TABLES
FOR COMPUTING
EXCAVATION AND EMBANKMENT
ON
RAILROADS AND CANALS;'0OR CHAINS OF ONE HUNDRED FEET AND SLOPE OF THREE TO T'1WO.
COM3PILED BY
JOSIA-I HUNT, CIVIL ENGINEER.
PRO 1V   I D E N C E:
KNOWLES, ANTHONY & CO.. PRINTERS.
1851.








EXPLANATION OF TABLES.
THEs following Tables are computedl for chains of 100 feet; being
the length in ordinary use on XNew-England Railroads-and for a
slope of three to two —-this slope being generally taken for the basis
of calculation in original estimates.
Opposite the number in the first column, denoting the mean depth
of cutting, or filling at two adjoining stations, the cubical quantities for the different width of base, will be found under their respective heads.
The nnmbers in the tenth column, (headed " Cor.") denote the
number of yards to be added for the difference in depth at the twostations, which is uniform for any width of base.
For example.-Suppose the depth of cutting at two consecutive
stations to be!0 feet and 32 feet, (the base being 20 feet;) opposite.
21 feet the mean cutting, and under 20 feet base, is found 4006 yards;
and opposite 22 feet, the difberence in cutting, in the column headed' Cor." is found 224 yards, which added to the 4006, gives 4220 yards,
the quantity sought,








EXCAVATION AND EMBANKMENT TABLES.
Depth                    WIDTH OF BASE.
of Cut_                                                       Cor.
or Fill.  14    15    16 1 18    20    25      0    34.1  5        6      6      7     8      9    11    13    0..2    11    11    12    14    15 j  19    23    26    0..3    16    17    18    21    23    28    34    38    O..4    22    23    24    28    31    38    48    51    0..5    27    29    31    35    38    48    57    64   o..6    33    35    38    42    47 ]  58    69   77,.7    39    42    44    50 i 55    68    81    91          0..8! 45    48    51    57    63 7j   3    92   14    0..9    51    55    58    65  71    8    105   118     0.
1.0 1 57    61    65    72 I 80 1  98  117   131 1  0.
1.1    64    68    72    S  i80    88   109   129   145    1.
1.2    70    75    79    88    97  119   141   159    1.
1.31   77    82    86    96 i 106   130   154   173    1.
1.4    84    89    94   10-4   115  140   166   189         1.
1.5    90    96   102   113  1 124 1 151   179   201         1.
1.6 1  97   103   109   122 1 133  162   192   215           1
1.7   104   111   117   129   142   173   205   231          1.
1.8   111   118   125   138   151  185   218 -244  I  l
1.9 1 119   126  -133   146   160   196   231   259    1.
I_       _       i_ _           I_ _   _ _.o




~6        EXCAVATION AND EMBANKMENT TABLES.
Depth                   WIDTH OF BASE.
of Cut              -             -            -           Cor.
orFill.  14    15    16    18 120 125    30    34
2.0  126   133   141   156   170   207   244   274    2.
2.1  133           149   16    180   219   258   289    2.
2.2  141   149   157   179   190   231   271   304    2.
2.3  149   157   16   184   200   242   284   319    2.
2.4  156   165   173   194   210   254   298   334    3.
2.5  164   174   182   203   220   266   312   349    3.
2.6  172   182   191   212   230   278   325   365    3.,
2.7   180   190   200   222   240   290   339   380    3.
2.8  189   199   209   231   251   303   354   396    3.
9.9  197   208   218   240   262   315   370   412    4.
3.0  206   217   228   250   272   328   383   428    4.
3.1  214   226   237   260   283   340   398   444    4.
3i 223   235   247   271   294   353   412   460 S.
3.3  232   244   256   282   305   366   427   476    5.
3.4  241   254   266   292   316   379   445   492    6.
3.5  250   262   276   303   327   392   457   508    6.
3.6  259   273   286   313   339   405   472   525    6.
3.7  268   282   296   324   350   419   487   541    6.
S.g 8   277   292   306   335   362   432   502   556    7.
9   287   302   316   345   373   446   517   576    7.




EXCAVATION AND EMBANKMENT TABLES. 
Depth                     IDTH OF BASE.
of Cut. Cor,
or Fill.  14     15    16 1  18    20  1 25    30  1 34
4.0   296   311   326   356   385   459   533   593    7.
4.1   306   321   336   367   397   473   549   610    7.
4.2   316   332   347   378   409   487   565   628    8.
4.3   326   342   358   389   421   501   580   645    8.
4.4   336   352   369   400   433   515   596   662    9.
4.5   346   262   380   412   446   529   612   680    9.
4.6   356   373   391   424   458   543   629   698   10.
4.7   366   384   402   436   471   558   645   715   10.
4.8   377   395   413   448   484   572   661   733   11.
4.9  387   406   424   460   496   587   678   751   11.
5.0  398   417   435   472   509   602   694   769   12.
5.1   409   428   446   484   522   617   711   787   12.5.2   420   439   457   497   535   632   728   806   13.
5.3  431   451   469   509   548   647   745   824   13.
5.4  442 1 462   481   522 1 562   662   762   843   14.
5.5  453   474   493   535   75   677   779   861   14.
5.6  464   485   505   548   589   693   796   880   14.
5.7  476 1 497   517   561   603   708   814   899   135y
5.8  487   509   529   574   616   724   831   918   16.
5.9  499   521   543   587   e30   740   349   937   16.
i




8         EXCAVATION AND EMBANKMENT TABLES.
Depth                    WIDTE OF  ES~.
of Cut                    WIDTH OF BASE.                       Co.
or Fill.  14    15   1 16  1 18  1   O 1 25  1 30  1 34.
6.0   511   533   555   600   644    756   867   956   17.
6.1   523   546   568   614   659    771   884   975   17.
6.2   535   558   581   627   673    787   902   995   18.
6.3   547   571   594   640   687    804   920  1014   19.
6.4   559  583   607   654   702    820   939  1034   19.
6.5   572  596   620   668   716    837   957  1054   20.
6.6   584   609   633   682   731    853   975  1074   21.
6.7   597   622   646   696   746    870   994  1094 i 21.
6.8   609   635   659   710   761    886  1012  1114   22.
6.9   622   648   673   725   776    903  1031  1134   22.
7.0   635   661   687   739   791    920  1050  1154   23.
7.1   648  675   701   753   806    938  1069  1175   23.
7.2   661   688   715   768   822    955  1088  1195   24.
7.3   675  701   729   783   837    972  1107  1216   25.
7.4   688   715   740   798   852    989  1126  1237   25.
7.5   701   729   757   813   868   1007  1146  1257   26.
7.6   715   743   771   828   884   1024  1165  11278   26.
7.7   729   756   785   843   900   1043  1185  1299   27.
7.8   742  770   799   859   916   1060  1204  1321   28.
7.9   756  784   814   873   932   1078  1224  1342   29.




EXCAVATION AND EMBANKMENT TABLES.                       9
Depth                    WIDTH OF BASE.
of Cut  Cor.
orC.   14    15       16    18    20    25    3 0    34
8.0    770 t 800   829   889    948  1096  1244 1363  30
8.1    784   815   844   904    964  1114  1265  1385  30
8.2   799    829   859   920    981  1132  1285  1407  31
8.3    813   844   874   936    998  1151  1305  1428  31
8.4    827   859   889   952   1014  1169  1325  1450  32
8.5    842   874   904   968   1081  1188  1346 1472  33
8.6   857   889   919   984   1048  1207  1366 1494.34
8.7    871    904   934  1000   1065  1226  1387  1516  34
8.8   886   920   950  1017   1082  1245  1408:1539  35
8.9   901   935   966  1033   1099  1263  1429  1501  36
9.0   917   949   982  1050   1116  1283  1450  1584  37
9.1    932 - 966   998  1066   1134  1303  1471  1606 1 38
9.2   947   981  1014  1083   1152  1322  1493  1629  39
9.3   963   997  1030  1100   1169  1342  1514  1652  40
94    979  1013  1046  1117   1187  1361  1536  1675  41
9.5   994  1029  1063  1134   1205  1381  1557  1698  42
9.6  1010  1045  1080  1151   1223  1401  1579  1721  43
9.7  1026  1061  1097  1179   1241  1421  1600 1744  43
9.8  1042  1077  1114  1196   1259  1441  1622  1768  44
9.9   1058  1094  1131  1214   1278i 1461  1644  1791  45




10        EXCAVATION AND EMBANKMENT TABLES,
Depth                     WIDTH OF BASE.
of Cut i-                                                 -cor.
or Fill.  14      15    16 18        201      25  1 30    34
10.0  1075  1110  1148   1222  1296   1481  1667  1815  46
10.1   1091  1128  1165  1240  1315  1.502  1689  1839  47
10.2   1108  1145  1182  1258  1334   1522  1711  1862  48
10.3   1124  1162  1199  1276  1352   1543  1734  1886  49i
1-0.4   1141  1179  1216  1294  1371   1564  1756  1911  50
10.5  1158  1196  1234  1312  1390   1585  1779  1935  51
10.6  1175  1213  1252   1330  1409   1696  18023  1959  52
10.7  1192  1231  1270   1349  1428   1627  1825  1983  53
10.8  1209  1248  1288   1367  1448   1648  1848  2008  54
10.9  1226  1266  1306   1386  146    16i89  1871  2032  55.
11.0   1243  1283  1324   1405! 14837   1690  1894  2057  56
11.1  1261  1303  1342  1424  1507   1712  1919  2082  57
11.2   1278  1319  1316   1443  1527   1734  1  I47   2107  58
11.3  1295 1 1337  1378   1462  1546   1755  1965  2132  59
11.4   1314  1356  1397   1481  1566   1777  1989  2158  60.
11.5  1332  1374  1416   1501  1587   1800  2012  2183  61
11.6  1350  1392  1435   1520  1607   1822  2036  2208  62
11.7  1368  1410  1454   1540  1627   1844  2060  2234  63
11.8  1386  1429  1473   1560  1648   1866  2084  2260  64
11.9   1404  1448  1492  1580  1668   1888  2109  2285  66




EXCAVATION AND EMBANKMENT TABLES.                       11
Depth                     W VIDTH OF BASE.
of Cut                                                          Cot.
or Fill.  14I   15    16    18     20  1 25     30    34
12.0  1423' 1467  1511   1600  1689   1911  2133  2311  67
12.1   1441  1486  1530   1620  1710  1933  2158  2337   68
12.2   1460; 1505  1549   1640  1731  1956  2182  2363   69
12.3   1479  1524  1569   1660  1752  1979  2207  2389 i 70
12.4   1498  1543  1589   1681  1773  2002  2232  241.5 I7[
12.5   1517  1562  1609   1701  1794  2025  2257 244- 1 72
12.6   1336  1582  1629   1722  1815  2048  2282  2469  73
12.7   1555  1602  1649   i742  1837  207 1 2307  2495   74
12.8   1574  1622  1669   1763  1859  2095 i 2332  2522  76
12,9   1594  1641  1689   1784  1880  2118  2357  2549  77
13.0   16 16i4  1661  1709   1805   i902  2143  2383  2576  78
13.1.   1 C 3   1680  1729   1826  1924  2166  2408 2 61   7 9
13.2   153  1702  1750   1848  1946  2i90  2434  256-30 0  80
13.3   1673  1722  1771   1869  1968  2214  2460  2658   81
13.4   1692  1742  1792   1890  1990  2238  2486 2 64   83
13,5  1712  1762  1813   1912  20!2  2262  25 2  27 i;  84
13.6  1733  1784  1834   1934  2035  2286  2538  2 7Ji  85}
13.7   1753  1834  1855   1956  2057  23'0  2564  27(~ 6'  86
13.8   1773  1825  1876   1978  2080  2335  259t  J27t   87
13.9   1794  1846  1897   2000  2 02  2359  2617 i 28': 89




t2      EXCAVATION AND EMBANKMENT TABLES.
Depth                 WIDTH OF BASE.
of Cut                                                     Cor.
r Fill.  14    15    16   1      18    20 125  30 1 34
14.0  1815  1867   1918 2022  2126  2385 2644  2852  91
14.1  1836  1888  1940 2044  2149  2410 2670  2880  92
14.2  1857 1i909  1962 2067 i 2172  2435 2697  2908   93
14.3  1878  193t  1984 2089  2195  2459  2724  2937   94
14.4  1899  1952  2006 2112  2218  2484 2751 2965   96
14.5  1920  1974  2028 2135  2242  2511 2779  2994  97
14.6  1942  1996  2050 2 58  2266  2535 2806  3023   98
14.7   1 963  2017  2072 2181  2289  2560 2833  3052  100
14.8   985  2039  2094 2204  2313  2585 236; 3081  101
14.9  2007 2061  2116 2227  2336  2612 2899  311 0 103
15.0  2028 2083  2138 2250 i 2361  2639 2917  3139  104
15.1  2050  2106  2161  2273'2385  2665 2944  3 68  105
15.2  2072  2128  2184 2297  2409  2691  2972  3198 107
15.3  2094  21'51  2207 2320  2433  2717 3000  3227 108
15.4  2117  2173  2230 2344  2458  2744 3028  3257  110
15.5  2139  2196  2253 2368  2482  2770 3057  3287  111
15.6  2161  2219  2276 2392  2508  2797 13085  3316  112
15.7  2184.2242  2299 24'6  2531   2823 311 3  3346  14
5.8  2207  2265  2322 2440  2557  2850 3142  3376  115
15.9  -2229 i2288  2346 2469  2582  2877 3171  3407  117




EXCAVATION AND EMBANKMENT TABLES.                   13
Depth                   WIDTH OF BASE. 
of Cut                                                     Cor.
orFill.  14 1 15    16  18  1201 25  130    34
16.0  2252  2311 1 2370  2489  2607  2904  3200  3437  119
16.1  2275 2335  2394  2514  2632 2931  3229  3467  120
16.2  2298  2358  2418 2538  2658  2958  3258  3498 1 22
16.3  2321  2382  2442  2563  2683 2985  3287  3529  123
6.4 12345  2405  2466 2588  2708  3012  3316  3559  1 125
16.5  2368 2429  2490  2613  2734 3040  3346  3590 1126
16.6  2392  2453  2514 2638  2761  3067  3375  362 1  127
16.7  2415 2477  2538 2663  2786  3095  3405  3652  129
16.8  2439  2501  2562 2688  2812  3124  3434  3684 131!
16.9  2463 2525  2587  2713  2839  3151  3464  3715! 132
16.0  2487  2550  2612  2739  2864  3180  3494  37466 1 3417.1  2511  2575  2637  2765  2891  3208  3524  3778 1135
17.2  2535  2599  2662 27'I90  2917  3236  3554  3809 1137
17.3  2560 2624  2687 2816  2944  3265  3584  3841  139
17.4  2584 2649  2712 2842  2970  3293  3615  3873  140
17.5  2609  2674  2737  2868  2997  3322  3646  3905  142
17.6  2633  2699  2 762 2894  3025 3350  3677.  3937 1143
17.7  2658 2724  2788 2920  3051  3379  3708  3969 145
17.8  2683  274 9  2814  2947  3078  3408  3738  4002  147
17.8  2708 2774  2840  2973  3106  3437  3769  4034  148




14      EXCAVATION AND EMBANKMENT TABLES,
D)epth                  WIDTH OF B.ASE.
of Cut   _                                                 Cor.
o,ill.'14    15    16    18    20  | 25 | 30  1 34
18.9  2733 -2800  2866  3000  3133  3467  3800  4067  150
18.1  2759 2826  2892 3027  3161  3496  3831  40991 15 
18.2  2784 2851  2918 3054  3189 3525  3862  4132  153
18.3  2809 2877  2944 3081  3216 3554  3893  4165  155
18.4  2835 2903  2970 3108  3244 3584  3925  4198  156
18.5  2861  2929  2996 3135  3'272 3614  3957  423t  158
18.6  2887  2955  3023 3162  3300 3644 3988  4264  160
18.7  2912 2981  3050 3190  3328 3674  4020  4297  J61
18.8  2938 3007  3077 3217  3356 3703  4052  4331  163
18.9  2965 3034  3104 3245  3384 3733 4084  4364  165
19.0  2991 3061  3131 3273  341'2 3765  4117  4398  167
19.1  3017 3088  3158 3301  3442 3795  4149  4432  168
10.2  3044 3114  3185 3329  3470 38'26  4181  4466  170
19.3  3070 3141  3212 3357  3499 3856  4213  4500  172
19.4  3097  3168  3239  3385  3528 3887  4246  4534  174
19.5 -3124 3195  3367  34i3  3557  3917 4279  4568  176
19.6  3151 3223  3295 3441   3586 3948  4311  4603  1J78
19.7  3178 3250  3323 3470  3615 3980  4344  4637  180
19.8  3205 3277  3351 3498  3644  4012 4377  4672  18t
19.9  3232 3306  3379 3529  3673  4042 4411  4706  183




EXCAVATION AND EMBANKMENT TABLES.                   10
I1eptlh                 WVIDTH OF BASE. 
of  Jut                                                     Cor.
or Fill.  14    15    16    18     20     25  1 30    34 
20.0  3259  3333  3407 3556  3704 4074 4444  4741.  IS5
20.1  3287  3361  3435 3585  3734 4106 4477  4775   187
20.2  32 14  3389  3463 3614  3763 4137 4511  4810   1 8
20.3 1 3342  3417  3491  3643  37,93 4169 4544  4845   190
20.4  3370  3445  3520 3672  3823 4201  4578  4880   19:3
20.5  3398  3473  3549  3702  3854 4232 4612  4916  194'20.6  3421i  3501  3578 3731  3884  4265 4646; 4951t  1 96
20.7  3454  3530  3607 3761  3914 4297 4680  4986   1 98
20.8  3482  3558  3f636 3790  3944  4330 4714  5022  200
20.9  3510  *587  3665 3820  3975 4362 4748  5058  20.
21.0  3539  3617  3694 3850  4006 4394d  4783  5094  204
21.1  3567  3646  3723 3880  4036 4427 481i7  5130  206
21.2  35'96  3675  3762 3910  4067 4460 4852  5167  208
21.3  3625  3704  3782 3940  4098 4493 4886  5203      10
21.4  3651  3733  3812 397J0  4129  4526 4921  5275  212
21'5   3683  3763  3842 4001  4160 4559 4956  5312   214
21.6  3712  3192  3872 4032  4192 4592 4991  5349  216
21.7  3741  382 2  3902 4063  4223 4625  5026  5385  218
24.8  3770  3852  3932 4094  4255 4659  5062  54292  2-20
21.9  3809  3881  3962 4125  4286 4692 5097  5459   222




16      EXCAVATION AND EMBANKMENT TABLES.
Depth                    WIDTH OF BASE.
of Cut                                                      Cor.
or Fill.  14    15    16    18    20      25    30      34
220   3830  3911  3992 4156   4318 4726  5133  5459  224
22 1.  3859  3941  4022 4187  4350 4760  5168 5496 126
2,2.2  3889  3971  4053 4219   4382 4794  5204 5534  228
22. 3 3 3919  4002  4084 4250   4415 4828  5240 5571  230
22.4  3949  4032  4115 4281   4447 4862  5276  5608  232
22.5   3979  4063  4146  4313   4479 4896  5312  5646  234
22.6   4009  4093  4177 4345   4511  4930  5348 5683  236
22.7i  4040  4124  4208 4376   4544 4965  5384  5721  238
22.8  4070  4155  4239 4408  4577 4999  5420  5759  240
22.9  4101  4186  4270  4440   4609 5034  5457 5797  243
23.0  4132  4217  4301  4472  4643  5069  5491  5835  245
23. 4162  4248  4333 4502  4676 5103  5530  5873  247
23.2  4193  4279  4365 4536   4709 5138  5567 5912  249
23.3  4224  43 1  4397  4569  4712 5174- 59604  5.950  25 t
23.4  4255  4 3 -2  4429  4601  4776 5209  5641 5989  254
23.5  4287  4374  4460 4631  4809 5244  5678 60    255
2)2.6  4318  4406  4493 4667  4843 5 79  5715 6066  258
23.7  43D19  4437  4525 4700  4876;  5315  5753 6105  260
23.8  4381  4469  457 4733  4910  5350  5 s70 6144  263
23.'9  4413  4501  4599 476G   4944 5386  5828  G183  265




EXCAVATION AND EMBANKMIENT TABLES.                   1.7
Depllth [                WIDTH OF BASE.
of Cut                                                      C'
or Fill.  14     15  116     1IS    20  1 25  ] 30    34 
24.0  4411 4    3453 45 22  4800   4978  5'422 5856  6222 27, 
2-1.1  4 476 45f6;  4655  483.4  5(112  5458 5903  (260| 26i}
21i.2  450t8 4598   4678  4867  504   59-1- 5941   6301  721
24.3  4 1) 463   47 20 4901  508   5 53 0 59         1 5( ), 34    I
21-.l.   45743  0663  4 753 4935   5115   5567 1 018I   (3280 
21.5  405 46i    48        969 9    150 0 50;03 6050G    420 6;6  4
2J'.6  4 t;3  4729   4819 5003   518-   5640 6095    i S(41
34.57  ji)0 4=762  4853  5037   52 19  567; 6I-33    5 6      >
2:4.8  1703 4795   48-86J  5071  525-  57 13 6172  o65rI t0 2521.9!.35  4828   4920 5105   5 2.8)  5750 62;0   6580.8'250  A i    4861  4951  5139   532i 578  6 250 6    6520,'.6 9
2.  I 480' 4895   4987  5173   5359  5824  628   6t61  A I,
25.2  4835 c  49"8  502 1 5208   53.95  5861l  C327   6 0 1 I 9125.3'i808    62   5055  5212  5130) 52 99 6:36 6;742  E2t;
25.4 1149901  49)6  5(1)89  5277   565  59336 640o   67831 299
25.5  49'35   0 29  52'14 5312  550)2  5974 6445  682i  1301 I
25.6  49u8  5063  5158  5347  5537  6011 6485  6865| 303
25.7!5002  5097  5192  5382  55 3  6049 6524  6906 1306
25.8  r5036  5131  5227  541.8  56;09  6087 6564  6947 |308
25.9  15070  5166  5261  5453   5645  6125 6604   6987   1 1
J'li-:7
o~~~~~~;5 1'                     ( 98[ 1




18       EXCAVATION AND EMBANKMENT TABLES.
D cpptll 1'NAFIDTI-H OF BAJSE.
of Cut I                                                    Cor
or Fill.  14    15   1      I 1     20    2 I  | 30         I__.
26.0   510    200 52  993 6 59   568   618;3  6 G —     0  3130
G6. 1  51 3 8  5235  5331  5521   5718  6 201        7  1  315
J6.2  5172  52t9  5386  55;0   5754  6240 6  4  7 13 318
26.3  520(  5304  51901  55r98   57 9   6278  67 4  7 155 r 320
c.4  5241  53.!)  5436 56t32   5s28  6317 6805  7196  2 3
06.T5  5273  5374  5171  56i8   588(4  3r55  64.3 4 7238 1 25
2G.6   5310  5408  5507 57 04   591 11  6304  88       1    7,7  534;, 5  5111  5542 5710  5938  6433 6927  733 3 30
26.8  5380  5-i7 9  5578 5977  5975  C474 C69S    36 5 9   33 2
26.9  5415  5514  5613 58  3  602  65t 1 701)9  7407  335
27.0  5450  5550  5850 5850   G050  6550  7 0058O r 7450  337
27.   5 );8135  5588 5, 86(   5887   6087  6390  7091  7493  340
27.2  5321  5~2 1  5722 5924     25  6;629  71 32  735   42
27. 3)  5;56  5657  57658 5961   6163  6669  J 13  75 38  3 45
27.4  5592  5693  5793 55998  620i6  6708  7215  76;4  347
27.5  5627  572,9  5831  6035  (;238  6748  725i  7G4  350
27.6  56t;3  5765  5867 6072  62 6  67i 87 is98  7  8  353
27.7  5699  5801  5904  6109  6314  6828  73240  7 75  355
27.8  5736  5838  5940  6147  6353  6868 j 381  i7794  358
27.9  5771  5874  5(9    6 i 618   (6391  6908 7423  7838  360
h7-;_




EXCAVATION AND EMBANKMENT TABLES.    19
iDcpth'IDT I OF BIASE. 
of  Cut    _ _ -            — Cor.
orTill.J 14    15        16    18    20  j 25  | 30    34
28.0  5807  5911  6015  G6222  6430  6948  7466  7881  3363
28.1  5844  5948  6052  6260  6468  G989  7508  7925  366
28.2  5880  5984  6089  6298  6507  7029  7550  7969  368
28.3  5917  6021  6126  6336  6546  7070  7593  8013 1371
2'9.,  5953  6058  6163  G374  G585  7111  7635  8057  374
28.5  5990  6095  6201  6412  6624  7152  7678  8101  3 76
28 6  6027  6133  6238  6450  6663  7192  7721  8146  ) 779
2s.7  6064  6170  6276  648 c 6 02  7235  7764  8190  381
28.8  6101  6207  G314  6527  6741  7275  7807  8235  38
28.9  6139  6245  6352  6566  6780  7316  7851  8279  387
29.0  6176  623   6391  6605  6820  7357  7894  8324  389
29.1  6213  6321  6429  6644  6860  7399  7937  8369  392
29.2  6251  6359  6467  6683  6900  7441  7980  8414  395
29.3  6289  6397  6505  6722  6940  7482  8024  8459  397
29.4  6326  6434  6544   6761  6980  7524  8068  8504  400
29.5  6364  6473  G582  GS01  7020  756G  8112  8550  403
29.6  6.402  6511  6622  6841  7060  7608  8156  85'5  40629.7  6440  6550  6661  6880  7100  7651  8200  8640  409'
29.8  6479  6588  6700  6920  7141  7693  8244  8686  411
29.9  6517  6627  6739  6960  7181  7735  8288  8732  414




20        EXCAVATION AND EMBANKMIENT TABLES.
)eptlh j                 WIDTHI OF BASE.
of Cut                                                        Cor
or Till.  14    15    1 6    18    2012            30  1 34_  Co.
30.0  0556  6666  6778   7000  7222  7777 8333  8778  417
30.1  6594  6706  6817   7040  7263 7820  8377  8824 1420
8,0.2 16633  6745  6856   7080  7 304 7 863  8422  8870  423
30.3  6672  6784  6896   7120  7345 7906  8466  8916  425
30.4  6711  6823  6936   7160  7386 7949  85il1  8982'3   428
30.5 i670  6863  6975   7201  7427 7 992  8556 1 009  43
30.6  6789  6902  7015   7241 I7469 8035  8601  19055| 434
30.7  6823  6942  7055   7282  7510 8078  8646.9102  437
130.8 I 6867  6981  7095   7323  7551  8122  869 2  9!49  439
30.9 I6907  S7021  7136   7364  75393 8165  8737  9196  4-14.31.0  6946  7061  7176   740  1 7635 8209  87833  9243 1445
31.1  6986  7101  7216   7446  7677i  8253  882'8  9290  448
31.2  i7026  7141  7257   7487  7719  829 7  8874  9337  451
31.3  7 -066  7182  7297   7529  7761  8341  8920  9384 1453
1.4 17106  7222  7338   7570  7803  8385  896G6  9432  45(1
1.5 17146  7263  7379   7612  784.6  8429   0 12  9.479  459.31.6 17186  7303  7420   7654  78.8.8 8474  9058  9527  462
31.7  7 22G  7344  7461   7696  7931  8518  9104  9575  465
31.8  7267  7385  7502   7738  7973  8562  9150  9622  468
31.9  7307  7426  7544   7780  8016  8607  9107 i9670  471,.     _ _ _  _ _ _ __1_1  _ _I




EXCAVATION AND EMBANKMENT TABLES.                    21
Depth'IDTI   OF BASE.
of Cut                                                       Cor.
orFill.  14  1 15   1 16  1  8  1 20     25     30  1 34
32.0  7348  7467  7585  7822  8059  8652  9244  9719 474
32.1  7389  7508  7627  7864  8102  8697  9290  97671 477
32.2  7430  7550  7668  7907  8145  8742  9337  98151 480
32.3  7471  7591  7710  7949  8189  8787  9384  9863 482
32.4  7512  7633  7752  7992  8232  8832  9432  99121 485
32.5  7553  7674  7794  8035  8275  8877  9479  9961 488
32.6  7594  7716  7837  8078  8319  8923  9526'10009 491
32.7  7636  7758  7879  8121  8362  8968  9573 10058 494
32.8  7677  7800  7921  8164  8406  9014  9621 10107 498
32.9  7719  7842  7964  8207  8450  9059  9668 10156 501
33.0  7761  7884  8005  8250  8494  9105  9716 10206 504
33.1  7803  7926  8048  8293  8538  9152  9763 10255  507
33.2  7845  7968  8090  8337  8583  9198  9811 10304 510
33.3  7887  8011   8133  8381  8627  9244  9860 10354 513
33.4  7929  8054  8176  8424  8671   9290  9908!10403 516
33.5  7972  8096  8219  8468  8716  9337  9056 10452 519
33.6  8014  8136  8263  8512  8760  9383 10005 10508 522
33.7  8057  8182  8306  8556  8805  g430 10053 10553  525
33.8  8099  8225  8349  8600  8850  9476 10102!10603  529
38.9  8142  8268  8393  8644  8895  9523 101511106531 532




22    EXCAVATION AND EMBANKMIENT TABLES.
Depth                   WIDTH OF BASE.
of Cut                                               __    Cor.
or Fill.  14    15 1 16    18    20    25    30    34
34.0  8185  8311  8437  8689  8941  9570i 10200 10704  535
34.1  8228  8355  8481   8733  8986  9617 10248 10754 I 538
34.2  8271  8398  8524  8778  9031  9665 10297 10805  541
34.3  8315  8442  8568  8822  9077  9712 10347.10855  544
34.4  8358  8486  8612  8867  9122  9759 10396 10906  547
34.5  8401  8529  8657  8912  9168  9807110445 10957  550
34.6  8445  8573  8701   8957  9214  9854110495 11008  553
34.7  8489  8617  8745  9002  9260  9902 110544 11059  557
34.8  8532  8661  8789  9048  9306  9950 10594 11110 560
34.9  8576  8706  8834  9093  9352  9998110644 11161  563
35.0  8620  8750  8879  9139  9398 10045 10694 11213. 567
35.1  8664  8795  8924  9185  9444 110093 10744 11264  570
35.2  8709  8839  8969   9231  9491110142 10794 11316  573
35.3  8753  8884  9014  9277  9537 1090 10844 11368  577
35.4  8797  8929  9059  9323  9584 1 10238 10895 11420  580
35.5  8842  8974  9105  9369  9630 i 10287 10945 11472/ 583
35.6  8887  9018  9150  9415  9678 10336 10996 11524  586
35.7  8931  9064  9195  9461  9724 10385 11047 11576'590
35.8  8976  9109  9241   9507  9771 10433 11097 11628  593
35.9  9021  9154  9286  9553  9818' 10482 11148 11681  597
~~~~~~~~~08 14 1 81] 597i




EXCAVATION AND EMBANKMENT TABLES.                    23
I)epth                   VIDTH OF BASE.
of Cut I                                                     Cor.
or Fill.  14 4    15    16   18  1 201  25  1 30    34
36.0  9067  9200  9334  9600   9867 10533 11200 11733 600
36.1   9112  9245  9379  9647   9914 10583 11251i11786 603
36.2   9157  9291  9425  9694   9962 10632 11302 1183~ 607
36.3 i 9203  9337  9471  9741  10009  10682 11353 11892 610
36,4  9248  9383  9517  9788  10057 10731 11405i11944 614
36.5  9294  9429  9564  9835  10105 10781 11456!11998 617
36.6  9340  9475  9610  9882  10153 10831 11508 12051 62 0
36.7  9385  9521  9656  9930  10201 10881 11560'12104 624
36.8  9431  9567  9703  9977  10249 10931 11611 12158 627
36.9  9478  9614  975D0 10024  10298 10981 11663 12211 631
37.0  9524  9661  9799 110072 10346 11031 11716[12265 634
37.1  9570  9707  9844 10120  103951 11(82 11768 12318 637
37.2  9617  9754  9892 10168  10443 11132 11820 12372 641
37.3  9663  9801  9939 10216 10492 11183l 11873 12426 644
37.4  9710  9848  9986 10264  10541 11234 11925 12480 648
37,5  9757  9895 10034 10312  10590 11285 11978 12535 651
37.6  9804  9942 10082 10360  10639 11336 12031A12589 654
37.7  9857  9990 10129 10409  10688 11386 12084J12643 658
37.8  9898 10037 10177 10457  10738 11438 12137 12698 661
37.9  994510085 10208 10506  10787 114891 1219012753 665




24    EXCAVATION AND EMBANKMENT TABLES.
Depth |                  WIDTH OF BASE.
of Cut                                                       Cor.
or, i   l.l  14   |   1 5   |  16    1 8    2 0   2 5   |   3 0    34
38.0   9993,10133 10274 10555 10837 11540 12244 12807 668
38.1  10040 10181 10322 10604 10887 11592 12297 128621 672
38.2  10088 10229 10370 10653 10936 11645 12350 12917 676
38.3  10135 10277 10419 10702 10986 11697 12404112972 679
38.4  10183 10326 10467 10751 11036 11749 12458 13027 682
38.5  10231 10374 10515 1001  11086 11801 12512113083 686
38.6  10279 10422 10564 10851 11137 11853 12566 13138 690
38.7  10327 10471 10613 10900 11187 11905 12620 13194 694
38.8  10375 10519 10662 10950 11237 11957 12674 13250 697
38.9  10424 10568 10711 11000 11288 12010 12728 13305' 701
39.0  10472 10617 10761 11050 11339 12061 12783 13361 704
39.1  10521 10666 10810 11100 11390 12114 12837 13417 703
39,2  10569110717 10859 11150 11440 12167 12892 13473 712
39.3  10618 10764 10909 11200 11491 12219 12946 13529 715
39.4  10667 10813 10958 11250 11543 12272 13001 13586 719
39.5  10716 10863 11008 11301 11594 12326 13056 13646 723
39.6  10765 10912 11059 11352 11645 12379 13112 13699 726
39.7  10815 10962 11109 11403 11697 12432 13167 13755 729
39.8  10864 11011 11159 11454 11748 12485 13222 13812 733
39.9  10913 11061 11209 11505 11800 12539 13278 13869 737




EXCAVATION AND EMBANKMENT TABLES.    25
Depthi                   WIDTIHI OF BASE.
of Cut                                                         Cor.
orFill. I 14    15   16     18   20 1 25    30  1 34
40.0  10963 11111 11259 11556 1'1852 12593, 13333 13926 741
40.1  11013! 11161! 11310 11607 11904 12646 13889 13983 744
40.2  11062! 11211! 11360 11658 11956 12700  13445 14041 748
40.3  11112 11262[ 11411 11709 12008 12754 13500 14097 752
40.4  11162 11312 11462 11761 12060 12808 13556 14155 756
40.5  11213 11362 11513 11813 12113 12862 13612 14212 759
40.6  11263 11413: 11563 11864 12165 12917  13669 14270 763
40.7  11313 11464 11615 11916 12218 12971 13725 14328 767
40.8  11364 11515: 11666 11968. 12270 13026  13781 14386 771
40.9  11414 11566 11717 12020 12323 13080 13838 14444 j774
41.0  11465 11617i 11769 12072 12376 13135 13894 14502 778
41.1  11.516 11668 11820 12125 12429 13190 13951 14560 782
41.2  11567 11719 11872 12177 12482 13245' 14008 14618 786
41.3  11618; 11771 11923  12229 12535 13310 14065 14677 789
41.4  11669 11822! 11975 12282 12589 13365 14122 14735 793
41.5  11720 11874 12027 12335 1264213421  14179 14794 797
41.6  11771 11925 12079 12388 12696 13476' 14236 14853 801
41.7  11823 11977 12132 12440 12749 13522 14294 14911 805
41.8  11874 12029 12184; 12494 12803 13577 14351 14970 809
41.9  11926 12081; 12236l12547! 12857 13633  14409 15030 813
3




26       EXCAVATION AND EMBANKME NT TABLES.
Depth tWIDTH OF BASE.
of Cut, Cor.
or ill.  14    15    16    18    20       5    30     34  Co.
42.0  11978 12133 12289 12600  12911113689  14467\150891816
42.1  12030 12186. 12342 12653 12965,13745  14525 1151481 821
42.2  12032 12238 12394; 12707 13019 13S01  14582115208 824
42.3  12134 12291 12447[ 12761 13074 13857  14640 152671828
42.4  12186 12343 12500 12814 13128 13913  14699 153271 832
42.5  122381123961 12553 12868 13183J13970  14757 15387 836
42.6  12291 12449 12606 12922 13238!14026 14815 15446 840
42.7  12343!12502  12660 12976 13292114083  1 14874 15506 844
42.8  12396  12555 1271313030  13347 14140 14932 15566 848
42.9  1244912608 12767 13084 13402 14197  14991 15627!852
43.0  12502 12661  12820 13139 13457 14254 15050 15687 856
43.1  12555'127151 12874 13193 13513i14311  15109 15747 860
43.2  12608 127681 12928 13248 13568!14368 15168 15808 864
43.3  12661 12822 12982 13303 13623 14425 15227 15869 868
43.4  12715112875 13036 13358 13679i14483  15286 15929 872
43.5  12768 12929113090 13412 13735 14540  15346 15990 876
43.6  12822 12983 13145 13468 13790.14598 15405 160511 880
43.7  12875 13037 13199 13523                 15465 16112 884
43.8  12929 13091j  13254 13578 13902114714  15525 16173 888
43.9  12983 13146i 1330813633 13958 14771  15584 16235i 892




EXCAVATION AND EMBANKMENT TABLES.                    27
Depth                    WIDTH OF BASE.
of Cut                                                      Cor.
orFill.  14   1 5  1 16 1 18 1 20          5 1 30     34
44.0  13037 13200 13363 13689 14015 14830 15644 {16296{ 896
44.1  13091 13254 13418 13745 14071 14888 15705 16358 900
44.2  13145 13309 13473 13800 14128 14946 15765 16419 904
44.3  13200 13364 13528113856 14184115005 15825 16482  308
44.4  13254 13419 13583 13912 14241 15063:15885 16543 913
44.5  13309 13474 13638 13968 14298 15122 15946 166051 9'17
44.6  13363 13529 13694 14024 14355 15180 16006 16667 921
44.7  13418 18584 13749 14080 14412 15239 16067 16729 925
44.8  13473 13639 13805 14137 14469 15298 16128 16792 929
44.9  13528 13694 13861 14193 14526 15357 16189 16854 933
45.0  13583 13750113917 14250 14583115417 16250 16917 937
45.1  13639 13806 13973 14307 14641 115476 16311 16979 94l
45.2  13694 13861 14029 14364 14699 15535 16372 17042 I 946
45.3  13749 13917 14085 14421 14756 15595 16434 17105  950
45.4  13805 13973 14141 14478 14814 15655 16495 171681 954
45.5  138611140291 14198 14535 14872 15714 16557 17231 l 958
45.6  13916 14085 14254 14592 14930 15774 1 6619 172941 962
45.7  13972,14142 14311 14649 14989 15834 16670 173581 966
45.8  14028 14198 14368 14707 15047 15894 16742 17491 I 970
45.9  14084 14254 14424 14765 15105 15954 116804 1748411 974
I'               _ _ _ __I_  I _ _ _             1




28       EXCAVATION AND EMBANKMENT TABLES.
Depth                    FIDT   O  BS.
of Cutlt                 WIDTH OF BASE.                      Cor.
or Fill.  14J 1l5  1 16      18    20    25  1 30    34
46.0  14141 14311 14481 14822 15164 16015 168671754   979
46.1  14197 14368 14539 14880 15223 16075 16929 17612  983
46.2  14254 14425 14596 14938 15281 16136 16991 17676 987
47.3  14310 14482 14653 14996 15340 16196 17054 17740 992
46.4  14367 14539 14711 15054 15399 16257 17116 17804  997
46.5  14424 14596 14768 15112 15458 16318 17179117868Q 1001
46.6  14480 14653 14826 15171 15516 16379 17242 17932 1005
46.7  14528 14710 14883 15229 15575 16440 17305117997 1009
46.8  14585 14768 14941 15288 15636 16501 17368 1806 1 014
46.9  14642 14826 14999 1 5347 15695 16563 17431 18126' 1018
47.0  14709 14883 15057 15406 15755 16624 17494 18191 1023
47.1  14767 14941 15116 15465 15814 16686 17558 18256 1027
47.2  14824.14999 15174 15524 15874 116747 17621 18321' 1031
47.3  14882 15057 15232 15582 15934 16809 17685 18386 1035
47.4  14940&15115 15291 15642 15994 16871 17749 184511 1040
47.5  14998115174 15350 15701 16054 16933 178121185161 1045
47.6  15056 115232 15408'15761 16114 16995 17876 18582; 1049
47.7  15114 15290 15467 15820 16174 17057 17940 186471 1053
47.8  15172 15349 15526 15880 16234 17119 180051]8713 1058
47.9  15230 15408 15585 15940 16295 117182 18069 18779 1062
i II




EXCAVATION AND EMBANKMENT TABLES.    29
Deptlh                  WVIDTH OF BASE.
of Cut                                                       Cor.
or Fill.  14    1 5 1 16     18   20    25     30    34Cor
48.0 11-5289 1 5467 15644  16000 16356 17244 18133 18844 1066
48.1 15347 15526 15704  16061 16416 17307 18193 18910 1071
48.2  15406 15585 15763  16120 16477 17370 18262 18976 1076
48.3  15465 15644 15823  16181 16538 1 7433 18327 19043 1080
48.4  15524 15703 15882  16241 16599 17496 18392 1 9109 1084
48.5  15583 15762 15942  16301 16661 17559 18487 19175 1089
48.6  15642 15822 16002  1636216722 17672 1.8522 1 9242 1094
48.7  15701.15882 16062  16423116783 17685 18587 19309 1099
48.8  15761 15941 16122  16484]16845 17749 18652 19375  103
48.9  15820 16001 16182  16545116907 17812 1 8718 19442 1107
49.0  15880 16061 16242  16606 16969 17876 18783 19509 1112
49.1  15939 16121 16303  16667117030 17940 18849 19576 1116
49.2  1 6000  1681 16363  16728 17092 18004 18915 19644 1121
49.3  16059 16242 16424  16789 17155 18068 18980 19711 1125
49.4  16119 16302 16485  16851 17216 18132 19046 19778 1129
49.5  16179 16363 16546  16913 17279 18196 19112 19846 1134
49.6  16239 16423 16607  16974 17342 18260 19179 19913 1139
49.7  16300 16484 16668  17036 17404 18325 1-9245 19981 1144
49.8  16359 16545 16729  17098 17467 18389 I9311 20049 1149
49.9  16421 16606 16890  17160 17530 18454 19378 20117 1153
50.0  116481 16667 16852  17222 17593 18510 19444 20185 1157




30
CONTENTS OF ONE LINEAL FOOT OF SEMI-CIt. ARCH.
THICKNESS OF SHEETING.
SPAN.  lFT.  1 4FT. I1 2FT. 1 3y4FT. 1 2 FT. 1 214 FT. I1 2y2IT
5 sfeet.  9.42    12.27   15.32   18.55    21.99   25.62   29.45
6     11.00   14.23   17.67   21.30    25.13   29.15:33.3'
7     12.57   16.20   20.03   24.05    28.27   32.69 i 37.31
8      14.14   18.16   22.38   26.80    31.41   36.22   41.24
9      15.71    20.13   24.74   29.55    34.56   3'9.74  45.16
10      17.28   22.09   27.10   32.30    37.70   43.29 } 49.09
11      18.85   24.05   29.45   25.05    40.84   46.83   53.02
12    1 20.42   26.02  331.81   37.80    43.98   50.36   56.95
13     21.99   27.98   34.16   40.55    47.12   53.89   60.88
14     23.56   29.94   36.52   43.30    50.27  57.43   64.80
15     25.13   31.91   38.88   46.04    53.41   60.96   68.72
16     26.70   33.87   41.23   48.79    56.55   64.50   7 72.65
18     29.84   37.80   45.95   54.28    62.84   71.57   80.51
20    1 32.98   41.72   50.66   59.78    69.12   78.64   88.37
22    j 36.12   45.65   55.37   65.28    75.40   85.71   96.22
24     39.26   49.58   60.08   70.78    81.69   92.78  104.07
26    1 42.40   53.50   64.79   76.28    87.97 - 99.85  111.92
28     45.55   57.43   69.50   81.77    94.26  106.92  1 19.78
30     48.69   61.35   74.21   87.27   100.53  113.99 127.63




31
FORMULA AND TABLE,
For estimating the quantity of masonry necessary for an abutment
of thQ usual size for a single track embankment, when road bed=
15 feet; thickness of wall at top=3 feet; thickness of base=4-10
of the height; slope of embahlkment=3 to 2; and wings in the line
of the face.
Quantity in cubic feet=-h +6h2 +22.5 h.
5
IIEIGItT |O. OF               NO. OF                NO. OF
IN FEET. PERCHES.J HEIGHT. PERCHES.I( HEIGHT.  PERCHES.
8      26.65       18      140.61      28       388.97
9      33.37       19      158.61       29      423.05
10      41.00       20      178.00      30       459.00
11      49.58       21      198.82      31       496.86
12      59.18       22      221.14      32       536.70
13      69.83       23      224.99      33       578.56
14      81.59       24      270.44       34      622.47
15      94.50       25      297.50      35       668.50
16     108.61       26      326,25      36       716.68
17     123.96       27      358.72      37       767.08
*-Perches of 25 cubic feet.




FORMULA
For finding the equivalent cut or fill of an irregular cross section, havinc/
the centre cut or fill and the side distance given,-the slope of the bani
being three to two.
Let 71 and m=the side distances; wivthee width of road bed at grade 
h —center cut or fill.
Then eqniv. cut or fill= (=nt-m) (w+-3 Ii)  W
Or, arithmetically e:rpressed:
Multiply the center cut or fill by three; to the product add the
width of the road bed at grade; multiply this sum by the sum of the
side distances; divide the product by nine; extract the square root of
the quotient; and from the square root subtract one-third of the width
of the road bed at grade. The remainder is the equivalent cut or fill
required.
The above rule and formula, are by Mr. William Rock, C. E. of
Lawrenceburg, Ia., and are here inserted by his permission. They
were first published in Appleton's Engineers' Magazine, (May 1851,)
where a fall demonstration may be found.