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S. •v/* rv.M,ya BROCKVILLE : PRINTED BY DAVID WYLIE, RECORDER OFFICE. 1855. / 'i' . Oi^t .'Jfti »<<: SsnjB ) • ' Ci '-'V i^'^t b''.ni}iiiiii i'i'.ji ill a. Ik^ i.>;ji is ■.-Jli. sftlo liiltrrn nrli biff? TodijI PREFACE. rty ,5 ; ., hi T have been induced to prepare the following Tables, from the conviction, that a want is felt by the parties now engaged upon the construction of the Grand Trunk Railway, (or a complete set of Harthwcrk Tables, calculated for all the Bases and Slopes now used in the construction of the Road. I havo introduced two Series of Tables, the first Series consists of eight Tables, calculated by the Frismoidal Rule ; therefore, exhibiting the true cubic quantities for all depths of cutting or heights of embankment from up to 30 feet, and foir a length of one hundred feet. By means of this Series of Tables, the true cubic quantities, either in cuttings or embank- ments, are found by inspection only^ and toithout any calculation whatever ; thus reducing the great labor and the multiplicity of figures attending the calculation of the Earthwork—to almost nothing. This Series will be found to be very useful in iv PREFACE. making np the Returns of the Earthwork for the Monthly Estimates, where expedition with accu- racy is so necessary. To Sub-Contractors on the work, this Series of Tables will be invaluable, from the fact, that it will enable ihem to do what they would otherwise have to employ an Engineer to do for them. The second Series of Tables was calculated firsts and the first Series by aid of the second. The second Series embraces eight Tables, with ihe same Bases and Slopes as those in the first, and calculated from one-tenth of a foot up to 30 feet, both for cuttings and embankments, but they are not calculated according to the Prismoidal Rule, because the quantities exhibited by the second Series are only for level cuttings or fillings having the same height or depth at the opposite ends of each one hundred feet station. If it is thought necessary, the calculations by these Tables may be carried out to a much greater degree of nicety by applying the Prismoidal Rule to the quantities given by the Tables, which are for every tenth of a foot, whereas the first Series is caloula- |94 for even feet only. Method of Diing the Firit Seriei of Tables. XXAMPLK. Suppose in a Railway cutting, with a base or road bed of 22 feet, and side slopes of 1^ to 1, at one end of a hundred feet station, the cutting is 5 feet, at the other end 27 feet, look in Table No. 2, page 14 ; place a finger on 5 in the first column, another on 27 in the horizontal column at the head of the Table ; move the first finger horizontally, and the second downwards until they intersect, at which place you "Will find 2950, the actual cubic yards contained m a cutting 5 feet deep at one end, and 27 feet at the other, and for a length of one hundred feet — this example holds good for all the Tables in this Series. The above exemplification of the practical use of the Tables speaks for itself. Observe, all that is necessary to be known is, the width of road bed, the ratio of side slopes, and the two end depths, and you have by aid of the Tables, and by inspec-^ tion onty^ the true cubic quantities contained in each 100 feet station. If the end depths or heights are in feet and decimals, the usual mode is to take the nearest foot^ if the depth of cutting at one end is 5-2 feet, and at the other end 27*8 feet, look upon them as 5 feet and 28 feet, and take out the cubic yards from the Tables accordingly. If it becomes necessary, from irregularities in the ground in the direction of the line of the Railway, to take levels nearer together than 100 feet, only the same proportional parts of the cubie yards are to be taken from the Tables. FIRST SERIES OF TABLES, •».. *. • If < I %» n » t: n ■ ! y >! lif re^nrK^t !>':'«• :io; f r mw. \M\t i*r40^iii'vlc>i J wi)*,- \\\U m^\ \ > s:tTiM;U^i*I ^ ^^f •f** ' , \ I M:;-c;1 /•r nyf,^' i i i I h -B8ii»r]:rr8£T r!8TarH!;c)U(!ta!!or"-'^-'^t^'^^"-^''^^^- TABLE NO. I, SINGLE TUAOK. TatilM of K0;2869 2738 2800 28^3,2927 280ll2864 292712991 c u . yds cu . yds co . yda 12791333 1389 13251380 1435 137214271483 141914741530 14671522 1579 15151571 1628 156416211678 16141671 1728 1664 1721 1779 17151772 1830 1767 1824 1883 181918771936 1871 19301989 1925 19842043 2097 2093 2153 2208 2265 2322 2380 2438 2497 2557 2617 2678 2789 2801 2800 2S64 2f?fe7 2991 3055 2034 20892148 21452205 2142122012261 22582319 23162377 231423742435 2372243^2495 24322493 2555 2492 25532615 255226142676 ?^nr ■ \ '> K ' B 11 01 TABLE NO. «, SINGLE TRACK. • Table ofCiiiy Excavation, Base 99 foet. Slopes 1^ to I, Chain 100 feet Ovpth ■tone end in feet. 1 2 3 ■A 5 6 7 8 9 10 11 12 13 14 16 ! 17 i 18 21 22 ltd Depth at the other end of the 100 feet etation in feet. 1 en. yd* 43 87 135 187 243 302 365 431 502 576 654 735 820 909 1002 1098 1198 1302 1409 1520 1635 1876 ^S2002 04^132 eo.ydf 89 135 185 239 296 357 422 491 563 639 718 802 889 980 1074 1172 1274 1380 1489 1602 1718 17551839 1963 2091 2222 22652357 2402 eu.yd> 139 187 239 294 354 416 483 554 628 705 787 872 961 1054 1150 1250 1354 1461 1572 1687 1805 1928 2054 2183 2317 2454 4 2554 249625942696 ir7rd643 2639 2739 2843 1^^6872785 2S87 2993 Hf9d8852935i0393l46 cu.ydsca.ydc 193 250 243 302 296 357 354 416 415 480 480 546 548 617 620 691 696 768 776 850 859 935 946 1024 10371117 11311213 12291313 1331 1417 14371524 1546 1635 1659 1750 1776 1868 18961981 20202117 21482246 2280 238024832591 2415251726222731 cu.ydt 311 365 422 483 548 817 689 765 844 928 1015 1105 1200 1298 1400 1505 1615 1727 1844 1965 2089 2217 2657 3257a»1^a4%£3ffiiat '^987|dGt9b3 1 9413904 Silt 3l^3|l5^3Jri^l 8 cu.yds 376 431 491 554 620 691 765 843 924 1009 1098 119) 1287 1387 1491 1598 1709 1824 1943 2065 2191 2320 234812454 on.yd« 446 502 563 628 696 768 844 924 1094 1185 CO. yd* 517 576 639 705 776 850 928 1009 10071094 1183 1276 1280 1372 1378 U72 1480 1576 1585 1694 1807 2034 1683 1794 1909 19242028 2150 27652876 280229113034 295030613^76 3102S21!53$11; 21682276 22962405 2428 10 ou.yde 593 654 718 787 859 935 1015 1098 1185 1270 1370 1468 1570 1676 1783 1898 2015 2135 2259 2387 2519 25392651 2563!2676;2793 2702 2844 2991 2817,2935 29613081 31098231 3141 3261 82948417 umzsmz'^m 8tl43 TABLE NO, «, (CXJNTCNUED.) SINGLE TRACK. Tabl« of Clay Exc»vatiou, Bsm 23 feet, 8lop«s 1^ to 1, Cbniii 100 feel. 0«pth atone and in feet. 1 o *0 3 4 5 Depth ftt the other end of the 100 feet station in feet. 11 12 CO. yds 472 735 802 872 946 1024 611105 7 8 9 10 U 12 13 14 15 m n 1191 1280 1372 1468 1568 1672 1779 189) 2006 2124 2246 1812372 19 20 CD. yds 755 820 889 961 1037 1117 13 on. yds 842 909 980 1054 113l| 1213 14 ca.yds 933 1002 1074 1150 1229 1313 15 cu.yds 1028 1098 1172 1250 1331 1417 1200129814001505 1287138714911598 1378 1480 1585! 16 94 1472157616831794 I570|16761785jl898 167211779 189112006 16 cu.yds 1126 119s 1274 1354 1437 1524 1615 17 cu.ydi* 1228 1302 1380 1461 1546 1635 18 uu.yds 1333 1409 1489 1572 1659 1750 1727 1844 170918241943 180719242034 19092028 2150 2015 2135 2259 m 2237 2361 2489 25O2I262O 2635 2772 2913 3057 3205 21 22 23 24 253357 mzM^z^m 2^3Sa5 i^ 4002 4139 1778 1887 2000 18872000 199S2113 21172231 2756 2894 3037 3 183 33^ 3487 367213^33942 2113 2354 2480 2609 2743 2880 3030 3165 3313 3465 3779 897041094^32 ^aj^jE^ta^i^iiJQy 2230 2117 2231 2350 23502472 2474 2602 2733 2868 3007 3 1 50 3296 3446 19 cu.ydif 1443 1520 1602 1687 1776 1868 1965 2065 2168 2276 2387 20 1555 1635 1718 1805 1896 19811 20891 2l91i 2296 2405 251 9i 2 124 22462372 2502 2635 2237 236 1 j2489 262012756, •2354 2480 2609!2743;2880i 24742602 2598 2598 2726 2728 2SI57 2861,2992 2998J3131 3139 3274 36003739388? 36203767 39 18 40d3 3283 3431 3583 3420 3570 3724 389840434191 40614207 4228 4376 49SQ|i^4 Wt'l i4724 4880 4l*^4j904^0il 2728 2857 2991 3128 3413 3561 3868 27331 2861 2992 3128 3267 3269 3409 3555 3705 37133859 40284173 4017 4357 45284633 4342 I 4511 28681300 2998!3t39 3131 3269 32741 3413 34093855 3554 3702 3854 4398 4548 4702 4859 5020 $ tt5 5036 6202 58«8| It^ 8702 4006 4009^4 lCt3 416843H 433 1 4489 4498 4tS^ 46684810 4848 &00!d TABLE NO. «, (CONTINUED), SINGLE TRACK. TablH of Clay Kxcavaiion. Base 22 feet. Siopea 1^ to 1. Chain 100 feet. Depth at one end in feet. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 If) 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Depth at the other end of the 100 feet station in feet. •21 ou. yds 1672 1755 1839 1928 2020 2117 2217 2320 2428 2539 2654 2772 2894 3020 3150 3283 3420 3561 3705 3854 4006 4161 4320 4483 4650 4820 4994 5172 5354 5539 5728 14 22 f 23 cu.yd* 1794 1876 1963 2054 2148 2246 2348 2454 2563 2676 2793 2913 3037 3165 3296 3431 3570 3713 3859 4009 4163 4320 4481 4646 4815 4987 5163 5342 5526 5713 5904 cu.yds 1917 2002 •2091 2183 2280 2380 2483 2591 2702 2817 2935 3057 3183 3313 3446 3583 3724 3868 4017 4168 24 cu.yds 2044 2132 2317 2415 2517 2622 273 1 2844 2961 3081 3205 J333 j465 3600 3739 3881 4028 4178 4331 25 , 26 43244489 4483 4646 4813 4983 5157 5335 5516 5702 5891 6083 4650 4815 4983 5155 5331 5511 5694 5882 6072 6267 cu.yds 2176 2265 2357 2454 2554 2657 2765 2876 2991 3109 3231 3357 3487 3620 3757 3898 1.043 4191 4342 4498 4657 4830 cu.yds 2311 2402 2496 2594 2696 2802 2911 3024 3141 3261 3385 3513 3644 3779 3918 4061 4207 4357 4511 466S 27 cu.yds 2450 2543 2639 28 cu.yds 2593 2687 2785 27392887 28432993 2950 3102 3061 3176 3294 3417 3543 3215 3331 3452 3576 3704 29 cu.yds 2739 2835 2935 3039 3146 32.57 3372 3491 3613 3739 3868 30 4820 4987 5157 5331 5509 5691 5876 6065 6257 6454 4994 5163 5335 5511 5691 5874 6061 6252 6446 3672 3835 4002 38053970 4139 394241094280 4083,42524424 42284398 4376 4528 1683 4843 5005 5172 5342 5516 5694 5876 6061 6250 6443 5639 6644)6839 4548 4702 4859 5020 5185 5354 5526 5702 5882 6065 6252 6443 6637 6835 7037 4572 cu. yds 2889 2987 3089 3194 3304 3416 3533 3654 3778 3905 4037 4172 43U 4454 4600 4750 4724 4904 4880 5061 5039 5222 5202 5387 5368 5555 5539 5728 5713 5891 6072 6257 6446 6639 6835 7035 7239 0904 6083 6267 6454 6644 6839 7037 7239 7444 l'30 Islcu. yd»l 92889 :5k>987 15|3089 jy|3l94< 163304 5734,16 723533 ,913654 113 3778 f393905 J684.037I 302 139 28044541 4.2414600 57214750 ,7244904 ,880 5061 )0395222 )2025387 33685555 553915728 571310904 58916083 160726267 162576454 64466644 6639|6839 683517037 , 7035 7239 ?l7239i7444 TABLE NO. 3, SINOLE TRACK. Table ofKxcnvatioii iu Sand anti Gravel, Hase 23 feei, Slopes 3 to 1, Clinin 100 feet Depth It one t'lul in feet. 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 M 43 89 140 195 256 321 391 466 547 632 722 817 917 1022 li32 1247 1367 1491 1621 1755 1895 Depth at the niher em) of the 100 feet siatinn in feet. cu-ydfcu/yd" cu.ydi* 91 140 193 251 313 381 454 532 615 702 795 892 995 1102 1215 1332 1454 1581 n;i4 1851 1992 20392139 21892291 2343 2503 2667 277^ 2836 mmi^ c^32!1f? 34831 2 '"8 2610 2948 3125 144 195 '251 311 376 447 522 602 688 778 873 973 1078 1188 1302 1422 1547 1676 1811 1950 2095 2244 2399 2558 2722 2691 3065 3244 202 256 313 376 444 517 695 678 765 558 956 1058 1165 1278 1395 1517 1644 1776 1913 2055 2202 235,4 2511 2673 2839 3011 3188 3369 3556 6 cu.yde 265 321 381 447 517 593 673 768 848 943 1043 1148 1258 1373 1493 1617 1747 1881 2Q21 21652280 cu. vd« 333 391 454 522 595 673 755 843 936 1033 im 1243 1355 1473 pu.yds 406 466 532 602 678 758 843 933 1028 1128 1233 1343 1458 1578 15951702 17221832 18541966 19912106 2133 2315 2469 2628 2793 2962 3136 3313 3499 3881 2432 2589 2751 2917 3089 3265 8 2251 2400 2054 2713 2878 3047 3221 3400 cu.ydr 484 547 615 688 765 848 936 10^8 1126 1228 1336 1448 1565 1688 1815 1947 2084 2226 2373 2525 2681 2843 3010 3181 3358 3^39 10 cu.yds 567 632 702 778 858 943 1033 1128 1228 1333 1443 1558 1678 1802 1932 2066 2206 2351 2500 2654 2813 2978 3147 3321 3500 3684 34473584 3633 37738917 382539664114 402141654315 cu.ydi" 654 722 795 873 '956 1043 1136 1^33 1336 1443 1556 1673 1795 1922 2054 2191 2333 24-80 2632 2789 2951 3117 3289 3465 3647 3833 3726[3873 4067 4285 4469 4025 4221 4422 4628 4§78|4§3^ M TABLE NO. 3, (CONTINUED,) SINGLE TUAOK. Ttihltt of Excavation in Sand and Oravol, Hose 23 feet, Slopea 2 lu 1, Cliain 100 fcou i>epih tit tnie end III feet. Depth at the other end of the 100 Teet itatiun in foot. 11 ou.yds 747 817 892 973 10^8 1148 1243 1343 1448 1558 );673 12 en. yds 844 917 995 1078 1165 1258 1355 1458 1565 1678 1795 13 en. yds 947 1022 1102 1188 1278 1373 1473 1578 1688 1802 14 cu.ydd 1054 1132 1215 1302 1395 1493 1595 1702 1815 1932 19222054 2047 2 182 232 j 17921917 191720442177 2ai4 20472177 23112451 2182231424512593 2321245625952739 •U65 2615 2769 2928 3436 2602 2754 2911 3073 3239 a4.ll 15 cu.yds 1167 1247 1332 1422 1517 1617 1722 1832 1947 2066 2191 16 17 18 I 19 20 cu.yds 1284 1367 1454 1547 1644 1747 1854 1966 2084 2206 2333 2465 2602 2744 cu.yds 1406 1491 1581 1676 1776 1881 19912133 2280 2106122512400 2456 2595 27392891 28893043 cu.yds cu.yds 1533 1665 162l|l755 17141851 1811|1950 1913 2055 20212165 2744 2899 3058 3222 3391 3565 2891 3048 3210 3376 t $6^15 376539284093 ^7^9. :J956|4H74284|4455 """"" 4430465^ 43431451046814858 ;;j^^d^i474ajii 7 43SA 4544 47^3 4888 „,;«84W4475049225099 aflj4W496i 5136 5315 '?qSQ06 517853545536 |6 3043 3202 3367 3536 3725 37^43906 35483710 4073 4262 2226 2351 2480 2615 2754 2899 3048 3202 2373 2500 2525 2654 26322789 3200 3362 3528 3700 3877 3362 3528 3526 3695 3695 3867 38694043 388940584232 2769.2928 2911 3058 3210 3367 1 Ti n •II CI fi 4048 42444421 4436 4632 4225 4411 4602 3073 3222 3376 3536 3700 3869 4043 422-2 44ry6 4595 cu.yds 1802 1895 1992 3095 2202 2315 2432 2554 2681 2813 2951 3093 32391 3391 3548 3710 3877 4048 4225 4406 4593 4784 47894980 14615,47994988 6191 4833 5039 5067 5251 5280|54Q7 5499 5722 5914 481415000 5017i5r*06 5613 fii43£'', 563315832 56f>8 5854 6055 568715^826080 61106311 5181 5388 540015599 8S184 651^ 5815 6036 626? 6492 6728 TAUI.K NO. 3, (CONTINUED,) SINGLE TIlACIil. Table of Hxcavaiioii iii Sand and GniYel, Uuse 39 feet, Slopes !ltu 1, Chain tOO feci. Depth )it one call in feet. Depth at the other end of the 100 ft'et itation in feet. 1 o 3 4 h 6 7 8 9 10 21 22 en. yds 19U 2039 2139 2244 2354 2469 2589 2713 2843 2978 3117 oa.yd> 2091 2291 23 cu.ydt 2243 21892343 2448 24 ca.yds 2400 2503 2610 25 1 26 27 239925582722 3262 3411 3565 3725 3889 4058 4232 11 12 13 14 15 16 17 1814411 194695 2511 2628 2751 2878 3010 3147 3289 3436 3588 3744 3906 4073 20 21 23 2673 2793 2917 3047 3181 3321 3465 3615 3765 3928 4093 4262 2839 2962 3089 3221 3358 3500 3647 3799 3956 4117 4284 4455 en. yd* 2562 2667 2776 2891 3011 3136 cu.ydecu.ydt 27282900 28363010 29483125 30653244 31883369 331534993688 28 ctt.ydi 3C76 ctt.yd* 3S58 3306 3412 355 29 31993973 3493 36^7 3W 388) 42444436 4421 4602 4615 4799 47894988 4784 49t8 5176 r^<^^24 23 5380 6589 4980 5176 5378 5584 5795 t)( ii 26 ;6021 &55802 3265 3447363^3825 3400358437733966 3539372639174114 3684]3873 4067 4265 3833 4025 4221f4422 39884181 5181 5380 5584 5793 6006* 4632 4814 5OO0' 5191 5388 4147 4311 4480 4654 4833 5017 5206 5400 5599 30 cu.ydjo 444 562 3684 3811 3943 4080 4021 4165 4315 446 462 6M1'^225 if 27,62446458667$ ms^ U4$ 6)569 6895 7126 4343 4510 4681 4858 5039 5226 5417 5613 5815 4380 4544 4713 4888 5067 5251 5439 5633 5835i 603^6 4584 ^750 4922 5099 5280 5467 5658 5B54 6055 626^ 4222 4369 [4521 ;4678 4839 47925006 4962 5178 5136 5315 5499 5687 58^2 6080 5354 5536 5722 5^914 61 10 6311 5589 58()2 57956011 60<)6 6225 6'222 6443 6443 6B67 6021 6232 6448 "2S^478 mmfi^i'^ m^ nm 7602 ^^mm 692471:48 1^37776167^848 30je944(7l657359l 7622 69007128 7658 e458 6089 6676;6!910 66^9¥?OQ7ia.6i t^7? 6^95 73627600 7 I$f 8^7387 76l(^7S5 7843 8091 BO^ 8344 §{^95 7843 808918 83IOteii# w TABLE NO. 4, SINGLE TKACK. Trtble o( Kock KmlMiiikmeiit, UiiAe 18 feet, MIopes I to 1, Chain UK) iVei. ileight It (HiC 18 f>'*\. 8lopi>n I in I. Olmin 100 fttDl. III one fiiil ill feet. It 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Ileiglu ai tlie other end o( the 100 feel itiatioi! I>; fcei. 12 cu.ydr f)lf) f)64 66& 7i>3 781 842 905 970 1038 1109 1181 1257 1334 1415 1498 1583 1670 1760 u.y(li> 578 627 679 733 790 849 911 975 1042 1111 1183 1257 1333 1412 1494- 1579 1665 1753 1844 13 21 22 23 24 25 26 27 28 29 30 1853|1938 19482034 2046 2133 2146 2234 22482338 2353 2444 24602553 cll.ylJ^ 642 693 746 801 859 920 983 1048 1116 1186 1259 1334 1412 1493 1575 1660 1748 1838 1931 2026 2123 2223 2326 2431 2538 25702664 2683 2778 2797 2894 29153012 3035 3133 14 ■u.ydi 709 760 815 871 931 993 1057 1123 1193 1264 1338 1415 1494 1575 1659 1746 1835 1926 2020 2116 2215 2316 2420 2526 2634 15 16 17 18 I 19 20 cu.ydii cu.y(|f< 26482746 2760 2875 2993 3112 3234 778 831 886 944 1005 1068 1133 1201 1271 1344 1420 1498 1579 1660 1746 1833 1923 2016 2111 2208 2308 2411 2516 2623 2733 2845 eu.ydi«cu.ycJ(* 9231000 &79 1057 2 2975 3094 3215 3338 1037 1098 !160 1226 1294 1364 849 904 960 1020 1081 1146 1212 1281 1353 142"; 1504 1583 1665 1748 1835 1923 2015 2108 2205 2304 240 1 2405 1116 1178 1242 1309 1378 1449 1437|1523 15121600 1590!l679 1670 1753 1838 1760 1844 1931 cu.yd&cu.yd^ 1926 2020 20162111 107V 1137, 1197 1260 1326 1394 1464 1537 1612 1690 1770 1853 1 938 2026 2116 2208 21082205 22042301 23012400 2501 25042605 28592960 3078 3197 2509 2615 2723 2834 2948 3064 3183 3304 1160 1220 1281 1346 1412 1481 1553 1627 1704 1783 1864 1948 2034 2123 2215 2308 3320 3427 3444 3553 2609 ^716 2826 2938 3053 3170 3290 3412 3537 3664 2711 2820 2931 3044 3160 3279 3400 2304 2405 24012504 250l|2605 2604,2708 27082815 2816'2923 2926;3035 3038:3148 315313264 32703383 3649 3778 3390 3512 35233637 3764 3894 3503 3627 3753 3881 4012 19 TAlJIiE NO. 4, (CONTINUKD), SINOLK TUACK. T«ibl« **( K' oW KinitmiikiiMfii. }Uvu] 18 fori. S|.»|m«ii I i.) iy 3146 314632593375 32603375 3493 337834943612 34983615 3735 2431 2526 2623 2723 2826 2931 3038 2538 2634 2733 cu . yd* 1605 1670 1738 1809 1881 1957 2034 2115 2197 2283 2370 2460 2553 2648 2746 2845 Ctt.yda 1701 1768 1837 1909 1983 2059 2138 2220 2304 2390 2479 2570 2664 2760 2859 2960 ou.ydN 18001901 on.yd* 1868 1938 2011 2086 21642271 1970 2042 2116 2192 cu.ydt 2005 2075 2244 2327 2412 2500 2590 2683 2778 •2875 2615 2716 2820 2926 30353148 3260 2834 2938 3044 3153 3264 3378 3494 3612 3857 30 cu.yd** 2111 2183 2148i2257 2223:2333 230112412 2381 12494 23532461^2578 2437 2549 2664 25232637 2753 2612272T2844 270428202938 2948 3053 3160 3270 3383 3498 3615 3735 3857 ^613620 3738 3859 3993 4108 744 3864 3986 87239924116 40t)i 4129 if%^9 437^ •r ?f9 3'0[4133'4i57i383 *-t-i *»!». <■ ; 3064 3170 3279 3390 3503 3620 3738 3859 3983 2797 2894 ,2993 2975^094 30783197 31833304 32903412 34003523 35123637 3627(3753 37443872 3864 3992 2915 3012 3112 3215 3320 3427 3537 3035 3133 2234 3338 3444 3553 3664 3986 Mil 36493778 3764 3894 38814012 4116 4242 3931 4108 4238 437Q 4505 4Q42 4001 4123 4248 4375!45n 4133 4^57 4383 4111 4242 f 370 4511 4?37 4368 4501 45054637 464647754911 43^8 4500 4034 4771 4501 4634 4909 ,6049 46374775 47714911 47704909^049 5^4^6190 61«05»3^ 1^ •,. TABLE NO. *, 8INOLE TUACK. TiiMo ofChiy EtnlMiiikm«nl, Ubm 18 feet, btopci 1| to 1, Chniii 100 ffcl. 30 Kuighl at iinc • ml ill feci. 26 Height 11 the other end of the 100 feet itation in foat. 4 cu . yd* cu . ydt cu . ydH cu. yd« 1 o 3 4 5 6 7 8 9 10 11 12 13 H 15 16 17 18 19 20 35 72 113 157 205 257 313 372 4.35 502 572 646 724 805 891 980 1072 1168 1268 1372 1480 74 113 155 202 252 305 363 424 6 cu.yd* eu.yds 117 157 202 250 302 357 417 480 163 205 252 302 355 413 213 257 305 357 413 472 489 546 >.!• 1591 1705 1824 1946 21 22 23 24 262072 557 630 705 785 868 955 1046 1141 1239 1341 1446 1555 1668 1785 1905 2030 2157 474 535 539 602 &202 21^23352424 2824722563 292613 30 27 W 2852 617 691 768 850 935 1024 1117 1213 1313 1417 1524 1635 1750 1868 1991 2117 2246 22892380 2517 2651' 27056802 607 680 755 835 918 1005 1096 1191 1289 1391 1496 1605 1718 1835 1955 2080 2207 2339 2474 2613 2755 2^ 29503052 267 313 363 417 474 535 ou.ydi 324 372 424 480 539 602 8 600 668 672 746 824 905 991 1080 1172 1268 1368 1472 1580 1691 1805 1924 2046 2172 23021 2435 2572 2713 2857 3005 3157 668 741 817 896 980 1067 1157 1252 1350 739 813 891 972 cu.ydii 385 435 489 546 607 672 741 813 889 968 1052 10 cii.ydscu. yd* 450 518 1057 1146 1239 1335 1435 1452 1539 15571646 1667 1780 1896 2017 2141 1757 1872 1991 2113 1139 1230 1324 1422 1524 1630 1739 1852 1968 20892181 2213 22392341 22682368 24002502 25352639 26742780 28172924 502 657 617 680 746 817 891 968 1050 1135 1224 1317 1413 1513 1617 1724 1835 1960 20682172 572 630 691 755 824 896 972 1052 1135 1222 1313 1407 1505 1607 1713 1822 1935 2052 2317 2446 2472(2580 2963 3113 32671 3072 3524 mo 2607 2746 2889 3035 3185 2717 2857 3002 2296 2424 2555 2697 2830 2972 ^118 31503268 3302 333913457 3496 3i517 3422 3580 3741 21 TABLE TUM* E NO. 5, of Ciy Btntwtik (CONTINUKD.) HINCiLH TltACIC. KtnlNiiiknietit, Hum 18 r««i, MIopra 1^ to I, Chain UM) intit. til on* «-ii«l III r«ot. 1 11 12 Ilaiglit •! Ui« oih«r tiid of the 100 Tmhi •mijoii In (vrt. ou.yU* 591 646 705 768 905 980 1057 1139 cu.yJ* 667 724 785 850 918 991 1067 1146 1230 12241317 '}■ Hi 'J f f" { ■h n 273301 D" '*-!— 1313 1405 1502 1602 1705 1813 13 14 u.yils cu.ycU 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 30 21 22 23280512924 24 25 1407 r lf)02 1600 170ii 1807 1917 746 805 868 935 1605 1 680 1157 1?39 1324 1413 li05 15 I 16 17 1602 1702 1805 191312022 20242135 830 891 955 1021 1096 1172 1252 1335 1422 1513 1607 1705 1807 1913 18 I 19 ou.y(l« ou. yiNiCU.yU" cu.yih ou.ytU 917,1007,1102 980 1072 1 168 19242030 20392146 2157|2267 22802391 24052518 2535265027682891 2668 27852905 3046 294613067(3191 a8S'2$ 323933.63 2139 2257 2380 2505 2635 101.G 1117 1191 1268 1350 1435 1524 1617 1713 1813 1917 2024 2135 2250 1141|1239 1213, 13 Mi 1289,1391 1200 1302 1268 1372 1341! 1446 lH7il524 1496,1605 20 1368 14721580 1691 14521557,1667 30913213 3517 2252i2368 23722491 2496 2624 2755 3030 3172 33181 3339346836052 34W|3^2 3646 28115461367438053941 4Q80 396841054246 3Q|38e9l4000|4135;4274 2617 2746 2880 3017 1539 1630 1724 1822 1924 2030 2139 2252 2368 2489 2613 2741 2872 3007 3146 3302 3450 3757 2039,21572280 2146 22672391 225712380 2505 237224962624 249126172746 I I 26132741,2872 27392868.3002 31573289 3435 3585 3739 3896 8780 3917 .40.57 4202 4350 42^ 4^91 164611757 173911852 1835,1950 19352052 1780 1872 1968 2068 2172 2868,3000 3002;3135 31393274 3280,3417 34243563 35723713 37243867 38804024 40394185 42024350 4^684518 453^4^^! 4814^0 44 1714563 47 13 46e7r50eMi m 8 3135 3272 3413 3557 3705 3857 4013 4172 (!ii. y(U 1407 1480 1555 1635 1718 1805 1896 1991 2089 2191 2296 2405 2518 2635 2755 2880 3007 3139 3274 3413 3555 3702 3852 4005 4J63, 4324 43354489 4502465TJ 46724830 m a J — ^ "U.>'(Nj,;,i.j.,|,| 1302iH07 'Uf) if)f,r,| I :")24 IfiOf) 1 6' 9 1 '780 1896) !«72I99I 9682089 !068 2I9I 1722296 2802405 3912318 TAIU.E NO. 5, (coNTiNiiKD), SINGLE TKAOK Tabl* of Clay Emt«ukfn«nt, Um* 18 feat, Slop** Ik^ol, dkmUi 100 fdct. ^7213007 )02 3139 353274. 72 3413 133555 lltfifhi at oiia uimI ill feat. 1 o 3 4 5 7 8 9 10 Tj 12 13 14 15 16 17 18 19 20 21 22 23 21 QU.yd* 1517 1591 1668 1750 1835 1924 2017 2113 2213 2317 2424 2535 llainht at iha othar and oftha 100 faet ttaiion in feat. 24 22 23 ou.yda 1630 1706 1785 1868 1955 2046 2141 2239 2341 2446 2555 2668 1746 1824 cu.y*l*i^u.yda 1867 1946 26502785 27682905 2891 3017 3146 3280 3417 3557 3702 3850 224002 4157 244317 254480 26 27 29 30 4646 4817 284991 5168 5350 3030 3157 3289 3424 3563 3705 3852 4002 4156 4313 4474 4639 4807 4980 5155 5336 5518 19052030 199l|2117 20802207 21722302 22082400 2368|2502 24722607 25802717 26972830 28052946 2924'30C^7 3046,3191 31723318 3302*3450 25 26 27 CO. yds 1991 2072 2157 2246 2339 2435 2535 2639 2746 ou.yda 2118 2202 2380 2474 2572 2674 2780 2889 oa.ydt 2250 23352472 22892424 3435 3572 3713 3857 4005 4157 4313 4472 4635 4802 4972 5146 5324 5505 5691 2857,3002 2972 3118 30913289 3363 3491 3622 3757 3896 3213 3339 3498 3602 35853739 3724 3867 4013 4163 4317 4474 4635 4800 4968 5141 5317 5496 5680 5867 3880 4024 4172 4324 4480 4639 4802 4968 5139 5313 5491 5672 5857 6046 2517 2613 2713 2817 2924 3035 3150 3268 3391 3517 3646 3780 3917 4057 28 eu.ydi 2385 2563 2657 2755 2857 2963 3072 3185 3302 3422 3546 3674 29 cu.yda 80 e«. yd* 40394202 4185 4335 4489 4646 4807 4972 5141 5313 5489 5668 5852 6039 6230 3805 3968 39414105 4080 4246 4350 4502 4657 4817 4980 5146 5317 5491 5668 5850 6035 6224 6417 4222 4368 4518 4672 4830 4991 5155 5324 5496 5672 58^2 6035 6222 6413 6607 2524 2667 26131^757 2705 2852 28022950 29^2 3052 3005 3157 3113 3267 3224 3380 33393496 3457 3617 3580 3741 3705 3868 3835 4000 4135 4274 4417 4391 4663 45394713 4691 4846 5005 5168 5336 5505 5680 5857 6039 6224 6413 6606 6802 4867 5024 6186 5350 5618 5691 5867 6046 6230 6417 6607 6802 7000 23 TABLE NO. «, SINGLE TnAd^J**** *^' TaliU of EmlMiikmentin Sand ft Gravel, Uaae 18 feet, Slopes 3 lo 1, Chai't 100 fee!. Ueifht ai one end in A jt. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 22 23 24 25 Height at the othor end of the 100 feet )iiaiioii in feet. >l t s • 5 ^ &6 29 30 cu.ydc 36 74 117 165 218 276 339 407 480 558 641 728 821 919 1021 1128 1241 1358 1480 1607 1739 1876 2018 ^4165 2317 2474 cu.yds ou.ydi 2^36 H 3^7 2802 282974 76 117 163 213 269 329 395 465 541 621 706 796 891 991 1096 1206 132. 1441 1565 1695 1830 cu.ydc 173 218 *>.69 325 385 451 521 596 676 762 852 947 1047 1152 1262 1377 122 165 213 267 325 387 456 528 606 689 776 869 967 1069 1176 1289 1406 15281621 16561751 17881885 192520252130 cu.yd'. 228 276 329 387 45] 518 591 669 752 839 932 1030 1132 1^39 1352 1469 1496 1591 1718 1851 cu. yd* 289 339 395 456 521 591 667 747 832 922 1017 1117 1222 1332 1447 1567 1969 2113 2263 2417 2576 2741 2910 3084 3263 3151 3332(3447 1691 1821 1955 19882095 20672169 22142319 23652473 25222632 2684279612914 28512965 30223139 31993318 33803502 35673691 227723892506 2428 258^ 3085 3262 3443 3629 3821 cu.yd< 354 407 465 528 596 669 747 8.^0 917 1010 1107 1210 1317 1430 1547 1669 1796 1928 2065 2207 22392354 2543 2702 27472867 3036 3210 3389 3573 3762 3956 2663 2991 3163 3339 3521 3707 8 cu.ydf 424 480 541 606 676 752 832 917 1007 1102 1202 1307 1417 1532 1652 '776 1906 2041 2180 2325 9 cu.yds 500 5n8 621 689 762 839 10 2447 24742599 26282756 922 1010 1102 1200 1302 1410 1522 1639 1762 1889 2021 2158 23002425 cu.yds 580 641 706 776 852 932 1017 1107 1202 1302 1407 1517 1632 1752 1876 2006 2141 2280 2788 28252952 3121 3295 3658 3847 389fti041 40954239 2917 3084 3255 3*32 34743613 3800 3991 4389 2574 272b 2888 3052 3221 3395 3574 3758 3^47 4141 4339 4543 1 24 10 580 641 706 776 852 932 TABLE ^fO* 6, (CONTINUKD.) SINGLE TRACK. Table of Umbaiikmeiii in Sand tc Grivel, Base 18 feet, Hlopcs 2 tol, Chain 100 ^^i. Height at one end ia feet. Height at the other end of the 100 feet station ia feet. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 U cu.yds 665 728 796 •869 947 1030 1117 1210 1307 1410 1517 1630 1747 1869 1996 212S 12 1 6 "265 ■i 17 18 19 20 ^' 2407 2554 2706 2863 213025 22 3191 23 3363 ,..24^539 g53721 5J63907 CO. yd* 755 821 891 967 1047 1132 1222 1317 1417 1522 1632 1747 1867 ^^91 2121 2256 2395 2539 2689 2843 3002 13 I 14 I 15 cu.yds en. yds 650 951 9191021 9911096 10691176 11521262 12391352 1332 1447 14301547 1532 1652 16391762 cu.yds 1056 1128 1206 16 cu.yd!> 1165 1241 1321 128911406 4062 3167 3336] 3510 387a 1752 1869 1991 2119 2251 2388 2530 2676 2828 2985 3147 3313 3485 3^62 4221 1876 1996 2121 2251 2385 •2525 2669 281? 2973 3132 3296 3465 1377 1469 1567 1669 1776 1889 2006 2128 2256 2388 2525 2667 2813 2965 3122 3284 3450 3622 3639;3799 3818;3980 4002'4167[4336 41 91 '43^ 4385;45Ki4728 -,_,,. ^44^64.932 m^ 1496 1591 1691 1796 1906 2021 2141 2265 2395 2530 2669 2813 2963 3117 8276 3441 3610 17 cu.yds 1280 1358 1441 1528 1621 1718 1821 1928 18 cu.yds 1400 1480 1565 1656 1751 1851 1955 90€5 19 I 20 20412180 21582300 22802425 2407,2554 25392689 2676 2828 28182973 3784 3963 53^54 $3t3 2965 3117 3274 3436 3602 37743943 3951 4132 4141^14.318 '4706 4907 5113 3122 3276 3436 3600 37«9 cu.yds 1525 1607 1695 1788 1885 1988 2095 2207 2325 2447 2574 cu.ydi 1654 1739 1830 1925 2025 2130 2239 2354 2474 2599 2728 4122 4306 4510^4^68^ 50911 530*i 5dl4 =* 2706 2863 28433002 298513147 31323296: 3284 345Q 34413610 86023774 37693943 39414117 41174296 429b ilscj um am f- 1: 466 si 4S63 3^6 505^686 ^474 6^^130 aMl6358 >, <>..>; t TABLE NO. 6, (CONTINUED,) SINGLE TRACK. Table of Embankmeni in Sand h Gravel, Base 18 feet, 8topea 2 lo 1, Chain 100 feet. Height atone end in feet. Height at the other end of the 100 feet station in feet. iU 1 2 3 4 5 6 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 ■24^ 25 26 27 ?8 29 30 cu.yds 1789 1876 1969 2067 2169 2277 2389 2506 2628 2756 2888 3025 3167 3313 3465 3622 3784 3951 4122 22 cu.jds 1928 23 20182165 2113 2214 2319 2428 2543 2663 2788 2917 3052 3191 3336 3485 3639 3799 3963 4132 4306 4299 44S5 4480 4667 4858 5054 5255 5432 5673 5889 6110 6336 6567 cu.yds 2073 cu.ydscu.yds 4669 4858 5052 5250 5454 5663 5876 6095 6318 6547 6780 2263 2365 2473 2585 2702 2825 2952 3084 3221 3363 3510 3662 3818 3980 4147 4318 4495 4676 4863 5054 5250 5452 5658 5869 6085 6306 6532 6763 6999 24 25 2222,23772536 23172474 2417,2576 25222684 26322796 27472914 28673036 29913163 31213295 3255 3432 26 cu.yds cu.yds 2700 3395 3539 3689 3843 4002 4167 4336 4510 4689 4873 5062 5255 5454 5658 5867 6080 6299 6522 6751 6984 7222 2636 2741 2851 2965 3085 3210 3339 3474 3613 3758 3907 4062 4221 4385 4554 4728 4907 5091 5280 5474 5673 5876 6085 6080'6299 6296|6517 6517,6741 6743,6969 6974,7202 7210,7441 7451.7684 3574 3721 3873 4030 4191 4358 4.530 4706 4888 5074 5265 5462 5663 5869 27 28 cu.yds 2869 28022974 29103084 3022'3199 3139'3318 32623443 33893573 35213707 36583847 3800;3991 39474141 40994295 42554454 44174619 45844788 4756 4962 4932 5113 5300 5491 5688 5889 6095 6306 6522 67436974 29 I 30 cu.yds cu.yds 3043 3222 31513332 3263 3447 3380 3567 3691 3821 3502 3629 3762 3899 4041 4188 4339 4496 4658 4825 4996 5173 5141 5325 5514 5707 5906 6110 6318 6532 6751 6969 7200 7436 7676 7922 7202 7436 7674 7917 8165 5354 5541 5732 5928 6130 6336 6547 6763 6984 7210 7441 7676 7917 8163 8413 3956 4095 4239 4389 4543 4702 4867 5036 5210 5389 5573 5562 5956 6154 6358 6567 6780 6999 7222 7451 7684 7922 8165 8413 8687 Uei Ml end lee ? e- 26 TABLE NO. t; SINGLE TRACK. Table oTClty Embankment, Base 90 feet. Slopes 1^ to 1, Chain 100 feel. Height Ml one cikI ill feet. ] o 3 4 6 7 8 9 10 11 12 13 14. 15 16 17 18 19 20 21 22 23 Height at the other end of the 100 feet station iij feet. 1 cu.)'ds 39 80 124 172 224 280 339 402 468 539 613 691 772 857 946 1039 1135 1235 1339 1446 1557 1672 1791 1913 242039 232168 oa.yd» 81 124 170 220 274 331 392 457 526 598 674 754 837 924 1015 1109 1207 1309 1415 1524 1637 1754 1874 1998 2126 2257 26:2302 2392 2487 2585 27,2439253126282728 28125792674 27722874 2920 3024 3Q'2Ji3^XQ|3D72l3i78 ca.yds 128 172 220 272 328 387 450 517 587 661 739 820 905 994 1087 1183 1283 1387 1494 1605 1720 1839 1961 2087 2217 2350 cu.yds 178 224 *274 328 385 446 511 580 652 728 807 891 978 1068 1163 1261 1363 1468 1578 1691 1807 1928 2052 2180 2311 2446 6 cu.yds 231 280 331 387 446 509 576 646 720 798 880 965 1054 1 146 1242 1342 1446 1554 1665 1780 1898 2020 2146 2276 2409 2546 2687 2831 2980 3131 S287 cu.yds cu.yds 289, 350 339 402 392 457 450 517 511 580 576 644 717 792 872 955 1042 1133 1228 1326 1428 1533 1642 1755 1872 1992 2117 2376 2511 2650 2792 2939 3089 3243 3400 8 646 717 791 868 9.50 1035 1124 1217 1313 1413 1517 1624 1735 1850 1968 2091 2217 2346 2480 2617 2757 2902 3050 3202 3357 3517 cu.yds 415 468 526 587 652 720 792 868 948 1031 1118 1209 1304 1402 1504 1609 1718 1831 1948 2068 2192 2320 2452 2587 2726 2868 3015 3i65 3318 3476 3637 10 cu.yds 483 539 598 661 728 798 872 950 1031 1117 1205 12^8 1394 1494 1598 1705 1816 1931 2050 2172 2298 2428 2561 2698 2839 2983 3131 3283 3439 3598 3761 cu.ydii 555 613 674 739 807 880 955 1035 1118 1205 1296 1391 1489 1591 1696 1805 1918 2035 2155 2280 2407 2539 2674 2813 2955 3111 3252 3405 3563 3724 3889 27 ■ TABLE NO. T, (CONTINUED). »INGI!,K TKACK. Table u^Clay EmlMiikmenl, Base 90 feet, Slope* 1^ Ut 1, Chain 100 f««u Haitfhi at o»e cii<] in feai. I € I o 5 e .7 '8 10 11 12 13 14 15 16 11 Height at the other end of the 100 feet station in feet. Hi LMLyda 631 691 764 820 ^91 965 1042 1124 1209 1298 139] 1487 1587 1691 1798 ou.yds 711 772 837 905 978 1054 1133 1217 1304 13 ou.yd* 794 857 924 994 1068 1146 1228 1313 1402 14 2024 i(t?142 ',:w $265 13941494 14891591 15871691 J 689 1794 17941902 19032013 19092017 m 2128 2246 2368 2494 2133 2254 2378 2505126242746 2881 3020 3163 2757 2894 2911(3035 3ankmt3iU in 6aiiU k Gravel, Base 90 feet, Slopes 2 lo 1, Chain 100 feci. 10 cu.yds 617 681 751 825 904. 988 rs >9 55 1076 1170' 1269 5711373 73 84 00 21 47 78 13 154 1481 1595 1713 1837 1965 2099 2237 ,2380 ^0025281 ^51 06 26H1 2840 J67|3002 )323i70 >023343 J78 358 3521 3704 743 3891 933 4Q84 [Height ui UIIU If I id ill feet. 1 o 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Height at the other end of the 100 feet atation in luei. 11 12 13 I 14 cu.ydt 706 773 844 921 1002 1089 1180 1277 1378 1484 1595 1711 1832 1958 2089 2225 2365 2511 2662 2817 2978 3143 33 13 3489 3669 3855 cu.yd* 800 869 943 1022 1107 1195 1289 1388 1491 1600 1713 1832 1955 2084 2217 2355 2499 2647 2800 2958 3121 cu.yd«cu.yd» \{ in S6 4044 4202 &7 4240 4400 2844404^0^ 3462 3639 3822 4010 899 970 1047 1128 1215 1002 1076 1155 1239 1328 13061422 15 pu.ydf nil 1188 1269 1355 1447 1543 16 140211521 1644 1504 1625 1751 16101733 1862 1721 1847' 1978 1837 19652099 195820892225 208P2217 2355 2*^15 23512491 2351 2491 2637 •2788 2943 3104 3269 32893439 3615 3795 3980 4170 4365 4565 am 24892632 2632 2778 cu.ydt 1225 1304 1388 1476 1570 1669 1773 1881 1995 2113 2237 2365 2499 2637 2780 2780 2933 3091 3254 3422 3595 3773 3955 4143 43^6 4533 4736 47*70 4949 M55 M9SS§»7^ 2928 3084 3244 3410 3580 3755 3936 4121 4311 4506 4706 4911 5*21 d33& 5856 £ 17 18 cu.ydi) 1343 1425 1511 1602 1699 1800 1906 2017 2133 2254 2380 2511 2647 2788 19 1 20 cu.yds 1467 1551 1639 1733 1832 1936 2044 2158 2276 2400 2528 2662 2800 2943 en. yd" en. yd* I595;i7;i8 I68I1I8I7 177311911 29333091 29283084 3081 3239 3402 3570 3743 3921 4291 3239 3400 3565 3736 3911 3244 3402 3565 3733 3906 4084 40914267 410442764454 4467464^ 44844662 4^814862 506T^ 5091 52*76 53045491 55215711 4844 5047 6254 5467 5684 5906 1869 1970 2077 2188 2304 2425 2551 2681 2817 •2958 3104 3254 3410 3570 3736 3906 4081 4262 4447 41637 4832 5032 5237 5447 56^2 5«8i 6106 2010 2113 0000 2336 2454 2578 2706 2840 2978 3121 3269 3422 3580 3743 3911 4084 426^ 4444 4632 4825 5(^22 6^25 5432 5644 5862 60841 1)811 6543 m TABLE NO. t, (t^oNTiNUKD), SINGLE THAOK. T«bl« of KmbankmeiU In tend & Oravel, Bue 90 feet, 81op«« U to 1, Chain 100 fvei! Height at one and in fisat. 1 2 3 4 5 7 8 9 10 11 12 J3 21 cu.ydi 1867 1958 2054 2155 2262 2373 2i89 2610 2736 2867 3002 3143 3289 3439 1413595 Height at the other end of the 100 feet station in Teei. 29 22 20 21 22 3755 3921 4091 15 X6 17 18 19144474637 42674454 4632 4822 5017 23l5^;7 5422 56^2 ft|58476054 27 28 629i 296521 306755 eu.ydt 2010 2104 2202 2306 2415 2528 2647 2770 2899 3032 3170 3313 3462 3615 3773 3936 4104 4276 23 I 24 4825 5017 5215 5417 5625 5837 S5d4 6736 6973 ou.ydr 2158 2254 2355 2462 2573 2689 2810 2936 3067 3202 3343 3489 3639 3795 3955 4121 4291 4467 4647 4832 5022 5217 5417 5622 5832 6047 62jS7 6491 6721 6955 7195 cu.ydf 2311 2410 2513 2622 2736 2854 2978 3106 3239 3378 3521 3669 3822 3980 4143 4311 4484 4662 4844 5032 5225 5422 5625 5832 6044 6262 6484 6711 6943 ,7180 7432 25 I 26 cu.yds 2632 2736 28443017 29583133 30773254 32003380 33283511 3462 3647 36003788 37433933 38914084 40444240 ou.yds 2469 2570 2676 2788 2904 3025 3151 3282 3417 3558 3704 3855 4010 4170 4336 4506 4681 4862 5047 5237 5432 5632 5837 604*7 6262 6481 693617165 7170 7410 7655 27 1 28 cu.yde 2800 2906 4202 4365 4533 4706 4884 5067 5254 5447 5644 5847 6054 6267 64^4 6706 6933 4400 4565 4736 4911 5091 5276 5467 5662 5862 6067 6276 6491 6711 ctt.ydtf 2973 3081 3195 3313 3437 3565 3699 3837 3980 4128 4281 4440 4602 4770 4943 5121 530i 5491 5684 58ai 6084 6291 6504 6721 6943 cu.yd* 3151 3262 3378 3499 3625 3756 3891 4032 4178 4328 4484 30 cu.yd» 3333 3447 3565 3689 3818 3951 4089 4232 4380 4533 4691 46444855 4810 5022 49805195 5155 5373 5336:5556 55215743 57 U 5936 59066133 61066336 62116543 6936^7170 7165 7402 7644 7891 74007640 78848133 740217^40788181288380 7644 7884 8128 8378 ^ — 789|i8iaa|83BQ 863^ 8889 6521 6736 6955 7180 7410 6755 6973 7195 7422 7655 3* .''•••.»*.'n:iin»';.n-.:-:', '.7?« «fi'r^i{#Vfl'>;^.''l fio ^MffimeiiC * .;4«»J III »iou«*T '• Method of Using the Second Hcries'of Tablet. TlMre are difierent methods of using the follow- ;>' ing Ibrra of Tables, but there are two methods '*' more generally used than any ouiers, both of them erroneouSy in one case the result obtained being less V, than the truth, and in the other case more than In ' 5 the truth. By the first method the mean of the two end depths is used, and the cubic yards corresponding to this nean taken from the Tables, the result in this case is less than the truth. By the second method, the cubic yards corres- ponding to each end depth are taken from the Tables, the two quantities added together, and the half .«um taken for a mean, this gives a result , . more than the truth. ^ "There is bat one correct principle upon which ,'a,' to calculate the cubic contents of Excavations and \f^£ Embankments ; and that is, by means of what is Ibi known as the Prismoidal Formula or JEtok^'V This i^- Hule is -as follows':^- -■■^^^' '•-•^ ^•'''^■)^^^\-^4^'m^>^><> juO^if Add together the tteas of the two parallel i^'T .ends of the Frismoid, and four times the area of a jj'v section, hj^lf lyay between and parallel ta th^m:j ^; ...a|>^ pu}li|)ly Itfe^ sum by one-sixth of tl^eleilgthdf tile Prismoifl, measured j)eypendiculaily, to its two * Trantwine on £zc«vationt and £mb»nkintnt«. a# METUUD OF USING TABI.K9. former add four times the latter, and ono-sixth of the sum will be the cubic yards contained in the station. Suppose then in a Kailway, with a haao or road- bed of 22 feet, and with side slopes of li to I, the cutting at one end of a hundred feet station is 15 feet, and at the other end 29 feet. Then, by the first method, 15 + 29 *» 44 ^ 2 = 22 feet, the mean depth ; look in Table No. 2;, ])age 40, and find the cubic yards for a cutting of 22 feet, which is 4481 cubic yards, the result by the first method. ' By the second method. Cubic yards by same Table for 15 feet = 2472 Do. 29 « = 7036 Do. 2)9607 hoiB[m<^h-'r 4753-5 cu.yds. Or 4754 cnbic yards, the resnh by the second method. Tlie same thing by the true method or Prisraoidal Rul^. Cubic quantity by same Table for 16 feet » 2472 cu.ydd. ^f ft^, <>'^o.A^j«.;P«K,.. 89 « = 7036 .< Four times the cubic yards cor- * respohding to a mean depth ; Jajitfrpay between, = 4481.j^4 « 17924 " aiooC ^'i eiv.'i^ iHUi ju'ji ^ <..i oin ("--^-^ 6)27431 i'!^ nl (!l no V3^uh x; j^nioiilq ^^riuiftd &ii . ^yh ^ ' ' t Or 4572 cubic y^rds, the true cubic quantity contained in the station. -^ ' ilbunomoil lo-^tui^n nn iThm it will be obitelrved, that lh« fimtMinethod ^ves a lesnlt 'just ^1 acinic yaird8 tod 4iule -^ * ^hlle the second method gives n& less th«in 182 cnbic \ METHOD 0? USING TABLC8. 35 yards too muoh. If a contractor wcro to be paid according to tho first method of'calculating, and assuming the price per yard to be a shilling, ho would receive 91 shillings less than he was actually entitled to ; and, according to the second method, he would receive 182 shillings more than he would be entitled to. If either of these methods were used iu tho calculation of rock excavation, the error would then be more serious, instead of shillings it would then amount to dollars. The substitution of tho correct Frismoidal rule for the erroneous ones which are so frequently employed, is demanded by every consideration of accuracy and justice ; and by this rule the quanti- ties in the first series of my Tables have been found. The Tables in the second Series are calculated for every tenth of a foot in height or depth, and if the cutting or filling should not be even feet, (which in practice seldom happens,) the Tables are so constructed, that the cubic yards for any num- ber of feet and tenths of feet from to 30 may be had at once by reference to them. If, instead of the end depths being 15 and 29 as in the preced- ing example, they are 15-2 feet and 29-8 feet, look in Table No. 2, as before, placing a finger on 15 in the first colimm, under the l;ead of depth ii^ feet, move this finger horizontally until it comes into tlie column headed '2, at which place, you will fund th^ cubic yaikls corresponding to 1^ feet and 2 tentlis^ whicU i« 2522 yards; pvoe s . .vt.mxT .t^^ f* SECOND SERIES OF TABLES. .Jiwi3 .9 ,qV[ t^MwT Y ' ; ^¥* ;A •«^ !■ .(i^^^ ^Ui'i "^^^ttl i^'^'l .^(; -■ 16 17 18 19 20 21 22 23 •2M 25 luu.yds. 77-8 174.- 9 |283-0 k02-3 532-7 1674-2 826-8 9D0-5 1165 1351 154.8 1756 1976 2206 2447 2700 2964. 3239 3525 3822 413C 4449 4779 5121 5473 5837 6212 6598 f.> 7i03 iiiMm. TABLE N04 3, SINGLE TttAOK: Table of Excavmion in Sand and Gravel, Base 22 feet, Slopes 2 to 1, Chain 100 feet. - HI ft. II 2 3 4 cu.ydt 88-9 192-6 311-1 444*4 592-6 6 755-6 7 8 9 933-3 1126 1333 cu.ydf. 8-2 89-6 203-8 323-8 458-6 608-3 772-7 33-8 128-6 cu.yds. cu.yds. cu.yda. 166 25-1 108-4118-4 2l5l226-6i238-2 336-6 349-6 362-7 472-9 487-4i50l-9 624-1 7900 952-0 970-7 ho 1556 a '1/92 122044 13 14 15 2311 2592 2889 3200 3526 3867 4593 1146 1355 1579 1817 2070 2338 2621 2919 3232 3560 3902 425^9 ;4.630 16 17 18 19 20 21 22 23J^79i Jt^m 6^6Q 6667 1166 1377 1602 1841 2096 2365 2650 2950 3264 3593 3937 4295 4668 5057 639-9 656-0 497^ ;..OiR 5372ii;H.d 5459 587t 6311 n5l~ 30|^Ui4.-L 807-4 989-6 1187 1399 1625 1866 2122 2393 2680 2981 3296 3627 3972 4332 4707 5097 5500 $92() 824-9 1009 1207 1421 1648 1891 2149 2421 2709 3016 3329 3661 4008 4369 4745 5]t3$ cu.yds. 42-6 138-9 250-0 375-9 516-7 672-2 842-6 1028 1228 1444 1672 1916 2175 2449 2739 3043 cu.yds 60-7 159-9 cu.yds. 51-6 149-3 i;61 9 274-0 389-4402-9 513-6 546-6 688-6I705-2 860-5 1047 1249 1467 1696 1941 2202 2478 2768 (3074 jgjg 3361 3695 4043 4406 4784 5176 5m B005 ^443 878-5 1067 1270 1487 1720 1967 2229 2506 2798 3105 8 cu.yds 69-9 170-7 286-2 4.16-6 561-8 721-8 896-7 1086 1291 1510 1744 1992 ^256 2535 2828 3137 3394 13427 3460 3729 3764 3798' 4047 4115 4151 4443 4480 4517 ^822 48|5I 4000} 5^1^ 5256^ 5625^ 3^66 J( Cf04t 6§9r<8l3*][ •'*"•'""■** ■'*■•**-»»■* ■*««^*>,». ....^_ cu.yds, 79-3 181-6 298-6 430-5 577-2 738-6 915-0 1106 1312 1533 1768 2018 2283 2503 2:858 §166 34^ 88^ 45!§5.! bt9Ti 5«^T 5708^^^ I ■^>«— «tM^ 84Tr tg43^*892Si:94l'5!990a8e S§39'Ssl9018H0t849Tf8d $§5Sl«Sp2l|t95«V00b6( 8909^ 4^4 *TjOe| ■^*- u * Ttble of Rork Emliaiikmeiil, Bate 18 fret, ISloprsl. \o l,.|ph^i»klUO fi;«f< Hi. ill ft. 1 2 3 cu.ydfl. cu.ydt. 6-7 77-8 156-3 242-3 70-4 148-1 233-3 4t325-9 425-9 533.3 7|648- 1 770-4 900-0 W37 cu.yds. cu.yds. 13-5 85-3 164-6 251-3 '9 IP (1 15 cu.yds 20-3 92.9 172-9 260-3 cu.ydi. 335-6 345-3 355-1 436.3 446- 8 457-4 544*5 660-0^ 7S3-0 795-7 808-5 ;o la 1181 1333 1493 16.59 lfl33f 2015 913-4 1051 1196 1349 l509 167^ 1 ■r»:'..-. (» ?033 27-3 34-3 100-6 108-3 181-3189-8 2^9.5278-7 3650 375-0 4680'478-7 489-5 .555-7567-0 672-0684-0 9-26-8 940-3 1065 1080 1211 1226 1365 1380 1525 1542 1693 1711 1.969,1887 2052.2071 cu.ydf. 41-3 116-1 198-4 288-0 3850 678-4 696-1 .589-8 708-3 821 ^^U'3 953-i/ 6 042^H:Ji645 l5'5^^ife85S ^2f42 t 2262 IS?40a i^^0.g44C) 2460 ,2481 2666. 5^880 37.4263 m :i(4g ^ 4(^^9 aio^v ^^4l?58g m7 4315; i%^.mo. «-a. 601 -a 720-6 847 3 981-3 1123 127^ 1428 1592 1763 1941 2127 232 1 2521 2729 2945 3168 3398 3Cf36 |i32M56(3^t ^8$r4il€8v41:iS4, 1094 1241 1396 1 1558 1728 1905 2089 2281 2687 2901. liv.8 1256 1412 1575 1745 1923 2108 2301 2501 2708; < 2923 3145 cu.yd*. 48-5 124-0 207-0 297-4 395-1 500-3 $352 13875 3ftm 8 cu,yd«. 55-7 1320 215-7 306-8 405-3 511-3 612-9624-6 732-9745-3 860-3 873-5 995-1 1009 1137 1287 1444 1608 1780 196Q 2146 i>340 1152 1302 1460 1.625 1798 1978 cu.yd*. 63-0 140-0 224-5 316-3 41.5*6 522-3 636-3 757-8 886r7 1023 1167 1318 1476 1642 1816 i996 2165 ^1S4 2360 2380 [a542[ 12562 3751 2967 •2772 S 2989' [sail |4a4t^|4369>^^asH 4&01&^ 4^34 ^ fl«6li4#l6^ k7 i 6m^4X :^f I4f5ks5i tt§il49o«i ♦i^^^ 2583 3191 8213 »236i 342St 344.5. 34(61^: 3£to6 S93]. aom If Ht. ill ft ± cu.yd*- 63-0 140^0 224-6 316-3 415*6 522-3 636'3 757-8 886r7 1023 1167 1318 1476 164(2 18 If) i996 2!184 2380 2df83 2793 1 .'Ml 1 ) ) I I I >34i6t: \ mm: 7 ohotm ■^ & •*Abt.^ MO. 5, SINGLIE TRACK. Tbble of Emtwnkmenuu Clay, Baie 18 feet, Slopci 1^ to 1, Chain 100 feet. Ht. ill fu 1 2 3 4 5 6 7 8 9 to 11 12 IB 14 15 ■^ ( ca.yds. 72-2 155-5 249 355-5 472-2 I cu.ydfl. 6-7 80-1 164-5 366-7 484-5 9260 600-0 73S-9 888-9 1050 1222 1406. 1600 1806 2022 2250 .o - ' ± ^i-' •AT TABLE NO. e. SINGLE TRACK. 'I'altle of Kmbaiikmeiit in Saud and Orav«l, U6f>e 18 ftei, Slopes 3 lo 1 , Chain KO feet. . Ht. in ft. Q 1 2 3 4 5 6 7 8 9 IB cu.ydfl. 74-1 163-0 26t)-7 385-2 518-5 666-7 829-6 1007 1200 1407 10 a 12 1.3 14 15|a€67 1630 1367 2119 2385 cu.yds 6-7 82-3 172*7 277-9 397-9 532*7 682-3 846-7 1026 1220 1429 cu.y 13-6 90-7 182-5 289-2 410 547-0 2d63 i;7S274 iSfe'^? 3941 296 ^67 i^052 .J'mi' 1653 1891 2145 2413 urn 4 2993 698-1 864-0 1045 1240 1451 3306 3338 1676 1916 2171 2440 2725 3024 7423 714-0 881-4 1064 1261 1281 1473 1495 cu.yds. 27-9 107-9 202-7 312-3 436-7 576-0 730-1 899-0 1083 cu.yds. 35-2 cu.yds. 42-7 3033 3976 4333 M67 4011 me 9 4743 5l3i 82iaaSL^Mli8363 1699 1941 2197 2468 2754 3055 3370 3701 4046 ^406 4781 5f70 1723 1966 2223 2496 2783 3086 3^\03 3735 4081 trMrJfQ Ml 9 52^10 116-7125-6 213-0223-4 324-l'336-0 450-o!463-4 O90T605-6 746-3 762-7 916-7 934.5 1102 1302 1517 1746 1991 2250 2524 2813 3117 34«35 3769 4117 4480 m7 m^m sm^: ft^84 < m^ , mt^^m^i i^ ^ ^6 1121 1323 1539 1770 2016 2277 2552 2843 3148 3468 3803 4152 4517 4^6 o^a ^90 9657 cu.yds. 50-3 134-7 234-0 348-1 477-0 620-7 7792 952-5 1141 1344 1561 11794 2041 2304 2581 2873 S699 6080 BJJfta 3179 3501 3837 4188 4554 4935 5330 6741 mea •8 cu.yds. 58-1 144-0 244-7 360-3 490-7 635-9 795-9 970-7 1160 1365 1584 1818 2067 2331 2609 2903 8413 84^3 321 1 3534 3871 [4224 4591 4974 6371 cu.yds 660 153-4 255*6 372«-7 504-5 651-2 812-7 989-0 1180 1386 1607 1842 2093 2358 2638 2933 3242 13567 3906 4260 4629, 60;18 im6\ ^$07) m64o Mim 856a^ ^68 i Hi; ill ft. 1 no feet. cu.ydt. 660 153-4 255'6 372.-7 504-5 651-2 812-7 989-0 1180 1386 1607 1842 2093 2358 2638 2933 3242 ^567 3906 4260 4629 dO^lS diill dS85 TABLE NO. T, SINGLE TRACK. Ti'ule of Cl«y tiinlMiikiiuinl, Bm^ 20 feel, Slopes U to 1, Chain 100 feet. Ht. iu a. 1 2 3 4 5 6 7 8 9 10 cu.yds. 79-6 170-4 272-2 385-2 509-3 644-4 790-7 948-2 1117 1296 1 11 12 13 14 15 1487 1689 1902 2126 CU. )'(]«. 7-5 88-2 180-1 283-1 397-2 522-4 658-6 806 964-5 1134 1315 1507 1710 1924 2149 cu.yds. 15-0 96-9 189-9 294-0 409-2 535-5 672-8 821-3 980-9 1152 1334 2361 2385 16 2608 17 18 19 20 21 522 23 24 ^5 2865 3133 3413 3704 4006 4319 4643 4978 5324 2B6i£3a 2633 2891 3161 3442 3734 4036 4350 4676 5012 5359 5718 6087 6468 3ap^y.6e8 T 1527 1731 1946 2172 2409 2658 2918 3188 3470 3763 4067 4382 4709 5046 5395 cu.yds 22-7 105-7 199-8 305-0 421-3 548-8 687-2 836-8 997-5 1169 1352 5754 1546 1752 1968 2195 2434 2683 2944 3216 3499 3793 4098 4415 4742 508Q ^30. 579 r 61^3' €13^6 701-7 852-3 1014 1187 1371 1566 1773 1990 2219 2458 2709 2971 3244 3528 3823 4129 4447 4775 5115 mi 6(585 cu.yds. 38-4 123-6 cu.ydfl. 46-4 132-8 •2 19- 9 230-2 327-4 338-7 445-8 458-3 575-4589-0 716-2'730-9 868-0883-8 1031 1048 j52d9 6*7Cf 7020, "^q H<^'6l i'U^, ri;f< kIi^ h: tim 1205 1390 1587 1794 2013 2242 2483 2735 2998 3272 3557 3853 4161 4479 4809 5449 m\ Hsu 1223 1409 1607 1815 2035 2266 2508 2761 3025 3300 3586 3884 4192 4512 (4942 5184 5901 cu.yds. 54-6 142-0 240-5 350-2 471-0 602-7 745-7 899-8 1065 1241 1429 1627 1837 •2058 2289 253-2 2786 3052 3328 3615 3914 42-24 4544 4,876 521^ 9m 6702 •8 •9 cu.yds. cu.yds. 62-8 72-0 151-3 160-8 251-0 261-6 361-8 373-5 483-6 496-2 616-5 630-4 760-6 775-6 915-8 931-9 1082 1099 1259 1278 1448 1467 1648 1858 2080 2313 2557 2812 3079 3356 3645 3944 4355 4577 ino ^009 5975 .6353 61M 7Ul 1668 1880 2103 •2337 2582 2839 3106 3385 3674. 397!); 42$T 46IP,. m m ^8|08 i4 .V TABLE NO. •. SINGLE TllAOk. Table of Embankmenl hi Sand ani Gravel, Base M feet, Slopes 9 to 1, Chain 160 feet. Ht. in ft. 1 2 3 4 5 I .1 6 7 8 9 10 11 12 13 14 15 cu.yda. 81-5 177-8 288-9 414*8 555-5 711-1 881-5 1067 1267 1481 1711 1956 2215 2489 2778 en. yds. eu. yds. ou.yds 7-5 151 229 90-4 99 6 108-8 1883198-8,209-6 300-9 3 12- 9 325-2 428-2441-8455-5 570-5685*6 600-8 16 17 18 •3 1 3081 3400 i 3733 194081 204444 727-6744-1 899-5917-5 1086 1106 1288 1808 1504 1526 1735 1759 1981 2006 2242 2268 2517 2546 2807 2837 3113 3144 3433 3465 3767 3802 ou.yds. 30-8 118-2 220-5 337-6 469-4 616-1 760-8 777-6 21 4832 225215 235622 24604416089 256481 6525 4117 4482 4861 5255 5665 4153 4519 936-6 1125 1330 1549 1783 2032 2295 2574 2867 3175 3498 3836 4189 4556 ou.yds. cu.yds. cu.yda. 38-9| 47-1 55-4 127-8 137-5 147-3 231-5,242-7 254-0 3500 362-7 375-5 483-3'497-6 5ll-9 631.5647-2 4900 4939 5296 5336 26 27 30 6933 7400 287881 2918371 8889 6979 7447 7930 8427 5707 6132 6571 7026 7496 7979 8478 6749 6175 6616 7072 7543 8028 8529 953-9 1145 1351 1572 1807 2058 2323 2603 2897 3207 3532 3871 4225 4594 4978 5377 6791 6218 ^661 7118 7591 8077 8579 794-4 972-3 1166 1372 1595 1832 2083 2350 2631 2928 3239 3565 3906 4261 4632 5017 5417 5833 6262 6706 7165 7687 8128 8680 18681 811-7 990 9 1185 1394 1618 1856 2109 2378 2660 2958 '3271 3598 3941 4298 4670 5056 5458 5875 6305 6751 7211 7689 8177 663-0 828-9 1010 1205 1416 1641 1881 2136 2405 2690 2989 3303 3632 3976 4334 4708 5096 5499 5918 6349 6796 7258 7735 S227 8733 : ^ •8 ou.yds. 640 157-3 265-5 388-5 526-3 678-9 846-3 1029 1226 1437 1664 1906 2162 2433 2719 3020 3335 3665 4011 4371 4746 5136 5540 5961 6393 6842 7305 7783 8277 8784 eu.yds. 72-7 167-5 277-2 401-6 540-9 695-0 863-9 1048 1246 1459 1688 1931 2188 2461 2748 3050 3367 3699 4046 4408 4784 5175 5581 6003 6437 6888 7362 7832 8327 8837 A .\l ^v^ I I 46 feci. 2 3 9 20 72-7 167-5 277-2 401-6 540-9 695-0 863-9 1048 1246 1459 1688 1931 2188 2461 2748 13050 35 65 n 71 46 36 40 161 193 142 105 r83 111 r84 3367 3699 4046 4408 4784 5175 5581 6003 6437 6888 7352 7832 8327 8887 ^ «... R ■'*■ 4>jW.l ,A "V ■'^H i t'anr! (?OKr mm * * tfj. iih^^\ *JirC# ! no.-.. >^* f vm Ttsic £88 ^ara dota XBdV 0€a8 UlUl S:h89i aJbt) f::^U rvebj TVOHj BS!Ofei eret eraei cisesi 8r*8 i'BU Vi80d dire*?' oo^Tirs oeer j[8Br,8s ! e888J08