|
TABLE I. - Tangents and Externals to a 1°. Curve.
<br />Chord=100 ft.
<br />Agig
<br />Tangent
<br />External.
<br />Alnngle
<br />Tangent
<br />External
<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 />2681.9
<br />.596.6;
<br />10'
<br />3121.7
<br />.093 .142 .188 .236
<br />20 :
<br />2276.2
<br />435.6
<br />20
<br />2692.1
<br />.600.9
<br />20
<br />3132.6
<br />.795.2
<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 />609.6
<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 />3197.8
<br />' 832.0
<br />,
<br />30
<br />2344.1
<br />461.0
<br />30
<br />2763.7
<br />.631,7'
<br />30
<br />.3208.8
<br />837.3
<br />40
<br />2353.8
<br />464.6
<br />40
<br />2773.9
<br />.636.2
<br />40
<br />3219:7
<br />842.7
<br />50
<br />2363.5
<br />468.4
<br />50
<br />2784.2
<br />640.71
<br />50
<br />3230.7
<br />848.1
<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 />858.9
<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 />80
<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 />487.2
<br />40
<br />2835.9
<br />663.4
<br />40
<br />3285.8
<br />875.3
<br />50
<br />2422.3
<br />491.0
<br />50
<br />.2846.3
<br />668.0
<br />50
<br />3296.9
<br />880.8
<br />-46
<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 />2888.0
<br />686.7
<br />30
<br />3341.4
<br />;903.2
<br />40
<br />2471.5
<br />510.3
<br />40
<br />2898.4
<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 />914.5
<br />47
<br />2491.3
<br />518.2
<br />b4 .
<br />2919.4
<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 />48
<br />2551.0
<br />542:2
<br />55
<br />2982.7
<br />729.9
<br />62
<br />3442.7
<br />954.8
<br />- 10
<br />2561.0'
<br />546.3
<br />-10
<br />2993:3
<br />734.8
<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 />.966.5
<br />30
<br />2581.0
<br />554.5
<br />80
<br />3014.5
<br />744.6
<br />30
<br />3476.8
<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 />3035.8
<br />754.6,
<br />= 50
<br />'3499.7
<br />,984.3
<br />49 .
<br />2611.2
<br />566.9
<br />56
<br />3046.5
<br />759.6
<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 />.3522.6
<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 />3078.7
<br />774.7
<br />30
<br />.3545.6
<br />1008.3
<br />40
<br />2651.5
<br />583.8
<br />40
<br />3089.4
<br />779.8
<br />40
<br />3557.2
<br />1014.4
<br />50
<br />'2661.6
<br />588.0
<br />50 .
<br />3100.2.
<br />784.9
<br />50
<br />3568:7
<br />1020.5
<br />Corrections to be Added (T = Tangent. - E = External.).
<br />A�ngla Carve 5° .00 15° 20° 1 25° j 30' 35° 1 40° 1 45° 1 50° I 55° 1 60° 1 65° j 70°
<br />P- 73 I 9a I 10 I FR 1-a7 1 Rn I aR I inn I 1 7n 1 Rd 1 d0 1 ad 1 7e 1 01
<br />W
<br />E=.023
<br />1 .046 .070 .093 .117
<br />..141 .172 .203 .234 .265 .277 .290 .315 .341
<br />Tangent
<br />T=,15
<br />.30 .44 .60 .76
<br />.91 1.06 1.21 1.37 1.52 1.70 1.87 2.04 2.21
<br />.450
<br />E=,030
<br />:.060 .093 .119 .153
<br />.184 .216 .254 •.289 .325 .351 .378 .411 .44E
<br />500
<br />.T9.17
<br />.34 .51.68 85
<br />1.02 1.19 1.36 1.54. 1.72 1.91' 2.10 2.29 2.48
<br />4639.8
<br />E=,037
<br />.075 .116 .151 .189
<br />.227 .266 .305 .345 •.384 .425 .467 .508 .550
<br />1032:8.
<br />T=.19
<br />38 .57 .76 .95
<br />1.14 1.32 1.52 1.72 1.92 2.14 2.35 2:58 2,77
<br />10'
<br />E=.046
<br />.093 .142 .188 .236
<br />.283 .332 3.81 .420 .479 .530 .582 .641 .700
<br />60°
<br />T=,21
<br />.42 .63 .84 1.05
<br />1.27 1.49 1.71 1.94 2.17 2.38 2.60 2.83 3.U7
<br />1322.9
<br />E=,056
<br />.112 .168 .225 .283
<br />.340 .398 .457 .516 .575 .636 .697 .774 .851
<br />Gro
<br />T=.23
<br />.46 .69 93 1.16
<br />1.40 1.64 1.88 2.13 2.38 2.63 2.88 3.13 3.39
<br />4124.8
<br />E=,067
<br />.135 .204 .273 .343
<br />.412 .483 .554 .625 .697 .711 .845 .922 1.01
<br />Q
<br />v
<br />T"tm L- Tangents and Externals to a 1' Curve.
<br />Chord =100 ft.
<br />Angle
<br />Tangent
<br />External
<br />Int. i
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />64°
<br />3580:3
<br />1026.6
<br />71° :
<br />4086.9
<br />1308.2
<br />78°
<br />4639.8
<br />1643.0
<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 />4681.3
<br />1669.2
<br />40
<br />3626:8
<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 />1686.9
<br />65
<br />3650.2
<br />1063:9
<br />72'
<br />'4162.8
<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 />1076.6
<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 />',i 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 />50
<br />3709.0
<br />1095.7
<br />.
<br />'50
<br />4226,8
<br />1390,4
<br />, 50
<br />4793.6
<br />'1740.8
<br />66 .
<br />3720.9
<br />1102:2
<br />73
<br />s
<br />.4239.7
<br />1398.0
<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 />4265.6
<br />"1413.5
<br />20
<br />4836,2
<br />1768,2
<br />30
<br />3756.5
<br />1121.7
<br />-"30
<br />,4278.5
<br />1421.2
<br />30
<br />4850.5
<br />1777.4
<br />40
<br />3768.5
<br />1128.2
<br />40
<br />4291.5
<br />1429,0
<br />40
<br />4864.8
<br />1786.7
<br />50
<br />3780.4
<br />:1134.8
<br />,.50
<br />4304.6
<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 />1805.3
<br />10
<br />3804.4
<br />1148.0
<br />10
<br />.4330.7
<br />1452.5
<br />10
<br />4908.0
<br />1814.7
<br />20
<br />3816.4'
<br />1154.7
<br />20.
<br />.4343.8
<br />1460.4
<br />20
<br />4922.5
<br />1824.1
<br />-30
<br />3828.4
<br />1161.3
<br />30.
<br />4356.9
<br />1468.4
<br />30
<br />4937.0
<br />1833.6
<br />40
<br />3840.5
<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 />4383.3
<br />1484,4
<br />50
<br />4966.1
<br />1852.6
<br />68
<br />3864.7
<br />1181..6
<br />75
<br />74396.5
<br />1492.4
<br />82
<br />4980.7
<br />1862.2
<br />10
<br />3876.8
<br />1188.4
<br />10
<br />4409.8
<br />1500.5
<br />10
<br />4995.4
<br />1871.8
<br />20.
<br />3889.0
<br />1195.2
<br />20
<br />4423.1
<br />1508.6
<br />20
<br />5010.0
<br />1881.5
<br />30
<br />3901.2
<br />1202.0
<br />30
<br />4436.4
<br />1516,7
<br />30
<br />5024.8
<br />1891.2
<br />40
<br />3913.4
<br />1208.9
<br />40
<br />4449.7
<br />1524.9
<br />40
<br />5039.5
<br />1900.9
<br />50
<br />'3925.8
<br />1215.8
<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 />w 83
<br />5069.2
<br />1920:5
<br />10
<br />8950,2
<br />1229:7
<br />10"
<br />4489.9_
<br />:1549.7
<br />10
<br />5084.0
<br />1930:4
<br />20.
<br />3962.5
<br />1236.7
<br />20
<br />.4503:4
<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 />-
<br />30
<br />5113.9
<br />1950.3
<br />40
<br />3987.2
<br />1250.8
<br />40
<br />'4530:4
<br />1574.7
<br />40
<br />5128.9
<br />1960.2
<br />.'50
<br />.3999.5
<br />1257.9
<br />50
<br />4544.0
<br />1583.1
<br />50
<br />5143.9
<br />1970.3
<br />70
<br />4011,9'';1265.0
<br />77
<br />4557,6
<br />1591,6
<br />84
<br />5159.0
<br />'1980.4
<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 />4584.8
<br />1608.6
<br />20
<br />5189.3
<br />2000.6
<br />30.
<br />'4049.3
<br />1286.5
<br />30
<br />4598.5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40'
<br />4061.8
<br />1293.6
<br />40
<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 />5234.9
<br />2031.4
<br />Corrections to be Added (T =Tangent. E =External.)
<br />Int CurvO 5° 10° 15° 20° 25° 1 30° 1 35° 40° 1 45° 1 50° 55° 1 600 j 65° 1 70°
<br />An¢le
<br />60°
<br />E=.056
<br />.112 .168 .225 1:283 1.340 1.398 1.457 1.516 x.575 °.836 x.697 x.774 J 851
<br />65°
<br />1.16 1 .13 2 2.88
<br />2.38
<br />1.412 1. 2.845 3
<br />E= 087:
<br />5.88 54
<br />.135 .204 .273 343 83 .625 697 .711 922 1.01
<br />700
<br />T=.25
<br />.51 .76 1.02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 3.44 3.72
<br />'.159
<br />E=.080
<br />.240 .321 .403 .485 .568 .652 .735 .819 .908 .994 1.08' 1.17
<br />750:
<br />T=.27
<br />,56' .83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 3.47 3.78 4.09
<br />E=.095
<br />.182 .286 .383 .480 .578 :678 .777 .877 .977 1.07 1.18 1.29.139
<br />�o
<br />T=.30
<br />61 ''.91 1.22 1.53 1.84 2.15 2.46 2.78 3.10 3.44 3.78 4:12 4.48
<br />E-110
<br />.220 .332 .445 .558 .671 .787 .903 1.02 1.13 1.25 1.38 1.50" 1.62 :.
<br />&So
<br />T=.33
<br />88 1,00 1.33 1.68 2.02 2.38 2.70 3.05 3.40 3.77 4.14 4.55 4.89
<br />E=,128
<br />.259 391 .524 .657 .790 .926 1.06 1.20 1.34 1.47 1.62 1,78 1.91
<br />
|