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TABLE X. <br />MIDDLE ORDINATES OF RAILS <br />Length of Rail (feet) <br />C <br />R <br />30 <br />28 <br />26 <br />24 <br />22 <br />20 <br />C <br />R <br />30 <br />28 <br />O 1 <br />Feet <br />Inch <br />Inch <br />Inch <br />Ineh <br />Inch <br />Inch <br />o <br />Feet <br />Inch <br />lac: <br />17189 <br />.08 <br />.07 <br />8 <br />716.8 <br />1.86 <br />1. & <br />0-20 <br />.06 <br />.05 <br />.04 <br />.03 <br />0-40 <br />8594 <br />.16 <br />.14 <br />.12 <br />.10 <br />.08 <br />.07 <br />9 <br />637.3 <br />2.12 <br />1.& <br />1-0 <br />5730 <br />.24 <br />.20 <br />.18 <br />.15 <br />.13 <br />.10 <br />10 <br />573.7 <br />2.36 <br />2.0: <br />1-20 <br />4297 <br />.31 <br />.27 <br />.23 <br />.20 <br />.17 <br />.13 <br />11 <br />521.7 <br />2.59 <br />2.21 <br />1-40 <br />3438 <br />.39 <br />.34 <br />.29 <br />-25. <br />21 <br />.17 <br />12 <br />478.3 <br />3.83 <br />2.45 <br />2-0 <br />2805 <br />.47 <br />.41 <br />.35 <br />.30 <br />.25 <br />.20 <br />13 <br />441.7 <br />3.08 <br />2.61 <br />2-20 <br />2456 <br />.55 <br />.48 <br />.41 <br />.35 <br />.29 <br />.23 <br />14 <br />410.3 <br />3.30 <br />2.85 <br />2-40 <br />2149. <br />63 <br />:55 <br />.47 <br />.40 <br />.33 <br />.27 <br />15 <br />383.1 <br />3.54 <br />3.41E <br />3-0 <br />1910 <br />.71 <br />.62 <br />.53 <br />.45 <br />.38 <br />.31 <br />16 <br />359.3 <br />3.76 <br />3.2£ <br />3-20 <br />1719 <br />.78 <br />.68 <br />.59 <br />.50 <br />.42 <br />.35 <br />17 <br />338.3 <br />4.00 <br />3.4E <br />3-40 <br />1563 <br />.86 <br />.75 <br />.65 <br />.55 <br />.46 <br />.38 <br />18 <br />319.6 <br />4.21 <br />3.8i <br />4-0 <br />1433 <br />.94 <br />.82 <br />.71 <br />.60 <br />.50 <br />.42 <br />19 <br />'302.9 <br />4.4513.84 <br />0.381 <br />4-20 <br />4-40 <br />1323 <br />1228 <br />1.02 <br />1.10 <br />.89 <br />.96 <br />.77 <br />.83 <br />.65 <br />.70 <br />.55 <br />.59 <br />:45 <br />.48 <br />20 <br />22 <br />287.9 <br />262.0 <br />4.70 <br />5.161C44 <br />4.04 <br />5 <br />1146 <br />1.181.03 <br />0.460 <br />0.096 <br />75 <br />97.237 <br />2.763 <br />. 0.233 <br />45 <br />99.497 <br />0.503 <br />0.100 <br />, <br />45 <br />97.134 <br />2.866 <br />.0.238 <br />6 00 <br />99.452 <br />0.548 <br />26 <br />222.3 <br />6;07 <br />5.2t <br />7 <br />819,0 <br />1.65 <br />1.44 <br />1.24! <br />L A <br />.89 <br />.73 <br />0.246 <br />30 <br />99.357 <br />0.643 <br />TABLE X1. <br />SHORT RADIUS CURVES <br />26 24 22 20 <br />Inch Ineh Inch Inch <br />142120 <br />. lA1 .84 <br />L60 1.35 1.14 .94 <br />1.78 1.50 1.27 1.04 <br />1.95 1.65 1.39 1.15 <br />2.15 1.81 1.54 1.26 <br />2.30 1.96 1.06 1.36 <br />2.48 2.10 1.78 1.46 <br />2.68 2.26 1.91 1.57 <br />2.83 2.40 2.041.67 <br />3.02 2.57 2.18 1.78 <br />3.18 2.70 2.28 1.87 <br />3.36 2.86 2.41 1.08 <br />3.65 3.00 2.54 2.09 <br />3.84 3.30 2.80 2.29 <br />1.20 3;593.04 2.50 <br />4.58 3.883.29 2.70 <br />Radins <br />Feet <br />Chord <br />Feet <br />Central <br />Angle <br />Deflection <br />Angle <br />Deflection <br />for 1 Foct <br />.35 . <br />10 <br />16.26 <br />8-13 <br />49.3 <br />45 <br />10 <br />12-46 <br />6-23 <br />38.3 <br />50 <br />15 <br />17-16 <br />8-39 <br />34.5' <br />60 <br />15 <br />14-22 <br />7-11 <br />28.8 <br />75 <br />15 <br />11-30 <br />5-45 <br />23.0 <br />100 <br />20 <br />11-30 <br />5-45 <br />17.3 <br />120 <br />20 <br />9.34 <br />4-47 <br />14.3 <br />.150 <br />20 <br />7-39 <br />3-49 <br />11.5 <br />190 <br />25 <br />7-32 <br />3-46 <br />9.15 <br />200 <br />25 <br />7-10 <br />3-35 <br />8.6 <br />225 <br />25 <br />6=25 <br />3-12 <br />7.7 <br />240 <br />25 <br />5-58 <br />2-59 <br />7.2 <br />250 <br />25 <br />S144 <br />2-52 <br />6.9 <br />• '275 <br />25 <br />5-12 <br />2-36 <br />6.2 <br />288 <br />50 <br />9-58 <br />4-59 <br />6.0- <br />300 <br />50 <br />9-32 <br />4-46 <br />5.7 <br />350 <br />50 <br />8-12 <br />4-06 <br />4.9 <br />376 <br />50 <br />7-40 <br />3-50 <br />4.6 <br />• 400 <br />50 <br />7-10 <br />3-35 <br />4.3 <br />-410 <br />50 <br />7.00 <br />3-30 <br />4.2 <br />Ij <br />Horizontal <br />Dumace <br />Carrecrian <br />R1°c <br />Pcr Foot <br />slope <br />Horizontal <br />Dutaaee <br />Ir. <br />Rae <br />Per Foot <br />0100' <br />100.000 <br />0.000 <br />0.000 <br />8'00' <br />99.027 <br />To find lengtJhofcurve <br />divide angle from P. C. to P. T. by central angle of chord, <br />15' <br />and multiply by length of chord. <br />0.001 <br />TA13LE XII. <br />I INCLINED DISTANCE OF 100 FT. REDUCED TO HORIZONTAL <br />Slope <br />Horizontal <br />Dumace <br />Carrecrian <br />R1°c <br />Pcr Foot <br />slope <br />Horizontal <br />Dutaaee <br />Correction <br />Rae <br />Per Foot <br />0100' <br />100.000 <br />0.000 <br />0.000 <br />8'00' <br />99.027 <br />0.973 <br />0.139 <br />15' <br />99.999 <br />0.001 <br />0.004 <br />15' <br />98.965 <br />1.035 <br />0.143 <br />30' <br />99.996 <br />0.004 <br />0.009 <br />30' <br />98.902 <br />1.098 <br />0.148 <br />45' <br />99.991 <br />0.009 <br />0.013 <br />45' <br />98.830 <br />1.164 <br />0.152 <br />1 00 <br />99.985 <br />0.015 <br />0.017 <br />900 <br />98.769 <br />1.231 <br />0.156 <br />15 <br />99.976 <br />0.024 <br />0.022 <br />15 <br />98.700 <br />1.300 <br />0.161 <br />80 <br />99.966 <br />0.034 <br />0.026 <br />30 <br />98.629 <br />1,371 <br />0.165 <br />45 <br />99.953 <br />0.047 <br />0.081 <br />45 <br />98.556 <br />1.444 <br />0.169 <br />2 00 <br />99.939 <br />0.061 <br />0.035 <br />1000 <br />98.481 <br />1.519 <br />0.174 <br />15 <br />99.923 <br />0.077 <br />0.039 <br />15 <br />98.404 <br />1.596 <br />0.178 <br />30 <br />99.905 <br />0.095 <br />0.044 <br />.30 <br />08.325 <br />1.675 <br />0.182 <br />45 <br />99.885 <br />0.115 <br />0.048 <br />45 <br />98.245 <br />1.755 <br />0.187 <br />3 00 <br />99.863 <br />0.137. <br />0.052 <br />11 00 <br />98.163 <br />1.837 <br />0.191 <br />15 <br />99.839 <br />0.161 <br />0.057 <br />15 <br />98.079 <br />1.921 <br />0.195 <br />80 <br />99.813 <br />0.187 <br />0.061 <br />30 <br />97.99 <br />2.008 <br />0.199 <br />45 <br />99.786 <br />0.214 <br />0.065 <br />45 <br />97.905 <br />2.095 <br />0.204 <br />4 00 <br />99.756 <br />0.244 <br />0.070 <br />12 00 <br />97,815 <br />2.185 <br />0.208 <br />15 <br />99.725 <br />.0.275 <br />0.074 <br />15 <br />97.723 <br />2.277 <br />0.212 <br />30 <br />419.692 <br />0.308 <br />0.078 <br />80 <br />97.63D <br />2.370 <br />0.216 <br />45 <br />99.657 <br />0.343 <br />0.083 <br />45 <br />97.584 <br />_ <br />2.488 <br />0.221 <br />S 00 <br />99.619 <br />0.381 <br />0.087 <br />13 00 <br />97.487 <br />2.563 <br />0.225 <br />15 <br />99.580 <br />0.420 <br />0.092 <br />15 <br />97.338 <br />8.862 <br />0.229 <br />30 <br />99.540 <br />0.460 <br />0.096 <br />80 <br />97.237 <br />2.763 <br />. 0.233 <br />45 <br />99.497 <br />0.503 <br />0.100 <br />, <br />45 <br />97.134 <br />2.866 <br />.0.238 <br />6 00 <br />99.452 <br />0.548 <br />0.105 <br />14 00_ <br />.97.030 <br />2.070 <br />0.242 <br />15 <br />99.496 <br />0.594 <br />0.109 <br />15 <br />96.923 <br />3.077 <br />0.246 <br />30 <br />99.357 <br />0.643 <br />0.113 <br />30 <br />96.815 <br />9.185. <br />0.250 <br />45 <br />99:307 <br />0.693 <br />0.118 <br />45 <br />.96.705 <br />3.295 <br />0.255 <br />7 00 <br />99.255 <br />0.745 <br />0.122 <br />15 00. <br />96.593 <br />8.407 <br />0.259 <br />_ <br />15 <br />99.200 <br />0.800 <br />0.126 <br />15 <br />96.479 <br />3.521 <br />0.263 <br />80 <br />99.144 <br />0.856 <br />0.131 <br />30 <br />86.36.3 <br />8.687 <br />0.267 <br />45 <br />99.087 <br />1 0.913 <br />1 0.135 <br />45.r <br />96.246 1 <br />3.754 <br />0.271 <br />TABLE XIII. <br />MMUTES IN DECIMALS OF A DEGREE. <br />0 80".00833 <br />10'30",17500 <br />20.30".34167 <br />30;30' <br />.50833 <br />40'30".675110 <br />50'90" <br />.84167 <br />1 00 <br />.01667 <br />11 00 <br />.18333 <br />21 00 <br />.85000 <br />31 00 <br />.51667 <br />41 00 <br />.68333 <br />51 00 <br />.65000 <br />80 <br />.02500 <br />80 <br />.19187 <br />30 <br />.35633 <br />30 <br />.52500 <br />30 <br />.69167 <br />30. <br />'.&5833 <br />200 <br />.03333 <br />12 00 <br />.2000 <br />2200 <br />.36667 <br />3200 <br />.53333 <br />42 00 <br />.70000 <br />5200 <br />.SWa <br />30 <br />.04167 <br />80 <br />.20833 <br />80 <br />.37500 <br />30 <br />.54167 <br />. W <br />.70833 <br />30 <br />.87500 <br />300 <br />.05000 <br />13 00 <br />.21667 <br />WOO <br />.38333 <br />83 00. <br />.550M <br />4800 <br />.71667 <br />53 00 <br />.88333 <br />30 <br />.0%M <br />30 <br />.22500 <br />80 <br />.39167 <br />30 <br />.558.33 <br />30 <br />.72.500 <br />30 <br />.89167 <br />4 OO <br />.06667 <br />14 00 <br />.23333 <br />2400 <br />.40000 <br />3400 <br />.56667 <br />4400 <br />.73333 <br />54 W <br />.90000 <br />30 <br />.07500 <br />80 <br />.24167 <br />30 <br />.40833 <br />80 <br />.57500 <br />30 <br />.74167 <br />30 <br />.90833 <br />5 00 <br />.08333 <br />15 00 <br />.25000 <br />_ <br />25'00 <br />.41667 <br />3500 <br />.58333 <br />45 DO <br />.75000 <br />5500 <br />.91667 <br />30 <br />.09167 <br />30 <br />.85833 <br />30 <br />.42500 <br />30 <br />.59167 <br />M <br />.75633 <br />30 <br />.92500 <br />6 00 <br />.1000 <br />1800. <br />.26667 <br />26 W <br />333 .43 <br />3600 <br />.60000 <br />46 W <br />.76667 <br />5660 <br />.93333 <br />30 <br />.10833 <br />30 <br />.27500 <br />30 <br />.44167 <br />30 <br />.60833 <br />30 <br />.77500 <br />30 <br />.94167 <br />7 W <br />.11667 <br />17 M <br />.28333 <br />27 00 <br />.4500 <br />3700 <br />.61667 <br />4700 <br />.78333 <br />57 00 <br />.9WW <br />30 <br />.12500 <br />80 <br />.29167 <br />30 <br />.45833 <br />30 <br />.62500 <br />80 <br />.79167 <br />30 <br />.95&4,4 <br />8 00 <br />.13333 <br />18 OD <br />.SMW <br />28 00 <br />.48667 <br />3800 <br />.63383 <br />4800 <br />.8000 <br />58 W <br />.96667 <br />30 <br />.14167 <br />30 <br />.30833 <br />30 <br />.47500 <br />30 <br />.641$7 <br />30 <br />.80833 <br />30 <br />.97500 <br />9 00 <br />.1500119 <br />00 <br />.31667 <br />29 00 <br />.48333 <br />39 00 <br />.6500 <br />49 0 <br />.81067 <br />59 00 <br />.98333 <br />30 <br />.15833 <br />30 <br />.32500 <br />30 <br />30 <br />30 <br />30 <br />11000 <br />.166671241 <br />00 <br />.33333 <br />30 00 <br />.49167 <br />.50000 <br />40 00 <br />.OQ3 <br />.06667150 <br />00 <br />.82500 <br />.83=1 <br />60 oD <br />.99167 <br />l.oa000 <br />I <br />