-53 (dents per pattern) =21 patterns and 31 dents over. The
31 dents over full patterns will accommodate 40 ends of white
(20 dents), 40 ends of blue (10 dents), and leave one extra
dent which would best be filled with 2 white ends. The
pattern, therefore, may be balanced in the cloth as follows:
Ends
Dents
28
7
20
10
•21 times 2,9 4 1,15 5
14 white double ends, 2 double ends per dent.
20 white ends, 2 ends per dent
40 blue ends, 4 per dent
40 white ends, 2 per dent
20 blue ends, 4 per dent
40 white ends, 2 per dent
40 blue ends, 4 per dent 40 10
22 T/hite ends, 2 per dent 22 11
14 white double ends, 2 double ends per dent . 2 S 7
Total 3078 1200
64 CLOTH CALCULATIONS
Since there are 60 blue ends per pattern, 21 patterns, and 40
blue ends ^.dditional, there are 60X21+40=1 ,300 blue ends, and
as the total number of ends is 3,078, there are 3,078-1,300
= 1,778 white ends.
CONTRACTION IN LENO AND LAPPET
FABRICS
The doup ends in leno fabrics and the lappet ends in
cloths constructed on the lappet principle are greatly deflected
from a straight line and hence, are much longer than the
ground ends that form the body of the cloth; the amount of
contraction in the weaving of these ends must, therefore, be
accurately determined. The best method of ascertaining the
relative length of doup ends or lappet ends as compared with
the ground ends of a fabric is to remove from a sample of the
cloth one or more of the doup ends or the lappet ends, as the
case may be, and then compare the length of the end or ends
removed with the length of the cloth sample. For instance,
suppose that several doup ends are removed from a sample of
leno fabric 9 in. in length, and are found to be exactly 11 in.
long. In this case, it is evident that whatever the length of
cloth to be woven, the doup ends must be longer than the cloth
length in the ratio of 11 to 9. For example, if 100 yd. of cloth
must be woven, the length of the doup ends must be
100X11
= 1221 yd.
9
In some leno fabrics, the ground ends, around which the
doup ends are crossed, are deflected from a straight line as weU
as the doup ends. In such cases they should be treated exactly
like doup ends, as previously explained.
As a further illustration of this principle, assume that several
lappet ends are removed from a piece of cloth 4| in. long and
are found to measure 28i in. In this instance, whatever length
of cloth is taken, the lappet ends must exceed the cloth length
in the ratio of 28i to 4|. Thus, for 100 yd. of cloth, the length
100X281
of each lappet end Vvill be = 633^ yd. If two or more
42
sets of doup ends are used in a fabric each set interlacing
i
CLOTH CALCULATIONS 65
differently, or if two or more sets of lappet ends are employed
in the fabric, each set having a different trailer pattern; then
each set must be considered separately when finding the length
of yam reqtiired. In all cases where two or more systems of
warp yam are used, the warp length required of each system
may be ascertained in the manner explained.
FANCY FILLING PATTERNS
To ascertain the weight of each color, kind, or material of
filling yam, the method of procedure is very similar to that
employed for finding similar data relating to warp yams.
The ntunber of picks of each color or kind of filling in one repeat
of the filling pattern is ascertained first, and then the picks per
inch or relative proportion, of each color or kind, etc., is found,
after which the weight of each may be determined in the
ordinary manner.
Example. — The filling pattern of a gingham fabric is
arranged 12 picks of white, 4 picks of orange, 12 picks of white
and 4 picks of blue. If the width in reed is 30 in., counts of
filling yam 36s, and picks per inch 68, what weight of each color
of filling yam will be required to weave 100 yd. of cloth?
Solution. — In one repeat of the filling pattern there are 24
picks of white, 4 picks of orange, and 4 picks of blue, making a
total of 32 picks in the pattern. In the filling, therefore, §f of
the yam is white, #^ is orange and ^2 blue. Applying the rule
given on page 49 , the total weight of the filhng yarn in 100 yd.
of cloth is found as follows:
30X68X100
= 6.746 lb.
840X36
Then the weight required of each color of filling will be
6.746 XM = 5 . 6 lb. white
6.746X^= . 8 4 3 lb. orange
6.746X^= ■ 8 4 3 l b. blue.
6.7461b.
The example may be solved to find the weight of each color
in one operation as follows:
66' CLOTH CALCULATIONS
30X68X100X24 ^ _ ,^ ,.
= 5.06 lb. white
840X36X32
30X68X100X4
= .843 lb. orange
' 840X36X32
30X68X100X4 ^^^ ,^ ^^
= .843 lb. blue
840X36X32
5.06 + .843 + .843 = 6.746 lb. weight of filUng
In some fabrics the filling yam is not only of different colors,
kinds, or materials, but also of different counts; and, in some
cases, there may be more picks of certain kinds of filling yam
in a given space than of other kinds. In such cases the calcula-
tions for finding the weight of each kind or color of filling yam in
a given length of cloth must of necessity dift'er from those
already dealt with. For illustration, suppose that in a certain
fabric the filKng pattern is arranged 12 picks of blue, 24 picks
of white, 12 picks of tan and 24 picks of white. It will be
assumed, also, that a 50-yd. cut of cloth is to be produced and
the width in the reed is 30 in. On examination of the fabric it
is found that the counts of the different kinds of filling yam and
the space occupied by each in one repeat of the filling pattern
are as follows:
Counts Space Occupied
1 2 blue 36s i in.
2 4 white 24s J in.
1 2 tan 40s | in.
2 4 white 24s \ in.
7 2 picks in pattern \\ in.
The average picks in 1 in. of each color may be found by
simple proportion. There are 48 picks of white in 1\ in.,
48X1
which equals = 38.4 picks of white filling per inch. 1 here
12X1
are 12 picks of blue filling in Ij in., which equals = 9.6
picks of blue filling per inch. There are also 9.6 picks of tan
filling per inch.
The weight of each color of filling yam can now be found by
applying the rule on page 53, thus:
CLOTH CALCULATIONS 67
38.4X30X50
= 2.857 lb. of 24s filling (white)
840X24
9.6X30X50
= .476 lb. of 36s filling (blue)
840X36
9.6X30X50
= .428 lb. of 40s filling (tan)
840X40
MISCELLANEOUS SHORT RULES FOR
CLOTH CALCULATIONS
Average Counts of Cloth. — The average number of yarn in a
cloth of ordinary construction may be found by the following
rule:
Rule. — Add the sley and the pick together; multiply this
result by the width and the result thus obtained by the yards per
pound and divide this result by 760. The answer will be the
average number of the yarns.
In this rule the standard 760 has been used instead of the
ordinary standard 840, in order to make allowances for the
contraction in length and width during weaving and for the
size placed on the warp yam. This constant will be found
applicable to usual cases, but may be varied at will to suit any
special range of fabrics.
Example. — It is desired to find the average number of a
cloth containing 60 ends and 66 picks per inch, the cloth being
30 in. wide and weighing 5 yd. per lb.
Solution.— 60+66 = 126; 126X30 = 3,780
3,780X5 = 18,900; 18,900 4- 760 = 24.8s, average ntunber
Counts of Filling to Preserve Weight of Cloth. — ^Another rule
that wiU be found accurate for cloths of ordinary construction
is to find the counts of filling required to preserve the weight of
the cloth when the average number of the yams in the cloth and
the counts of the warp are known.
Rule. — Add the sley and the pick together and divide by the
average number. Divide the sley by the counts of the warp.
Subtract the result obtained in the second instance from the result
obtained in the first and divide the result thus obtained into the
68 CLOTH CALCULATIONS
picks per inch. The answer will be the counts of the filling
required.
Example. — ^With the particulars the same as in the preceding
example and taking 22s as the counts of the warp, find the
counts of filling required to be used to preserve the weight of the
cloth.
Solution.— 60+66 = 126; 126-^24.8 = 5.08
60 H- 22 = 2.72; 5.08-2.72 = 2.36
66 ^2.36 = 27.96s, counts of filling required to preserve
weight.
Average Counts of Filling. — ^When the filling contains differ-
ent counts of yam, the average counts of the filling may be
found by the same method used to find the counts of filling
required to produce cloth of a given weight. Then, with
the counts of one of the kinds of filling known, find the counts
of the other filling required to produce cloth of the given
weight.
Rule. — Divide the total number of picks in the pattern by the
average counts of the filling. Also divide the number of picks of
the known counts of filling by its counts. Subtract the result
obtained in the second instance from the result obtained in the
first, and divide the difference into the number of picks of the
unknown counts.
Example. — A piece of cloth, 64X64, is 27 in. wide, and has
the warp and filling arranged 46 ends of fine and 3 ends of
cord. The coimts of the fine yam in the warp are 30s and of
the cord 10s. If the cloth weighs 6.4 yd. to the pound, what
counts of fine filling must be used to preserve the yards per
pound?
Solution. — First find the average counts of the warp.
46-5-30=1.53
3-^10= .30
49 1.83
49 -^ 1.83 = 27s, nearly, average counts of warp.
Next find the average counts of warp and filling.
64+64 = 128
128X27X6.4
= 29.1 03s, average counts of warp and filhng.
760
CLOTH CALCULATIONS 69
Next find the average counts of filling.
64+64 = 128; 128-^29.103=4.398
64-^27 = 2.37; 4.398-2.37 = 2.028
64 -^ 2.008 = 31 .558s, average counts of filling
The question nov/ is to find the counts of the cord and the
fine yam in the filling to preserve the yards per pound, the
average counts of the filling and the arrangement of the yam
in the filling being known. In cases of this kind it would be
unlikely that a mill would employ different counts of cord in
both warp and filling, consequently it would be safe to assume
the counts of the cord in the filling to be the same as that in the
warp, after which it wotdd only be necessary to find the counts
of the fine filling.
49 -T- 31 .558 = 1.552
_34-10 = .300
46 1.252
46 ^- 1.252 = 36.741s, counts of fine filling
Warp Contraction. — The percentage to allow for warp con-
traction during weaving may be found by the following rule:
Rule. — Multiply the number of picks per inch by 3 and divide
by the counts of the fdUng. The result will be the percentage to
allow for contraction.
Example. — The number of picks per inch in a certain cloth
is 60, the counts of the filling are 36s; what will be the length
of the cloth made from 100 yd. of warp yam?
60X3
Solution. — = 5, percentage to allow for contraction.
36
5% of 100 = 5; 100 yd. -5 yd. = 95 yd. of cloth.
This rule, when taking into consideration the points pre-
viously mentioned, is comparatively accurate for counts of
filling from 25s to 50s and for picks from 40 to 80 per in. and
will serve as a basis when finding the contraction of any warp.
By varying the constant 3 to suit special circumstances rules
can be formulated to suit requirements; or if the usual rate of
contraction in a certain mill on certain goods is found, it will not
be difficult to form a good idea of the contraction in other
cloths.
70 CLOTH CALCULATIONS
Weight of Warp Yam. — The weight in ounces of warp yam
per yard of cloth may be found by the following rule:
Rule. — Mzdiiply the counts of the yarn by 105 and divide into
twice the number of ends in the warp.
Example. — ^A cotton warp contains 2,100 ends of 30s yam;
what is the weight per yard?
2,100X2
Solution. — = If oz.
105X30
Weight of Filling Yarn. — The weight in ounces of filling yam
per yard of cloth may be found by the following rule:
Rule. — Multiply the width by the picks per inch and by 2 and
divide by 106 times the counts of the yarn.
Example. — ^What is the weight of filling in a yard of cloth
28 in. wide if it contains 75 picks per inch of 40s cotton yam?
28X75X2
Solution. — = 1 oz.
105X40
Hanks of Warp Yarn. — The hanks of warp yam per cut of
cloth may be found by the following rule:
Rule. — Muttiply the ends in the warp by the length of the warp
yarn before weaving and divide by Slfi.
Example. — ^A cloth contains 1,680 warp ends and 55 yd. of
warp are required to produce a 50-yd. cut of cloth. How many
hanks of warp yam are required?
1,680X55 , ,
Solution. — =110 hanks
840
Hanks of Filling Yarn. — The hanks of filling yam per cut of
cloth may be found by the following rule:
Rule. — Multiply the width in the reed, in inches, by the number
of picks per inch. Multiply this result by the length of the cloth,
in yards, and divide the result thus obtained by the number of yards
to the hank.
Example. — It is desired to learn how much filling there will
be in a 50-yd. cut of cloth reeded 26| in. wide and containing
90 picks per inch.
Solution.— 26| X 00 = 2.400
2,400X50
= 142.85 hanks
840
DRAFT CALCULATIONS 71
DRAFT CALCULATIONS
In the mantifacture of cotton yams a principle is adopted
that must be considered in connection with abnost every pro-
cess from the opening of the raw cotton to and including the
spinning of the yam — ^that known as drafting. In the cotton-
mill business the term drafting refers to the principle of attenu-
ating, or drawing out, a comparatively large mass of cotton
fibers into a thinner but longer mass. This may be done by
means of air-currents, by which the fibers are separated one
from the other and carried along by a current of air and depos-
ited on rotating screens delivering the sheet of cotton at a higher
speed than that at which it is fed into the machine; it may be
performed by rapidly-rotating cylinders and rolls covered with
wire teeth, which elongate the mass of fibers even to the extent
of separation, depositing them again at a given rate on a con-
denser, or doffer; or it may be, and most frequently is, per-
formed by means of revolving rolls. It is to the principles of
drafting by means of successive pairs of revolving rolls that
most frequent reference will be made.
Objects of Drafting. — In attenuating, or drawing out, a
mass of cotton, there are three principal objects: the first is to
reduce the lap, sliver, or roving to a less weight per yard , that is,
attenuating it gradually to the desired degree of fineness; the
second object is that of arranging and improving the arrange-
ment of the fibers in a parallel order so that they may lie side
by side and overlap one another; the third object is that of
evening the strand of fibers to eliminate thick or thin places,
which is done by a combination of drafting and doubling. The
use of successive pairs of drawing rolls is largely adopted to
arrive at these results. This principle is made use of in most
cotton-yam-preparation machines by having carefully con-
structed and adjusted rolls, the rear ones holding the mass of
fibers and running at a slow speed, the forward ones tightly
gripping a portion of the fibers and revolving at a greater speed.
This arrangement is duplicated again and again, until in some
machines there are as many as four pairs of rolls successively
acting on the fibers. The qui ckly- rotating pair of rolls draws
72 DRAFT CALCULATIONS
the fibers away from the slowly-rotating rolls, and as the fibers
are gripped by their fore ends and pulled forwards, the loose
rear ends trail behind and tend to become straightened out as
they are drawn from the portion held by the slowly-rotating
rolls.
Doubling. — The attenuating and parallelizing of the mass
of fibers tends to reduce its thickness and make a thin sheet
or strand where there was formerly a thick one, and if continued
indefinitely would result in destroying the continuity of the
sliver or roving. To prevent this, doubling is resorted to in most
of the cotton-yam-preparation machines. Briefly explained,
this means that, instead of feeding only one lap, sliver, or
roving at the back of each machine, two or more are fed
together, making one at the front; this not only helps to
compensate for the excessive attenuation, but has the great
advantage of helping to correct unevenness in the original
mass of fiber fed to the machine. By feeding several together
the thick or thin places of any one are combined with other
slivers of normal size, or thick places with thin ones, and the
combination of two, three, four, five, or six independent slivers
or rovings, which are drawn out into one, results in an even-
ness not attainable in any other manner. Draft refers to the
ratio of attenuation, and drafting refers to the attenuation only,
ha^'ing no reference to the parallelizing or evening features
mentioned.
DRAFTING WITH COMMON ROLLS
A section though four pairs of rolls is represented in the
accompan>dng illustration, the lower rolls a, b, c, d, being con-
structed of steel and fluted longitudinally. The upper rolls
ax, bi, ci, di, are constructed of iron with a covering of flarmel
immediately around them, and a thin leather covering outside
of the flannel. These rolls are not fluted, and are pressed
against the bottom rolls by means of weights. The rolls d, di
between which the material is fed should always be spoken
of as the feed-rolls or back rolls, the roll di being distinguished
from the roll d by the term back top roll. The roUs delivering
the material, represented by a and ai, should always be spoken
DRAFT CALCULATIONS
73
of as the delivery rolls or front rolls, the roll oi being called
the front top roll. The first pair of intermediate rolls, is
spoken of as the second pair of rolls; and the third pair, as
the third pair of rolls. Thus, the roll a is the front, or delivery
roll; b, is the second roll; c, the third roll; and d, the back roll,
or feed-roll.
The circumferential speed of the upper and lower roll in
each pair, is the same; that is, a point on the surface of d moves
at the same speed as a point on the surface of Ji, because di is
driven by frictional contact with d. The same remarks apply
to any other pair in the series.
The back roll, which "is the feed-roll, always rotates at the
slowest speed and the front roll at the highest, the speed of
the other rolls being so arranged that c revolves a little more
quickly than d, and b still more qmckly than c, but at a less
speed than a. The direction of rotation of the rolls is shown by
a small arrow within the section of each.
Between d and di, a riVjbon of cotton is fed and is carried
forwards, as shown, between each pair of rolls, until it emerges'
at the front. The upper rolls are weighted in such a manner
as to firmly grip the fibers that pass below them, and thus if the
si)aces between the centers of each pair of rolls are properly
adjusted and the relative speeds of the rolls accurately arranged,
the principle of drawing the fibers past one another by m.eans of
a firm grip of their fore ends, the rear ends trailing behind, is
achieved. The same conditions continuously exist in the
machine, because as the forward rolls pass fibers forwards,
the rear rolls are supplying new ones, and the results are thus
comparatively even and regular.
74 DRAFT CALCULATIONS
The illustration shows the gradual attenuation or reduction
in size of the mass of cotton, owing to the increased speed
of each pair of rolls over the. preceding pair. It will be seen
that if the surface speed of the back roll is 60 in. per min. and
that of the front roU 360 in., the sliver emerging from the front
roll will be six times as long and consequently one-sixth as
coarse, i. e., of one-sixth the weight per unit of length, as
when entering the back roll.
The arrangement just described is only one of many found
in cotton-yam-preparation machinery and is merely given as
an example. Draft could be produced between only two pairs
of rolls almost contiguous; again, these two rolls, known as the
feed-roll and delivery roll, respectively, might have between
them a large number of other rolls, or a number of cylinders or
rollers, or other means of producing draft, but the draft would
be computed between the feed-rolls and the delivery rolls if the
total draft were desired.
Methods of Finding Draft. — Draft is the ratio of the speed
of the delivery to that of the feed part of a machine. It indi-
cates the ratio between the surface speed of the front, or
delivery, roll and the surface speed of the back, or feed, roll,
and may be found in different ways, as follows:
1. By dividing the space moved through in a given time by a
point on the surface of the feed-roll, into the space moved
through in the same time by a point on the surface of the
delivery roll.
2. By dividing the weight per unit of length of the product
delivered, into the weight of the same length of the material
fed into the feed-rolls.
3. By dividing the length delivered by the delivery roll in a
certain time, by the length fed into the feed-roll in the same
time-
It will be observed that these three methods of finding the
draft deal with the ratio between the length, weight, or speed
of the material fed and the corresponding condition of the
material delivered; and from these examples will be deduced
the facts that while the length of material fed into the machine
is increased by drafting, the weight per unit of length is always
decreased in the same proportion.
DRAFT CALCULATIONS
75
Draft may therefore be defined in various ways, thus: (1)
The ratio between th-j length delivered and the length fed in a
certain time; (2) the ratio of speed between a point on the
delivery roll and a point on the feed-roll; (3) the number of
times that a certain length of material is increased while being
operated on; (4) the ratio between the weight of a certain
length of material fed and the weight of the same length of
material delivered; (5) the number of times that the weight of a
certain length of material is decreased while being operated on.
GEARING OF ROLLS
Draft calculations are ordinarily performed by taking into
consideration the weight per unit of length of the material being
fed or delivered and the gearing that connects the delivery and
feed-rolls as well as the sizes of the rolls themselves.
Pig. 1
Figs. 1 and 2 are views of four pairs of rolls and their gearing.
The front rolls are marked a and ci; the second top roll, 6i;
the third, ci; and the back top roll, di. The bottom roll a
drives the back bottom roll by a train of gears e, f, g, h; e is on
the roll a; /j is on the back roU; / and g are compounded and
revolve on a stud. The third bottom roll is diiven from the
'-^ack roll by means of three gears i, k, I, Fig. 2; j is on the back
roll; I is on the third roll; and k is an idler, or carrier, gear
76
DRAFT CALCULATIONS
revolving on a stud. The second bottom roll is driven from
the roll a by means of three gears vt, n, o; m is on the second
roll; o is on the front roll a; and « is a carrier gear revolving
on a stud.
A carrier gear is usually placed between a driver and a driven
gear when it is not convenient to make the latter large enough
to mesh with each other, or where it is necessary to change the
direction of motion of the driven gear without changing its
speed. It is important, in connection with draft calculations,
to notice which gears are merely carrier gears, as a carrier gear
does not affect the speed, and must be left out of aU calculations
of trains of gears of which it forms a unit.
Fig. 2
The sizes of the rolls shown in Figs. 1 and 2 are as follows:
Front roll a. If in.; second roll. If in.; third roll, li in.; fourth
roll. If in. These dimensions represent the diameter of the
roll in each case.
The simplest method of showing draft rolls and their gearing,
is to make a diagram in which horizontal lines are drawn to show
the lines of rolls, and short lines drawn at right angles to these
to indicate the gears connecting the rolls.
Fig. 3 shows a diagram that would represent the rolls and
gearing shown in both Figs. 1 and 2. This indicates that
there are four lines of rolls and that the power is received by
DRAFT CALCULATIONS 77
the tight and loose pulley shown on the front-roll shaft. It
further shows that motion is conveyed to the back roll from
the front roll by means of the gears e, f,g,h; that the third roll
is driven from the back roll by means of the gears j, k, I; and
that the second roll is driven from the front roll by the gears
m, n, o. The ntmaber of teeth in each gear is shown in the figure,
as well as the diameters of the rolls. The arrows indicate the
places where the driving gears connect with the driven gears
and point from the driving toward the driven gears.
DRIVING AND DRIVEN GEARS
It is a matter of great convenience in dealing with calculations
of drafts to be able to refer to certain gears as driven gears and
others as driving gears, but it is frequently difficult to determine
which are driven gears and which are driving gears; for trains
of gears driving draft rolls are often complicated, as one gear
may transmit motion to two trains of gears and these in turn
drive back to other trains of gears. In all cases in connection
/^-l ^ Is"
W'
mSfA
Draff Cfiange Gear-g
//'
eZ2
Fig. 3
with draft calculations, therefore, it is advisable to consider
that the gear on the end of the delivery roll, which transmits
motion to the other roll or rolls, is a driver, whether it is, or is
not, in fact; and starting from this point, the next gear would
therefore be a driven, the third a driver, the fourth a driven,
ignoring carrier, or idler, gears.
For example, if it is desired to find the draft between the
third and back rolls in Fig. 3, as only these two rolls are to
78 DRAFT CALCULATIONS
be considered, the third roll would be considered the delivery
roll and the gear I the driver, while the gear j on the back roll
must be the driven, k being a carrier and consequently left out
of the calculation. The fourth roll would be considered to be
the feed-roll.
CALCULATING DRAFT OF COMMON ROLLS
Although in reality the draft between two pairs of rolls rep-
resents the ratio of the circumferential speed of one pair to
the circumferential speed of the other, it is not necessary to take
into consideration the circumference of the rolls when calculat-
ing draft, as the circumferences of two circles, or rolls, bear the
same relation to each other as do their diameters.
The sizes of rolls also, are usually expressed by their diameters,
and it is easier to measure the diameter than the circumference
of a roil. In draft calculations only the sizes of the bottom
rolls are taken into account. The top rolls are driven by
frictional contact with the bottom rolls, and therefore revolve
at the same circumferential speed; consequently, the sizes of
the top rolls can be ignored.
Another point to be taken into consideration is that the
diameters of draft rolls in cotton machinery are always expressed
in inches and fractions of an inch. It is, therefore, far simpler,
when performing draft calculations, to change the numbers
representing the diameters of the rolls to fractions having a
common denominator, and then omit these common denomi-
nators from the calculations.
In practice, when calculating drafts by means of gears, the
diameters of the rolls and the sizes of the gears must be con-
sidered, and the following rule will be found to meet almost
every possible combination of gears and rolls of which the draft
is reqxdred to be calculated.
Rule. — Always assume that the gear on the delivery roll is a
driver; multiply all driven gears by the diameter of the delivery
roll, expressed in eighths of an inch, and divide by the product
of all the driving gears and the diameter of the feed-roll, expressed
in eighths of an inch.
Referring to the arrangement of draft rolls and gears repre-
sented by the diagram, in Fig. 3, the application of the rule to
DRAFT CALCULATIONS 79
finding the draft between a and d would result in the diameter
of the roll a and the number of teeth in the gears / and h being
placed as the numerator of a fraction, and the diameter of the
roll d and the number of teeth in the gears e and g as the denomi-
nator of the fraction; consequentlj', an increase in the diameter
of the front roll would cause an increased draft. An increase
in the size of the gears f or h would also cause an increased
draft, and an increase in the size of the feed-roll, or an increase
in the size of the gears e or g would caiise a decreased draft.
For instance, assuming that the speed of the front roll
remains the same and its diameter is increased, the draft would
be increased, as it would deliver a greater length in the same
space of time. An increase in the size of the back roll would
reduce the draft, because a greater length of material would
be fed to the rolls while the same length was being delivered
at the front, and consequently the draft must be smaller. Sim-
ilarly, an increase in the size of the gears eor g would result in
the feed-roll taking in more material in the same space of time,
consequently reducing the draft; and an increase in the size
of the gears f or h would result in the feed-roll taking in less
material in the same space of time and, as the length delivered
at the front would remain the same, the draft would be increased.
In figuring drafts, the gear on the delivery roll may be con-
sidered as a driver, and the next gear will be a driven, and so on
alternately throughout the train of gears, always provided that
the carrier gears in the train, if any, are ignored in consequence
of their being simply idlers and not affecting the amount of
draft. The delivery roll should be understood as the front roll
of those rolls between which the draft is to be calculated. If
the draft is being figured between a and d. Fig. 3, a is the
delivery roll; if between b and c, b is the delivery roll.
In the combination of rolls shown in Fig. 3, it is possible
to calculate several diflerent drafts: (1) the total draft, which
represents the extent of attenuation between the back roll
and the front roll; (2) the draft between the front roll and the
second; (3) the draft betv/een the second and third rolls; and
(4) the draft between the third and fourth rolls. The accu-
racy of the calculation for the total draft can always be proved
by miiltiplying the individual drafts together.
80 DRAFT CALCULATIONS
Example 1. — ^Referring to Fig. 3, the front roll is 11 in. in
diameter and carries a 22-tooth gear driving a 98-tooth gear.
Compounded with this is a 65 gear driving a 70-tooth gear on
the back roll, which is li in. in diameter. What is the total
draft, or the draft between the front and back pairs of rolls?
11X98X70 , , ,
Solution. — ■ = 5.86, total draft
22X65X9
Example 2. — Referring to Fig. 3, the front roll is If in. in
diameter and carries an 18-tooth gear driving a 54 on the second
roll, which is also If in. in diameter. What is the draft between
these two pair of rolls?
11X54 ^ ^ ^
Solution. — =3, draft
18X11
Example 3. — Referring to Fig. 3, the second roll is If in. in
diameter and carries a 54-tooth gear driving an 18 on the front
roll. On the other end of the front roll is a 22 driving a 98
compounded with a 65, which drives a 70 on the back roll.
On the other end of the back roll is a 40 driving a 30 on the
third roll, which is 1| in. in diameter. What is the draft
between the second and the third rolls?
Solution. —
11X18X98X70X30 ^ _ , ,
=1.466, draft
54X22X65X40X9
Example 4. — The third roll in Fig. 3 is driven from the back
roll. The back roll is li in. in diameter and carries a 40-tooth
gear driving a 30 on the third roll, which is also li in. in
diameter. What is the draft between these two pairs of rolls?
9X40
Solution. — =1.333, draft
30X9
Proof. — The total draft as found in example 1 may be
proved, as already stated, by multiplying together the drafts
obtained in examples 2, 3, and 4.
3X 1.466X 1.333 = 5.86, total draft
BREAK DRAFT
Break draft is a draft between two contiguous pairs of rolls
that are not directly connected by means of gears. Reference
to Pig. 3 indicates that the second and third pairs of rolls are
DRAFT CALCULATIONS
81
adjacent to each other, and yet are not directly connected, the
driving of the third pair of rolls being attained by means of a
long train of gears from the delivery roll, and the second roll is
driven by a short train of gears from the delivery roll. The
break draft in this case, therefore, occurs between the second
and third pair of rolls, which are not directly connected.
Break draft may be found in two ways, one method being
to start with the gear m, Fig. 3, and finish with the gear I, using
the diameters of the rolls b and c.
The second method is to calculate the total draft between the
first and fourth rolls, Fig. 3; then between the third and fourth;
and next between the first and second rolls. The drafts
between the third and fourth and the first and second rolls
are multiplied together and divided into the draft between
the first and fourth rolls, or the total draft. The quotient
will be the break draft, or the draft between the second and
third rolls.
if . /i"
ir
Ji'
li'
n/6
Vro/t Cf!on^e Sear— ^8/-
'f)7(f
-fflS
^.20
Fig, 4
Example. — Find the break draft, or draft between the second
and third pairs of rolls shown in Fig. 3.
Solution (o) . — Figured according to the first method,
11X18X98X70X30
= 1.466, break draft •
54X22X65X40X9
Solution (6), — Figured according to the second method,
9X40
= 1.333, draft between third and fourth rolls
30X9
82
DRAFT CALCULATIONS
11X54
18X11
= 3, draft between first and second rolls
11X98X70
= 5.863, total draft
22X65X9
1.333X3 = 3.999; 5.863 -v- 3.999 = 1.466, break draft
Fig. 4 shows four pairs of drawing rolls geared in a different
manner from that shown in Fig. 3. In this case the gear e on
the front roll a drives the third roll c by means of the gears /, g,
h', the fourth roll d is driven from the third roll by the gears
j, k, I; k is an idler, or carrier, gear. The second roll b is
driven from the third roll by the gears j, m, n; the gear m is an
idler, or carrier, gear. The break draft in this case is located
between the first and second roUs and is calculated thus:
11X115X70X16 „^,^ ^ , ^ ,
= 2.915, break draft
20X81X30X10
METALLIC ROLLS
In recent years metallic rolls have been introduced, especially
on the preparatory machines in the processes of cotton-yam
Fig. 5
preparation. Owing to the peculiar construction of these rolls,
the niles previously given for figuring draft do not apply to them
DRAFT CALCULATIONS 83
without modification. Both the upper and lower rolls are, in
this case, constructed of steel, and both rolls ajre fluted longi-
tudinally. These flutes are different in shape and considerably
- ^ coarser than the flutes
_ ^fea. in common steel rolls,
nii^ ■,i.x^..-v.---A^^^^ ^^^^x - a ^;^T-^ a,nd when in operation
t \ w I ^ ' ~ the flutes of one roll
project into the flutes
of the other roll, the
rolls being prevented
^ . i, ya==^^ from coming into too
close contact by means
of collars.
Fig. 5 is a view of a
■(^ set of metallic rolls in
Fig. 6 position. Fig. 6 gives
a view of the ends of two rolls; 6 and 6i are the fluted por-
tions of the bottom and top rolls, respectively, meshing into
one another; a and oi are the collars on the rolls, which pre-
vent the flutes from bottoming. The collars are slightly
smaller than the outside diameter of the boss, which is the
name applied to each fluted portion of the rolls, and thus pro-
vides for a certain degree of meshing between the bosses.
A section through a por- ^ /////>r/r/r/////////////////// / //
tion of the two rolls is
shown in Fig. 7. The
sliver c as operated on
by the rolls is also indi- "^'"'jn
cated. ^ '<^^---^///S^///i^S^^^t$^:s5$$^$^$^S!^^^$$r<*-
Calculating Production
and Draft. — The crimp-
ing action of metallic .;w^
rolls causes a greater "^^
length to be fed and -c, -
delivered than in the
case of common rolls of the same diameter. It is usually
assumed that one-third more material is delivered by a
metallic roll than by a common roll of the same diameter
84 DRAFT CALCULATIONS
on this account, the zigzag lines of the circumference being
about 33|% longer than the circumference of a circle passing
through the points of the teeth. To obtain accurate results
in figuring production with metallic rolls, therefore, a cer-
tain percentage — usually 33| — ^must be added to the diam-
eter of each roll. A 1-in. roll would be taken as 1.33 in.;
l|-in., 1.5 in.; li-in., 1.67 in.; If-in., 1.83 in.; IJ-in. 2 in.
The foregoing allowances are for ordinary metallic roUsi
constructed with 32 flutes for each inch of diameter. Metallic
drawing rolls are made with flutes of varying pitch, either 16
pitch, 24 pitch, or 32 pitch. This means that for each inch of
diameter of the roll there are either 16, 24, or 32 flutes. For
instance, li-in. roll of 32 pitch would have 40 flutes in its
circumference. The allowance of 33 J % is made in case of rolls
being constructed of 32 pitch, but for 16-pitch rolls this
allowance is increased to 50%, and for 24 flutes to the
inch, an allowance of 40% is made.
Another feature to consider in connection with metallic rolls
is that the extent of the crimping action or attenuation through
the interlocking of the rolls is less for heavy slivers than for
light slivers, as heavy slivers resist the tendency of the rolls to
interlock, and, in some cases where they are insufficiently
weighted, will raise the top roll and pass through in almost a
straight hne. It therefore follows that the drafting action is
greater with light slivers than with heavy ones, and that if the
front and back rolls of the machine are both the same pitch in
the flutes, the drafting action of the back pair of rolls is less
thar? that of the front pair, since the sliver becomes thinner as
it passes forwards through the machine, on account of being
acted on b^^ the draft between each successive pair of rolls;
thus the greater draft of metallic rolls is really caused by the
difference in the relative effect of the crimping action at the
back rolls and at the front rolls.
The action of metallic rolls as compared with common rolls
may be described as follows, assuming that a comparison is
being made between a set of four pairs of common and four pairs
of metallic rolls all of the same outside diameter, aU geared
in the same manner, and all running at the same speed. The
back metallic rolls would absorb approximately 25% more
DRAFT CALCULATIONS 85
material fed into them and the front rolls would deliver
approximately 33^% more material than the common rolls.
In this case, therefore, the draft of the metallic rolls would
have to be figured in the ordinary way, as for common rolls,
and an addition of 33^% minus 25% equaUng 8i%, made to
the calculated draft so as to equal the actual draft in the case
of the metallic rolls.
In cases where the sliver is between 45 and 70 gr., in weight,
the draft between 41 and 7, the back and front rolls approxi-
mately of the same size, and flutes with a 32 pitch used, an
allowance of 9% over and above the draft as calculated with
common rolls is frequently made, in order to arrive at the actual
draft in case of metallic rolls.
From the preceding statements it will be seen that this
allowance cannot be arbitrary. The allowance should be
increased in case of running very light slivers, in case of rolls
being used of coarser pitch than 32, in case of there being a
heavy draft in the machines, or where the front rolls are very
much larger than the back rolls. The allowance is materially
reduced in case of a heavy sliver being run through the machine,
in case of a light calculated draft, or in case of the back rolls
being larger than the front rolls.
The numerous causes of variation in the allowances render
it almost impossible to accurately figure drafts for metallic
rolls, and in making changes in machines fitted with metallic
rolls or in starting up such machines, it is necessary to experi-
ment somev/hat with different gears to arrive at the desired
result; but when this result is once obtained, and so long as the
conditions remain the same, the results from metallic rolls are
just as regular as from common rolls. The accompanying
table gives the allowances that should be made, under various
conditions, on the calculated draft for common rolls in order to
ascertain what the draft would be if metallic rolls of the same
diarneter were used and assuming that the front and back roUs
do not vary greatly in diameter.
The table must not be taken as arbitrary, for slight variations
from this must be expected in practice. Drafts from 5 to 8
may be considered medium drafts.
86" DRAFT CALCULATIONS
INCREASE IN DRAFT OF METALLIC ROLLS
Weight of Gliver
Light
Draft
Per Cent.
Medium
Draft
Per Cent.
Heavy
Draft
Per Cent.
50-grain
60-grain
70-grain
80-grain
90-grain
100-grain
llO-grain
120-grain
130-grain
140-grain
150-grain
sliver
sliver
sliver
sliver
sliver
sliver
sliver
sliver
sliver
sliver
sliver
7
6
5
4
3^
3
3
2-1
21
2
10
9
8
7
6
5^
5
4
31
3
12
11
10
9
8
7
7
6
51
5
4
DRAFT GEARS
In each principal train of gears connecting draft rolls, one
gear is always spoken of as the change gear or draft gear, and
this is the one that is usually changed for altering the draft of
the machine. The draft gear, as shown at g, Figs. 1 and 3, is
usually situated on a stud together with another gear /, which
is known as the crown gear in order to distinguish it from the
draft gear.
Any change in the draft gear alters the speed of the feed-
rolls, but the speed of the front rolls remains constant. Usually,
a larger draft gear will increase the speed of the feed-rolls, thus
producing less draft, because more cotton is being fed and there
has been no change in the length of the amount delivered. A
smaller gear will produce more draft.
It should also be noted that a change in the draft gear g,
Pig. 3, makes no difference in the ratio of speed between the
first and second rolls or between the third and fourth rolls, but
it does between the first and fourth and between the second
and third rolls. This is also true in regard to Fig. 4; that is
any change in the draft change gear g will only change the draft
between the sets of rolls where the break draft is located and
between the front and back rolls.
DRAFT CALCULATIONS 87
The following rules apply to drafts and draft gears when the
draft gear is a driver, assuming that the gear on the front roll
is a driver.
The draft gear required to give a certain draft when the
draft gear being used and the draft being produced axe known
may be found by the following rule:
Rule. — Multiply the draft gear being used by the draft being
produced and divide the product by the draft desired.
Example. — Referring to Fig. 3, a draft gear of 65 teeth pro-
duces a draft of 5.86. What draft gear will be reqviired to pro-
duce a draft of 7?
Solution. —
65X5.86
= 54.41, a 54 draft gear
7
The draft a certain draft gear will produce when the draft
gear being used and the draft being produced are known, may
be found by the following rule:
Rule. — Multiply the draft gear being used by the draft being
produced and divide the product by the draft gear to be used.
Example. — Referring to Fig. 3, a draft gear of 65 teeth pro-
duces a draft of 5.86. What draft will a 54 draft gear produce?
65X5.86
Solution. — =7.053, draft
54 i-
The following rules apply to drafts and draft gears when the
draft gear is a driven, and for the purpose of illustration the
gear /, Fig. 3, which is a driven gear, will be considered as the
draft change gear.
The draft gear required to give a certain draft when the draft
gear being used and the draft being produced are known, may
be found by the following rule:
Rule. — Multiply the draft gear being used by the draft to be
produced and divide the product thus obtained by the draft being
produced.
Example. — Refenring to Fig. 3, a draft of 5.86 is being pro-
duced with a 98-tooth draft gear. What draft gear will be
required to give a draft of 7?
98X7
Solution. =117.06, a 117 draft gear
5.86
88 DRAFT CALCULATIONS
The draft a certain gear will give when the draft gear being
used and the draft that it is producing are known, may be
found by the following rule:
Rule. — Multiply the draft that is being produced by the draft
gear that is to be used and divide the product thus obtained by the
draft gear being used.
Example. — Referring to Fig. 3, a draft of 5.86 is being pro-
duced with a 98 draft gear. What draft will be produced with a
117 draft gear?
5.S6X117
Solution. — = 6.996, draft
98
CONSTANTS
Constants are almost always used to shorten calculations
for draft. There are two kinds of constants used in these prob-
lems; namely, constant dividends and constant factors. A
constant dividend is a number which, when divided by the draft,
will give the necessary draft gear; or it may be defined as a
number which, v>rhen divided by the draft gear being used on a
machine, will give the draft that the machine is producing.
A constant factor- is a nvunber which, when divided into the
draft, will give the draft gear necessary to produce the desired
draft; or it may be defined as a number which, when multiplied
by the draft gear being used on a machine, will give the draft
that the machine is producing.
Each different make of machine and each different kind of
machine has a different constant.
Assuming that the gear on the front roll is a driver, the
following statements may be made:
When the draft gear is a driver, the constant is always a
constant dividend.
When the draft gear is a driven, the constant is always a
constant factor.
The draft constant of a machine may be found by the follow-
ing rule:
Rule. — Perform the calculations exactly the same as when
finding the draft, always considering the draft gear as a 1-tooth
gear, or omitting it from the calculation.
DRAFT CALCULATIONS 89
Example. — What is the constant dividend of the rolls
shown in Fig. 3?
Solution. —
11X98X70
=381, constant dividend
22X1X9
The draft when the constant dividend and draft gear are
known may be found by the following rule:
Rule. — Divide the constant dividend by the draft gear.
Example. — ^What is the total draft for Fig. 3 with a 65 draft
gear at g, if the constant dividend is 381?
Solution. — 381 -^ 65 = 5.86, draft
The draft gear when the constant dividend and draft are
known may be found by the following rule:
Rule. — Divide the constant dividend by the draft desired.
Example. — What draft gear will be required to produce a
draft of 5.86 if the constant dividend is 381?
Solution. — 381 -v- 5.86 = 65-tooth draft gear
Example. — Figure the constant for Fig. 3, using the same
train of gears as in the previous examples but considering the
gear / as the draft change gear.
Solution. —
11X1X70
= .0598, constant factor
22X65X9
The draft when the constant factor and draft gear are known
may be found by the following rule:
Rule. — Multiply the constant factor by the draft gear.
Example. — What is the total draft for Fig. 3, considering
/ as the draft gear, if the constant factor is .0598, a 98-tooth
gear being used at /?
Solution. — .0598X98 = 5.86, draft
The draft gear when the constant factor and draft are known
may be found by the following rule:
Rule. — Divide the draft by the constant factor.
Example. — ^What draft gear will be required at /, Fig. 3, to
produce a draft of 5.86 if the constant factor with / considered
as the change gear is .0598?
Solution. —
5.86-5- .0598=97.99, a 9S-tooth draft gear
90 DRAFT CALCULATIONS
From the examples given it will be noticed that a solution
does not always give an exact number of teeth for the change
gear. In such cases the nearest number is used. For example,
if the solution of a draft calculation should show that a 64.84
draft gear is required, then a 65 gear would be placed on the
machine, and even if the calculation should show that a 64.52
draft gear is required, a 65 gear would be used, except in cases
where extreme accuracy is desired. Under these circtimstances
either the back-roll gear or the crown gear would be changed.
When the crown or the back-roll gear is changed, it is generally
considered rhat one tooth in the draft gear is equal to two teeth
in the crown, or the back-roll gear. This allowance is near
enough for practical purposes and is the basis generally adopted
in the mill. For example, a draft gear figures 42^ with a 60
back-roll gear. A 42| draft gear cannot be used, so a 42 draft
gear and a 59 back-roll gear, or a 43 draft and a 61 back-roll
gear would probably be used.
DOUBLING
When calculating the effect of draft on the weight of the
sliver or roving, deHvered from a machine, it is always neces-
sary to take into consideration the number of ends that are
to be drawn into one. For example, six ends of roving are
run into one in a certain machine that has a draft of 6; conse-
quently, each end of roving must be drawn out to one-sixth
its former weight; but since there are six ends running into
one, then the weight per yard of the sliver delivered will be
the same as the weight per yard of a single sliver put up at
the back. Therefore, if six slivers, each weighing 65 gr. to
the yard, are run through a machine having a draft of 6, the
sliver that comes out at the front will have the same weight;
that is, 65 gr. Hence, when figuring the weight of product
in connection with the draft of a machine, it is always neces-
sary to take into consideration the number of ends that are
placed at the back and run into a single end at the front.
The weight of a sliver or roving produced by a machine
when the draft of the machine and the number and weight of
DRAFT CALCULATIONS 91
the ends put up at the back are known may be found by the
following rule:
Rule. — Multiply the weight per yard of the roving or sliver
at the back by the number of ends run into one at the back and
divide this product by the draft of the machine.
The draft of a machine when the number of ends at the back,
the weight of the sliver at the back, and the weight of the sHver
delivered are known may be found by the following nile:
Rule. — Multiply the weight per yard of the sliver at the back
by the number of ends run into one at the back and divide this
product by the weight per yard of the sliver delivered at the front.
The following rules will be found to apply to draft calcula-
tions when the weight of the sUver or roving is expressed in
hanks.
The hank of a roving made by a machine when the draft
of the machine and the number and hank of the ends put up
at the back are known may be found by the following rule:
Rule. — Multiply the hank of the roving at the back by the
draft of the machine and divide this product by the number of
ends put up at the back.
The draft of a machine when the number of ends at the back,
the hank of the roving at the back, and the hank of the roving
delivered are known may be fotmd by the following rule:
Rule. — Multiply the hank of the roving delivered by the number
of ends put up at the back and divide by the hank of the roving
used at the back.
52 COTTON-YARN PREPARATION
COTTON-YARN PREPARATION
COTTON
Cotton is a vegetable fiber belonging to the order of the Mal-
vaceae and to the genus Gossypium. The principal species
cultivated for commercial purposes are: Gossypium herbaceum,
Gossypium arboreum, Gossypium hirsutum, and Gossypium
Barbadense.
Gossypium herbaceum grows from 2 to 6 ft. high and is found
native or exotic in Northern Africa and in Asia; it is also largely
cultivated in the United States of America.
Gossypium arboreum grows to the height of 15 or 20 ft.,
whence it derives the name of tree cotton. Although the
plant is found in Asia, it is most largely cultivated in Central
and South America.
Gossypium hirsutum is a shrubby plant, its maximimi height
being about 6 ft. The young pods are hairy; the seeds are
numerous, free, and covered with firmly adhering green down
under the long white wool.
Gossypium Barbadense attains a height of from 5 to 10 ft.
The seeds of this plant are black and smooth and the fiber the
longest known to commerce. The sea-island cotton plant of
the United States belongs to this species.
STRUCTURE OF COTTON FIBER
Cotton fiber, which to the naked eye appears to be a fine,
smooth, and solid filament, exhibits a somewhat complicated
structure when magnified. A inicroscopic view of _ cotton
fibers is shown in the accompanying illustration. Each fiber
appears to be a collapsed tube with corded edges, twisted
many times throughout its length. This semispiral construc-
tion assists in the formation of a strong yam, since in the for-
mation of the thread, the convolutions interlock with one
another. These convolutions are less and less frequent as
the fiber is less matured, and are almost altogether absent in
the immature fiber, which has merely the appearance of a
COTTON-YARN PREPARATION
flattened ribbon when examined under a microscope. The
immature fiber is transparent and has a glossy appearance,
so that when it exists in any
quantity in a bale of cotton it
can readily be detected with
the naked eye.
Ignoring the removable for-
eign matter contained in raw
cotton, such as sand and other
mineral substances, leaf, and
pieces of boll, or stalk, it is
found to be composed of from
87 to 90% of cellulose, perme-
ated by about 1% or less of
mineral matter, and that each fiber is surrounded by soluble
substances of a waxy or oily nature present to the extent of
from 1 to 2%. Cellulose absorbs and retains moisture, the
cellulose in the cotton fiber, when in an air-dry condition,
containing about 7|%.
The quantity of removable foreign matter in cotton varies
greatly ^N-ith the variety, and even in different growths of the
same variety. It is present to the extent of from 1% in care-
fully-cultivated sea-island to 6%, or more, in coarse, negli-
gently-cultivated East Indian cotton.
Measurements of Cotton Fiber. — Cotton fibers even from
the same seed vary considerably in length and in diameter,
and only approximate measurements can be given. The
diameter of a cotton fiber varies from .0004 to .001 in., and
the length of the fiber from | in. to 21 in. Doctor Bowman is
the authority for stating that there are 140,000,000 fibers in
a pound.
The strength of Individual cotton fibers varies from 75
to 300 gr. Usually the long-stapled, fine cottons break
with the least strain, and the short coarse cottons stand
the greatest strain. The ordinary American cottons have
a breaking strain of from 120 to 140 gr. The specific
gravity of air-dry cotton is about 1.5.
54 COTTON-YARN PREPARATION
SEA-ISLAND COTTON
Sea-island cotton is grown on islands off the coast of the
Southern States, and is recognized as being the best cotton
grown. It has a long, fine, strong and silky fiber with com-
I)aratively regular convolutions, a diameter of from .0004 to
.0006 in., and ranges in length from If to 2 J in.
Sea-island cotton is largely used for fine fabrics and for
thread and lace-making purposes. It is regularly spun into
from 150s to 400s yam, and occasionally, even for commercial
purposes, as high as 600s. Where great strength is required
for heavy goods, sea- island cotton is sometimes used, even
for coarse yarns; as, for example, the fabrics for tires, sail
cloth, and so on.
The vrariety of so-called Florida sea-island cotton is grown
on the mainland of Florida from sea-island seed; this is some-
what inferior to the sea-island proper, but is a very useful
cotton for making yams of a little better quality than those
made from Egyptian cotton. It has a white, glossy, strong fiber,
a little coarser than the strictly sea-island. It is suitable for
yams from 150s to 200s.
AMERICAN COTTON
Although the sea-island cottons just described are American,
this name is seldom applied to them, but is used to indicate
the typical cotton of the world, which is grown in the Southern
States of the United States and used wherever cotton-spinning
mills exist. The cotton described commercially as American
is sioited to medium numbers of yam; is usually clean, fairly
regular in length of staple, satisfactorily graded, and conse-
quently is one of the most reliable and useful cottons for a
manufacturer's use. The quantity is greater than that collect-
ively produced in all other parts of the world. American
cotton may be divided into three important classes; namely,
gulf cotton; uplands, or boweds; and Texas cotton.
Gulf, or New Orleans, cotton usually consists of cotton raised
in the basin of the Mississippi River. Gulf cotton is from 1 in.
to 1 J in. in length of staple, from .0004 to .0007 in. in diameter,
and is generally used for yarn from 28s to 44s warp and from
50s to 70s filling or ply. This kind of cotton may be subdivided
COTTON-YARN PREPARATION 93
into others, known as Memphis, benders, Allan-seed, Peelers,
and so on. The best qualities of gulf cotton are known as
Allan-seed and Peelers. These are used for fine yarns, often
for fine combed yams, and by some spinners preferred to Egyp-
tian. The color is bluish white rather than cream-colored, and
somewhat resembles short Florida sea-island.
Uplands cotton is grown in the undulating country between
the ocean and the mountains in the states of Georgia, North
Carolina, South Carolina, Virginia, and Alabama. It is gen-
erally used for filling yams below 40s, although it may be spun
higher if required. The length of the staple is from | to 1 in.
and the fiber is from .0006 to .0007 in. in diameter. This cotton
is usually very clean.
The cultivation of Texas cotton is largely on the increase,
and for coarse warp yam it is the most suitable cotton. In
dry seasons it is apt to be somewhat harsh and brittle and
cannot be relied on as much as gulf or uplands cotton. The
staple is usually from | to 1 in. in length (sometimes exceeding
this), and from .0005 to .0007 in. in diameter. Up to 26s
and 32s warp yams and 32s and 40s filling yams are often
made from Texas cotton, although it is eminently useful for
warp, Oklahoma cotton is of the Texas style.
BROWN EGYPTIAN COXTON
The cotton used in American mills is largely grown in
the United States, but in the fine-spinning districts a quan-
tity of brown Egyptian cotton is used. The brown Egyp-
tian cotton is generally used for warp yarns from 50s up-
wards, and for filling yarns from 60s upwards intended
for use in fine-woven cotton goods. Some of this cotton is
also used for hosiery yarns and for the manufacture of
Balbriggan underwear; in this case it is spun into lower
numbers than those just mentioned.
Almost all the Egyptian cotton used in the United States
is combed. The features of brown Egyptian cotton are
the length of staple and fineness of the fiber, it being
very silky and delicate in 'structure.
96
COTTON-YARN PREPARATION
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98 COTTON-YARN PREPARATION
CLASSIFICATION OF COTTON
Cotton is seldom, if ever, purchased from the examination
of the bale, but from parcels containing small samples of cotton
from each bale, technically known as papers of samples. In
judging cotton from a sample, the first thing to do is to investi-
gate the authenticity of the sample. The points then deter-
GRADES OF AMERICAN COTTON
Full Grades
Half Grades
Quarter Grades
Fair
Middling fair
Good middling
Middling
Low middling
Good ordinary
Ordinary
Strict middling fair
Strict good middling
Strict middling
Strict low middling
Strict good ordinary
Strict ordinary
Low ordinary
Barely fair
Fully middling fair
Barely middling fair
Fully good middling
Barely good middling
Fully middling
Barely middling
Fully low middling
Barely low middling
Fully good ordinary
Barely good ordinary
Inferior
mined are: (1) the grade of the sample, (2) the staple, (3) the
color, (4) the quantity of sand, (5) the amount of dampness,
and (6) whether the cotton is even-running or not.
American cotton is usually graded according to a standard
agreed on in all the leading cotton markets of the world, the
highest grade being fair, followed by six other grades, the lowest
COTTON-YARN PREPARATION 99
being ordinary; cotton of lower grade is called inferior.
The seven full grades of American cotton are fair,
middling fair, good middling, middling, low middling,
good ordinary, and ordinary.
This gradation is not sufficiently fine for the cotton
merchant, and consequently each grade is subdivided into
what are known as half grades and quarter grades as
shown in the accompanying table.
Government Cotton Classification.— In 1910, and sub-
sequently, the United States, through the Department of
Agriculture and the Bureau of Plant Industry, promul-
gated a new system of cotton classification. The inten-
tion was to make the grading of cotton a more exact
science and to insure that the cotton grower, the mills
consuming cotton, and all other parties concerned in
trading in cotton, performed their transactions on a more
definite basis as to the grade of cotton dealt with in any
particular case. It was believed that the various grades
of American cotton could be fully classified by a list of
nine grades, and the following grades, therefore, were
established: Middling fair, strict good middling, good
middling, strict middling, middling, strict low middling,
low middling, strict good ordinary, good ordinary.
Official standards for these grades were established and
a number of sets of cotton samples showing the standard
grades were prepared. Some of these standard sets were
placed in vacuum storage in vaults so that the standards
might not be deteriorated by exposure to air, light, heat,
etc. Other sets were prepared for practical use and for
distribution.
The United States Government standard cotton classi-
fication has been adopted by the cotton exchanges in
various American cities, but is not recognized in Eng-
land, Continental European countries, or in any other
foreign countries, with the single exception of the rather
unimportant Rotterdam cotton exchange at Rotterdam,
Holland. Also, with comparatively few exceptions,
domestic mills use the old system of classifying cotton in
26 grades in the buying of actual cotton for manufac-
100 COTTON-YARN PREPARATION
turing purposes. Thus, the Government system is em-
ployed only for the classification of the very small
amounts of actual cotton carried by domestic exchanges,
tenderable in settlement of contracts, and in the com-
paratively few cases where disputes as to grade exist and
arbitration by the Secretary of Agriculture is involved.
Classifying Cotton.— Grade actually refers to the con-
dition of the cotton as regards cleanliness, that is, the
appearance of the cotton as to its freedom from leaf and
other impurities. Some graders take into consideration
what is known as bloom, or brightness, of the cotton,
which adds to the grade; also discoloration, known as off
color, or tinges, which detracts from the grade.
The word staple usually means the average length of
the bulk of the fibers forming the bale assessed, and is
found by taking a small portion of cotton, preparing a
tuft of fibers from which the very short fibers have been
removed, and then measuring the average length of fibers
remaining. Cotton is spoken of by the length of staple;
thus, 1-in. cotton, l|-in. cotton, and so on. There is
something more that is usually implied by the word staple
— strength of the fiber. This is determined by holding
one end of the tuft between the first finger and thumb of
each hand and breaking it. The word staple may there-
fore be taken to mean the average length of the fibers
forming the bale, and may also be understood to include
the strength of the fibers; thus the expressions length of
staple and strength of staple are obtained.
The rich, bright, creamy appearance of cotton, especially
in the early part of the year, is called the bloom. This
bloom is only found on certain growths of cotton and
adds somewhat to its value, especially where it is to be
used for making weft, or filling, yarn, or where the goods
are to be sold in their unbleached or undyed state.
Tinges, high color, or off color, should be looked for.
These are caused where the cotton has become tinged
while on the plant, through rain stains, or by having
fallen on the ground and become mixed with some of the
red clay of the cotton field.
COTTON-YARN PREPARATION 101
It is necessary to determine the quantity of sand and
dirt in the cotton. This is often done by raising the
cotton from the paper that holds it and noticing the
quantity of sand remaining on the paper, this sand having
fallen out by the repeated handling of the cotton. It is,
perhaps, better to hold the handful of cotton as high as
one's head and shake it so that the sand, if there is any,
can be seen to fall from it.
Another test is that for dampness. This can only be
detected in the sample paper if the samples are newly
drawn, in which case it can be felt by the hand. If the
samples have been in stock for some time, the water
originally contained in them will have evaporated and
cannot be ascertained unless it has previously been so
great as to cause a slight formation of mildew on the
cotton, in which case it is indicated by the smell.
The last point, and one that is important, is to see that
all bales are somewhat alike. Usually a sample paper is
made up of a handful of cotton from each of the lot of
bales; by testing first one sample and then another it is
determined whether the lot of cotton is even running.
Occasionally, however, if not graded properly a lot of
cotton is found to be mixed; some bales may be higher
grade than others, some may be longer-stapled than others, .
and even in the same bale an abnormal variation in
length and strength of staple may be found. Cotton of
this kind should be avoided altogether, as it is almost
impossible to make satisfactory yarn from such cotton.
World's Production of Cotton. — The world's production
of cotton varies in different years, the variation being
mainly caused by fluctuations in the crop of the United
States, which produces about two-thirds of all the cotton
used in the mills of the world. The total production is
usually not far from 19,000,000 bales of 500 lb. each,
British India produces about 15 per cent, of the total and
Egypt about 7 per cent, or a little less. Other countries
in comparison produce minor crops. Favorable or un-
favorable growing seasons have a marked effect on the
world's production of cotton in any specific year.
102 COTTON-YARN PREPARATION
PROCESSES AND OBJECTS
In order to produce cotton yain, the fiber is passed through
a number of processes, varying from ten in a mill manufactur-
ing coarse yams to fifteen in one making fine yams. These
processes may be divided into three classes as folio «vs: (1) mix-
ing; (2) cleaning; (3) parallelizing and attenuating.
No arbitrary method can be given for distinguishing between
coarse, medium, and fine cotton yams, but a general classifica-
tion is to consider yams below 30s as coarse; from 30s to 60s
as medium numbers; and above 60s as fine yams. The pro-
cesses in mills vary according to whether coarse, medium, or
fine yarns are made. A mill making medium yams, for instance
about 32s, •x'.'^ould in most cases use the following machines:
automatic feeder, opener, breaker picker, intermediate picker,
finisher picker, card, first drawing, second drawing, third
drawing, slubber, intermediate, roving frame, spinning frame.
In cases where the railway head is used, it comes between
the card and the first drawing; in this case the third drawing
is omitted. Where the bale breaker is used, it takes a position
before the automatic feeder. Where the mule is used, it takes
the place of the spinning frame.
The machinery for mills making 10s and below is as follows:
automatic feeder, opener, breaker picker, intermediate picker,
finisher picker, card, first drawing, second drawing, slubber,
roving frame, spinning frame. The railway head may be used
instead of the first drawing process.
The machinery used in mills making about 100s is as follows:
automatic feeder, opener, breaker picker, finisher picker, card,
sliver-lap machine, ribbon-lap machine, comber, first drawing,
second drawing, third drawing, fourth drawing (optional),
slubber, first intermediate, second intermediate, roving frame,
mule. Sometimes a drawing process is used between the card
and the sliver-lap machine. Where four processes of drawing
are used, the roving frame is not necessary, and where four
processes of fly frames (slubber, first intermediate, second
intermediate, and roving frame) are used, it is not always
necessary to have more than three processes of drawing,
although four may be used if required.
COTTON-YARN PREPARATION 103
The machinery used in yarn mills for making 200s is as
follows: automatic feeder, opener, breaker picker, card, sliver-
lap machine, ribbon-lap machine, comber, first drav«ring, sec-
ond drawing, third drawing, fourth drawing, slubber, first
interraediate, second intermediate, roving frame, mule.
Although the foregoing combinations may be considered
as the standards for the class of work to which they refer, it
occasionally happens that mills are found using different lay-
outs. This may be because the mill is intended to make a
lower or a higher grade of yarn than is customary for the
numbers referred to, or because it is a mill that has been changed
over from other numbers and ,the old machinery has been
retained; or there may be many other reasons.
The objects of all cotton-yam-preparation machines are:
(1) the separation of the matted mass of fiber into loose flakes
and the removal of the heavier and more bulky impurities,
which objects are principally attained in the opening and pick-
ing processes; (2) the further cleansing of the stock from light
and minute particles of foreign matter by such means as are
adopted in the carding and combing processes; (3) the parallel-
i2ing, evening, and attenuation of the fibers, as perform.ed in
the carding and drawing processes, in the fly frames, and in
the spinning process; (4) the strengthening of the product by
twisting, as exemplified in ring or mule spinning.
(^ COTTON MIXING
The objects of mixing the cotton from a number of bales are:
(1) to allow the cotton to assume its normal condition; (2) to
establish an average quality of grade in the lot.
The quantity of cotton tised in a mixing should be as large
as possible; for the larger the mixing, the easier it is to keep
the work uniform for a considerable length of time. In addition
to securing regularity, another reason for having large mixings
is to give cotton from compressed bales an opportunity to
expand.
Mixings when made by hand should occupy a considerable
amount of floor space. The first bale should be spread all
104
COTTON-YARN PREPARATION
over this space, the second bale spread to cover the first, the
third to cover the second, and so on. When a mixing is
used, the cotton should be pulled away in small sections from
the top to the bottom of the mixing so as to obtain portions
of each. bale.
It is a good plan when using bales of difEerent marks, to
arrange the mixing so that no two bales of the same mark
shall come in contact with each other. The following rule is
used to find the number of sections that should be made in
order to obtain the correct proportion of each mark in a
section.
Rule. — To find the number of sections of which a mixing
should consist, find the largest number that will exactly divide the
number of bales of each mark. Then, to find the number of bales
of each mark that there should be in each section, divide the num-
ber of bales of each mark by the number of sections in the mixing.
Example. — Find a suitable order for mixing 100 bales, the
mixing to consist of 40 bales marked ABC; 20, G H I; 10, J
K L; and 30, D E F.
Solution. — 10 is the largest number that will exactly
divide 40, 20, 10, and 30; therefore, the mixing should be made
lip of 10 sections, and in order to prevent any two bales of the
same mark coming in contact with each other, they could be
arranged as follows:
GHI
DEF
ABC
JKL
DEF
AB C
GHI
ABC
DEF
AB C
If it is desired to mix exact proportions of different varieties
of cotton, as American with Egyptian, or where dyed stock of
one color, or more, is to be blended with white, the cotton may
be blended to better advantage at some of the subsequent
processes.
* 10 times.
COTTON-YARN PREPARATION 105
American cotton sometimes is mixed with Egyptian in order
to cheapen the mixture. Brazilian cotton is sometimes mixed
with American in order to increase the strength of the yam;
and rough Peruvian cotton is occasionally mixed with Egyp-
tian in order to give the latter woolly qualities.
Although cotton is often mixed in this way, there is a cer-
tain limit to the mixing of harsh and soft cottons; nor is it
practical to mix long- and short-stapled cotton, as the machines
of the later processes, if set for one length of staple, will either
damage cotton of a different length or cause an imperfect
prod act.
A machine known as a bale breaker is sometimes used in
mixing cotton. Its object is to separate the matted masses
of cotton and to deliver it in an open state to the mixing bins.
The principle employed in the bale breaker is to have three or
four pairs of rolls, each pair revolving at a higher rate of speed
than the preceding pair. The cotton fed to the pair that is
revolving at a slow speed is pulled apart when it comes under
the action of the pair revolving at a faster speed. The cir-
cumferential velocity of the second pair is about twice that of
the first pair, that of the third pair is about four times that
of the second, and that of the last pair is about five times that
of the third. The first set of rolls usually makes between
5 and 6 rev. per min.
The space between the different sets of rolls will be found
to vary, but usually from the center of one pair to the center
of the next is about 9 in.
These rolls vary in construction, in some cases being solid
with flutes their whole length, and in other cases are made
of rings having projecting spikes.
The cotton should not be fed in too thick layers, since this
is liable to strain the rolls; all the dirt from underneath the
machine, which consists chiefly of sand and other foreign sub-
stances, should be removed periodically; and the machine
should be properly oiled.
106
COTTON-YARN PREPARATION
AUTOMATIC FEEDER
The automatic feeder is the first machine that receives the
cotton after it has been mixed, and is used for the purpose of
aiitomatically supplying or feeding the opener or the breaker
picker.
The accompanying illustration shows a section of an auto-
matic feeder. The cotton is placed in the hopper a, which
should be kept at least half full. The bottom apron ci tends
to carry the whole mass toward the lifting apron 02. The
spikes in, the lifting apron fill with fiber and often retain com-
paratively large bunches of stock. After filling, they continue
to move tipwards, and the tendency for so large a number of
points acting on the mass of cotton is to impart a rolling
motion to it. The stripping roll b acts continuously on the
cotton carried by the lifting apron. The surface of this roll,
moving in the opposite direction from the lifting apron and
only about 1 in. from the point of the spikes, strikes oflE the
COTTON-YARN PREPARATION 107
excess cotton. The cotton remaining on the Hfting apron is
the quantity necessary to supply the machine to which the
feeder is attached, and must be removed from the pins carry-
ing it. This is done by the doffer beater c, the surface of
which moves in the same direction as the part of the apron
nearest to it, but at a greater speed. The fibers removed
from the Hfting apron are in small tufts, and a certain quan-
tity of sand, etc., is thrown out by the centrifugal force of
the doffer beater or drops by its own weight. This passes
through the bars of the grating d into the chamber n. The
cotton passes forwards and tlirough the passage e.
The capacity of automatic feeders is very great, but since
the amount of v/ork they do is governed entirely by the require-
ments of the machine they feed, they are rarely run at their
full capacity. Usually about 3,000 lb. in 10 hr. is the maximum
run through a feeder.
The feeder requires from 1§ to 2 H. P. and occupies a floor
space of about 6 ft. 4 in. by 6 ft. 6 in.
OPENER
The opener is not used in all mills, as the automatic feeder is
often connected directly to the breaker picker. The opener
has for its objects the cleaning of the heavy impurities from
the cotton and the separating of the cotton into small tufts
that are light enough in weight to be influenced by an air-
current generated by a fan in the succeeding machine. It
attains these objects by presenting a fringe of cotton to a beater
that makes from 1,200 to 1,800 rev. per min. This beater
usually has two blades, and consequently for every revolution
delivers two blows to the fringe of cotton. By this means any
foreign substance will be struck from the fringe of cotton as
it is held by the feed-rolls, and knocked through grid bars.
The tufts of cotton will also be removed from the fringe as
soon as they are released from the bite of the feed-rolls, and
thus they will be sufficiently light to be acted on by the air-
current that conveys the cotton to the next machine.
108
CO T TON- YA RN PREP A RA TION
BREAKER PICKER
. The breaker picker is the first machine that deals with the
cotton after it leaves the opener. This machine may receive
the cotton either directly from an automatic feeder or from
an opener through a trunk. The objects of the breaker picker
are: (1) To remove foreign matter, especially the heavier and
larger impurities, such as dirt, pieces of seed, leaf, etc.; (2) to
separate the tufts of cotton so that they may be more easily
manipulated at the next process; (3) to form the cotton into a
layer and wind it on a roll in a cylindrical form known as a
lap.
The method used to attain these objects is to have a rapidly
revolving beater strike a fringe of cotton, which is presented
to it by a slowly revolving pair of feed-rolls. The process of
COTTON-YARN PREPARATION 109
cleaning is also aided by an air-current, which draws dust from
the cotton.
Pickers are known as pickers in single section or pickers in
double section, according to whether they give the cotton a
single or a double beating action.
The manner of feeding the picker by means of a condenser
and gauge box, when the cotton is conveyed through a trunk,
is shown in the accompanying illustration. The air-current that
draws the cotton from the opener through the trunk a is
generated by a fan b. After leaving the trunk, the cotton
first comes in contact with a c^'linder of wire netting known as
a cage, shown at c. About two-thirds of the inner circumfer-
ence of this cage is protected by a cradle d of sheet metal, which
prevents the cotton from being drawn to this protected part
of the cage, the air-current passing out through the ends of
the cage and down the passage bi. The cradle d remains sta-
tionary, but the cage c revolves in the direction shown by the
arrow, and thus the cotton, which is drawn to that part of the
cage that is not protected by the cradle, is brought around
until it comes under the action of the stripping rolls /, g, which
remove it from the cage. The cotton then drops into the
gauge box j and on to the apron k, from which it is removed
by the feed-rolls I, h, of the breaker picker.
The passage of cotton through breaker pickers in single
section, whether they are fed by a condenser and gauge box or
by a cage section, is the same.
After the cotton delivered by the feed-rolls I, h has been
struck by the rapidly revolving beater ai, it passes over grid
bars ci in order that any dirt or other foreign matter may be
separated and fall through the spaces between the bars. Then
it is carried over inclined cleaning, or grate, bars / so that other
foreign matter, too heavy to be carried by the air-current,
may have an opportunity of dropping through the spaces
between the bars. This cleaning process is continued while
the cotton collects in a layer on the surface of two revolving
cages or screens, e, ei, through which a current of air is drawn
by a revolving fan k. The cotton, now in the form of a sheet or
layer, is removed by stripping rolls p and allowed to pass over
a stripping plate r, between smooth calender, or presser, rolls
110 COTTON-YARN PREPARATION
s, si, 52, 53, bet-ween rolls Si and t, and round the lap roll v that
rests on the fluted calender rolls t, h, thus forming the lap x.
The draft of a breaker picker is usually a little less than 2,
and is figured from the fluted calender rolls to the feed-rolls.
The floor space of a breaker varies according to the style
and make of the machine. One type of a single-beater breaker
with a cage section occupies a floor space of 13 ft. 9 in. by
6 ft. 8 J in., allowing for trunk connections. A double-beater
machine, other particulars as above, occupies 19 ft. 10 in. by
(■) ft. 8| in. Where a condenser and gauge box are used
instead of a cage section, from 7 to 9 in. may be deducted
from the length given above. These measurements are for
pickers that make laps 40 in. wide.
When in single section, breaker pickers require about 4|
H. P.; when in double section, about 7 H. P.
The production depends on the speed, width of lap, and
weight of lap per yard. A common production is about 500 lb.
per hour, or 25,000 lb. for a week of 50 hr. actual running time.
INTERMEDIATE AND FINISHER PICKERS
Intermediate and finisher pickers are practically alike in
construction and differ very little from a breaker picker in
single section. Their objects are the same as those of the
breaker picker; the lap that they produce, however, is of a
more uniform weight per yard.
Four laps taken from the previous picker are placed on the
feed apron and thus the advantage gained by doubling is
secured.
EVENER MOTION
After it is delivered by the feed-rolls, the cotton is treated
in the same manner as in the breaker picker, but the manner
in which it is fed into the intermediate and the finisher picker
is somewhat different from that in a breaker picker, on account
of the evener motion, the object of which is to regulate the speed
of the feed-roll in accordance with the weight of cotton fed so
that a uniform weight will be presented to the beater.
CO TTON- YARN PREPARA TION
111
Fig. 1 IS a complete view of all the attachments of an evener
motion. The manner in which this evener regulates the speed
of the feed-roll in accordance with the weight of cotton fed
is as follows: The sectional plates d are pressed down on the
roll c by the weight fi, shown on the lever /, through the con-
nection made by ei and the saddles. The distance that these
plates are raised from the roll c is governed by the quantity cf
cotton that passes between them and the roll; and the distance
these plates are raised will govern the position of the belt on
Fig. 1
the cones, and, consequently, the speed of the roll c that feeds
the cotton.
When the proper weight of cotton is being fed uniformly
throughout the length of the feed-roll c, the plates are raised
the same distance from the roll c and the belt should be exactly
in the center of the cones. If, however, a portion of cotton
1 in. thicker than the average thickness comes under the section
plate at the extreme left, this section plate will be raised 1 in.
from its normal position. The result of this will be that the
end of the lever ei resting on this plate will be raised 1 in..
112 COTTON-YARN PREPARATION
which in turn will raise the end of the lever €2 connected to
ei J in. The end of the lever es that is connected to this lever ea
will therefore be raised I in., which, by causing the pin d to
be raised | in., will result in the lever / being raised | in. at
the point /i.
As the lever / cannot rise at /2, its other end must rise and,
through the rod g, turn the shaft gi. The segment h will
therefore be moved, and through the gears hi, ho, and the rack k,
the belt will be guided on to the smaller part of the lower, or
driving, cone, thus decreasing the speed of the feed-roll and
reducing the weight of cotton ted. As soon as this heavier
portion of cotton has passed and the correct weight is fed,
the parts will be brought to their normal positions by means of
the weight on the lever /.
In this illustration, an extreme case has been taken, as it
is seldom that an extra portion of cotton 1 in. thicker than
the average comes under one of the section plates; but the
belt would be moved the same distance if a portion of cotton
I in. thicker than the average should come under all the sec-
tion plates. If four of the plates are raised 5 in. from their
normal position, it will have the same effect as raising each
plate I in. It is therefore obvious that the arrangement is
designed to insure a uniform weight of cotton being fed,
regardless of the number of plates that are affected.
MEASURING MOTION
The measuring motion is used to a greater extent on inter-
mediate and finisher pickers than on breaker pickers. Its
object is, when a definice length has been wound on the lap
roll, automatically to stop the feed-rolls, the smooth calender
rolls, and in some cases the fluted calender rolls, .while the
beater shaft and fans continue to revolve.
A view of a measuring motion is shown in Fig. 2 ; a represents
the end of the bottom calender roll, carrying a worm b, which
through a worm-gear c, a shaft ci, and a bevel gear d, diives a
bevel gear e. The gear e, together with a dog /, is loose on a
stud g and carries a projection ci, the dog / also carrying a
projection /i. The dog, if allowed to do so, would fall because
of its own weight so that its point would be down, but as the
COTTON-YARN PREPARATION
113
gear e receives motion from the bottom calender roll, the pro-
jection ei on the gear e comes in contact with the projection /i
on the dog / and thus continually forces the dog around ahead
of it; consequently, when the projection ei is at its highest
position, the parts mentioned occupy the position shown.
As the gear e continues to revolve, the dog / will be brought
in contact with a projection on a lever h that is connected
to the starting lever hi fulcrumed at hi. Connected to hi is a
rod j, that runs along the side of the picker and connects
with a double worm r. Fig. 3. A bracket k. Fig. 2, is also
attached to the rod h2, and attached to this bracket is a rod ki
'^^
Fig. 2
that connects with the clutch I, Fig. 4, through which the lap
head is driven.
When the picker is running, the cut-out, shown in dotted
lines, in the lever h. Fig. 2, has a bearing on a casting, and
thus the starting lever hi is held in such a position that the
worm r. Fig. 3, is in contact with the worm-gear n the clutch I,
Fig. 4, being closed. When, however, the gear e. Fig. 2, has
made one revolution and has brought the dog / into contact
with the lever h, any further movement causes the dog / to
force the cut-out on h from its bearing. This causes the start-
ing lever hi to drop, disconnecting the clutch I; the worm r
is also thrown out of gear, causing the calender rolls and the
feed-rolls to stop.
114 COTTON-YARN PREPARATION
GEARING
The gearing of a picker equipped with the evener motion
illustrated in Fig. 1, is shown in Fig. 4. The beater shaft m
is driven from a countershaft, and carries the usual pulleys
for driving the fan and feed-rolls.
The feed-pulley mi drives a pulley 7W2 on a shaft n extending
Fig. 3
across the picker. From this shaft, the cones and the feed-rolls,
together with the feed-apron, are driven. As the feed-apron is
driven through the cones, its speed will always be in accord-
ance with that of the feed-rolls. The lap head, cages, and
stripping rolls are driven through a side shaft p, which receives
its motion froxn the shaft n.
COTTON-YARN PREPARATION
2f Omft Genra
lis
Fig. 4
116 COTTON-YARN PREPARATION
The measuring motion is provided with change gears, "by
means of which different lengths of laps can be procured.
When finding the length of lap, the number of revolutions
made by the bottom calender roll while the knock-off gear is
revolving once should first be determined; this result multi-
plied by the circumference of the roll will give the length of
lap. Referring to Fig. 2, the bottom calender roll a is 7 in.
in diameter, 6 is a single worm, and the worm-gear c is the
change gear; the gear d has 21 teeth, and the knock-off gear e
has 30 teeth.
The length of lap delivered when using a 45-tooth change
30X45-
gear is as follows: ■=64.285 revolutions of roll to one
21X1
revolution of gear e. 64.285X7X3.1416 = 1,413.704 in.;
1,413.704 inches -^ 36 = 39.269 yd., length of lap.
This example could also be expressed as follows:
30X45X7X3.1416
— = 39.26 yd.
21X1X36
A constant for the measuring motion may be obtained by
omitting the change gear or considering it a 1-tooth gear.
This constant, multiplied by the nimiber of teeth in any change
gear, will give the length of lap delivered when using that
gear, and consequently the gear for producing a certain length
may be found by dividing the length of lap required by the
constant. The constant is obtained as follows:
30X(1)X 7X3.1416
— ^-^ = .8726, constant
21X1X36
Draft of Intermediate and Finisher Pickers. — The draft
change gears are shown in Fig. 4; there are two change gears
ni, «2. so that if the proper draft cannot be obtained by changing
one gear, the other may be changed. The draft. of an inter-
mediate picker is usually about 4.25 and that of a finisher
picker about 4.50, when there are 4 laps up at the back.
The total draft of the machine shown in Fig. 4, with a gear
of 55 teeth on the lower-cone shaft meshing with a gear of 35
teeth, and with the belt in the center of the cones, is as follows:
9X24X12X17X18X27X55X9X78X24
24X53X96X60X27X35X9X2X12X3
= 4.422, draft
COTTON -YARN PREPARATION 117
CALCULATION OF COLORED MIXES
Colored mixtures of stock are often made by the combination
of laps on the intermediate and finisher pickers. The follov^'ing
method may be used in finding the percentage of any material
or color in the laps from the finisher picker, whatever may be
the weight of the laps fed to either the intermediate or finisher
picker, the colors or materials fed, etc.
Let A =■ sum of the weight per yard of the laps of any one
color, or kind, fed to the intermediate picker;
B = sum of the weight per yard of all of the laps fed to
the intermediate picker;
C = sum of the weight per yard of the "mixture" laps
from the intermediate picker that are fed to the
finisher picker;
D = sum of the weight per yard of the laps of the same
color (as tmder A) that are fed to the finisher
picker;
£ = sum of the weight per yard of all of the laps fed to
the finisher picker ;
F = percentage of any color or stock (as under A and U)
in the laps from the finisher picker.
Then, ^. (AXO + (BXD) ^,p„
Example. — An intermediate picker is fed with two black
laps, each weighing 14 oz. per yard, and also with one white
lap and one red lap, each weighing 13 oz. per yard. The
■ finisher picker is fed with two of the "mixture" laps made by
the intermediate, each weighing 13J oz. per yard, and also
with one white lap weighing 13 oz. per yard and one black lap
weighing 14 oz. per yard. What is-the percentage of each
color in the laps made by the finisher picker?
Solution. — Considering black, the value of A will be 14 oz.
+ 14 oz. = 28 oz.; B will equal 14 oz. + 14 oz. + 13 oz. + 13 oz.,
or 54 oz. ; C will have a value of 13^ oz. + 13| oz. = 27 oz.; D is
valued at 14 oz., and the value of E will be 13^ oz. + 13| oz.
+ 13 oz. + 14 oz. = 54 oz.
118 COTTON -YARN PREPARATION
Then,
-J, (28X27 ) + (54X14) ^^,^^ 1,400 __3^ ....
F = 54^-54 ^ 100 = -^f- = Slff % of black
Taking white into consideration, A will have a value of 13 oz.
and D will equal 13 oz. Other values will be the same as in
the case of black.
Then,
F- »^X^J>+f/X"> X100-f = 36i% of white
Finally, in calculating the percentage of red, A will equal
13 oz. and D will have a value of zero; other values are as in
the previous instances.
Then,
a3X27) + (54X0)^^.- 325 ,_,^ , ,
^ = 545<54 X100 = — = 12^V% of red
Proof.— 51M% +36*% + 125V% = 100%.
Note. — This example purposely has been made more diversi-
fied than will likely be encountered in actual mill practice, in
order that the operation of the formula may be clearly shown.
When four, laps of uniform weight are employed on the
intermediate and finisher pickers, a more simple formula
may be used, as follows:
Let ^ = number of laps of any color fed to the inter-
mediate picker;
jB=number of laps of the same color fed to the
finisher picker;
C=number 01 "mixture" laps fed to the finisher
picker;
Z)=percentage of color (as under A and B) in laps
from finisher picker.
Then, D=6lAC+2iB
Example. — ^Assume that an intermediate picker is fed
with two laps of black and two white laps. The finisher
is fed with one "mixture" lap, one black lap and two laps
of white. What is the percentage of black in the finished
laps?
Solution.— £»=(6iX2Xl) + (25Xl)
D=12i+2S
Z?=37S% of black
COTTON-YARN PREPARATION
119
CARE OF PICKERS
The making of a good lap is an important point. It should
be perfectly cylindrical when removed from the machine, and
should feel as firm at one point as at another. It should
be built so that the layers will unroll easily at the next process
without sticking together. The defect known as splitting, or
licking, is due to various causes, such as excessive fan speed,
improper division of the air-currents, oil dropping on the
cotton, etc.
The laps delivered should be as near a uniform weight as
possible. Each lap from the finisher picker is usually weighed,
and a variation of ^ lb. in either direction is allowed; that is,
if laps weighing 35 lb. are delivered when they are the correct
weight per yard, any laps weighing between 34 J and 35§ lb.
are allowed to pass. Laps weighing outside this range should
be put back and ran over again, and if too many of these laps
are uniformly heavy or light, the regulating screw on the
evener should be adjusted.
Below is given a table showing for what numbers of yarn
certain weights of lap are generally used:
WEIGHT OF LAPS FOR VARIOUS COUNTS OF YARN
Weight of Lap per Yard
Numbers of Yarn
From Finisher Picker
Ounces
Is to 10s
14.0
10s to 20s
13.5
20s to 30s
13.0
30s to 40s
12.0
40s to 50s
11.5
50s to 60s
11.0
60s to 70s
11.0
70s to 80s
11.0
80s to 90s
10.0
90s to 100s
10.0
100s to 120s
9.5
120s to 150s
9.0
A good production for an intermediate or finisher picker
is about 12,500 lb. per week, allowing from 6 to 10 hr. for
120 COTTON-YARN PREPARATION
stoppages. A finisher picker for making 40-in. laps occupies
a floor space of about 16 ft. by 6 ft. 8^ in. and requires about
4 H. P. to drive it.
COTTON CARDS
The lap of cotton as it leaves the picker consists of cotton
fibers crossed in all directions, together with a small quantity
of foreign matter, consisting more especially of lighter impurities
such as pieces of leaf, seed, or stalk, and thin membranes from
the cotton boll.
The objects of carding are: (1) The disentangling of the
cotton fibers, or the separation of the bunches, or tufts, of
fiber into individual fibers, and the commencement of their
parallelization; (2) the removal of the smaller and lighter
impurities; (3) changing the formation of cotton from a lap
to a sliver, accompanied by the reduction of the weight per
yard of the material.
Carding is really a straightening and brushing action, the
fibers being operated on by vAve teeth, known as card clothing
which have the effect of loosely holding a few fibers at a time
and striking them as with a comb.
THE REVOLVING-TOP FLAT CARD
T'he cm'd that is almost universally adopted for cotton
carding is known as the revolving-top flat card, sometimes
spoken of as the revolving flat card. A section through this
card is shown in Fig. 1. At the back of the card is shown the
lap 02, which has a rod ai passed through its center and rests
on the lap roll a. The lap roll a is constructed of wood and is
either fluted or has a rough surface, sometimes produced by
covering it with, a coat of paint mixed with sand, in order to
cause the lap to unroll by friction with the lap roll and without
any slippage.
The cotton is drawn over the feed-plate b by the feed-roll bi,
the single layer, or sheet, leaving the lap at the point 05. The
feed-plate b extends under the feed-roll bi, with its nose pro-
jecting upwards in front of the feed-roll almost to the teeth
shown on the circumference of the licker c. The feed-roll 61
COTTON-YARN PREPARATION
121
122 COTTON-YARN PREPARATION
revolves in the direction indicated by the arrow. Above the
feed -roll rests a small iron rod 62 that is revolved by frictional
contact with this roll and, since it is covered with flannel,
collects any fiber or dirt that may be carried upwards over the
surface of the feed-roll and thus acts as a clearer. It also
serves to prevent any air-current from passing between the
feed-roll and the licker cover.
The lap roll a is positively -geared with the feed-roll 61 in
such a manner that the feed-roll takes up exactly the amount
of cotton delivered by the lap roll, without any strain or
sagging, and as it revolves carries this cotton over the nose
of the feed-plate so that a fringe is brought under the action
of the licker c. The distance between the bite of the feed-roll
and the lower edge of the face of the feed-plate should be from
t's to I in. longer than the average length of the cotton being
worked, as it is necessary that the fibers should be free from
the bite of the feed-roll before the action of the teeth of the
licker exerts its greatest pull.
At the nose of the feed-plate, the licker is moving in a down-
ward direction and the strong, triangular teeth are pointing
in the direction of its revolution. Since the fringe of cotton is
held by the roll, it will be disentangled as the teeth pass through
it. When the cotton is released from the bite of the feed-roll,
it will be taken by the teeth of the licker. Any short fibers,
however, that are not sufficiently long to be secured by the
licker will fall through the space between the two knives d, di,
which are known as viote knives.
Underneath the licker is a casing ci known as the licker
screen. This casing is made of tin and extends across the
card. The portion of the screen directly under the licker is
composed of transverse bars ca, triangular in shape with rounded
comers and set with their bases inverted. As the licker revolves,
heavy impurities that were not previously taken out will be
thrown through the openings in the screen. The top of the
licker is protected by a metal cover cz known as the licker
caver, or bonnet, which is curved to correspond with the
curved surface of the licker.
Situated about midway between the back and front, of the
card, and a prominent feature in its construction, is the cylinder
COTTON-YARN PREPARATION 123
e, mounted on the shaft ei. This cylinder is usually 50 in.
in diameter; its width depends on the width of the card,
being usually 36, 40, or 45 in. The surface of the cylinder
is covered with card clothing, which is a fabric with wire teeth
embedded in it and projecting through it at an angle. The
teeth on the surface of this cylinder point in the direction of
its motion. A point on the surface of the cylinder travels
about 2,150 ft. per min. The teeth of the clothing are set
very closely in the fabric, there being about 72,000 points to the
square foot and more than 3,000,000 points on the entire
cylinder. The fibers are transferred to the surface of the cylin-
der, which is rendered possible by the respective directions of
motion of the cylinder and licker and by the direction in which
their teeth are pointing. The cylinder is also revolving at
more than double the surface speed of the licker, and conse-
quently the fibers are swept off the surface of the licker where
the surfaces of the licker and cylinder are closest and carried
upwards on the surface of the cylinder.
A cover ei, which is known as the back knife plate, protects
the cylinder at this point and prevents an air-cuixent from
being formed by the motion of the cylinder. Above the
cylinder and partly surrounding its upper portion is a chain
of fiats /. These are the parts that give the name revolving-
top flat card to the card. They are made of cast iron, approxi-
mately T-shaped in section, and are partly covered with card
clothing about tI in. wide. I'he fiats are so arranged that
they will be supported immediately above the cylinder without
coming in contact with it. About forty of the fiats rest on a
flexible bend at each side of the card.
The chain of flats is not stationary, but moves at a very
slow speed, the flats nearest the cylinder moving toward the
front of the card, while, of course, the flats that are not working
are carried backwards over the top of those that are at work.
The cotton is carried upwards and forwards by the cylinder
to the point where the flats and cylinder are close together.
When the cylinder reaches the first flat, the cotton on its
surface has a tendency to project from it on account of the
centrifugal force of the cylinder, and comes in contact with
the teeth at the toe of the first flat. The stock is gradually
124 COTTON-YARN PREPARATION
drawn through the teeth of the flat, receiving a combing or
carding action. Some of the fibers that have not projected
sufficiently may not have received any carding action, and
the cylinder carries them forwards to the next flat. The
fibers that have been carded once may be carded again, with
such additional fibers as are brought vmder the action of the
succeeding flat, and so on throughout the entire series. The
small impurities are left behind, since they are forced between
the teeth of the wire on the flats or cylinder and remain
there until the wire is cleaned, or stripped. Thus the short
fibers and impurities are retained, and the long, clean fibers
are passed forwards.
At the front of the card in Fig. 1 is shown a comb j supported
by arms ji. This comb consists of a thin sheet of steel attached
to a shaft and having its lower edge serrated. An oscillating
motion is given to the comb by means of a cam, and at each
stroke it strips from a flat a portion of the short fiber, leaf,
and other impurities that adhere to its face.
After the waste, known as flat strippings, has been removed
by the comb j, the flats are brushed out by means of the brush
k. The brush after it has operated on the flats is cleaned by
means of a hackle comb ki.
Beneath the cylinder is placed a screen es. This consists
of circular frames on each side of the card, practically corre-
sponding to the curvature of the cylinder and connected by
triangular cross-bars e^. As the cylinder revolves, the fibers
that project come in contact with the screen, and thus the
dirt and other foreign substances will be struck off or thrown
through the openings in the screen.
Directly in front of the cylinder is the doffer m, which is
constructed on the same principle as the cylinder. The doffer
is covered with card clothing in a similar manner to the cylin-
der, except that the wire on the doffer is more closely set and
somewhat finer. The doffer is the same width as the cylinder,
but is of a much smaller diameter, usually 27 in. The doffer
revolves in the opposite direction to that of the cyUnder, and
the teeth of the cylinder and doffer point in opposite directions.
The surface speed of the doffer, which varies from 44 to 107 ft.
per min., is much less than that of the cylinder. As the cylinder
COTTON-YARN PREPARATION 125
approaches the doffer its surface is covered with separate
fibers of cotton. Since it is set within about .005 in. from the
doffer and the doffer is revolving so much more slowly, the
fibers of cotton are deposited by the cylinder on the face of
the doffer.
There is no screen beneath the doffer, as it is unnecessary,
but placed above it is a protection consisting of a metal cover
rrn known as the doffer bonnet. At the point ms it extends
to, and is almost in contact with, a plate of steel es placed over
the front part of the cylinder. Above this is a plate en known
as the front knife plate. A draft strip, or making-up piece, me
is placed in the recess formed by the doffer bonnet and the
plate es, so as to fit the angle between the doffer and the
cylinder and thus prevent dirt from entering. It also prevents
drafts and thus does away with flyings.
The cotton is carried around by the doffer on its under side
until it reaches the doffer comb n, which has an oscillating
motion of about 1,800 or 2,000 strokes per min. The com.b
consists of a thin sheet of steel attached to a shaft by a number
of small arms, and has its lower edge serrated. The down-
ward strokes of th.e comb are in the 'same direction that the
teeth of the doffer are pointing and close to them, thus making
the operation of removing the cotton very easy.
The cotton, when it leaves the doffer, is in a web, which
must be reduced to a sliver. This is attained by passing the
cotton through a guide and then through a trumpet o, on the
other side of which are two calender rolls oi, 02. The object
of these rolls is to compress the sliver so that it will occupy a
comparatively small space.
From the calender rolls 01, 02 the cotton passes through a
hole in the cover p of an upright framework., known as the
coiler head. It is drawn through the hole in the cover by two
coiler calender rolls, which further condense it, and is then deliv-
ered into an inclined tube on a revolving plate. The end of
the tube that receives the cotton is in the center of the plate,
directly under the calender rolls, and the end of the tube
from which the cotton is delivered is at the outer edge of the
plate. At the bottom of the coiler head is a plate on which
rests the can that receives the sliver. In consequence of the
126 COTTON-YARN PREPARATION
sliver being delivered down the rotating tube, it will describe
a circle and be laid in the can in the form of coils.
CARD CLOTHING
Card clothing is the material with which the cylinder, doflfer,
and flats of the card are covered and by means of which. the
cotton is opened and the fibers straightened and laid parallel
to each other. It consists of wire teeth bent in the form of a
staple and inserted in a suitable foundation material. The
teeth in addition to being bent in the form of a staple, also
have a forward bend, or inclination, from a point known as
the knee of the tooth. The part of the tooth that is on the
back of the foundation after the tooth has been inserted is
known as the crown of the tooth.
The foundation material must be such that it will not
stretch after it is applied to the card, for if the clothing becomes
loose it will rise in places, or as is commonly said, will blister.
The foundation generally used is a fabric woven from cotton
and woolen yams, although sometimes cotton and linen are
employed", the linen being used on account of its strength and
freedom irom stretching.' The fotmdation is generally woven
three or four ply, in order to obtain the required strength
and the thickness that is necessary to secure the teeth. Some-
times the stirface of the foundation is coated with a veneer
of India rubber.
The wire teeth actually do the carding, the separating of
the cotton, fiber from fiber, and the rearranging in a homo-
geneous mass in which the fibers lie more or less parallel. The
material from which the wire is made, the number (diameter)
of the wire, the angle at which the wire passes through the
foundation, the angle at the knee of the tooth, the relative
height of the knee and point, and the method of insertion in
the foundation are all important considerations.
Clothing is set with many different kinds of wire, such as
iron, brass, mild steel, tempered steel, tinned steel, etc., but
for cotton carding hardened and tempered steel, which makes
a springy, elastic tooth that will not easily be bent out of place
or broken, is the best material. The wire generally used is
round in section, but various other shapes have been used.
COTTON-YARN PREPARATION
127
After the wire has been set in the foundation it is ground
to a point, and this alters the form of the section of the tooth
at the point, or in some cases as far down as the knee. There
are three methods of grinding the clothing, which give to it the
following names: (1) top-ground; (2) needle-, or side-ground;
(3) plow-ground.
Top-ground wire is obtained by an emery grinding roll
having a very slight traverse motion, so that the point of the
tooth is ground down only on the top, producing what is
known as a flat, or chisel, point.
In the needle-, or side-, ground wire the thickness of the
tooth is reduced at the sides for a short distance from the point
and the wire is also ground down at the top. This form 'of
point is known as the needle point and is produced by a compara-
tively narrow emery grinding v/heel that, in addition to having
COMPARATIVE DIAMETERS OF ENGLISH AND
AMERICAN STANDARD WIRES
Birmingham
Number of Wire
American
Diameter in Inches
Diameter in Inches
.014
28
.012641
.013
29
.011257
.012
30
.010025
.010
31
.008928
.009
32
.007950
.008
33
.007080
.007
34
.006305
.005
35
.005615
.004
36
.005000
a rotary motion, is rapidly traversed back and forth across
the clothing.
Both top and needle grinding are practiced in the mill, the
former being accomplished with the. so-called dead roll and the
latter with the traverse grinding roll, but plow grinding is
usually done by the manufacturers of the clothing. With
this method of grinding, the thickness of the wire is reduced
by grinding down each side from the point o^ the tooth to the
knee.
128 .COTTON-YARN PREPARATION
The diameter of the wire varies according to the class of
cotton to be carded. There are two gauges employed for
numbering wire for card clothing,' nameiy, the Birmingham,
which is the English standard, and the American standard.
The accompanying table shows the comparative diameters
of different numbers of wire of each system:
For an average grade of cotton. No, 33 wire (American
gauge) for the doffer and flats and No. 32 for the cylinder
will give good results, although some carders prefer one number
finer in each instance; for coarse work the wire is increased in
diameter, and for finer work decreased. The cylinder should
always be covered with wire one number coarser than the
dcfier and fiats, which should have wire of the vsame diameter.
CALCULATIONS
Card clothing for cotton cards is made in long continuous
strips 1 to 2 in. in width known as fillet or filleting, and in
narrow sheets known as tops; the former is used for covering
the cylinder and doffer and the latter is used for the flats.
Fillet clothing is made rib set; that is, with the crowns of the
teeth, on the back of the clothing, running in staggered ribs,
or rows, lengthwise of the fillet. The teeth are set into tops
so that the crowns of the teeth on the back side of the founda-
tion are twilled; that is, they are set in diagonal lines like a
piece of twilled cloth.
Card clothing in America, unless especially ordered, is made
with 4 crowns in 1 in. on the back of the clothing, or 8
points in 1 in. on the face, and is known as 8-crown clothing.
From this it will be seen that a 2-in. fillet will have 8 ribs on
the back and a l|-in. fillet, 6 ribs, etc. Sometimes in special
cases where a large number of points per square foot are
desired, the clothing is made 10-crown; that is, with 10 points
per in. in width on the face of the clothing, or 5 crowns per in.
on the back of the clothing.
The term nogg, which is used in connection with card
clothing, refers to the distance between the first tooth of one
line of twill and the next line. Owing to the manner in which
the teeth are set in fillet clothing, there are always one-half the
number of teeth per nogg and twice the number of noggs per
COTTON-YARN PREPARATION 129
inch as in clothing for tops with the same number of points
per square foot. The number of noggs per inch always governs
the number of points per square foot in the clothing. If more
points per square foot are wanted, the noggs per inch are
increased; if fewer points are wanted, the noggs per inch are
decreased, the crowns always remaining the same.
The points per square foot in card clothing may be found
by the following rule:
Rule. — Multiply the crowns per inch by the points per tooth
(2), by the teeth per nogg, by the noggs per inch, and by the number
of square inches in a square foot {144)-
Example 1 . — Find the points per square foot in a sample of
rib-set card clothing; the crowns per inch are 4, the teeth per
nogg 3, and the noggs per in. 16.
Solution. —
4 crowns per m.
2 points per tooth
8 points per in.
3 teeth per nogg
24
1 6 noggs per in.
iTI
24
3 8 4 points per sq. in.
1 4 4 in. per sq. ft.
153 6
1536
3 84
5 5 2 9 6 points per sq. ft.
Dividing the points per square foot by the noggs per inch,
thus, 55,296-^16 = 3,456, it will be noticed that with 8-crown
fillet (4 crowns per inch) each nogg increases the points
per square foot by 3,456. Prom this it will be seen that in
order to find the points per square foot in 8-crown fillet
clothing it is only necessary to multiply the noggs per inch
by 3,456.
Example 2. — Find the points per square foot in a sample
of twill-set card clothing, the crowns per inch being 4, teeth
per nogg 6, and the noggs per inch 8.
130
COTTON-YARN PREPARATION
Solution. — 4 crowns per in.
2 points per tooth
8 points per in.
6 teeth per nogg
48
8 noggs per in.
3 8 4 points per sq. in.
1 44
1 .5 3 6
153 6
3 84 _
5 5 2 9 6 points per sq. ft.
Dividing the points per square foot by the noggs per inch,
thus, 55,296-^8 = 6,912, it will be noticed that with 8-crown
twill-set clothing each nogg increases the points per square
POINTS PER SQUARE FOOT IN RIB-SET
CLOTHING
Noggs per Inch
Points per Square
Foot
American Number
of Wire
10
34,560
28
11
38,016
28
12
41,472
29
13
44,928
29
14
48,384
30
15
51,840
30
■ 16
55,296
31
17
58,752
31
18
62,208
32
19
65,664
32
20
69,120
33
21
72,576
33
22
76,032
34
23
79,488
34
24
82,944
35
25
86,400
35
26
89,856
36
27
93,312
36
foot by 6,912. To find the points per square foot in twill-set
clothing multiply the noggs per inch by 6,912.
COTTON-YARN PREPARATION
131
In the preceding table is given the number of points per
square foot of 8-crown, rib-set fillet (4 crowns per inch) with
3 teeth per nogg and with from 10 to 27 noggs per in. The
table also shows the numbers of wire (American gauge) gener-
ally used in each case.
In the following table is given the number of points per
square foot of 8-crown, twill-set clothing with 6 teeth per nogg
and with from 5 to 13 noggs per inch.
POINTS PER SQUARE FOOT IN TWILL-SET CLOTfflNG
Noggs per Inch
Points per Square
Foot
American Number
of Wire
5
34,560
28
6
41,472
29
7
48,384
30
8
55,296
31
9
62,208
32
10
69,120
33
11
76,032
34
12
82,944
35
13
89,856
36
For an average grade of cotton the doffer should have 20 or 21
noggs per in. and the fiats 10 or 10| noggs per in., which in
each case would give 69,120 or 72,576 points per sq. ft. For the
main cylinder 18 or 19 noggs per in. are suitable, which would
give 62,208 or 65,664 points per sq. ft. The number of points
may of course be varied to suit the class of work, but it is
generally desirable to have the same number of points in the
doffer and fiats; and the main cylinder should have a slightly
smaller ntmiber than either.
English Method of Numbering Card Clothing. — English
card clothing for tops is often made with the teeth inserted
according to a method known as the plain, or open set, in
which the crowns, or backs, of the teeth overlap each other
exactly as bricks in a wall. The clothing is made 10-crown;
that is, with 10 points per in. across the card. This method
of setting the teeth is often used in America when a large
number of points per square inch is desired.
132
COTTON-YARN PREPARATION
The English system of numbering clothing is based on the
plain-set clothing, and designates the clothing by the counts,
each count being equal to 720 points per sq. ft. The accom-
panying table shows the points per square foot in card clothing
of various counts and also the number of wire (American gauge)
that is usually used.
ENGLISH COUNTS OF CARD CLOTHING
English Counts
Roints per Square
Foot
American Number
of Wire
60s
43,200
28
70s
50,400
30
80s
57,600
31
90s
64,800
32
100s
72,000
33
110s
79,200
34
120s
86,400
35
130s
93,600
36
CLOTHING FLATS
The clothing for the fiats is made in sheets with a 1-in. space
between the sections of wire; these are afterwards cut up to
form the tops. The method of fastening the top to the fiat is to
employ a steel clamp of the same length as the clothing and
bent in a U shape. One edge of this clamp in some cases is
serrated, so as to grip the fotmdation, and the other edge
engages the edge of the fiat, holding the clothing and flat
securely together.
CLOTHING CYLINDER AND DOFFER
Both the cylinder and doffer, which are covered with filleting,
have parallel rows of holes drilled across them, which are
plugged with hardwood. The fillet is wound spirally and
secured by means of tacks driven m the hardwood plugs.
Cylinders are usually covered with 2-in. and doffers with If-in.
filleting. There are several methods of shaping the tail-ends,
as they are called, but the best is that known as the inside taper,
since it is stronger and neater than any other. Three lengths,
COTTON-YARN PREPARATION 133
each equal to one-half the circumference of the cylinder of the
doff er, as the case may be, are first marked out on the end of the
fillet; in the case of a 50-in. cylinder these distances would be
6.545 ft. each. For the first distance, the fillet is cut exactly
through the middle; for the second distance, it is tapered from
half the width of the fillet to the full width; for the third dis-
tance, a cut is made on the opposite side of the fillet exactly
half way through it and the fillet tapered out to its full width
again. After one tail-end is cut, the end of the fillet is tacked
to the plugs in the cylinder and the fillet wound around the
cylinder spirally; the other tail-end is then cut and fastened
to the cylinder in the same manner as the first tail-end.
The length of filleting to cover a cylinder, doffer, or other roll
may be found by the following rule:
Rule. — Multiply the diameter of the roll by its width {both
expressed in inches) and by 3.14I6 and divide the product thus
obtained by the width of the fillet multiplied by 12. The result
thus obtained will be the required number of feet of filleting.
Note. — An allowance must be made for tapering the tail-
ends, generally a length equal to the circuiiiference of the roll
being sufficient.
Example. — What length of 2-in. filleting is required to
clothe a C3dinder 50 in. in diameter and 40 in. wide?
50X40X3.1416
Solution. — = 261.8 ft.
2X12
Adding a length equal to the circtmiference of the cylinder,
which is 13.09 ft., the length required will be 274.89 ft.
SPEED CALCULATIONS
If the driving shaft makes 340 revolutions per min. and
carries a 10-in. pulley, the pulley en. Fig. 2, will be driven as
follows:
340X10
20
= 170 rev. per min.
As the cylinder is 50| in. in diameter, allowing | in. for
clothing, its surface speed will therefore be as follows:
170X501X3.1416
= 2,258.679 ft. per min.
12
134 COTTON-YARN PREPARATION
4"Dia.
/8"D/a.
ZO"S>/a.
■B-Diek
%3 ^
Fig. 2
COTTON-YARN PREPARATION 135
Licker. — The diameter of ei5, Fig. 2, is 18 inches and that
of C6 is 7 in., so that when the cyUnder makes 170 rev. per min.,
the revolutions per minute made. by the licker will be as follows:
170X18
=437. 142 rev. per mi n.
7
As the licker is usually 9 in. in diameter, its surface speed
will be as follows:
437.112X9X3.1416
— = 1,029.993 ft. per mm.
12
Doffer. — The 4-inch pulley ce. Pig. 2, on the end of the licker
drives the 18-inch barrow pulley mj, which is compounded with
the doflfer change gear ms. This gear, for the purpose of calcu-
lation, will be assumed to have 22 teeth; the gear on the end
of the doflfer contains 190 teeth. With the licker making
437.142 rev. per min., the speed of the doffer will be as follows:
437.142X4X22
— = 11.248 rev. per min.
18X190
As the doffer is 24f in. in diameter, allowing | in. for clothing,
its surface speed will be as follows:
11.248X241 X3.1416
= 72.881 ft. per min.
12
Flats. — The 5-in. pulley en, Fig. 2, drives a pulley 10-in. in
diameter, not shown. This pulley carries a single-threaded
worm that meshes with a 18-tooth worm-gear. On the shaft
with this worm-gear is a single-threaded -uorm that drives a
42-tooth worm-gear on the shaft of the 8-inch pulley driving
flats. The speed of the flats, therefore, will be
170X5X1X1X8X3.1416 ^ ^^^ .
— = 3.179 in. per mm.
10X16X42
Draft. — The following examples illustrate the manner of
finding the draft:
Example 1. — Find the draft between the lap roll and feed-
roll, referring to Fig. 2 for data.
2 5X48
Solution. — — = 1.176, draft
6X17
136 COTTON-YARN PREPARATION
Example 2. — Find the draft between the feed-roll and doffer,
using a 16 change gear at b^.
24X40X120
Solution. — - = 72, draft
2.5X40X16
Example 3. — Find the draft between the doffer and the bot-
tom calender roll.
3X190
Solution. — ■ = 1.13, draft
24X21
ExAJNiPLE 4. — Find the draft between the bottom calender
roll and the coil er .calender rolls, when a 27-tooth gear on the
calender-roll shaft drives a 17-tooth gear on the vertical shaft
of coiler.
2X24X1^X27
Solution. — = 1 .059 , draft
3X24X18X17 ,
Example 5. — Find the total draft of the card, figuring from
the coiler calender rolls Pi, to the lap roll a, using a 16 change
gear at b^, and considering the vertical shaft of the coiler to be
driven as stated in example 4.
Solution. —
2X24X 18X27X 190X40X 120X48
: = 101.433, draft
6X24X18X17X21X40X16X17
Proof. — To prove that intermediate drafts equal total
draft, 1.176X72X1.130X1.059 = 101.325.
Waste. — The amount of waste made in carding shotild not,
as a rule, exceed 5% and the work of the card should be closely
watched, especially in respect to the waste under the cylinder,
which should be examined at frequent intervals to see whether
it contains too much good cotton.
Productson. — The production of the card varies according to
the class of work, a good production on low numbers being from
700 to 1,000 lb. per wk. ; for fine yams it is much lower. The
weights of delivered sliver suitable for certain classes of work
are as given in the accompanying table.
Weight and Horsepower. — The weight of a single revolving-
flat card is about 5,000 lb. It requires from f to 1 H. P. to
drive it after the initial strain of starting, which requires much
greater power.
COTTON-YARN PREPARATION
WEIGHTS OF COTTON CARD SLIVERS
137
Variety of Cotton
Numbers
Weight per Yard
Grains
Is to 10s
70
10s to 15s
65
los to 20s
60
20s to 30s
55
30s to 40s
50
40s to 60s
50
60s to 70s
45
70s to 100s
40
40s to 60s
55
60s to 70s
50
70s to 100s
45
70s to 100s
35
100s upwards
30
Average American <
Allan-seed and Peelers <
Egyptian <
Sea-Island <
CARE OF CARDS
Stripping. — The number of times that a card should be
stripped within a stated period depends on two factors. One
is that the greater the weight of cotton that is put through the
card per da3'', the more frequently it should be stripped; the
other is that on fine work the clothing should be kept as free
as possible from short fiber and particles of foreign matter, so
that when running fine work the card should receive more
frequent stripping, notwithstanding the fact that a lighter
weight of cotton is being put through the card than in coarse
^work. It may be stated as a common practice that for fine
work the card should be stripped three times a day unless a very
large production is being obtained, when it is advisable to strip
four or even five times per day* with a medium production
and where a very high grade of work is not called for, it is not
necessary to strip the cylinder and doffer more than twice a day.
Grinding. — Grinding is the process of sharpening the teeth of
the card wire of the cylinder, doffer, or flats by means of rolls
called grinding rolls, which are of two kinds — the dead roll and
the traverse grinder. The dead roll consists principally of a
hollow shell mounted on a shaft and covered with emery
fillet wound spirally on its surface. When grinding, a slight
138 COTTON-YARN PREPARATION
traversing motion is given to the dead roll, which grinds the
backs of the teeth with a slight tendency toward grinding
the sides.
The traverse grinder consists of a roll about 4 in^ wide covered
with emery fillet and mounted so as to slide on a hollow barrel,
or shell, of large diameter. Since the grinding roll presses
against the clothing, the result of its traverse motion is to cause
the teeth that are in contact with it to be bent, or inclined,
toward the side of the card to which the roll is moving. The
result of this is that the sides of the points of the teeth are
ground down slightly, as well as the top of the points. In con-
sequence of the roll being so narrow, it requires a longer time to
grind the card with this mechanism than with the dead roll,
other conditions being the same, but the results are so much
better that it is very largely used. The length of time required
for grinding depends to a great extent on the condition of the
wire, since if the points of the teeth are dulled considerably, a
longer time will be required than if the clothing is in compara-
tively good condition. The degree of coarseness of the emery
on the grinding roU also governs, to some extent, the time
required for grinding, since coarse emery cuts much faster than
fine emery. The time is also governed by the extent of pressure
exerted by the grinding roll on the clothing. If the grinding
roll is set so that it presses heavily on the wire, the grinding will
be accomplished in less time, although there is more danger of
injuring the wire; such grinding is known as heavy grinding.
If the grinding roll presses only lightly against the clothing,
a greater time will be required to secure the proper point on the
teeth, but there is less danger of injuring the wire; this method
of grinding is spoken of as light grinding.
As a general rule it may be stated that from one-half to one
working day, or from 5 to 10 hr., is the usual time required for
properly grinding the cylinder and doflfer of a card.
The interval between the times of grinding varies. Generally
speaking, it is advisable to grind frequently and lightly rather
than at more remote intervals and heavily.
Setting. — The setting of the different parts of the card
requires careful attention and is one of the most important
points in the management of the card room. The principal
COTTON-YARN PREPARATION 139
places where setting is required are as follows: between the
cylinder and the flats, between the licker and the cylinder, and
between the doffer and the cylinder. Other places for setting
are between the mote knives and the liclcer, between the feed-
plate and the licker, between the (cylinder screen and cylinder,
between the licker screen and the licker, between the back
knife plate and the cylinder, between the front knife plate and
the cylinder, between the flat-stripping comb and the flats, and
between the doffer comb and the doffer.
The exact setting, or distance between certain parts, of the
card is determined by the use of gauges; two, and in some cases
three, kinds are used. The first one is about 9 in. long and If
in. wide and contains four leaves pivoted together. These
leaves are made of thin sheet steel and are usually nrs^, T^m,
T^, and jhhs in. thick, respectively. The second gauge
which is used exclusively for flat setting, consists of a strip of
sheet steel about 2J in. long and 1^ in. in width bent at right
angles about f in. from one end, with a handle attached to this
end. The other end is the part used for setting and is usually
tMv, jihs, or t^ in. thick. The third gauge consists of a
quadrant or semicircle mounted on a shaft and is used for
setting the top of the cylinder screen to the cylinder and licker,
and also in some cases to set the licker screen to the licker.
Since the leaf and flat gauges are very thin, they are easily
damaged, and in this condition are of little use, producing faulty
settings; consequently, great care should be used to prevent
the faces becoming dented, bent, or injured in any way.
The flats are set by means of the flat gauge described, while
the card is stopped, and preferably when other machinery in the
room is also stopped, so as to prevent any vibration of the floor.
The flats are usually set about t^ in. from the cylinder at
the heel of the flat. The flats at the front of the card should
be set the closest to the cylinder, while the space between the
flats and the cylinder should gradually increase toward the back.
If a No. 10 gauge is used, the fiats at the back are set loosely to
the gauge; those at the top and center, a little closer; and those
at the front are set still closer.
The leaf gauge is used for setting the licker and it is generally
set to the cylinder with a No. 10 gauge.
140 COTTON-YARN PREPARATION
The doffer is usually set to the cylinder with a No. 5 or No. 7
leaf gauge by inserting the gauge between the doffer and the
cylinder where they are closest. When a No. 7 gauge is used,
the doffer is usually set tight to the gauge.
The position of the doffer with relation to the cylinder is an
important matter and should receive careful attention. If the
doffer is set too far away from the cylinder, a patchy or cloudy
web will result, owing to the doffer not taking the fibers evenly
from the cylinder.
The mote knives are set to the licker by means of the leaf
gauge and the number of the gauge varies from 12 to 17.
The leaf gauge is used to set the feed-plate and is inserted
between the licker and the face of the feed-plate. The number
of the gauge varies from 12 to 20.
The cylinder screen is set farther from the cylinder at the
front than at any other point, the distance being about .25 in.,
and the screen at the center and back is set about .032 in. from
the cylinder. This arrangement prevents the ends of the fibers
that have been thrown out by centrifugal force from coming
in contact with the front edge of the screen and thus being
removed from the cylinder as fly, which would readily occur if
this setting were too close.
As the licker and cylinder screens are very close to each other
at their nearest point, and as the front end of the licker screen
m_ust be set only a short distance below this point, it is nearly
impossible to make an accurate setting with the licker in posi-
tion. The best method is to remove the licker and use a quad-
rant gauge, the curvature of the outside surface of which should
correspond exactly to the curvature of the surface of the licker.
This gauge is mounted loosely on a shaft of exactly the same
size as the licker shaft. The ends of the shaft rest in the licker
bearings and the screens are set to the proper distance from the
quadrant gauge by sliding the quadrant along the shaft. The
front edge of the licker screen at the point where it is hinged to
the cylinder screen is usually set about .011 in. from the licker.
The nose, or portion of the licker screen with which the fibers
first come in contact, is set ^ to i in. from the teeth of the
licker, according to the amount of cleaning action desired at this
point and the staple of the cotton being used.
COTTON-YARN PREPARATION 141
The back knife plate is set to the cyUnder to about a No. 17
leaf gauge at the lower edge and a No. 32 at the upper edge.
This allows the fibers to free themselves and Stand out a little
from the cylinder before coming in contact with the fiats.
The front knife plate is also set with the leaf gauge, its dis-
tance from the cylinder at the lower edge being about -.017 in.
The space between the upper edge of the plate and the cylinder
depends on the amount of waste that it is desired to remove as
fiat strippings, but the usual setting is about .032 in. If the
plate is set farther from the cylinder, more and heavier strip-
pings will be made, and if moved too far away, the strips will
form one continuous web instead of being connected by merely
a few fibers. If the plate is set too close, some of the short
fibers and dirt removed from the cotton by the fiats will in turn
, be taken from the flats by the knife and carried around by the
cylinder, thus producing bad work.
The distance between the toe of the flat and the stripping
comb is determined with the leaf gauge and is usually about
.007 in.; although this setting should be close enough to allow
the comb to remove the strippings from the fiats, it should not
be so close that the comb will strike the wire and damage it.
The doffer comb is usually set to the dofEer at the point where
they are closest to a No. 7 leaf gauge.
The doffer comb, in addition to being adjustable as to its
distance from the doffer, is adjustable as to the position of
its stroke, which is changed by altering the relative positions
of the comb and the eccentric from which it receives its motion.
If the web should follow the doffer instead of being removed by
the comb, the position of the stroke should be lowered; if the
web sags between the doffer and the trumpet, as it sometimes
does, owing to atmospheric changes, etc., the position of the
stroke should be raised.
The settings given are used only as a basis. The settings
of the various parts of the card vary according to the stock
being used and the quality and kind of finished work.
Management. — In the management of cards many points
should be watched, but more especially those that have for
their objects: (1) the production of good work; (2) turning
off as large a production as is consistent with the quality of the
142 COTTON-YARN PREPARATION
work required; (3) economy by avoiding unnecessary waste
and keeping down the expenses of wages, power, supplies, etc.;
(4) maintaining the machinery in good condition.
DRAWING ROLLS
COMMON ROLLS
The principle of roll drafting is the most important feature
of parallelizing and attenuating machinery. Drawing rolls
are of two kinds — common and metallic.
Common top rolls are made in short lengths and are covered
with leather. Bottom rolls of the common type are almost
always constructed of steel, and are fluted; that is, grooves
are cut lengthwise in the surface of the rolls at certain intervals.
These flutes aid the bottom rolls in obtaining a better grip on
the cotton as it passes between them and the top rolls. Top
rolls may be made with one or two bosses, being known as
single-boss and double-boss, respectively; the boss in both
single- and double-boss rolls may be detachable. When the
boss of a roll is detachable, the roll is known as a loose-boss, or
shell, roll; when the boss is not detachable, the roll is known as
a solid roll.
Covering of Top Rolls. — As two metal rolls revolving in con-
tact would tend to crush the delicate cotton fibers, a leather
covering is necessary for top rolls of the common type. The
iron surface of the roU is first covered with a specially woven
woolen cloth, which is cemented to the roll, giving a good,
elastic foundation. When a thin leather covering that fits
very tightly is drawn over this foundation, the roll is capable of
gripping the fibers and, owing to the yielding quaUty of the
leather and cloth, does not damage them.
The cloth that lies underneath the leather should be made of
the finest and best wool, and it should not be possible to detect
by the hand the slightest variation of thickness. In mills
covering their own rolls, the old leather should be removed and
the cloth carefully examined. If it shows any evidence of dis-
integration, or wear, or an uneven surface, it should bp con-
denuaed and removed. When roils are sent out to be covered.
COTTON-YARN PREPARATION 143
it is considered advisable to cut the cloth with a knife in order
to prevent the same cloth being used again.
In covering rolls, the cloth is cut into strips slightly narrower
than the boss of the roll. A strip of this cloth is then laid fiat
on a table and a clean roll, the boss of which is covered with
glue, is placed on the end of the strip and the cloth wound on the
roll. The roll during this operation should be neither hot nor
cold — simply warm. The cloth is cut with a sharp knife at the
point where it begins to pass around the roll the second time.
After the cloth is put on and the seam pressed together with the
fingers, the roll should be put into evening, or smoothing, rolls
for the purpose of smoothing out any lumps or foreign matter
that may have been in the glue, thereby producing a perfectly
true and even surface.
The substance that is most suitable for covering top rolls is
the skin of the lamb or the sheep, or the skin of the goat. The
outside layer of these skins is thin, tough, and very elastic.
The color should be taken into consideration when selecting
a skin. English skins usually have a color known as the natural
oak-bark color, which is a light brown; a reddish color is given
to others by means of dye. American skins are usually of a
dark-cream color. The darker the shades the more the grain
defects are hidden from view.
The size and color of skins depend on the size and age of
the animal from which they are obtained. Lambskin is used
for the more delicate work, as it is finer than sheepskin; sheep-
skin is used for the coarser work.
When placing the leather covering on rolls, the skins are cut
into strips rather wider than the boss of the roll so as to allow
for burning off the ends. The strips are next cut into small
pieces just sufficient to fold around the boss of the roll, and their
ends are beveled to make a joint that will not be perceptible
to the touch. The beveled ends are then carefully joined
together with cement. The leather tube, or cot, is placed in a
press for a short time in order to insure a perfect joint.
The next operation is to draw the cot over the boss of the
roll — an operation somewhat similar to drawing the finger of
a glove on the finger. The roll is then revolved at a high rate
of speed and any part of the leather that projects over the boss
144 COTTON-YARN PREPARATION
is burned off by friction with a piece of hard wood. The charred
portion of the skin forms a collar at the ends of each boss.
The roll must be placed in the machine so that it will not run
against the joint, and in some cases the way the lap runs is
marked by a dot of ink on the grain side of the skin. In putting
cots on double-boss rolls care should be taken that the bevels
run the same way and that the cots are of the same thickness.
Varnishing of Top Rolls. — It is the general practice in almost
all mills to varnish the rolls that perform the heaviest work;
namely, the rolls of the drawing frame, comber, sliver lap,
ribbon lap, and in some cases the slubber. Varnished rolls
should present a smooth, hard surface that has dried without
cracking and that does not cause fiber or dust to adhere to it.
Almost every mill has its own system of preparing varnish, and
foil coverers have for sale various compositions for this purpose.
Three recipes for preparing varnish are:
1. 9 oz. of fish glue; 2 qt. of acetic acid; 2 teaspoonfuls of oil
of Origanum. This mixture should stand for about 2 da. in
order that the glue may be thoroughly dissolved, after which
it may be thickened with fine pov/dered paint of any color
that may be desired.
2. 1| lb. of fish glue; | lb. of gum arable; 5 lb. of powdered
alum; 2 lb. of acetic acid; 4 lb. of water. This mixture should
be thoroughly dissolved over a slow fire, after which it may be
thickened with paint in the same manner as in the first recipe.
3. 1 oz. of ordinary glue; f oz. of fish glue; j oz. of gum
arabic. This mixture should be dissolved in 2| gi. of water
and allowed to simmer for 1 hr. over a slow fire, after which
6 oz. of thoroughly ground paint of any color may be added to
thicken it.
Generally one coat of varnish is put on the rolls, although
sometimes where fine numbers are required, two coats are put
on, and two or even three coats are put on new or newly-covered
rolls before they are put into the frame.
METALLIC ROLLS
The most practical substitute for common rolls is to have
flutes in a top steel roll corresponding to those in a bottom roll.
The flutes of the rolls mesh together, but in order to prevent
COTTON-YARN PREPARATION 145
the teeth of one roll from reaching to the bottom of the spaces
between the teeth of the other roll, the rolls are held slightly
apart by collars. On a 16-pitch roll the diameter of the collars
is .07 in. less than the diameter of the fluted section, and as both
rolls are the same, the amount of overlap is .07 in. With a
24-pitch roll the collars are .06 in. less in diameter than the
fluted section, and on a 32-pitch roll they are .044 in. less.
Thus, the amount of overlap with 24-pitch rolls is .06 in. and
with 32-pitch rolls, .044 in. This amount of overlap is sufficient
to grip the sliver.
Advantages of Metallic Rolls. — The top rolls of a metallic
set are positively driven by the flutes of the lower roll meshing
with the flutes of the upper roll. The cost of roll covering and
subsequent varnishing is saved, and the bad work that arises
from imperfectly varnished rol's is entirely obviated.
It is claimed that, as metallic rolls run on collars, friction
is great'y reduced; that licking, from the presence of electricity
and atmospheric changes, is prevented and that consequent
waste is avoided. However, metallic rolls at the present time
are not used to any large extent except on drawing frames,
sliver-lap machines, and slubbers.
SETTING OF DRAWING ROLLS
One of the most important points in relation to drawing rolls
is the position of one pair of rolls relative to another, which is
governed by the length of the staple and bulk of cotton being
used. In setting rolls, there is one broad principle that must
always be followed: the distance between, the centers of each
pair of rolls must always exceed the average length of the
staple of the cotton being used.
Rapidly-revolving rolls, also, require wider settings than those
having slow speed. When the ends put up at the back are
heavily twisted, the settings are wider on the same machine
than when the ends fed are slightly twisted. Harsh, wiry
cotton requires wider settings than smooth, silky cotton,
because it does not draw so easily.
As the rolls are set according to the staple of the cotton used,
it is evident that the rolls intended to run on coarse counts from
short-staple cotton, must be. smaller in diameter than those
146
COTTON- YARN PREPARA TION
^Aor/Sfaf>/e
^pinningi Frame
Mec/ii/m Stafi/e
lonffS^/^9
JackRoi^'/tgffame-Deat/WeifhKlf
COTTON-YARN PREPARATION
147
intended to work long-staple cotton, in order that the centers
of the rolls may be brought near enough together. The dia-
gram given in the accompanying illustration shows the settings
and diameters of rolls for different kinds of cotton. These
settings will vary, however, according to conditions.
The settings given in the accompanying table for American
cotton of about 1-in. staple are taken from actual measurements
in a mill making an average of 32s.
DRAWING-ROLL SETTINGS FOR AMERICAN COTTON
Speed
of
Front
Roll
Weight
of Sliver
at Back
Distance Between
Centers
Front
and
Second
Inches
Second
and
Third
Inches
Third
and
Back
Inches
First drawings.. .
Second drawings.
Third drawings. .
Slubbing
Intermediate. . . .
Roving
411
411
411
162
143
116
125
68 grains
68 grains
68 grains
68 grains
.57-hank
1.61-hank
5- hank
1/^
If
li
lA
11
lA
If
If
If
\i
. If
If
If
If
Spinning.
Each case of roll setting must be judged by its requirements.
The table shows ordinary settings on the intermediates, roving,
and spinning, and excessively wide settings on the drawing and
slubber on account of the unusually heavy sliver and high speed.
WEIGHTING OF TOP ROLLS
In order to maintain a grip on the fibers, the top rolls must
have a constant pressure on the bottom rolls. This pressure
is maintained by means of weights, light weights beijig applied
to slow-running frames and heavier ones to frames where the
rolls run at high speeds.
Self-weighting consists of having the top roll heavy enough
to maintain the necessary pressure on the fiber, and is used on
148
CO T TON- YA RN PREP A RA TION
the center and back rolls of fine roving frames, spinning frames,
and mules intended for very fine spinning.
Dead weighting consists of hanging a weight of suitable
magnitude directly from the top
roll.
Lever weighting, which is a form of
dead weighting, consists of exerting
pressure by means of a weight acting
through a lever. By this means a
smaller weight may be used and the
same pressure obtained as when a
\u. larger weight is employed in the
system of dead weighting.
This will be made more clear by reference to the accompany-
ing illustration, and the following data: The weight of w is
4 lb.; the distance of wf is 7J in.; pf, f in.; jk, f in.; kl. If in.;
Im, I in. ; mn,. I5 in. ; In, 1 in. ; jl, 2 in. The total pressure will
equal
Weight X'Zf/ 4X7-J
•— = = 40 Id., total weight on all rolls
Pf i
Part of this 40 lb. will be distributed on j and the remainder
on the point g.
The pressure on j will equal
klX^O lfX40
jl
- = 27|lb.
12| lb., or the pressure at
■ 121 lb.
= 4.166 lb.
The pressure at g equals 40— 27^
g will equal
j^X40 ^ fX40
jl ~ 2 '
The pressure at n will equal
^wX12|_|Xl2|
mn 1|
The pressure at m will equal 12|— 4.166 = 8.33 lb., or the
pressure at m will equal
lnXl2i 1X121 „^^,^
= = 8.33 lb.
mn 1|
Metallic drawing rolls require less weighting than common
drawing rolls. The principal reason for this is that the former
COTTON-YARN PREPARATION 149
grip and hold more securely the fibers being operated on than
do the latter. This is due to the fact that both the top and
bottom rolls are fluted in the case of metallic rolls and the
flutes interlocking results in the fibers being more securely
held. When common rolls are used, the top roll must be
weighted sufficiently to cause it to press firmly on the bottom
roll in order that the fibers may be properly gripped. An
example of the relative weighting of metallic rolls and common
rolls, assuming that drawing frames are being considered, is as
follows:
Single-Boss Metallic Rolls
Front rolls, 36 lb. (18 lb. at each end)
Second roll, 32 lb. (16 lb. at each end)
Third roll, 28 lb. (14 lb. at each end)
Back roll, 28 lb. (14 lb. at each end)
Single-Boss Common Rolls
Front roll, 44 lb. (22 lb. at each end)
Second roll, 40 lb. (20 lb. at each end)
Third roll, 36 lb. (18 lb. at each end)
Back roll, 32 lb. (16 lb. at each end)
This weighting is subject to some variation, of course,
depending on the character of the stock being run, etc.
SCOURING ROLLS
The cleanliness of the fluted as well as the leather-covered
rolls is an important matter, since if the dirt and other foreign
matter that collects in the flutes and bearings of the rolls is not
removed, considerable waste and consequent loss of production
and bad work will result.
After the rolls have been removed they should be rubbed
with a piece of card fillet in order to remove any dirt, hard
oil, or other substances that may collect in the flutes. After
cleaning the roll in this manner it should be covered with a
paste made of oil and whiting and thoroughly scoured by
rubbing with another piece of card fillet, care being taken
not to rub around the circumference of the roll but length-
wise, so that the wires of the card fillet will follow the
crrooves of the flutes and clean them.
150 COTTON-YARN PREPARATION
After this the roll should be wiped with a piece of dry waste,
covered with dry whiting, in order to thoroughly dry the flute
before the rolls are replaced. In some cases dry whiting is
used in place of the paste. Care should be taken not to allow
any of the whiting to collect in the flutes or bearings of the roll.
After the rolls have been scoured they should be examined
in order to ascertain whether there are any rough places; if any
are found they should be smoothed by using a piece of pumice
stone, a piece of very fine emery cloth, or a fine flute file. In
most cases the pumice stone or emery cloth will be found
sufficient, and the file should not be used unless absolutely
necessary.
DRAWING FRAMES
The drawing frame follows the card, except when combed
yam is being made, when it follows the comber.
The objects of the drawing frame are to lay the fibers parallel
and to correct, so far as possible, any unevenness in the sliver.
These objects are accomplished by drafting and doubling.
The number of drawing frames through which the cotton is
passed is governed by the class of work to be produced and the
number of preceding processes through which the cotton has
passed. If the sliver comes direct from the cards there are
usually two processes for coarse counts, three for medium
counts, and four for fine counts. If the sliver has passed
through the sliver- and ribbon-lap machines and the comber,
there are generally only two processes unless for very high
counts, when three, and even four, are used.
Fig. 1 is a cross-section of one delivery of a drawing frame;
the arrows in this figure indicate the direction in which the
stock passes through the machine. Usually six cans similar to
a are placed behind each delivery, each sliver passing through
the guide b, over the plate c, and the spoon d, there being one
spoon for each sliver. The slivers next pass over another
guide plate e and then to the four sets of rolls, /, /i, /2, /a, where
the necessary draft is inserted. From these drawing rolls the
slivers pass to the trumpet g, where they are combined into one,
then through the calender rolls h, hi, through the coiler tube i,
and to the can j.
COTTON-YARN PREPARATION
151
152
COTTON-YARN PREPARATION
The drawing rolls are of the ordinary type; leather-covered
top rolls are shown in this illustration, although for coarse
work metallic rolls are generally preferred. The top rolls are
weighted in the manner usually adopted for weighting leather-
FiG. 2
covered rolls on drawing frames. The weighting arrangement is
eqtiipped with a weight-relieving motion, as shown at I, h. h, h-
The draft inserted in the sliver by these rolls, though not
arbitrary, is usually about equal to the number of doublings,
thus producing a sliver at the front of about the same weight
COTTON-YARN PREPARATION 153
as each end fed in at the back. If one of the cans at the back
should become empty or if one of the sHvers should break before
reaching the back rolls and the machine should continue to run,
the reduced weight of the sliver delivered at the front would
tend to produce unsatisfactory work at the later processes. As
it is of vital importance to have the sliver that comes from the
drawing frame of a uniform weight, devices are applied to stop
the machine when an end breaks or runs out at the back. Addi-
tional mechanisms are also applied to stop the machine when the
sliver breaks between the front rolls and calender rolls, when
the cans at the front of the machine become full, and in some
cases when any part of the cotton laps around the calender
or the drawing rolls. There are two general classes of
stop-motions applied to drawing frames — ^mechanical and
electrical.
Gearing. — Each head in a drawing frame is driven separately
from any other head in regard to its individual gearing, but
all the heads are driven by the lower or main shaft, which runs
underneath the frame.
Referring to Fig. 2, a gear of 24 teeth on the front roll drives,
by means of suitable gearing, the calender rolls and the coiler
connections. Another gear of 24 teeth, situated on the front
roll, drives the back roll. The gear of 26 teeth on this back
roll drives the third roll. Thus, the draft between these two
rolls is constant, provided that the gears connecting the rolls
are not changed. The gear of 20 teeth on the front roll drives
the second roll, and consequently the draft between these
two rolls is also constant. Thus, it will be seen that the
break draft of this machine comes between the second and
third rolls.
The draft of a drawing frame with common rolls, and geared
as shown in Fig. 2, is as follows, the draft being figured from the
calender roll to the back roll:
2X30X24X100X60
= 5.509
24X45X24X44X11
Production. — The accompanying table shows the number
of pounds of drawing sliver produced in a day of 10 hr., allowing
20% for cleaning, oiling, etc.
154
COTTON-YARN PREPARATION
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COTTON-YARN PREPARATION 161
may be taken directly to the comber. If, however, the lap
from the sliver-lap machine is unrolled for about a yard and
held to the light, it will be seen that the slivers merely lie side
by side, and that the lap is uneven, showing both thick and
thin places. Therefore, to have a more even lap, the ribbon-
lap machine is used. The usual doubling on the ribbon-lap
machine is 6 into 1, and the laps fed are generally 1 in. narrower
than the laps to be made for the comber.
The draft between the front and back drawing rolls usually
about equals the doublings.
Fig. 2 is the plan of gearing for a ribbon-lap machine; the
draft, figured from the front fluted calender roll to the back
drawing roll, with a 50-tooth draft gear, is as follows:
12X30X21X14X20X68X100X70
= 5.923
30X50X21X40X72X25X50X11 ^ .
Production. — The preceding table shows the production
of the ribbon-lap machine per day of 10 hr., allowing 25%
for oiling, cleaning, etc.
COMBER
The several actions of a comber must necessarily work
intermittently and may be summarized as follows: (1) The
feed-motion, by which the lap is fed to the machine; (2) the
nipper motion, which holds the cotton during the combing
operation; (3) the combing operation by the half lap; (4) the
backward and forward motion of the delivery roll, or the
piecing-up motion; (5) combing by the top comb; (6) the
delivery of the stock to the calender rolls, draw-box, and coiler.
Fig. 3 shows in section the principal working parts of the
single-nip comber. In order to bring the cotton into a position
to be combed, it is. first necessary that a certain length shall be
delivered from the lap by the feed-rolls c, ci. After the cotton
has been fed by these rolls, the nipper knife d descends and not
only grips it firmly but also, by depressing the cushion plate h,
brings the fringe of cotton into a suitable position to be acted on
by the needles 07 of the half lap 02. The cylinder 01 is in such
a position that, when the nipper knife d has completed its
downward motion, the first row of needles on the half lap enters
the end of the fringe of cotton, and, as the cylinder revolves, the
successive rows of needles remove all the fibers that are too
162
COTTON-YARN PREPAR.ATION
short to be retained by the nippers, as well as the neps that
have been left in the cotton. After the needles on the half
lap have passed the fringe of cotton, the ends of the fibers fall
into the gap left between the needles and the fluted segment 03,
and the nipper knife, together with the cushion plate, begins
to rise. When the cushion plate has reached its uppermost
position, the further lifting of the nipper knife releases the
fibers at this point. During this operation the portion of the
Fig. 3
cotton previously combed has been brought back and is now
ready to be pieced up with the cotton that has just undergone
the combing operation by the half lap.
The cylinder having revolved until the fluted segment is
in the desired position, the detaching roll g descends and grips
the cotton firmly between itself and the fluted segment. The
further revolving of the fluted segment, together with the
detaching roll, draws away the fibers that are not held by
the grip of the feed-rolls, and since the top comb u has by this
COTTON-YARN PREPARATION 163
time dropped into such a position that it protrudes into the
end of the lap just in advance of the portion that has not been
cleaned by the needles of the half lap, it efficiently combs this
portion of the fibers. At the beginning of this operation the
forward ends of the fibers being combed are carried forwards
sufficiently to overlap the rear ends of the fibers that were
returned; consequently, the forward rotation of the delivery
roll s, which occurs while the detaching roU is in contact with
the segment, assists in piecing up the fibers just detached to
those previously combed, and delivers them into the pan.
It should be clearly understood that all the fibers do not
project from the feed-rolls to the same extent at one time.
For example, some of the fibers may not be gripped by the
feed-rolls at all, while others may project beyond the feed-rolls
a quarter of their length, some half of their length, and some
three-quarters of their length; consequently, when the detach-
ing action takes place, only those fibers that project entirely
beyond the feed-rolls are gripped and drawn forwards by the
action of the detaching roll and fluted segment, and those that
project only partly beyond and are still gripped by the feed-rolls
form a fringe of cotton that is always present in front of the
feed-rolls. At the next delivery of the feed-rolls those fibers
that previously projected only partly beyond the rolls may now
project entirely beyond the rolls, and consequently at the next
detaching operation these fibers will be drawn forwards in a
manner similar to those previously detached.
From the delivery roll, the cotton passes into a pan, through
a trumpet, between the table calender rolls, and is delivered
on to a table, along which it is drawn together with the other
slivers that have been delivered by the various heads of the
comber. Prom the table the slivers pass to a draw-box, where
a slight draft is given to them, after which they pass through a
trumpet and between a pair of calender rolls, where they are
condensed into one sliver. From the calender roUs the sliver
passes to a coiler and then into a can.
Double-Nip Comber. — The cylinder of a double-nip comber
contains two half laps and two fluted segments, and the seg-
ments and half laps are arranged alternately on the cylinder
with slight spaces between them. A comber with a double nip
164
COTTON-YARN PREPARATION
COT'^ON- VARN PREP A RA TION
165
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166
COTTON-YARN PREPARATION
gives a greater production than a comber with a single nip, but
does not clean the cotton so well, because of a smaller number
of needles acting on the fringe.
Calculations. — The gearing of a single-nip comber is shown
in Fig. 4. The draft for the gearing shown, with an 18-tooth
draft change gear, figuring from the 2-in. coiler calender roU to
the 2f-in. lap roU at the back of the comber, is as follows:
2X16X16X60X5X38X22X55X47 ^„ ^„^
= 23.579
16X16X69X1X18X23X20X35X21
As the comber removes a very large percentage of waste
from the cotton that passes through it, it is not possible to
figure accurately the weight of the sliver produced by simply
(f)
Fig. 5
taking into consideration the weight per yard of the lap fed
in, the number of doublings, and the draft of the machine.
An example will make this point clearer.
Example. — Suppose that a comber with a draft of 23.579
has six laps up at the back, each lap weighing 260 gr. per yard,
and it is desired to find the weight per yard of the sliver
delivered.
COTTON-YARN PREPARATION
167
Solution. — Multiplying the weight per yard of the laps fed
in by the ntmiber of laps, and dividing by the draft gives 66.1605
gr. as the weight per yard of the sliver delivered; (260X6)
-7- 23.579 = 66. 1605. If 20%of the cotton that passes through the
machine is taken out as waste, the result obtained above must
be diminished by 20% in order to obtain the actual"weight per
COMBER SETTINGS
Parts to be Set
Gauge
Size of Gauge
Delivery roll from segment .
Front flute of segment from
delivery roll
Comber
Finger
Finger
With paper
Step
Finger
Comber
Brush
Quadrant
Comber
Comber
Comber
No. 23
liin.
Feed-roll from delivery roll
Cushion plate to nipper
knife
According to staple
Distance of setscrew that
governs position of cush-
ion plate
i to f in.
Cushion plate from de-
livery roll
According to staple
Distance of nipper from
half lap when nipper is
in its lowest position ....
Brush to half lap
No. 20
Top comb set at angle of
from 25° to 30°
Top comb from fluted seg-
ment
No. 20 or 21
Distance of lifter blocks
from bearings of detach-
ing roll when resting on
segment
No. 23
Top roll from leather de-
taching roll
No- 21
yard of the sliver delivered; 20% of 66.1605 is 13.2321, which,
deducted from 66.1605, gives 52.9284 as the grains per yard of
the sliver produced.
Production. — The accompanying table shows the ntmiber
of pounds of combed sliver produced per day of 10 hr., by the
single-nip comber, allowing 5% for oiling, cleaning, etc.
Setting of Combers. — The several kinds of gauges used in
setting a comber are shown in Fig. 5, and include the regular
168
COTTON-YARN PREPARATION
comber gauge (a), the step gauge (6), the finger gauge (c), the
quadrant gauge (d) , the cradle gauge (e) , and the brush gauge (/) .
Assuming that a comber has merely been set up and that
the cylinders are loose on the cylinder shaft, the parts that
require setting with gauges and the gauges used for making
each setting are as given in the accompanying table.
The setting of the feed-roll from the delivery roll varies
according to the staple and nature of the stock, as follows:
COMBER FEED-ROLL SETTING
Cotton
Length of Staple
Inches
Size of Gauge
Inches
American
About li
Up to li
1| and longer
lii to m
Egyptian
Hi to IM
Egyptian and sea-island . . .
in to 2
The setting of the cushion plate from the deHvery roll must
be adjusted according to the length of staple, as shown in the
following table:
COMBER CUSHION PLATE SETTINGS
Cotton
Length of Staple
Inches
Size of Gauge
Inches
American
11 to 11
Over 1|
1| to 1^
Egyptian. ...............
1^ to 1|
Sea-island
li to li^
Timing of Combers. — ^The cylinder is taken as a basis for the
timing of a comber, as all the intermittent movements are com-
pleted within the time occupied by one revolution of the cylin-
der. A gear of 80 teeth, on the cylinder shaft, is divided into
twenty equal parts, or sections, which are numbered on the rim
of the gear from 1 to 20, each section containing 4 teeth. This
gear is known as the index gear. A vertical index finger indi-
cates, by its relation to the position of the index gear, the posi-
tion of the cylinder.
COTTON -YARN PREPARATION 169
The numbers are so placed that as the cylinder re-
volves. No. 1 is first brought opposite the index finger,
then No. 2, No. 3, and so on up to 20. Each section of
the index gear is spoken of as a whole number, and
each tooth in a section is spoken of as i; that is, if the
cylinder has revolved until the comber is said to be at
51, it indicates that the index finger is at the second
tooth beyond the section marked 5 on the index gear, or
22 teeth from the starting position.
The actions to be timed are: (1) The motion of the
feed- rolls; (2) the motion of the nippers; (3) the placing
of the detaching roll and top roll in position for detach-
ing; (4) removal of detaching roll from detaching posi-
tion; (5) motions of the delivery roll; (6) movement of
the top comb.
The timings vary somewhat according to the nature of
the cotton, its length of staple, the amount of waste
removed, etc., but are usually adjusted as shown in the
accompanying table:
COMBER TIMINGS
Timings
Feed at
Nipper knife to leave cushion plate at
Nipper knife to touch cushion plate at
Leather detaching roll to touch segment at.
Leather detaching roll to leave segment at.
Delivery roll to reverse at
Delivery roll to deliver at
Top comb down at
Index Gear
4jto6
About 4i
About 9
About 61
About 9J
About li
About 6
5 to 6
SETTING AND TIMING THE WHITIN HIGH-SPEED
(MODEL D2) COMBER
The Whitin high-speed comber operates on the Heil-
mann single-nip principle but embodies improvements
in the construction of its actuating mechanisms that
enable closer adjustments to be made, increased speed
170 COTTON-YARN PREPARATION
and production to be obtained, and better work to be
produced. The following settings and timings apply to
this machine, but are not arbitrary and may require some
alteration to produce the best results with certain grades
of cotton:
Timing Cams. — The actuating cams may be timed by
loosening the 80-tooth gear and throwing it out of mesh.
The cam-shaft is then turned until the roller on the
pawl arm is in contact with the heel of the large cam
on the end of the machine. Next the index gear is
turned until No. 5 is opposite the pointer and then the
80-tooth gear is meshed and secured.
Setting Steel Detaching Roll.— The steel detaching roll
should be free and should be set to the fluted segment
with a No. 21 gauge.
Setting and Timing Cylinders. — The index gear should
be revolved until No. 5 is opposite the indicator and each
cylinder should then be adjusted on the shaft so that
the front edge of its segment is Ig inches from the rear
side of the detaching roll. A li-inch gauge is used to
make this adjustment.
Setting and Timing Leather Detaching Roll.— The
leather detaching rolls should be set so that a No. 25
gauge may be inserted between the flat side of the
bushings on the ends of the rolls and the adjusting
slides. The index gears should be at No. 8 when this
adjustment is made. The cam on the end of the comber
should be adjusted on its sleeve so that the detaching
roll will commence to move forward when No. 6 on the
index gear is opposite the pointer. The comber should
now be turned over and the inside actuating cam ad-
justed so that the detaching roll will move forward at
No. 6.
Setting and Timing Feed-Roll.— The feed-roll should
start to revolve when No. 7^ on the index gear is opposite
the indicator. The feed-roll should be set li inches
from the detaching roll for short stock and Ig inches for
long stock.
COTTON-YARN PREPARATION 171
Setting and Timing the Nippers.— The nipper plates
should be set so that their front edges are gauged with a
No. 22 gauge from the nipper knife lip. The nipper knife
should hold a slip of paper on the full length of the
plate. The nipper knife may be set with an angle of
about 34 degrees by means of the stop-screws. For short
stock the front edge of the plate should be set 11 inches
from the detaching roll and for long stock a setting of
1^^ inches should be made. The nipper frames should
now be leveled with the segment by setting with a No. 19
gauge. Next the nipper frames should be connected with
the nipper shaft and the comber shaft turned until the
index gear is at No. 14i and the first row of needles of
the half lap point directly to the center of the detaching
roll. With the roll in the high part of the nipper cam
under the sliver plate the connecting-rods may now be
adjusted with a No. 25 gauge under the stop-screws.
Also, the nipper frames may now be reset by inserting
a No. 21 gauge between them and the needles. The
nipper cams should be timed so that the nipper knives
touch the plates when No. 11 on the index gear is oppo-
site the pointer.
Setting Top Combs.— The top comb shaft is set 63
inches from the back side of the detaching roll, measur-
ing to the front side of the top comb shaft. The comber
may be turned until the index gear registers No. 8 and
the segment is under the needles of the top comb. The
top comb may be given an angle of about 24 degrees and
set 3^2 iiich from the leather roll for short stock. For
long stock, the combs may be given an increased angle.
The combs should be adjusted to the segment with a
No. 22 or No. 23 gauge.
CARE OF COMBERS
The proper oiling of combers is very important, since
if oil is too freely employed on these machines they
become very dirty and run poorly. On the other hand,
the use of oil in too small quantities causes excessive
172 COTTON-YARN PREPARATION
wear that soon cripples the machines. Combers should be
oiled twice a week, at uniform intervals, and the oiling
should be done under the direct and constant supervision
of a responsible person. Fast running parts should be
oiled every morning. All oil that runs out of oil holes
and over parts of the comber should be wiped off care-
fully. Twice each day, at stated times, comber tenders
should clean around the rolls of the machine with a
finger brush, and clean the backs and fronts and wipe
the lint from the machines. Four times a day, at fixed
periods, the top combs should be cleaned and the floor
swept around the machines.
Twice each week the draw boxes should be thoroughly
cleaned and top rolls replaced with newly-varnished
rolls. Also, the gearing and cams should be cleaned
twice in each week. Every morning the sliver plates,
coiler tops, and draw-box covers should be polished with
whiting. Laps must never be allowed to run out or the
needles of the half laps and top combs will be broken,
while if the laps are inserted at the proper time, the
needles will remain in good condition.
Comber tenders should be instructed to report at once
if a machine is out of order and runs poorly. They are
responsible for two sets of combers arranged in pairs
and should not leave their machines, even temporarily,
without arranging for another tender to care for them
during the absent period. The person in direct charge
of the combers, generally a third hand, should supervise
the tenders, seeing that they oil and clean the machines
isarefully and in accordance with the prescribed schedule.
Combers must not be cleaned when in operation, as
this is liable to result in very serious accidents and also
causes many breakages. Once each week, the third
hand should inspect all half laps and top combs, replac-
ing any that may be found in poor condition. Leather
detaching rolls should be varnished and changed once
each week. Stop-motions should be kept in working con-
dition at all times, and third hands should always respond
quickly to complaints in regard to poor running ma-
COTTON-YARN PREPARATION 173
chines, uneven work, etc. Every Saturday, or at such
other times as the machines are to be stopped for a
considerable period of time, the pressure should be taken
off the rolls with the weight-relieving device. Roller
laps should never be cut from steel rolls with a knife;
instead, a brass hook should be used for removing these
accumulations. Steps should be taken to insure the
production of good laps for feeding combers, for poor
laps cause serious trouble in the combing operation,
damaging the machines and reducing production. The
laps should be sized every day under ordinary conditions,
but on fine counts they should be sized twice a day in
order that they may be kept of uniform weight. The
percentage of waste made should be watched and at
least once a month the percentage of waste of all the
combers should be ascertained.
Combers, sliver-lap machines, and ribbon-lap machines
should be given a thorough scouring and overhauling
once each year. All rolls, aprons, pans, etc., should be
taken off and carefully cleaned. Hoods and casings
should be removed and the gearing given a general
cleaning. The comber should be reset and any worn
parts replaced or repaired.
Waste. — It may be stated that more waste may be re-
moved by feeding at a late period, by nipping later, by
closer settings of the nippers and top combs to the
cylinders, and by increasing the angle of the top comb.
The amount of waste removed when combing different
kinds of cotton should be ascertained often enough to
insure that the proper percentage of waste is being taken
out.
The comber is operated until the doffer comb is at the
lowest part of its swing, after which the waste at the
back is all removed and the sliver broken at the point
where it is leaving the front calender rolls. The comber
is next started and allowed to run until it has made
about 40 nips. The cotton delivered by the front calender
rolls is then kept as one portion, while the waste deliv-
174
COTTON-YARN PREPARATION
ered is taken as another portion. These two portions of
cotton are placed on a pair of scales, Fig. 6, which,
instead of denoting weight, denotes the percentage of
waste.
If the comber is taking out too much or too little
waste, any of the settings and timings regulating the
amount of waste may be changed. The amount of waste
Fig. 6
will vary under the very best circumstances from 1 to
3%, and due allowance should be made for this.
Another method for finding the percentage of waste is
to weigh each portion and add the weight of waste to the
weight of combed cotton and divide this result into the
weight of the waste.
Example. — If 60 gr. of sliver is delivered from a cer-
tain comber in a given number of nips and the waste
amounts to 15 gr., what percentage of waste is being
removed?
Solution.— 60 gr. weight of sliver
. 15 gr. weight of waste
75 gr. total weight
15-r75=.20, or 20%
COTTON-YARN PREPARATION 175
FLY FRAMES
Fly frames have as their objects: (a) the reduction of the
thickness of the sliver, (6) the evening of the product, (c) the
twisting of the roving, (d) the winding of the roving on a bobbin.
Fly frames include slubbers, intermediates, and roving frames
where three frames are used between the drawing and spinning
frames. "Where four frames are used they are generally known
as the slubber, intermediate, roving frame, and jack frame;
in this case the word jack is used to indicate a fine roving
frame sometimes called a jack roving frame. The frame fol-
lowing the intermediates is sometimes called a fine frame. A
much better method of naming the machines is to speak of
the first machine after the drawing as the slubber; the last
machine before the spinning as the roving frame; and the inter-
mediates, if more than one, are spoken of as the first and sec-
ond intermediates, respectively.
All fly frames are practically of the same type. One point
to be noted, however, is that since the roving is gradually
drawn finer at each succeeding process, certain parts of the
intermediate frame should be smaller than similar parts of
the slubber; the same is also true in regard to the roving frame
as compared with the intermediate. With the slubber, the
cans from the drawing frames are placed directly behind the
machine and the sliver fed from the cans; and with the fly
frames that follow the slubber, creels are provided in which to
place the bobbins of roving, which is the form in which the
cotton is delivered by all of these machines.
Slubber. — ^A section of the essential parts of a slubber is
shown in Fig. 1. The cans from the finisher drawing frame are
placed behind the slubber and the sliver 6 passed to the guide
board c. In the slubber, which in this respect is unlike any
of the other fly frames, no doubling takes place, each end of
sliver being treated individually. From the guide board c the
sliver passes over the lifter roll d, through the traverse guide e,
and then through three sets of rolls fs, f2, fi, which insert the
necessary draft. From the drawing rolls, the sliver passes-
through the upper part of the flyer g and then out at its lower
part, where it is wound around an arm supported by the flyer„
176
CO T TON- YA RN PREP A RA TION
COTTON-YARN PREPARATION 177
From this arm, the cotton, which, having been reduced in
size by the drawing rolls of the slubber, is now known as
roving, passes to the bobbin h, on which it is compactly wound.
In the illustration two ends are shown at the front, although
for convenience only one sliver is shown at the back. Each
end shown at the front is produced from a separate sliver fed
behind the frame.
It is necessary to insert a small amount of twist in the roving
after it leaves the front drawing rolls, to enable the fibers to
hold together and withstand the strain of being wound on
the bobbin and unwound at the next process. In fly frames,
the roving is gripped between the front rolls as it is being
delivered, and is also held by the bobbin on which it is being
wound, although as the roving passes through the hole in the
boss of the flyer and down the hollow leg, the top of the
boss of the flyer practically forms the termination of the grip
of the roving at this point. Consequently, the roving may be
considered as being firmly held here, and since the spindle
and flyer are making from 600 to 1,400 rev. per min., the roving
is being twisted all the time. In ascertaining the amount of
twist per inch inserted in the roving, the number of inches of
roving delivered by the rolls during a certain period, and the
number of turns made by the spindle during the same period,
must be obtained. If, for example, the flyer makes 25 revolu-
tions while the rolls deliver 12| in. of roving, there will be
25-4-121 = 2 ttims of twist put into an inch of the roving.
The front rolls of a fly frame rotate at a constant speed;
hence, a uniform length of roving is being constantly delivered.
Suitable means must be provided for winding this roving on
to the bobbin as fast as it is delivered, and the mechanism for
winding must be such that the roving will not be broken or
strained. The roving is wrapped around the bobbin because
of the difference in the velocity of the bobbin and the flyer eye,
since if both revolved in the same direction and at the same
speed the- roving could not be drawn through the eye of the
flyer and wound around the bobbin. In considering the
action of the flyer and bobbin in winding the roving about the
latter, it will be found that there are two methods by which
this is accomplished.
178 COTTON-YARN PREPARATION
\
1. A rotary motion is given to both the flyer and the bobbin,
the speed of the flyer being just sufficiently in excess of that
of the bobbin to wind the roving on to the latter as fast as it is
delivered by the drawing rolls of the frame. Since in this
case the flyer is moving faster than the bobbin, or leading it,
the arrangement is known as a flyer lead, and a frame thus
equipped is called a flyer-lead frame.
2. Another method of winding the roving on to the bobbin
is that in which the bobbin rotates at a speed just sufficiently
in excess of that of the flyer to cause it to wind on the roving
as fast as it is delivered by the drawing rolls. This is the
arrangement that is almost always adopted on modem fly
frames, and since in this case the bobbin rotates faster, or
leads the flyer, it is known as the bobbin-lead method, fly
frames thus equipped being known as bobbin-lead frames.
In both flyer-lead and bobbin-lead fly frames, the speed of
the delivery of the roving and the speed of the flyers are con-
stant. This is necessary, because if the speed of the drawing
rolls were made variable the production of the frame would
be altered, and also because, in order to produce an even roving,
the sliver should be drawn at a regular and uniform speed.
A variable speed of the flyers is impracticable, because this
would produce a variation in the amount of twist in the roving.
In order, therefore, to compensate for the constantly increasing
diameter of the bobbin, a variation must be made in its speed,
so that the tension on the roving during the winding will be
the same whether the bobbin is empty or full. The speed of
the bobbin is regulated and controlled by two mechanisms that
act in combination. One is known as the differential motion,
more commonly called the compound; the other consists of two
cones and connections.
Calculations. — The following examples of necessary fly-
frame calculations apply to the gearing shown in Fig. 2 and
to a bobbin-lead type of frame.
Example 1. — Find the speed of the jack-shaft when the main
shaft makes 300 rev. per min. and carries a 20-in. pulley driving
a 16-in. pulley on the jack-shaft.
300X20
Solution. — -. — = 375 rev. per min. of jack-shaft
COTTON- YARN PREPARA TION
179
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180 COTTON-YARN PREPARATION
Example 2. — Find the revolutions per minute of the top-
cone shaft when the jack-shaft makes 375 rev. per min. and
carries a 38-tooth twist gear driving a 48-tooth gear on the
top-cone shaft-
Solution. —
375X38
= 296.875 rev. per min. of top-cone shaft
48
Example 3. — ^Find the revolutions per minute of the front
roll when the top-cone shaft makes 296.875 rev. per min. and
carries an 86-tooth gear driving a 120-tooth gear on the front-
roll shaft.
296.875X86
Solution. — = 212.76 rev. per min.
120
Example 4. — Find the length of roving delivered per minute
by the front roll when it is 1.25 in. in diameter and makes 212.76
rev. per min.
Solution. —
212.76X1.25X3.1416
=23.208 yd. per min.
36
Example 5. — Find the number of revolutions of the spindles
to 1 revolution of the jack-shaft when the jack-shaft carries a
42-tooth gear driving a 42-tooth gear on the spindle-gear shaft,
which carries a 46-tooth gear driving a 24-tooth gear on the
lower end of the spindle.
Solution. —
1X42X46
= 1.916 rev. of spindles to 1 rev. of jack-shaft
42X24
Example 6. — Find the revolutions per minute of the spindles
when the jack-shaft makes 375 rev. per min. and the spindles
make 1.916 turns to one of the jack-shaft.
Solution. —
375X1.916 = 718.5 rev. per min. of spindles
The twist, or turns, per inch in the roving may be found by
the following rules:
Rule I. — Divide the revolutions per minute of the spindles by
the length of roving, in inches, delivered by the front roll in the
same time.
COTTON-YARN PREPARATION 181
Example. — Find the turns per inch being placed in the
roving if the spindles make 718.5 rev. per min. and the front roll
delivers 23.208 yd. per min.
Solution.— 23.208X36 = 835.488 in. per min.; 718.5
-i- 835.488 = .859 turn per in.
Rule n. — Taking into consideration all the gears, with the
exception of the carrier gears, from the front roll to the spindles,
assume that the front-roll gear is a driver. Multiply together
all driving gears and divide by the product of all the driven gear.
Divide the quotient thus obtained by the circumference of the front
roll. )
Example. — Find the turns per inch being inserted in the
roving with the following arrangement of gears: the front roll
is 1.25 in. in diameter; front-roll gear has 120 teeth; gear on end
of top- cone shaft, 86 teeth; top-cone gear, 48 teeth; twist gear,
38 teeth; jack-shaft gear, 42 teeth; spindle-shaft gear, 42 teeth;
gear on spindle-shaft that drives spindle, 46 teeth; gear on
spindle, 24 teeth.
Solution. —
120X48X42X46 3.378
= 3.378; = .86 turns per in.
86X38X42X24 1.25X3.1416
The constant for twist may be found by the following rule:
Rule. — Apply Rule II, for finding the twist, considering the
twist gear as a 1 -tooth gear.
Example. — Find the constant for twist, using the train ot
gearing given in the preceding example for finding the twist.
Solution. —
120X48X42X46
— =128.372;
86X1X42X24
128.372
■ = 32.689, constant dividend for twist
1.25X3.1416
The constant dividend divided by the twist gear equals the
twist per inch; thus, 32.689 ^38 = .86, twist per in.
The speed of the bobbins may be found by the following rule:
Rule. — Find the amount of roving wound on the bobbins per
minute and divide by the circumference of the bobbin. Add the
result thus obtained to the speed of the spindles per minute, and
the answer is the speed of the bobbins per minute.
182 COTTON-YARN PREPARATION
Example 1. — Find the speed of the bobbins at the beginnixig
of a set when the diameter of the bobbin is 1.75 in.; the speed
of the spindles, 718.5 rev. per min. ; and the front roll delivers
835.488 in. per min.
835.488
Solution. — = 151.967 rev. per min. of bob-
1.75X3.1416
bins over speed of spindles. Speed of the spindles, 71S.5 rev.
per min.; speed of bobbins over that of the spindles, 151.967.
718.5-1-151.967 = 870.467, speed of bobbins at beginning of set.
Example 2. — Find the speed of the bobbins at the finish of a
set when the diameter of the full bobbin is 6. 125 in. ; the speed
of the spindles, 718.5 rev. per min.; and the front roll delivers
835.488 in. per minute.
835.488
Solution. — = 43.419 rev. per min. of the
6.125X3.1416
bobbins over the spindles. The number of revolutions per
minute of the spindles is 718.5; the speed of the bobbins over
that of the spindles is 43.419. 718.5+43.419 = 761.919 rev. per
min. of bobbins at the finish of a set.
The reduction of the speed per minute of the bobbins from
an empty bobbin to a full bobbin in the above case is 870.467
— 761.919 = 108.548 revolutions.
The draft of a fly frame is calculated in the usual manner.
Example 1. — Find the total draft of the rolls shown in Fig.
2, using a 44-tooth draft gear.
1.25X100X56
Solution. — =3.977, total draft
40X44X1
The constant for draft is found in the same manner as the
total draft, except that the draft gear is considered as a 1-tooth
gear.
Example 2. — Find the draft constant for the rolls shown in
Fig. 2.
1.25X100X56
Solution. — = 175, constant
40X1X1
Example 3. — ^Pind the draft between the second and third
rolls.
1X25
Solution.— = 1.086, draft
23X1
COTTON -YARN PREPARATION 183
Example 4. — Find the draft between the front ^nd second
rolls if the draft gear contains 44 teeth.
1.25X100X56X23
Solution. = 3.659, draft
40X44X25X1
Change Gears. — In changing from one hank roving to
another some or all of the following gears must be altered (the
reference letters apply to Fig. 2) : (1) the twist gear mz, which
alters the speed of the rolls and regulates the turns of twist-
placed in the roving?; (2) the tension gear y^, which regulates,
the movement of the belt along the cones; (3) the draft gear i,
which alters the hank of the roving delivered ; (4) the taper gear
x^, which alters the taper of the bobbin; (5) the lay, or traverse,
gear v^. Which alters the speed of the traverse of the carriage.
The most important change to make is in the draft change
gear, which regulates the size of the roving. It is generally
customary at the same time to change the twist gear, because
this should vary with every change in the hank of the roving.
The tension gear is also frequently changed. It is not custom-
ary, however, to change the lay gear unless the change in the
hank of the roving is extensive. If the slubber roving is
changed .3 hank, the first intermediate roving .5 hank, the
second intermediate roving .75 hank, or the finished roving
a whole hank, the lay gear will ordinarily be changed.
It is seldom that the taper gear is changed in the mill , since
the gear that is placed on the frame by the builders usually
serves for the range of roving that the frame is intended for.
The following rules apply to the method of figuring the
different change gears when the gears that are on the frame
and the hank roving being produced are known. From the
calculations previously given it is possible to obtain the draft
and twist gears without this data, but for the tension and lay
gears this data is always necessary, since the correct gear for
starting up a frame was obtained by the builders largely by
experiment and not by calculation. Even when the gear to
use for a certain hank roving is known, the calculated gear for
another hank does not always give satisfactory results, since
the changing of these gears is largely a matter of experience and
observation, owing to a number of different items affecting the
results produced by them.
184 COTTON-YARN PREPARATION
To find the draft gear to be used for a certain hank roving
when the draft gear that is on and the hank roving that it pro-
duces are known:
Rule. — Multiply the draft gear being used by the hank roving that
it produces, and divide the result by the hank roving that is to be made.
Example. — If 4-hank roving is being produced with a 32-
tooth draft gear, what draft gear will a 6-hank roving require?
Solution. — 32 X 4 = 128; 128 -^ 6 = 21.333, or practically a
21-tooth draft gear
To find the twist gear to be used for a certain hank roving
when the twist gear that is on and the hank roving that is pro-
duced are known:
Rule. — Multiply the square root of the hank being made by
the twist gear, and divide by the square root of the hank required.
In examples in which the diameter of the roving affects the
size of the gear to be used it is necessary to consider the square
roots of the hanks, since the diameters of rovings vary inversely
as the square roots of their hanks.
Example. — If .36-hank roving is being made with a 54-tooth
gear, what twist gear is required for a .64-hank?
Solution.— V:36 = .6; -N/T64 = .8; .6X54 = 32.4; 32.4-^.8
= 40.5. Either a 41-tooth or a 40-tooth gear may be used.
To find the tension gear to be used for a certain hank roving
when the tension gear that is on and the hank roving that is
produced are known, the frame having the American type of
builder:
Rule. — Multiply the square root of the hank being made by the
tension gear, and divide by the square root of the hank required.
Example. — If .36-hank roving is being made with a 50-tooth
tension gear, what tension gear is required for a .64-hank?
Solution.— Af:36 = .6; -N/:6i = .8; .6X50 = 30; 30-^.8
= 37.5. Either a 37-tooth or a 38-tooth gear may be used.
To find the tension gear to be used for a certain hank roving
when the tension gear that is on and the hank roving that is pro-
duced are known, the frame having the English type of builder:
Rule. — Multiply the square root of the hank required by the
tension gear, and divide by the square root of the hank being made.
Example. — If .36-hank roving is being made with a 20-tooth
tension gear, what tension gear is required for a .64-hank?
COTTON-YARN PREPARATION 185
Solution.— Vise = .6; Vj64 = .8; .8X20=16; 16-^.66
= 26.666. A 27-tooth gear would be used.
To find the lay gear to be used for a certain hank roving when
the lay gear that is on and the hank roving that is produced are
known:
Rule. — Multiply the square root of the hank being made by
the lay gear, and divide by the square root of the hank required.
Example. — If .36-hank roving is being made with a 33-tooth
gear, what lay gear is required for a .64-hank?
Solution. — Vi36 = .6; Vi64 = .8; .6X33 = 19.8; 19.8-^.8
= 24.75. A 25-tooth gear should be used.
Production. — To find the production of a fly frame, in pounds:
Rule. — Multiply the hanks per spindle, as indicated by the
hank clock, by the number of spindles, and divide by the hank
roving.
Example. — A clock on a 72-spindle frame registers 75 hanks
of .5-hank roving turned off in a week. What is the production
in pounds?
75X72
Solution.— = 10,800 lb.
.5
Average Hank. — To find the average hank, or average num-
ber, of the roving when several hanks are being run:
Rule. — Multiply the pounds of each hank produced by the
number of the hank, and divide the sum of the products thus
obtained by the sum of the pounds produced.
Example.— If 1,800 lb. of .50-hank, 700 lb, of 1.50-hank,
850 lb. of 2-hank, 800 lb. of 2.25-hank, 750 lb. of 4-hank, and
700 lb. of 10-hank are produced in a week, what is the average
hank of the roving?
Solution. —
Total
1,8 00 X .5 =
900
700 X 1.5 =
1,0 5
8 5 X 2.0 =
1,7
8 00 X 2.2 5 =
1,8
7 5 X 4.0 =
3,0
7 X 1 0.0 =
7,0
5,6 lb.
1 5,4 5 hanks
15,4504-5,600 = 2.758, average hank
186
COT TON -YARN PREPARATION
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1 Weight of 10
Travelers
in Grains.
o
p
few
O w
as
1^
Weight of 10
Travelers
in Grains.
4
4950
2"
14
39
32
9500
If"
7-0
5i
6
5900
2
12
33
34
9600
If
9-0
5
8
6700
2
9
23
36
9700
11
11-0
4^
10
7250
2
8
20
38
9800
If
13-0
4
11
7500
2
7
18
40
9700
If
14-0
31
12
7750
2
6
16
45
9700
11
15-0
31
13
7950
2
6
16
50
9700
U
16-0
3i
i 14
8100
2
5
14
55
9600
u
16-0
3i
15
8300
2
4
13
60
9600
u
17-0
3
16
8450
2
3
12
65
9600
u
17-0
3
17
8600
2
2
11
70
9500
1§
18-0
2f
18
8750
2
1
10
75
9500
u
18-0
2f
19
8850
2
1-0
9
80
9300
1*
19-0
21
20
8900
2
li-0
8i
85
9100
n
19-0
21
21
9050
2
2-0
8
90
9100
If
20-0
2i
22
9100
2
3-0
7i
95
9000
If
21-0
2
23
9150
2
4-0
7
100
8700
If
22-0
If
24
9200
2
5-0
6i
110
8500
If
23-0
11
28
9500
If
6-0
6
is flattened, rolled, and annealed, after which it is cut and bent
on automatic machines to the shape desired. The travelers
are then hardened, tempered, scoured, and polished, each
process requiring the greatest skill and exactness.
Travelers are numbered by one maker, as shown in the
accompanying table.
It is impossible to give a definite rule by whicii to find the
weight of traveler to use for certain counts of yam. The
194
COTTON- YARN PREPARA TION
following are general principles, however: (1) A larger ring
requires a lighter traveler. (2) A coarser yarn requires a
heavier traveler. (3) Putting more twist into the yam may
require a heavier traveler. (4) A better grade of stock will
stand a heavier traveler. (5) Old rings require heavier trav-
elers than new ones. (6) During moist, sticky weather trav-
elers run hard and fly off; under these circumstances a lighter
TRAVELERS FOR FILLING YARN
u
^ >
o
■"* to CO
U r-<
-9 rt
•I1
Is
(-1
o
'-' tn to
it
^o
it
O
Weight
Trave
in Gri
1"^
(^ o
i'2
O
Weight
Trave
in Gr;
4
4000
li"
16
44
32
7900
If"
9-0
5
6
4800
1*
13
36
34
7900
If
11-0
41
8
5450
U
10
26
36
7900
If
13-0
4
10
5950
11
8
20
38
7900
If
14-0
3f
11
6150
11
7
18
40
7900
li
15-0
31
12
6350
11
6
16
45
7900
U
16-0
3i
13
6500
11
5
14
50
7900
U
17-0
3
14
6700
11
4
13
55
7900
IJ
17-0
3
15
6850
11
3
12
60
7900
li
18-0
21
16
6950
H
2
11
65
7800
li
18-0
2f
17
7100
n
1
10
70
7800
li
19-0
2|
18
7200
n
1-0
9
75
7800
li
19-0
2|
19
7300
11
2-0
8
80
7700
li
20-0
2i
20
7400
u
4-0
7
85
7600
li
20-0
2i
21
7500
u
4-0
7
90
7400
li
21-0
2
22
7600
n
5-0
6*
95
7400
li
22-0
If
23
7700
1*
5-0
61
100
7200
li
23-0
U
24
7800
1*
6-0
6
110
6900
li
24-0
li
28
7900
If
7-0
5i
traveler should be used. (7) Short stock, weak staple, or
heavily-drafted yarns require a lighter traveler than the same
numbers spun under better conditions. (8) The higher the
speed the lighter the traveler, and vice versa; the variation is
in the proportion of one or two grades of travelers to each 1,000
rev. of spindle. (9) Without separators a few grades heavier
traveler will be required.
COTTON-YARN PREPARATION
195
The accompanying tables are given as guides in selecting the
size of traveler to be used for warp and for filling yarns.
Spindles. — The spindles form one of the most important
parts of a ring spinning frame, and on them depends to a great
extent the successful and economical operation of ring spinning
frames. The modem ring-frame spindle is known as a gravity
spindle, sometimes called a top, an elastic, or sl flexible spindle,
which indicates that it is allowed to find its own best center of
rotation within certain limits, thus reducing or removing the
liability of excessive vibration and wear. The older style of
spindle was a rigid spindle, and this vibration and wear was
a frequent occurrence when the spindle became slightly out
of balance.
SIZES
OF
BOBBINS
Diameter of Barrel
Number of Yam
Warp
Inch
Filling
Inch
4s to 16s
16s to 30s
30s to 40s
40s to 100s
3
4
3
I
4
1
1
i
Bobbins. — The bobbin should fit the top of the spindle
closely, but not tightly, and should fit snugly the sleeve bearing
for a distance of about f in. Where a cup is used it should
project into the cup about | in. The accompanying table gives
suitable sizes of bobbins for various numbers of yam, both
warp and filling, assuming that the proper size of ring is used.
A larger ring requires a larger bobbin.
Dimensions. — The length of the traverse should be less for
fine yams than for coarse yams; 5| in. is about the average,
7 in. being about the maximtmi traverse and 4f in. the mini-
mum. The speed of the spindle has to be higher in making
fine yams than in the case of coarse yams and higher for warp
yams than for filling yams, because the additional amount of
196
COTTON-YARN PREPARATION
twist that has to be put in the fine yam or warp yam will
seriously reduce the speed of the front roll, and consequently
the production of the frame, if the spindle speed is not high.
DIMENSIONS OF R]
[NG
SPINNING FRAMES
Warp
U
>H
•4-1
O
u
(D
a
Filling
Gauge
of
Spindles
Inches
Diam-
eter of
Ring
Inches
Length
Traverse
Inches
Gauge
of
Spindles
Inches
Diam-
eter of
Ring
Inches
Length
of
Traverse
Inches
3i
2i
7
4
9
10
11
15
16
17
20
21
25
26
27
28
30
31
35
36
37
39
40
41
44
45
50
51
60
70
80
2f
If
21
3
11
6i
2
u
6
If
If
6
If
1§
5§
5i
If
u
5
5
The accompanying table indicates approximately the cus-
tomary gauge of the spindles, the diameter of the rings, and the
lengfth of traverse for the principal numbers of warp and filling
yams between 4s and 80s.
COTTON- YARN PREPARA TION
ly;
The term gauge used in connection with spinning frames
implies the distance from the center of one spindle to the center
of the next spindle in the same row. Frames are usually built
Fig. 2
with from 160 to 288 spindles, although they may be built with
a greater or less number. In speaking of the number of spindles
of a ring frame, both sides are included; consequently, a frame
of 288 spindles would have 144 spindles on a side.
198 COTTON-YARN PREPARATION
Calculations. — Speed calculations for ring frames are illus-
trated, by the following examples:
Example 1. — Find the speed of the cylinder n. Fig. 2, when
the driving shaft makes 400 rev. per min. and carries a 30-in.
pulley that drives a lOf -in. pulley on the cylinder shaft w.
Solution. —
400X30
=1,116.279 rev. per min.
lOf
Example 2. — If the cylinder n. Fig. 2, makes 1,116.279 rev.
per min., find the speed of the. front roll shaft ws.
Solution. —
1,116.279X42X22X45
=116.279 rev. per min.
42X88X108
Example 3. — If the cylinder n. Fig. 2, is 7 in. in diameter
and makes 1,116.279 rev. per min., find the speed of the spindles
if the whorl around which the band passes is il in. in actual
diameter.
Note. — In connection with finding the speed of spindles a
question arises as to where the diameter of the whorl should
be taken. It is customarily taken at the bottom of the groove,
although theoretically the diameter should be considered a
little larger than this, in order to allow for the thickness of the
spindle band; consequently, the calculation should be made
with the diameter taken at the center of the band, about xt in.
being added to the diameter of the whorl in order to make
allowance for this, this dimension being termed the working
diameter.
Solution. — if in.+^ in. = 11 in., working diameter of
whorl.
1,116.279X7
= 9,617.172 rev. per mm.
16
Note. — The question of slippage also arises in connection
with the speed of the spindles. This is a variable quantity,
depending on the tension of the bands, the oiling of the spindles,
the number of the yarn being spun, the weight of the travelers,
and other factors. The loss from the calculated speed of the
spindles, due to slippage, will vary from 5 to 10%, but as 5%
is the customary allowance it will be adopted in these calcu-
lations. Making this allowance, example 3 would be com-
pleted as follows:
100%-5%=95%,or .95
9,617.172 X .95 = 9,136.313 rev. per min.
COTTON-YARN PREPARATION 199
To find the speed of the traveler when the speed of the-
spindle, the speed of the front roll, and the diameter of the
bobbins are known:
Rule. — Find the number of revolutions per minute of the bob-
bin necessary to take up the amount of yarn delivered per minute
by the front roll. Subtract this number of revolutions per minute
of the bobbin from the revolutions per minute of the spindle.
Example. — If the spindles make 9,136.313 rev. per min. and.
the front roll delivers 365.302 in. per minute, what is the speei
of the travelers when the bobbins are | in. in diameter?
365.302
Solution. — ■ =132.890, the rev. per mm. of bob-
1X3.1416
bins necessary to take up amount delivered by front roll.
9,136.313-132.890 = 9,003.423 rev. per min. of traveler
Twist calculations for ring frames are not entirely accurate
on account of several variable factors that affect the amount of
twist in the yam.
To find the turns of twist per inch being placed in the yarn:
Rule I. — When figuring from the gears, consider the gear
on the end of the front roll as a driver. Multiply all the driving
gears and the diameter of the cylinder together and divide by the
product of all the driven gears, the working diame er of the whorl,
and the circumference of the front roll.
Example 1. — ^What is the twist per inch that is being placed
in yam spun on a frame geared as shown in Fig. 2, if the
diameter of the front roll is 1 in., the cylinder 7 in., and the
working diameter of the whorl xf in?
Solution. —
108X88X42X7
= 26.326, turns per in.
45X22X42XHX3.1416X1
Rule II. — In case the speed of the spindles and the number of
inches of yarn delivered by the front roll are known, divide the
speed of the spindles, without any allowance for slippage, by the'
inches delivered per minute by the front roll.
Example 2. — ^What is the twist per inch that is being inserted
in yam if the spindles make 9,617.172 rev. per min. and the
front roll delivers 365.302 in. per min.?
Solution.— 9,617.172^365.302 = 26.326, tums per in.
200 COTTON-YARN PREPARATION
To find the constant for twist from the gears:
Rule. — Consider the gear on the end of the front roll as a
driver and the twist gear as a 1 -tooth gear. Multiply together
all the driving gears and the diameter of the cylinder and divide
by the product of all the driven gears, the working diameter of
the whorl, and the circumference of the front roll.
Example. — ^What is the constant for twist with the frame
geared as shown in Fig. 2, if the diameter of the front roll is
1 in., the cylinder 7 in, and the working diameter of the
whorl xf iO"
Solution. —
108X88X42X7
— = 1,184.697, constant
1X22X42XMX3.1416X1
To find the twist per inch when the constant for twist and
the twist gear are known:
Rule. — Divide the constant by the number of teeth in the twist
gear.
Example. — ^What is the twist per inch that is being inserted
in yam if the constant for twist is 1,184.697 and the twist gear
contains 45 teeth?
Solution. — 1,184.697-7-45 = 26.326, turns per in.
To find the necessary twist gear to give a required number
of turns per inch when the constant is known:
Rule. — Divide the constant by the twist required.
Example. — If the constant for a train of gears is 1,184.697*
what size twist gear will be required to give 20 turns per inch
in the yam?
Solution. —
1,184.697-7-20 = 59.2, or a 59-tooth gear (practically)
The calciilations given in connection with twist make no
allowance for any slippage that may occur, or for any loss
caused by the traveler speed being slightly less than the
spindle speed. These points are sometimes taken into con-
sideration, although the contraction of the yarn, due to the
twist inserted, generally compensates for any loss due to
these causes.
In determining the amount of twist to be placed in either
warp or filling yam spun on a ring frame, a constant is used
that multiplied by the square root of the coimts gives the
COTTON- YARN PREPARA TION
201
required number of turns per inch. For ordinary warp yam
spun on ring frames the constant is usually 4.75, but for
filling it is 3.25. These figures, however, are varied accord-
ing to the twist required, the quality of the yam to be made,
or the kind of stock being used. Long stock does not require
so much twist in proportion as short stock. Filling yam from
carded stock requires, as a rule, from 1| to 2| turns per inch
more twist than the square root of the counts multiplied by
120
lOS
30^
Draft Change.
Crtar
l"iia
*«r
Pig. 3
3.25. On combed stock the standard number of turns is suffi-
cient, since combed stock does not require so much twist for
the same nvunbers as carded stock. Fine filling yams or yams
for twisting are spun with less twist than 3.25 times the square
root of the counts.
Example 1. — ^What is the standard twist in 28s warp yam?
Solution. —
-V28 = 5.291. 5.291X4.75 = 25.132, tums per in.
. Example 2. — ^What is the standard twist in 36s filling yam?
Solution.-— >/36 = 6. 6X3.25 = 19.5, tums per in.
202
COTTON-YARN PREPARATION
Draft calculations are of importance in connection with
ring spinning frames, as the draft together with the hank of
the roving, governs the size of the yam produced.
Example 1. — Find the draft for rolls geared as shown in
Fig. 3.
1X120X84
Solution.— = 10.971 , draft
30X35X1
Example 2. — Find the draft constant for the rolls when
geared as shown in Fig. 3.
1X120X84
Solution. — -=384, constant for draft
30X1X1
To find the hanks per spindle produced per day:
Rule. — Divide the product of the circumference of the front
roll, the number of revolutions per minute of the front roll, the
minutes per hour, and the hours per day by the product of the
number of inches in 1 yd. and the number of yards in one hank.
ALLOWANCES ON CALCULATED PRODUCTION OF
RING SPINNING FRAMES
Warp Yarn
Filling Yarn
Numbers
Allowance
Per Cent.
Numbers
Allowance
Per Cent.
5s to 10s
lOs to 20s
20s to 30s
3Cs to 40s
40s to 55s
55s to 85s
85s to 100s
11
10
9
8
7
4
2
5s to 10s
10s to 15s
15s to 20s
20s to 30s
30s to 35s
35s to 45s
45s to 60s
14
12
11
10
8
7
6
Example. — How many hanks per spindle, per day of 10 hr.,
will be produced by a frame with a front roll 1 in. in diameter
that makes 116.279 rev. per min.?
1X3.1416X116.279X60X10 ^ , ,
SOLUTION.- 36X840 -=7.248 hanks
COTTON-YARN PREPARATION
203
When figuring the production of ring frames from the speed
of the front roll it is necessary to make certain allowances,
since the frame is not running continually, owing to the stop-
pages necessitated by cleaning, oiling, and doffing. These
allowances will vary with the yam spun, since coarse yam
requires more frequent doffing than fine yarn, owing to the
PRODUCTION OF WARP SPINNING FRAMES
Weight
Rev.
of
Front
Roll
Rev.
Hanks
Pounds
Number
of Yarn
per
Yard
Twist
per
T 1
9f
Spindle
per
Day
per
Day
in
Inch
per
per
per
Grains
per
Minute
Minute
Spindle
Spindle
10
.833
15.02
146.2
6.900
8.295
.829
12
.694
16.45
143.2
7,400
8.214
.685
14
.595
17.77
139.7
7,800
8.013
.572
16
.521
19.00
137.3
8,200
7.875
.492
18
.463
20.15
134.2
8,500
7.698
.428
20
.417
21.24
131.8
8,800
7.560
.378
22
.379
22.27
128.6
9,000
7.376
.335
24
.347
23.27
124.5
9,100
7.141
.298
26
.320
24.22
122.2
9,300
7.085
.272
28
.297
25.13
117.8
9,300
6.830
.244
30
.277
26.02
115.0
9,400
6.668
.223
32
.260
26.87
112.4
9,500
6.516
.205
34
.245
27.69
109.1
9,500
6.326
.186
36
.231
28.50
106.1
9,500
6.218
.173
38
.219
29.28
103.2
9.500
6.048
.159
40
.208
30.04
100.6
9,500
5.896
.147
42
.198
30.78
98.2
9,500
5.755
.137
44
.189
31.50
96.0
9,500
5.626
.128
46
.181
32.21
93.8
9,500
5.556
.121
48
.174
32.90
91.9
9,500
5.443
.113
50
.166
33.58
90.9
9,600
5.384
.108
bobbins being tilled more rapidly. The accompanying table
gives the allowances usually made for different counts of yam.
To find the total production, in pounds, of several frames
when the number of hanks produced by each spindle is known:
Rule. — Find the production, in pounds, of each frame by
multiplying the number of spindles in the frame by the hanks
Produced by each spindle and dividing the result by the counts
being spun. Add the results obtained for each frame.
204
COTTON-YARN PREPARATION
Example. — If four frames of 160 spindles produce, respect-
ively, 37 hanks per spindle c^f 36s, 33 hanks per spindle of 50s,
28 hanks per spindle of 70s, and 27 hanks per spindle of 80s,
in 1 wk., what is the total production for the week?
160X37
Solution. —
36
= 154.4'
14 ib. o
160X33
50
= 105.6 lb. of i
160X28
70
= 64 lb.
of 70s
160X27
= 54 lb.
of 80s
80
164.444 + 105.6+64+54 = 388.044 lb., total production for 1 wk.
PRODUCTION OF FILLING SPINNING FRAMES
Weight
Rev.
of
Rev.
Hanks
Pounds
Number
of Yarns
per
Yard
Twist
per
Front
Roll
of
Spindle
per
Day
per
Day
in
Grains
Inch
per
Minute
per
Minute
per
Spindle
per
Spindle
10
.833
10.27
161.2
5,200
8.945
.894
12
.694
11.26
158.2
5,600
8.778
.731
14
.595
12.16
156.9
6,000
8.706
.622
16
.521
13.00
155.4
6,350
8.719
.545
18
.463
13.79
152.2
6,600
8.540
.476
20
.417
14.53
148.8
6,800
8.444
.422
22
.379
15.24
146.1
7,000
8.290
.376
24
.347
15.92
139.9
7,000
7.938
.331
26
.320
16.57
138.2
7,200
7.927
.305
28
.297
17.20
134.1
7,250
7.692
.275
30
.277
17.80
129.6
7,250
7.514
.250
32
.260
18.38
126.3
7,300
7.323
.229
34
.245
18.95
122.4
7,300
7.097
.208
36
.231
19.50
119.1
7,300
6.980
.194
38
.219
20.03
117.6
7,400
6.892
.181^
40
.208
20.55
115.4
.7,450
6.835
.171
42
.198
21.06
113.3
7,500
6.711
.160
44
.189
21.56
110.7
7,500
6.557
.149
46
.181
22.04
108.3
7.500
6.414
.139
48
.174
22.52
105.9
7,500
6.272
.131
50
.166
22.98
103.9
7,500
6.218
.124
COTTON-YARN PREPARATION 205
To find the average number of yarn being produced:
Rule. — Multiply the number of pounds produced by each
frame by the counts of yarn being spun. Add the results thus
obtained and divide by the total number of pounds.
Example. — ^What is the average number of yam being spun
if fotir frames produce, respectively, 164.444 lb. of 36s, 105.6
lb. of 50s. 64 lb. of 70s, and 54 lb. of 80s?
Solution.— 1 6 4.4 4 4 X 36 = 5 9 1 9.9 8 4
1 5.6 X 50 = 5 2 8 0.0
6 4.0 X 70 = 4 4 8 0.0
5 4.0 X 8 = 4 3 2 0.0
3 8 8.0 4 4 1 9 9 9 9.9 8 4
19,999.984-^38S.044 = 51.540s, average number of yam
MULE SPINNING
The chief difference between the ring spinning frame and
the mule is that the former is a constant, and the latter an
intermittent, spinning machine. There is also a difference
in the form in which the yam is produced. The ring spin-
ning frame winds it on a wooden or paper bobbin, and the
mule produces yarn in the form of a cop. In the mechan-
ism by which the yam is produced, the ring spinning frame
differs very considerably from the mule; in fact, the two
machines are radically different in principle, construction,
and operation.
The mule has three principal objects: (1) the reduction of
the roving to the counts of yam desired; (2) twisting the yarn
to give it sufficient strength for the purpose intended; (3) wind-
ing the yam in suitable form for use at the next process.
A sectional view of the essential parts of the mule is given
in Fig. 1. Generally speaking, the machine proper consists
of a headstock, which contains most of the mechanism for opera-
ting the various parts; a creel b for holding the roving that is
to be drawn and converted into yam; drawing rolls c, ci, a
for inserting the required amount of draft to reduce the size
of the roving; and a carriage d that carries spindles far twisting
and winding the yam, a cylinder for driving the spindles, and
206
CO T TON- YA RN PREP A RA TION
COTTON-YARN PREPARATION 207
fallers for guiding the yam on to the spindles and keeping it
under tension during winding.
The bobbins of roving bi from the last fly-frame process are
placed in the creel b and the ends conducted to the drawing
rolls C2, ci, c, through which they pass, in order that they may
be drafted as required. After leaving the front drawing rolls,
the stock passes to the spindles di, which are carried by the
carriage. The carriage recedes from the rolls, as the stock is
being delivered, but after the rolls cease to deliver, it returns.
When the rolls first commence to deliver, the spindles occupy
position (a), shown in dotted lines, and gradually recede in
the direction shown by the arrow, until position (fc) is reached,
when the rolls stop delivering and the carriage ceases to naove
outwards. The extent of the outward movement of the car-
riage, known as the draw, or stretch, varies from 53 to 68 in.,
the general length being about 62 or 64 in.
During the outward run of the carriage, the spindles are
revolving and inserting twist in the yam, which is accomplished
by having the upper ends of the spindles slightly below the
delivering point of the rolls, as shown by the dotted lines in
position (a) , and the spindles inclined, with the upper end nearer
the rolls than the lower.
Since the spindle is inclined toward the rolls and is revolving
as the stock is being delivered, a few open spirals of yam are
wound on its blade between the nose, or upper end, of the cop
and the point of the spindle. If the spindle were extended, the
yam would wind on it in open spirals until it formed a right
angle with the spindle; but since the spindle is not thus
extended, after the coils of yam have reached its upper end,
every time it makes one revolution the upper coil is slipped
off just as it is being completed, thus inserting one turn of
twist in the yam. The spindles by receding from the rolls
keep the yam under tension as it is being delivered, and since
they are continually revolving dixring this time, they are
continually inserting twist. The inclination of the spindles
assists in allowing the yarn to pass easily over their ends,
especially when the carriage is near the end of its outward
run, as the angle between the yam and the spindles approaches
nearer to a right angle than when the carriage is first starting
20S COTTON-YARN PREPARATION
out. This is shown by positions (a) and (&). The spindles
are driven by bands passing around the revolving cylinder d2
and the whorls on the spindles.
While the carriage is running out, the fallers di, ds, known
as the winding and counter fallers, respectively, are not in con-
tact with the yam, but occupy the positions shown, the wind-
ing-faller wire being above the yam and the counter-, or ten-
sion-, faller wire, below. The winding faller is for the purpose
of guiding the yam on to the spindles in the proper form to
build up a cop, while the counter faller keeps the yam under
tension dtiring winding.
When the carriage has reached position (6), the spindles
and rolls are stopped and the spinning is completed. In order
that the yam may be wound on the spindles, the open coils
of yam between the nose of the cops and the ends of the
spindles must be unwound; this is done by causing the spindles
to make a few revolutions in the opposite direction to that in
which they revolve during spinning and winding, and is known
as backing off. After the open coils are entirely unwound,
the spindles stop revolving in this direction, the fallers in the
meantime having assumed their proper positions for winding.
Winding commences as the carriage starts to run in and con-
tinues, the yam being guided on to the spindles by the wind-
ing faller, until position (a) is reached, when the carriage and
spindles stop, which completes the cycle of operations. The
rolls now begin to deliver, the spindles to revolve, and the
carriage to move outwards, as before.
Calculations. — To find the niimber of turns of twist being
inserted in the yam, the following rule may be applied:
Rule. — Assuming the front-roll gear to be a driving gear,
divide the product of the driving gears and the diameters, in
inches, of the rim pulley and cylinder by the product of all
the driven gears and the diameters, in inches, of the cylinder
pulley, whorl, and the front roll multiplied by 3.1416 to give its
circumference.
Example. — Find the number of turns of twist per inch
being inserted in the yam, with a deduction of 5% for
slippage of bands, belts, etc., according to the data given in
Fig. 2.
COTTON-YARN PREPARATION 209
48X60X66X16X6
Solution. — ; • = 22.223
24X60X22XllXfX 1X3.1416
5% of 22.223 = 1.111. 22.223-1.111 = 21.112, turns of twist.
To find the number of turns of twist per inch being inserted
in the yam when the number of revolutions per minute of the
spindles and the number of inches of stock delivered per minute
are known:
Rule. — Divide the number of revolutions per minute of the
spindles by the number of inches of stock delivered per minute
by the front roll.
Example. — Find the number of turns of twist per inch being
inserted in the yam when the spindles make 9,819.786 rev.
per min. and the front roll delivers 465.113 in. of stock.
Solution. —
9,819.786-^465.113 = 21.112, tums of twist per in.
The twist is generally altered by changing the rim pulley
or the speed gear. The speed gear is the one changed under
ordinary conditions, which require only a slight alteration in
the amount of twist, but for a considerable change the rim
pulley is altered; in extreme cases both are changed. Referring
to Fig. 2, the spur gear C23, of 66 teeth driven by the 22-tooth
gear C22 on the front end of the rim shaft is the speed gear.
To find the constant for twist for the rim pulley when the
sizes of the gears, pulleys, etc. are known:
Rule. — Perform the calculations in exactly the same manner
and select exactly the same data as when finding the twist, except
that the rim pulley should be considered as 1 in. in diameter.
Example. — Find the constant for twist for the rim pulley
f according to the data given in Fig. 2.
Solution. —
48X60X66X1X6 ^ „ _
; — — =1.3889, constant
24X60X22X11X1X1X3.1416
To find the constant for twist for the speed gear when the
sizes of the gears, pulleys, etc. are known:
Rule. — Perform the calculations in exactly the same manner
and select exactly the same data as when finding the twist, except
that the speed gear should be considered as having only 1 tooth.
Example. — Find the constant for twist for the speed gear
<:23 according to the data given in Fig. 2.
-210 COTTON-YARN PREPARATION
Solution. —
48X60X1X16X6
.3367, constant
24X60X22X11X1X1X3.1416
To find the number of turns of twist per inch being inserted
in the yarn when the constant for the rim pulley and the size,
or diameter, of the rim pulley are known :
Rule. — Multiply the diameter of the rim pulley being used by
the constant for twist for the rim pulley.
Example. — Find the turns of twist per inch being inserted
in the yam, making a deduction of 5% for slippage of bands,
belts, etc., when a 16-in. rim pulley is used and the constant
is 1.3889.
Solution.— 16X1.3889 = 22.222. 5% of 22.222 = 1.111;
22.222-1.111 = 21.111, turns of twist per in.
To find the ntunber of turns of twist per inch being inserted
in the yam when the constant for the speed gear and size of the
speed gear are known:
Rule. — Multiply the size of the speed gear being used by the
constant for twist for the speed gear.
Example. — Find the turns of twist per inch being inserted
in the yarn, making a deduction of 5% for slippage of bands,
belts, etc., when a 66-tooth speed gear is being used and the
constant is .3367.
Solution.— 66 X. 3367 = 22.222. 5% of 22.222 = 1.111.
22.222-1.111 = 21.111, tums of twist per in.
To find the diameter of the rim pulley being used when the
calculated twist and the constant for twist for the rim pulley
are known:
Rule. — Divide the number of turns of twist per inch by the
constant for twist for the rim pulley.
Example. — Find the diameter of the rim pulley required to
produce 22,223 tums of twist per inch when the constant for
twist for the rim pulley is 1.3889.
Solution.-^ 22.223-^-1.3889 = 16 in., dia. of rim pulley.
To find the size of the speed gear being used when the cal-
culated twist and the constant for twist for the speed gear
are known:
Rule. — Divide the number of turns of twist per inch by the
constant for twist for the speed gear.
COTTON-YARN PREPARATION 211
Example. — Find the size of the speed gear required to pro-
duce 22.223 turns of twist per inch when the constant for twist
for the speed gear is .3367.
Solution. —
22.223-^.3367 = 66.002, or practically a 66-tooth gear
To find the twist to be inserted in a certain class of yam, the
square root of the counts to be spun and the standard multi-
plier for that class of work must be known, in which case the
square root of the counts is multiplied by the standard multi-
plier. The standard multiplier varies for different classes of
work and kinds of cotton; the following are not absolute, but
are given as a guide: For warp and filling yams spun on the
mule from American cotton, 3.75 and 3.25 respectively, are
used; for Egyptian cotton, 3.6 and 3.18, respectively; and 2.75
for filling yams spun from sea-island cotton. For hosiery yams
the multiplier ranges from 2.25 to 2.6, as hosiery yams are
softer than weaving yams and require less twist. Long stock
requires less twist than short stock, and combed stock less than
carded stock. In many cg,ses the constant multiplier is given
with each order, especially with those for hosiery yams.
Example. — Find the standard number of turns of twist per
inch for 39s filling yam spun from American cotton.
Solution.— \39 = 6.244. 6.244X3.25 = 20.293, standard
number of turns of twist per in.
If carded stock is being used, the above result will be increased
about 1 or I5 turns per inch; thus, 20.293-1-1 = 21.293 turns of
twist per inch for carded stock.
The following examples illustrate the methods of finding
the total draft, constant for total draft, size of change gear
required to produce any desired draft, and the draft produced
by a certain size of change gear:
Example. — ^Find the total draft, or the draft between the
front and back drawing rolls, according to the data given in
Fig. 2.
1X120X56 „_„ , , ^
Solution. — = 8.626, total draft
19X41X1
Example. — Find the constant for the total draft according
to the data given in Fig. 2, considering the 41-tooth gear as
the draft gear.
212 COTTON-YARN PREPARATION
Solution. —
1X120X56
= 353.684, constant for total draft
19X1X1
Example. — -Find the size of the draft gear required to pro-
duce a draft of 8.626 when the constant is 353.684.
Solution. — 353.684-5-8.626 = 41.002, or practically a 41-
tooth draft gear.
Example. — ^Find the draft produced by a 41-tooth draft
gear when the constant is 353.684.
Solution.— 353.684^41 = 8.626, draft
The production of mules may be found in three general
ways: (1) by taking into consideration the number of stretches
per minute, the length of each stretch, the number of spindles
per mule, the counts of yam being spun, and the length of
time run; (2) by using indicators, or hank clocks; (3) by keep-
ing an account of the weight of each doff for a given period,
adding the estimated amount on the spindles at the end of
this time, and deducting the amount on the spindles at the
beginning. ' I
To find the production for a given length of time accord-,
ing to the first method: j
Rule I. — Divide the product of the number of stretches per
minute, the length of each stretch, 60 (the number of minutes
per hour), the number of hours run, the number of spindles per
mule, and the number of mules by the product of 36 (the num-
ber of inches in a yard) , SJfi (the number of yards in a hank) ,
and the counts of the yarn being spun. Usually a deduction of
about 10% is made for stoppages, such as doffing, cleaning, etc.
Example. — Find the total number of pounds produced in
a week of 60 hr., making a deduction of 10% for stoppages,
etc., by 6 mules of 780 spindles each. The yam being spun
is 39s and each mule makes 5j draws, or stretches, of 62 in.,
per minute.
5JX62X60X60X780X6 ,„„, ,_,^
Solution.— = 4,871.428 lb.
36X840X39
10% of 4,871.428 = 487.142. 4,871.428— 487.142 = 4,384.286 lb.
To find the production for a given length of time according
to the second method, that is, using indicators:
COTTON-YARN PREPARATION 213
Rule n. — Multiply the number of hanks per spindle pro-
duced by each mule by the number of spindles in thai mule and
divide by the counts of yarn being spun to find the number of
pounds produced. To find the total number of pounds produced,
add the number of pounds produced by each mule. Usually
a deduction of from 2|% upwards is made for waste, etc.',
although in some cases the indicators are constructed so as to
provide for this allowance.
Example. — Find the total number of pounds produced by
6 mules of 780 spindles each, making a deduction of 3§% for
waste, etc. The hank clock on each mule registers, respect-
ively, 38.25, 37.5, 37, 37.25, 38.75, and 38.5 hanks, and the
counts of the yam being spun are 39s.
38.25X780
Solution. — =765 lb.
39
37.5X780
39
37X78
39
37.25X780
39
38.75X780
39
38.5X780
= 750 lb.
= 740 lb.
= 745 lb.
= 775 lb.
= 770 lb.
39
765+750+740+745+775+770 = 4,545 lb. 3|% of 4,535
= 159.075. 4,545-159.075 = 4,385.925 lb. of 39s yam
Rule m. — Multiply the sum of the hanks per spindle pro-
duced by each mule by the number of spindles per mule and
divide by the counts of the yarn. The usual deduction for waste
should be made.
Example. — Same as example under Rule II.
Solution.— 38.25+37.5+37+37.25+38.75+38.5 =
227.25X780
227.25, total number of hanks. = 4,545 lb. 3|%
39
of 4,545 = 159.075. 4,545-159.075 = 4,385.925, total number
of lb. of 39s yanij^
214 COTTON-YARN PREPARATION
To find the production for a given length of time according
to the third method : \
Rule rV. — Find the total number of pounds doffed for 'the
given time, add to this the estimated number of pounds on
spindles at the end of this time, and then deduct the number of
pounds on the spindles at the commencement of this time.
Example. — Find the total number of pounds of yarn pro-
duced in 1 wk. by 6 mules that have produced 121 doffs of
practically 36 lb. each. At the end of the week there is approxi-
mately 100 lb. of yam on the spindles, and at the end of the
previous week, or the beginning of the week under consideration,
there was 71 lb.
Solution.— 36X121 = 4,356 lb. doffed. 4,356+100 = 4,456.
4,456 - 71 = 4,385 lb. produced-
Changing Cotints. — To find the size of the draft gear required
to produce a yam of certain counts when the counts of the 3'-arn
being sptin and the draft gear in use are known and when the
hank of the back roving remains the same:
Rule. — Multiply the counts of the yarn being spun by the
draft gear in use and divide by the counts of the yarn desired.
Example. — Find the size of the draft gear required to pro-
duce 45s yam when 39s is being spun with a 41 -tooth draft
gear. The hank of the back roving is the same in both cases.
Solution. —
39X41
= 35.533, or practically a 36-tooth draft gear
To find the size of the draft gear required to produce a yam
of certain counts when the hank of the back roving is to be
changed, and the counts of the yam being spun, the draft gear
in use, the hank of the back roving being used, and the hank of
the back roving to be used are known:
Rule. — Divide the product of the counts of the yarn being spun,
the gear being used, and the hank of the back roving to be used by
the product of the counts of the yarn required and the hank of the
back roving being used.
Example. — Find the size of the draft gear required to pro-
duce 45s yam with a 6-hank back roving when 39s is being
spun from 4.5-hank back roving with a 41-tooth draft gear.
The back roving is running single; that is, one end per spindle.
COTTON-YARN PREPARATION
PRODUCTION OF MULES
215
Pounds per Spindle per
Week
No. of
Yarn
Stretches
per Minute,
64-Inch
Stretch
Hanks
per Spindle
per Day
Without
Roller
Motion
With
5 Per Cent.
Roller
Motion
6
6.00
6.85
6.85
7.20
8
6.00
6.85
5.13
5.39
10
6.00
6.85
4.11
4.31
12
6.00
6.85
3.42
3.59
14
5.50
6.28
2.69
2.82
16
5.50
6.28
2.35
2.47
18
5.50
6.28
2.09
2.20
20
5.50
6.28
1.88
1.97
22
5.50
6.28
1.71
1.79
24
5.50
6.28
1.57
1.64
26
5.25
6.00
1.38
1.45
28
5.25
6.00
1.28
1.34
30
5.25
6.00
1.20
1.26
32
5.25
6.00
1.12
1.17
34
5.25
6.00
1.05
1.11
36
5.125
5.85
.97
1.02
38
5.125
5.85
.92
.97
40
5.00
5.71
.85
.89
42
5.00
5.71
.81
.85
44
4.75
5.42
.73
.77
46
4.75
5.42
.70
.74
48
4.50
5.24
.65
.68
50
4.50
5.24
.62
.66
52
4.25
4.85
.55
.58
54
4.25
4.85
.53
.56
56
4.25
4.85-
.51
.54
58
4.25
4.85
.50
.52
60
4.125
4.71
.47
.50
62
4.125
4.71
.45
.47
64
4.125
4.71
.44
.46 .
66
4.125
4.71
.42
.44
68
4.00
4.57
.40
.42
70
4.00
4.57
.39
.41
72
4.00
4.57
.38
.40
74
4.00
4.57
.37
.38
76
4.00
4.57
.36
.37
78
4.00
4.57
.35
.36
Note. — ^Allowance has been made for stoppage for cleaning
and dofiSng.
216 COTTON-YARN PREPARATION
Solution. —
39X41X6
=47.377, or practically a 47-tooth draft gear
; 45X4.5
To find the size of the speed gear required to give the proper
twist for any cotints of yam without changing the rim pulley,
when the counts of the yam being spun, the counts of the yam
to be spun, and the size of the speed gear being used are known:
Rule. — Multiply the size of the speed gear being used by th<
square root of the counts required and divide by the square root
of the counts being spun.
Example. — Find the size of the speed gear required for 45s
yam when 39s is being spun with a 66-tooth speed gear.
Solution.— -V39 = 6.244; ^[45 = 6.708
66X6.708
=70.904, or practically a 71-tooth speed gear
6.244
To find the size, or diameter, of the rim pulley reqtiired to
give the proper twist for any counts of yam without changing
the speed gear, when the covmts of the yam being spun, the
counts of the yam to be spun, and the diameter of the rim
pulley being used are known:
Rule. — Multiply the diameter of the rim pulley being used
by the square root of the counts required and divide by the square
root of the counts being spun.
Example. — Find the diameter of the rim piilley required for
45s yam when 39s is being spvm with a 16-inch rim pulley.
Solution.— ->/39 = 6.244; V45 = 6.708
16X6.708 , . , .
=17.188, or practically a 17-inch rim pulley
6.244
To find the size of the builder gear to give the required rate of
movement to the builder for any counts of yam, when the
counts of the yam being spun, the size of the builder gear being
used, and the counts of the yam required are known:
Rule I. — Multiply the builder gear being used by the square
root of the counts of the yarn required and divide by the square
root of the counts of the yarn being spun.
Example. — Find the size of the builder gear required to spin
45s yam when 39s yarn is being spun with a 28-tooth builder
gear.
COTTON-YARN PREPARATION 217
Solution. — ^^45 = 6.708; 'V39 = 6.244
28X6.708
=30.08, or practically a 30-tooth builder gear
6.244 . K J B
Rule n. — Multiply the square of the builder gear being used
by the counts of yarn that it is desired to spin and divide by the
counts of yarn being spun. Extract the square root of the result
thus obtained.
Example. — Same as example 1.
282X45
, Solution. — =904.613
39
'V904.615 = 30.077, or practically a 30-tooth builder gear.
Another method of finding the size of the builder gear for
any counts of yam requires that the constant for the builder
gear shall first be found.
To find the constant for the builder change gear when the
length of the screw being used and the pitch, or number of
threads to the inch, in the screw are known:
Rule. — Multiply the length, in inches, of the part of the screw
that is being used by the pitch of the screw.
Example. — Find the constant for the builder change gear
when 7| in. of a 4-pitch screw is being used during the formation
of a set of cops.
Solution. — 7. 5 X 4 = 30, constant
To find the number of stretches, or draws, in a cop of any
counts of yam when the weight of the cop, the counts of the
yam, and the length of the stretch are known;
Rule. — Divide the product of the weight of the cop, in grains,
840 (the number of yards in 1 hank) , 36 (the number of inches in
1 yd.), and the counts of the yarn by the product of 7,000 (the
number of grains in 1 lb.) and the number of inches in one stretch.
Example. — Find the number of 62-in. stretches required to
produce a 330-gr. cop of 39s yam.
330X840X36X39
Solution. — = 896.748 stretches
7,000X62
To find the size of the builder change gear required for
any counts of yam when the constant for the change gear,
the weight of a full cop of yam, the length of one stretch,
and the counts of the yam required are known:
218 COTTON-YARN PREPARATION
Rule. — First find the number of stretches required for a full cop
of yarn of the weight and counts required, and then divide the
number of stretches required by the constant.
Example. — Find the size of the builder gear required for a
62-in. stretch mule to spin a 330-in. cop of 45s yam when the
constant for the builder change gear is 30.
330X840X36X45
SoLtTTiON. — ■ = 1 ,034.709 stretches
7,000X62
1,034.709^30 = 34.49, or practically a 34-tooth builder gear
Note. — It will be seen that the results obtained by these
rules vary somewhat. Since, however, the proper size of
builder gear is influenced by many other factors, such as the
tension on the yam during winding (which is governed by the
amount of weight on the counter faller and action of the quad-
rant), the amount of twist inserted in the yam, etc., no rule
will give absolutely accurate results. Rules for finding the
size of the builder gear must therefore be considered as giving
approximate results only, and it may often be found necessary
to slightly increase or decrease the calculated size of the builder
gear as the case may require.
The horsepower required to drive a mule varies, especially
during the different periods in its actions. It is generally
estimated, however, to be about 1 H. P. for every 100 to 110
spindles for coarse counts, 110 to 120 for medium counts, and
120 to 130 for fine counts. Generally speaking, a mule of
about 700 spindles, spinning medium counts, with a spindle
speed of about 9,000 rev. per min., under favorable conditions
will require, during the drawing-and-twisting period, about
25 H. P. for the first 2 or 3 sec. as the carriage starts out; after
that it decreases to about 10 or 12 H. P. until the carriage com-
pletes its outward run, when the horsepower is reduced to
about 1 or 1| until backing off is completed. As winding
commences and the carriage starts in, the power required is
increased from 1 or 1| to about 3 H. P. This continues until
the winding is completed, when the power is decreased to
practically nothing.
COTTON-YARN PREPARATION 219
TWISTING
The name ply yams is given indiscriminately to all threads
that are composed of two, three, or more single yams twisted
together at one operation, and they are distinguished from one
another by the terms -two-ply, three-ply, and so on. When
two or more ply threads are twisted together the resulting
yams are spoken of as cabled yarns.
The twisting process may be performed on machines of
various types, depending on two distinct factors: (1) the
condition of the yam when it is being twisted, and (2) the
method employed to insert the twist. The yam is twisted
in two conditions — ^wet or dry — giving the names wet twisters
and dry twisters to the two types of machines.
The machine most commonly used for twisting is that known
in America as a ring twister. The object of the twister is to
form the ply yam by inserting a suflEicient amount of twist in
the required direction and to wind the resulting yam on a
twister bobbin.
The principle on which the ring twister is constructed and
operated is to pass the yam from a creel to delivery rolls and
twist it by passing it through a traveler that is revolved rapidly
around a ring, by means of a rotating spindle carrying a bobbin;
the difference between the circumferential speed of the bobbin
and the speed of the traveler causes the twisted yarn to be
wound on the bobbin.
The twister closely resembles the ring spinning frame, a large
number of parts and motions of which are duplicated on a
twister. Ring twisters for both wet and dry twisting are
similar in construction, with the exception that in the wet
twister, the yarn immediately before being twisted is mois-
tened by being passed through a trough containing clean
water.
Calculations. — The only calculations that are of importance
in connection with twisters are: (1) those that are useful in
determining the twist per inch inserted in the ply yam, and (2)
those that are useful in determining the production of a twister.
As there are no draft rolls in a twister, the subject of drafts,
of course, does not enter into any calculations.
220
COTTON-YARN PREPARATION
Example. — If the speed of the front, or delivery, roll of
a twister corresponds with that of the 90-tooth gear /a, shown
In the accompanying illustration, what is its speed when the
cylinder makes 1,185 rev. per min.
Solution. —
1,185X20X38
= 83.388 rev. per mm. of the front roll
120X90
Example. — ^Find the number of inches delivered per minute
by the front roll when it makes 83.388 rev. per min. and is 1| in.
in diameter.
Solution.— 83.388X11X3.1416=392.957 in. per min.
Example. — ^Find the speed of the spindles when the cylin-
der is 8 in. in diameter and makes 1,185 rev. per min.* the
spindle whorl being li in. in diameter.
COTTON-YARN PREPARATION 221
Solution. — If the exact diameter of the cyHnder and the
smallest diameter of the whorl are 'taken, accurate results are
not obtained, as some allowance should be made for the diam-
eter of the spindle band, which is usually | in. The most
nearly correct way is to make an allowance for this both on
the diameter of the cylinder and of the spindle whorl, but it
is more convenient and gives sufficiently accurate results to
use the actual diameter of the cylinder but add | in. to the
diameter of the spindle whorl at its smallest part. This is the
practice that is followed here.
1,185X8
— =6,894.545 rev. per min. of the spmdles
Is
Example. — ^What is the twist per inch being inserted in the
yam, if the front roll delivers 392.957 in. per min. and the
spindles make 6,894.545 rev. per min.?
Solution. — 6,894.545-^-392.957 = 17.545 turns per in.
Note. — Some millmen make a deduction from the calctilated
result of 5% to allow for slippage and loss in winding, but this
should not be done, as the yam contracts during the process
of twisting in about the correct proportion to compensate for
such slippage.
Example. — Find the twist per inch being inserted in the
yam by figuring through the gears from the front roU to the
spindles, thus ascertaining the ntmnber of revolutions of the
spindles per inch delivered by the front roUs.
Solution. —
36X90X120X8
'■ = 17.545 turns per in.
36X38X20X11X11X3.1416
Example. — ^Find the constant for twist by figuring through
the gears from the front roll to the spindles, adding | in. to the
diameter of the whorl and considering pi as the twist change
gear.
Solution. —
36X90X120X8
^=350.901, constant
36X38X1X1|X1§X3.1416
Example. — Find the twist per inch being inserted in the
-yam with a 20-tooth twist gear, if the constant is 350.901
Solution. — 350.901 -r- 20 = 17.545 tums per in.
222 COTTON-YARN PREPARATION
Example. — Find the twist gear required to produce 17.545
turns per inch if the constant is 350.901.
Solution. — 350.901^ 17.545 = 20-tooth twist gear.
The amount of twist to be inserted in ply yams is specified
by a multiplier, which, when multiplied by the square root of the
counts of the single yam to which the ply yam under considera-
tion would be equal, approximately indicates the turns per inch
to be inserted. The range of multipliers is from 2.5 to 6.5.
The smallest are used for mending yams, knitting yams, and
embroidery yams, since these are commonly required to be soft,
full yams; larger multipliers are used for yams intended for
sewing threads, and the largest are for such yams as those
intended for fishing nets, macrame, and other hard twines,
harness yam, etc.
Example. — ^Find the turns per inch to be inserted in 2-ply
72s using 5 as a multiplier.
Solution. — Considering the 2-ply yam as a single yarn its
cotuits would be
72s4-2 = 36. \36=6. 6X5 = 30 tums per in.
Example. — -What twist per inch should be inserted in 5-ply
85s with a multiplier of 6?
, Solution. —
85s4-5 = 17 ^17 = 4.1231 4.1321X6 = 24.738
In some districts in the United States, it is customary to take
as a multiplier a number that, when multiplied by the square
root of the cotm.ts of the single yam used to form the ply yam,
gives the tums per inch in the ply yam; this is also a common
method in Europe. It is therefore always important to under-
stand whether a multiplier is to be considered as multiplying
the square root of the counts of the single yam, forming the
ply yam, or of a single yam that would be equivalent to the
completed ply yam, since in the latter case the multiplier is
larger than in the former.
Example. — ^What multiplier would be used with which to
multiply the square root of the single yam in order to give
30 turns per inch in 2-ply 72s?
Solution. — a/72 = 8.485 30 -r- 8.485 = 3.5
The multiplier in this case, 3.5, when multiplied by the
square root of the counts of the single yams forming the ply
COTTON-YARN PREPARATION 223
yam, gives 30 turns per inch, just as the multiplier 5 gave 30
turns per inch in a previous example when multiplied by the
square root of 36, which was considered as the counts of a
single yam equivalent to 2-ply 72s.
Production. — As twisters are not provided with hank clocks
the production is generally figured directly from the front roll,
which gives only a theoretical production.
Rule. — To find the number of hanks per spindle, multiply
the number of inches delivered per minute by the total number of
minutes run, and divide the product thus obtained by the number
of yards per hank multiplied by 36 {the number of inches per
yard). From this calculated production, a certain percentage
should be allowed for stoppages.
Example. — If the front roll delivers 392.957 in. per min.,
what is the production for 1 wk. of 60 hr., allowing 6% for
stoppages?
392.957X60X60 , ,
Solution. — = 46.780 hanks per spindle
840X36
per wk. .94X46.780 = 43.973 hanks.
The allowance of 6% in this example is not accurate for all
kinds of twisting, for this varies from 5 to 20% . The allowance is
intended to compensate for the amount of time lost in stopping
the frame for doffing and various other purposes. It is least in
the case of fine yams, as the frames do not require doffing so
frequently, and greatest in the case of coarse yams. It is also
greater when several single yams are being twisted than when
2-ply yams are being made. For example, the allowance for
2-ply 6s is usually 14%; for 3 -ply, 15%; for 4-ply, 17%; and
for 6-ply, 20%. For number 20s, the allowances are 10%,
11%, 12%, and 13% for 2-, 3-, 4-, and 6-ply, respectively. For
40s, the allowances are 6% for 2-ply, 7% for 3-ply, and 8%
for 4- or 6-ply; for number 80s, 4% for 2-ply, 5% for 3- and
4-ply, and 6% for 6-ply. This allowance should not be con-
fused with an allowance sometimes made for slippage.
Rule. — To find the number of pounds per spindle, divide the
number of hanks per spindle by the resultant counts.
Example. — If a frame produces 43.973 hanks per spindle
per week, what is the production per spindle in pounds if two
strands of 40s are twisted together?
22^
COTTON-YARN PREPARATION
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COTTON-YARN PREPARATION
225
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226
WARP PREPARATION
Solution. — 40 4- 2 = 20s, resultant counts. 43.973-5-20
= 2.198 lb. per spindle per wk.
The floor space occupied by twisters depends on the number
of spindles in the frame and the space between the spindles, or
the gauge of the frame. The number of spindles varies from
DIMiENSIONS OF TWISTERS
Size of Rings
Gauge of
Spindles
Size of Rings
Gauge of
Spindles
Inches
Inches
Inches
Inches
41
5i
2i
3|
4
5
2i
31
3t
4i
2
3
3
4
If
2f
64 to 240, one-half being on each side of the frame; the regular
sizes contain either 180, 208, or 240 spindles. The sizes of rings
generally used and the corresponding gauges, or spaces between
the centers of the spindles, are given in the accompanying table.
WARP PREPARATION
SPOOLING
Warp yam must ultimately be placed either on the loom
beam to be woven or put up in the form of a bundle to be
shipped from the mill where it is spun. In either case it must
first be spooled, in order to obtain a greater length of yarn
and thus facilitate later processes. The object of the spooler,
therefore, is to place a suitable lengfth of yarn on a spool, this
yam being taken from the bobbin or cop on which it has pre-
viously been wound at the spinning process, or, in some cases,
at the twister.
As shown in the accompanying illustration, spoolers are so
made that many of the parts on one side are duplicated on the
other, thus permitting the yam to be spooled on both sides of
K
? .
r
\
I
— 1_
1/
I
WARP PREPARATION
227
the machine. The bobbins j, as they come from the spinning
frame are placed in the bobbin holder k, the end of yam being
passed tinder a swinging arm similar to ^3, and then carried T;o
the thread guide I, from which it passes to the spool h. As the
spool revolves, the yam is wound on it. The traverse of the
yam on the spool is obtained by imparting an up-and-down
motion to the rail m on which the thread gtiides I are secured.
This motion is given to the traverse raU by means of the rods
mi, motion being imparted to these rods by the rods ni2, which
are connected to the arms n; these arms are acted on by a
mangle gear / and quadrant «i. The bobbin boxes, in which
the bobbins are kept, are shown at ^; g shows the creels on
which the spools are placed as they become full. In cases where
the yam to be spooled is wound on cops or bobbins with a filling
wind, from which the yarn must be pulled off at the nose, the
cops or bobbins are placed on spindles and the yam carried
through the guides to the thread guide on the traverse rail and
then to the spool.
SIZES OF SPOOLS
Counts
Length of Traverse
Inches
Diameter of Head
Inches
8s to 16s
18s to 34s
36s to 54s
56s to 80s
90s to 100s
6
5
41
3^
3
5
4
3f
3i
2f
In spooling, the larger the spool can be made, the more yam
it will hold, and consequently the greater wiU be the production
of the spooler; but there is a limit to the size of the spool, due
to the fact that at the next process the yam is obliged to turn
the spool, and if too much tension is brought on it, it will break
frequently and thus defeat the object of having a large spool.
From this it will readily be apparent that the coarser the yam
the larger will be the spool that can be used. Good sizes of
spools for different counts of yam are as given in the accom-
panying table.
228 WARP PREPARATION
Settings. — To set the mangle-gear arrangement shown in
the illustration, have the pinion gear di just at the point of
reversing the mangle gear /, then find the difference between
the number of teeth on the segment wi, and on the stud gear //
and set the stud gear so that it will be half this number of teeth
away from the end of the segment. At this point the top of the
traverse rail on one side of the spooler should be about rs in.
below the top heads of the spools, and the top of the traverse
rail on the other side should be the same distance above the
bottom heads of the spools on that side of the machine.
The gear /? meshing with the segment is known as the change
gear, and it is this gear that is altered when a change in the
traverse is desired. A larger gear drives the quadrant more
quickly, and consequently makes it travel a greater distance
while the mangle gear is making one revolution. This gives
a longer traverse of the traverse rail. A smaller gear has, of
course, th^ opposite effect. In case the change gear does not
give the exact traverse required, any slight change may be
obtained by moving the studs in the lever n, that support the
rods nii. By this method of changing the traverse, the traverse
on one side may be altered independently of that on the other,
which cannot be done by changing the change gear. This, of
course, is often of advantage.
Another adjustment, but one that alters only the point at
which the rail reverses without altering the traverse, can be
made by dropping or raising the lifting rods. If, for example,
the traverse rail is a little too high at both the top and bottom
points at which it reverses, then the rods may be dropped until
the traverse rail assumes its correct position. Care should be
taken, however, to have the traverse rails perfectly horizontal
and the .studs in the slots of the lever n all set at the same point
on one side of the frame.
The upper and lower plates of each thread guide should be set
at such a distance apart that the yam will just pass through
without chafing. It is a good plan to use a No. 7 or No. 9 card
gauge to set these on fine yams and No. 11 on coarse yams, or
even No. 7 and No. 9 together, equaling No. 16, on very coarse
yams. The settings of these plates should be looked over
frequently.
WARP PREPARATION
229
Calculations. — To find the gear required to give a desired
length of traverse when the gear being nin and the length of
traverse it gives are known:
PRODUCTION OF SPOOLERS
Revolutions per Minute of
Number of
Cyl. 167,
Cyl. 184,
Cyl. 200,
Yam
Spindle 750
Spindle 825
Spindle 900
Pounds per Day per Spindle
8
10.8
11.8
12.9
10
8.6
9.5
10.3
12
7.2
7.9
8.6
14
6.2
6.8
7.4
16
5.4
5.9
6.5
18
4.8
5.3
5.8
20
4.3
4.8
5.2
22
3.9
4.3
4.7
24
3.6
4.0
4.3
' 26
3.3
3.7
4.0
28
3.1
3.4
3.7
30
2.9
3.2
3.5
32
2.7
3.0
3.3
34
2.6
2.8
3.1
36
2.4
2.7
2.9
; 38
2.3
2.5
2.7
40
2.2
2.4
2.6
44
2.0
2.2
2.4
50
1.8
1.9
2.1
60
1.5
1.6
1.8
70
1.3
1.4
1.5
80
1.1
1.2
1.3
90
1.0
1.1
1.2
100
.9
1.0
1.1
Rule. — Multiply the traverse gear being used by the length
of traverse desired and divide the result by the length of the trav-
erse being run.
Example. — An 11-tooth gear is being used and gives a
55-in. traverse. What gear will be required for a 4i-in. traverse?
230 WARP PREPARATION
11X4~
Solution. — ~ = 9-tooth gear.
To find the length of traverse that a certain gear will give
when the gear being used and the length of traverse it gives
are known:
Rule. — Multiply the length of traverse being run by the gear
to be used and divide this result by the gear being used.
Example. — ^An 11-tooth gear gives a 5|-in. traverse. What
traverse will a 9-tooth gear give?
5-X9
Solution. — = 4|" traverse
11
BEAM WARPING
As the yam comes from the spooler, it is taken to a machine
known as a warper, the object of which is to unwind the yam
from a large number of spools and place it in an even sheet on a
beam, known as a section beam. Warping is divided into sev-
eral different classes according to the manner in which the yam
is treated. The operation known as beam warping derives its
name from the fact that the yam as it is unwound from the
spools is wound on a beam.
The principle of beam warping is simple; it consists of
arranging spools of yam in a creel so that they revolve with the
least possible resistance, and the yam is wound on a roll, or
beam, rotated by contact with a revolving cylinder.
The accompanying illustration shows the creel and warper
as they appear when in operation. The ends are gathered from
the spools and passed between the guide rods c; they then pass
through the expansion comb d, under a drop roll, over the guide
roll/, through the drop wires g, through the expansion comb di,
over the measuring roll h, and then to the beam k, on which they
are wovmd in an even sheet.
The first important part of the warper with which the yam
comes into contact as it passes from the creel is the expansion
comb d, which is arranged so that the spaces between the wire
teeth may be enlarged or reduced, and the gauge of the comb
regulated to imiformly distribute the sheet of yam over the
WARP PREPARATION
231
whole width of the machine, irrespective of the number of ends
being run. Passing from the expansion comb, the yam comes
into contact with a drop roll, which takes up any slack yam
that may be let oflE by the spools. When the warper-is stopped
232 WARP PREPARATION
for any cause, the momentum of the spools causes considerable
yarn to be unwound,- which, if not taken care of in some man-
ner, may become snarled and break when the warper is again
started.
As the principal object of a warper is to wind on a beam an
even sheet of yam that consists of the same number of ends at
all times, all modern warpers are supplied with slop-motions,
which stop the machine if a single end breaks while passing from
the creel to the beam. The yarn, after passing through the drop
wires of the stop-motion, next passes through the expansion
comb dx and then over the measuring roll h, which is driven by
the friction of the yarn. Connected with this roll is a device
for measuring the yam wound on the beam.
Attachments are provided on all warpers by means of which
they may be run at two speeds. In starting a warper, the belt
is shifted to the slow-motion pulley, and the yarn immediately
begins to wind on the beam, gradually pulling up the drop roll
as the tension of the yam cotuiteracts the weight of the roll.
As soon as the roll has resumed the position that it should
occupy while the warper is ninning, and after the spools have
acquired some momentum, the belt is moved to the tight pulley,
and the machine will run at full speed.
A cone-drive attachment is provided on some warpers by
means of which the beam may be driven at a slower speed as the
spools become nearly empty. The advantage of such an
arrangement is clearly seen, for a spool filled with yam is larger
in diameter than an empty spool; consequently, if the same
length of yam is being unwound from each in the same time, the
spool that is nearly empty must make more revolutions per
minute than the other, which is undesirable. In addition, as
the diameter of the spool decreases the amount of pull necessary
to turn it is increased, which naturally brings more strain on the
yarn. If, therefore, the same length of yarn is to be unwound
from the spools at all times this length cannot exceed what the
yam will stand when being unwound from the nearly empty
spools; consequently, when the spools are full, the warper is not
run at its full capacity.
The aim in warping should be to produce hard and level
beams, free from ridges or soft sides near the beam head. The
WARP PREPARATION
233^
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