Laserfiche WebLink
r" IV TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />Int. <br />-Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External. <br />43° <br />2257:0 <br />428.5 <br />501 <br />2671.8 <br />592.3 <br />57° <br />3110.9 <br />790.1; <br />.10' <br />2266.6 <br />432.0 <br />10' <br />2651.9 <br />596.6 <br />10' <br />3121.7, <br />795.2 <br />20 <br />2276.2 <br />435.6 <br />20 <br />2692.1 <br />600.9 <br />20 <br />3132.6 <br />800.4 <br />30 <br />2285.9 <br />439.2 <br />30 <br />2702.3 <br />605.3 <br />30. <br />3143.4 <br />805.6§° <br />40 <br />2295.6 <br />442.8 <br />40 <br />2712.5 <br />G09.6 <br />40 <br />3154.2 <br />810.9 " <br />50 <br />2305.2 <br />446.4 <br />50 <br />2722.7 <br />614.0 <br />50 <br />3165.1 <br />816.1-; <br />44 <br />2314.9 <br />450.0 <br />51 <br />2732.9 <br />618.4 <br />58 <br />3176.0 <br />821_4 <br />10 <br />2324.6 <br />453.6 <br />10 <br />2743.1 <br />622.8 <br />- 10 <br />3186.9 <br />826.7` <br />20 <br />2334.3 <br />457.3 <br />20 <br />2753.4 <br />627.2 <br />20 <br />3197.5 <br />832.0" <br />30 <br />2344.1 <br />461.0 <br />30 <br />2763.7 <br />63t.7 <br />30 <br />3208.8 <br />837.3`"; <br />40 <br />2353.8 <br />4&1.6 <br />40 <br />2773.9 <br />6361.2 <br />40 <br />3219.7 <br />842.1 <br />50 <br />2363.5 <br />463.4 <br />50 <br />.2784.2 <br />640.7 <br />50 <br />3230.7 <br />S4S.1 <br />45. <br />2373.3 <br />472.1 <br />52 <br />2794.5 <br />645.2 <br />59 <br />3241.7 <br />853.5 <br />10 <br />2383.1 <br />475.8 <br />10 <br />2804.9 <br />649.7 <br />10 <br />3252.7 <br />855.9 <br />20 <br />2392.8 <br />479.6 <br />20 <br />2815.2 <br />654.3 <br />20 <br />3263.7 <br />864.3 <br />.30 <br />2402.6 <br />483.4 <br />30 <br />2825.6 <br />658.8 <br />30 <br />3274.8 <br />869.8 <br />40 <br />2412.4 <br />437.2 <br />40 <br />2835.9 <br />603.4 <br />40 <br />3285.8 <br />875.3 <br />.50 <br />2422.3 <br />491.0 <br />: 50 <br />2840.3 <br />608.0 <br />50 <br />329G.9 <br />380.8 <br />48 <br />2432.1 <br />494.8 <br />53 <br />2856.7 <br />672.7 <br />60 <br />3308.0 <br />.886.4 <br />10 <br />2441.9 <br />498.7 <br />10 <br />2867.1 <br />677.3 <br />10 <br />3319.1 <br />892.0 <br />20 <br />2451.8 <br />502.5 <br />20 <br />2877.5 <br />682.0, <br />. 20 <br />3330.3 <br />897.5 . <br />30 <br />2461.7 <br />506.4 <br />30 <br />2SSS.0 <br />686.7 <br />30 <br />3341.4 <br />003.2 -: <br />'40 <br />2471'.5 <br />510.3 <br />40 <br />2895.4 <br />691.4 <br />40 <br />3352.6 <br />908.8 <br />50 <br />2481.4 <br />514.3 <br />.50 <br />2908.9 <br />696.1 <br />" 50 <br />3363.8 <br />014.5 <br />&7 <br />2491.3 <br />515.2 <br />54 <br />2910.4 <br />700.9 <br />61 <br />3375.0 <br />920.2 <br />10 <br />2501.2 <br />522.2 <br />10 <br />2929.9 <br />705.7 <br />10 <br />3386.3 <br />925.9 <br />20 <br />2511.2 <br />526.1 <br />20 <br />2940.4 <br />710.5 <br />20 <br />3397.5 <br />931.6 <br />30 <br />2521.1 <br />530.1 <br />30 <br />2951.0 <br />715.3 <br />30 <br />3408.8 <br />.937.3 <br />'40 <br />2531.1 <br />534.2 <br />40 <br />2961.5 <br />720.1 <br />'40 <br />3420.1 <br />943.1 <br />50 <br />2541.0 <br />538.2 <br />50 <br />2972.1 <br />725.0 <br />50 <br />3431.4 <br />948.9 <br />49 <br />2551.0 <br />542.2 <br />55 <br />2982.7 <br />720.9 <br />62 <br />3442.7. <br />95.4.8 <br />10 <br />25G1.0 <br />546.3 <br />10 <br />2993.3 <br />734.3 <br />10 <br />3454.1 <br />960.6 <br />20 <br />2571.0 <br />550.4 <br />. 20 <br />3003.9 <br />739.7 <br />20 <br />3465.4 <br />9616.5 <br />.30 <br />2581.0 <br />554.5 <br />30 <br />3014.5 <br />744.6 <br />30 <br />3470.8 <br />972.4 <br />40 <br />2591.0 <br />558.6 <br />40 <br />3025.2 <br />749.6 <br />40 <br />3488.3 <br />978.3 <br />50 <br />2601.1 <br />562.8 <br />50 <br />3035.5 <br />754.6 <br />50 <br />3499.7 <br />984.3 ' <br />49 <br />2611.2 <br />566.9 <br />5G <br />3046.5 <br />759.,E <br />63 <br />3511.1 <br />990.2 <br />10 <br />2621.2 <br />.571.1 <br />10 <br />3057.2 <br />764.6 <br />10 <br />3522.0 <br />996.2 <br />20 <br />2631.3 <br />575.3 <br />20 <br />3067.9 <br />769.7 <br />20 <br />3534.1 <br />1002.3 <br />30 <br />2641.4 <br />579.5 <br />30 <br />3075.7 <br />774.7 <br />30 <br />3545.0 <br />1008.3 <br />40 <br />2651..5 <br />583.8 <br />40 <br />3OS9.4 <br />779.8 <br />40 <br />3557.2 <br />1014.1 <br />50 <br />2661.6 <br />558.0 <br />50 <br />3100.2 <br />754.9 <br />50 <br />3563.7 <br />1020.5 <br />Corrections to be Added (T = Tangent. E = External.) <br />Innglu <br />Curve 5° <br />10° 15° 20° <br />25° <br />30° 35° 40° 45° <br />50° <br />55° 60° <br />65° 70° <br />40° <br />T=.13.26 <br />.40 .53 <br />.67' <br />.80 .93 .106 1.20 <br />1.34 <br />1.49 1.64 <br />1.79 1.04 <br />4G39.8 <br />F =.023 <br />.016 .070 .093 <br />.117 <br />.141 .172 .203 .234 <br />.265 <br />.277 290 <br />.315 .341 <br />45° <br />T=.15 <br />.30 .44 .60 <br />.70 <br />.91 1.06 1.21 1.37 <br />1.52 <br />1.70 1.87 <br />2.04 2.21 <br />1322.9 <br />E =.030 <br />.060 .093 .119 <br />.153 <br />.184 .216 .254 .289 <br />.325 <br />.351 .378 <br />.411 .445 <br />50° <br />T=17 <br />.34 .51 .68 <br />85 <br />1.02 1.19 1.36 1.54 <br />1.72 <br />1.01 2.10 <br />2.29 2.48 <br />40 <br />E =.037 <br />.075 .116 .151 <br />.189 <br />227 .266 .305 .345 <br />.334 <br />.425 .467 <br />.508 .550 <br />55° <br />T=•19 <br />.38 .57 .76 <br />.95 <br />1.14 1.32 1.52 1.72 , <br />1.92 <br />2.14 2.35 <br />2.56 2.77 <br />3650.2 <br />E=.046 <br />.093 .142 .188 <br />236 <br />.283 .332 3.81 .420 <br />.479 <br />.530 .582 <br />.641 .'00 <br />600 <br />T=.21 <br />.42 .63 84 <br />1.05 <br />1.27 1.49 1.71 1.94 <br />2.17 <br />2.38 2.60 <br />2.R3 3.07 <br />1704.7 <br />E=.056 <br />.112 .168 225 <br />283 <br />.340 .398 .457 .516 <br />.575 <br />.G35 .697 <br />.774 .851 <br />65° <br />T=.23 <br />.46 .69 93 <br />1.16 <br />1.40 1.64 1.83 2.13 <br />2.38 <br />2.63 2.88 <br />3.13 3.39 <br />30. <br />E=.067 <br />.135 .204 173 <br />343 <br />.412 .483 554 .625 <br />.697 <br />.711 .845 <br />.922 1.01 <br />TABLE I. Tangents and Externals to a P Curve. V. <br />Ch nrd =100 ft. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angie <br />Tangent <br />External <br />64° <br />35SO.3 <br />1026.6 <br />71° <br />4086.9 <br />1308.2 <br />78° <br />4G39.8 <br />1G43.0 <br />10' <br />3591.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />4653.6 <br />1651.7 <br />20 <br />3603.5 <br />1039.0 <br />20 <br />4112.1 <br />1322.9 <br />20 <br />4667.4 <br />1660.5 <br />30 <br />3615.1 <br />1045.2 <br />30 <br />4124.8 <br />1330.3 <br />30 <br />4081.3 <br />1669.2 <br />40 <br />3626.5 <br />'1051.4 <br />40 <br />4137.4 <br />1337.7 <br />40 <br />4695.2 <br />1678.1 <br />50 <br />3638.5 <br />1057.7 <br />50 <br />4150.1 <br />1345.1 <br />50 <br />4709.2 <br />1GS6.9 <br />G5 <br />3650.2 <br />1063.9, <br />72 <br />4162.5 <br />1352.6 <br />79 - <br />4723.2 <br />1695.8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175.6 <br />1360.1; <br />10 <br />4737.2 <br />1704.7 <br />20 <br />3673.7 <br />107G.6 <br />20 <br />4188.5. <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3685.4 <br />1082.9 <br />' 30 <br />4201.2 <br />1375.2 <br />30. <br />4765.3 <br />1722.7 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />4214.0 <br />1382.8 <br />40. <br />4779.4 <br />1731.7 <br />1740.8 <br />50 <br />3709'.0 <br />1095.7 <br />50 <br />4220.8 <br />1390.4 <br />50 <br />4793.6 <br />2.78 <br />GG <br />3720.9. <br />1102.2'. <br />73 <br />4239.7 <br />1395.0 <br />80. <br />4807.7 <br />1749.9 <br />10 <br />3732.7 <br />1108.6 <br />10 <br />4252.6 <br />1405.7 <br />10 <br />4822.0 <br />1759.0 <br />20 <br />3744.6 <br />1115.1 <br />20 <br />42(55.6 <br />1413.5 <br />20 <br />4836.2 <br />17GS.2 <br />30 <br />3756.5 <br />1121.7 <br />30 <br />4278.5 <br />1421.2 <br />30 <br />4S50.5 <br />1777.4 <br />40 <br />3768.5 <br />1128.2 <br />40 <br />4201.5 <br />1429.0 <br />40 <br />4864.8, <br />1786.7 <br />50 <br />3780.4 <br />1134.8 <br />50 <br />4301.6 <br />1436.8 <br />50 <br />4879.2 <br />1796.0 <br />67 <br />3792.4 <br />1141.4 <br />74 <br />4317.6 <br />1444.6 <br />81 <br />4893.6 <br />1405.3 <br />10 <br />3804.4 <br />1143.0 <br />10 <br />4330.7 <br />1452.5 <br />10 <br />.908.0 <br />1814.7 <br />20 <br />3S16.4 <br />1154.7 <br />20 <br />4343.8 <br />1400.4 <br />20 <br />4922.5 <br />1824.1 <br />30 <br />3825.4 <br />1161.3 <br />30 <br />4356.9 <br />1468.4 <br />30 <br />4937.0 <br />1833.6 <br />40 <br />3540.5 <br />1168.1 <br />40 <br />4370.1 <br />1476.4 <br />,40 <br />4951.5 <br />1843.1 <br />50 <br />3852.6 <br />1174.8 <br />50 <br />4353.3 <br />1484.4 <br />50 <br />4966.1 <br />1852.6 <br />68 <br />3864.7 <br />1181.6 <br />75 <br />439G.5 <br />1492.4 <br />: S2 <br />4980.7 <br />'4995.4 <br />1862.2 <br />10 <br />3876.8 <br />1158.4 <br />10 <br />4409.5' <br />1500.5 <br />10 <br />1871.8 <br />20 <br />3SS9.0 <br />1195.2 <br />20 <br />4423.1 <br />1508.0 <br />20 <br />5010.0 <br />1581.5 <br />30 <br />3901.2 <br />1202:0 <br />30 <br />4436.4 <br />1516.7 <br />10 <br />5024.8 <br />1891.2 <br />40 <br />3913.4 <br />1205.9 <br />40 <br />4449.7 <br />1524.9 <br />40 <br />5039.5 <br />1900.9 <br />50 <br />3925.6 <br />1215.5 <br />50 <br />4463.1 <br />1533.1 <br />50 <br />5054:3 <br />1910.7 <br />69 <br />3937.9 <br />1222.7 <br />76 <br />4476.5 <br />1541.4 <br />83 <br />5069.2 <br />1020.5 <br />10 <br />3950.2 <br />1220.7 <br />10 <br />4459.9 <br />1549.7 <br />10 <br />5084.0 <br />1930.4 <br />20 <br />3962.5 <br />1236:7 <br />20 <br />4503.•1 <br />1558.0 <br />20 <br />5099.0 <br />1940.3 <br />30 <br />3974.8 <br />1243.7 <br />30 <br />4516.9 <br />1566.3 <br />'30 <br />5113.9 <br />1950.3 <br />40 <br />39S7.2. <br />1250.8 <br />40 <br />4530.,t <br />1574.7 <br />40 <br />5128.9 <br />1960.2 <br />50 <br />3999.5' <br />1257.9 <br />50 <br />4514.0 <br />1583.1 <br />50 <br />5143.9 <br />1070.3 <br />70 <br />4011.9. <br />1265.0 <br />77 <br />4557.6 <br />'1501.6 <br />84 <br />5159.0 <br />1950.4 <br />10 <br />4024.4 <br />1272.1 <br />10 <br />4571.2 <br />1600.1 <br />10 <br />5174.1 <br />1990.5 <br />20 <br />4036.8 <br />1279.3 <br />20 <br />4534.8 <br />1G08.6 <br />20 <br />5180.3 <br />2000.6 <br />30 <br />4049.3 <br />1256.5 <br />30 <br />4548.5 <br />1617.1 <br />30 <br />&201.4 <br />2010.8 <br />40 <br />4061.8 <br />1293.6 <br />110 <br />4612.2 <br />1625.7 <br />40 <br />5219.7 <br />2021.1 <br />50 <br />4074.4 <br />1300.9 <br />50 <br />4626.0 <br />1634.4 <br />50 <br />5234.0 <br />2031.4 <br />Corrections to he Added (T =Tangent. E=External.) <br />Int. Curve 5° <br />10° 1 <br />15° <br />20° <br />25° 30° 35° <br />40° <br />45° <br />50° 5? <br />60° <br />65° <br />70° <br />.9ngle <br />1 .05 1.340 .27 1.398 .49 <br />1.457 .71 <br />1.516 <br />2.17 2.836 .38 <br />2.697 .60 <br />2.774 <br />3 <br />�° <br />E=.056 <br />.112 <br />.168 <br />.225 <br />283 <br />.575 <br />851 <br />1.16 <br />1.412 1.64 <br />1.88 <br />r.13 <br />7.38 <br />2.711 <br />2.83 <br />3.922 <br />65° E = 067 <br />.135 <br />.204 <br />.933 <br />.343 .483 <br />54 <br />.625 <br />.697 <br />85 <br />1.01 <br />T=.25 <br />.51 <br />.76 <br />1.02 <br />1.28 1.54 ].80 <br />2.06 <br />2.33 <br />2.GO 2.58 <br />3.16 <br />3.44 <br />3.72 <br />70° <br />E =.080 <br />.159 <br />.240 <br />.321 <br />.403 .485 .568 <br />.652 <br />735 <br />.819 .906 <br />.994 <br />1.08 <br />1.17 <br />T=.27 <br />.56 <br />1.12 <br />1.40 1.69 1.98 <br />2.27 <br />2.57 <br />2.87 3.10 <br />3.47 <br />3.75 <br />4.09 <br />75° E-.095 <br />.182 <br />.83 <br />256 <br />.383 <br />.480 .578 .678 <br />.777 <br />.877 <br />.977 1.07 <br />1.18 <br />1.29 <br />1.39 <br />T=.30 <br />1.22 <br />1.53 1.84 2.15 <br />2.46 <br />2.78 <br />3.10 3.44 <br />3.78 <br />4.12 <br />4.46 <br />80° E=.110 <br />.61 <br />.220 <br />.91 <br />.332 <br />.445 <br />.558 .671 .787 <br />.!J03 <br />1.02 <br />1.13 1.25 <br />1.38 <br />1.50 <br />1.62 <br />T=.33 <br />1.00 <br />1.33 <br />1.GS 2.02 2.3G <br />2.70 <br />3.05 <br />3.40 3.77 <br />4.14 <br />4.55 <br />4.89 <br />85° <br />E=.128 <br />.66 <br />.259 <br />.301 <br />.524 <br />.657 .790 .926 <br />1.06 <br />120 <br />1.34 1.47 <br />1.62 <br />1.76 <br />1.91 <br />