|
IV TABLE I. - Tangents and,Externals,to a 1° Curve.
<br />II Chord=100 ft_
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />g
<br />Tangent External
<br />Int.
<br />Angle.
<br />Tangent
<br />External
<br />-431.
<br />2257.0
<br />428.5
<br />500
<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 />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 />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 />G18.4
<br />68
<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 />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 />.503
<br />40
<br />3219.7.
<br />842.7
<br />50
<br />2363.5
<br />468.4
<br />50
<br />2784.2
<br />,636.2
<br />640.7
<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 />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 />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 />329.6.9
<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 />G77.3
<br />10
<br />3319.1'
<br />892.0
<br />20
<br />2451.8•
<br />502.5
<br />20
<br />2877.5
<br />G82.0:
<br />20
<br />3330.3
<br />897.5
<br />30
<br />2461.7
<br />50G.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 />:60
<br />2481.4;
<br />514.3
<br />50
<br />2908.0
<br />696.1
<br />50
<br />3363.8
<br />914.5
<br />47,
<br />2491.3,
<br />518.2
<br />54
<br />2919.4'
<br />700.9
<br />61
<br />3375.0
<br />920.2
<br />-:10
<br />.2801:2
<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 />20
<br />.931.6
<br />30
<br />:2521.1
<br />530.1
<br />30
<br />2951.0'
<br />715.3
<br />30
<br />,3397.5
<br />8408.8
<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 />552982.7
<br />76
<br />729.9
<br />62•.'
<br />3442.7.
<br />954.8
<br />n:10
<br />2561.0
<br />540.3
<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 />066.5
<br />-..30
<br />2581.0
<br />554.5
<br />.30
<br />3014.5
<br />744.6
<br />30
<br />3476.5
<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 />3067.0,
<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 />1.40
<br />3689.4
<br />779.8
<br />40
<br />,3557.2,
<br />1014.4
<br />50
<br />26G1.6
<br />588.0
<br />50 f
<br />3100.2
<br />,784.9
<br />50
<br />3563.7
<br />1020,5
<br />Corrections to be'Added.(T=Tangent::. E=External,)
<br />Angle
<br />Curbe'S°
<br />:10°
<br />35°
<br />20°
<br />25°
<br />30°
<br />35°
<br />1 40°
<br />45°
<br />50°
<br />,55°
<br />60'•
<br />65°
<br />,70°
<br />400
<br />.T=.13 E
<br />.26
<br />.40
<br />.53
<br />.67
<br />.80
<br />^.93
<br />.106
<br />1.20
<br />1.34
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />'20
<br />E =.023
<br />..046
<br />..070
<br />.093
<br />.117
<br />'.141
<br />.172
<br />.203
<br />.234
<br />..265
<br />.277
<br />' 290
<br />.315
<br />.311
<br />450'
<br />T=.15
<br />.36
<br />.44
<br />..60
<br />.76
<br />..91
<br />1.06
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.87
<br />2.04
<br />2.21
<br />50
<br />E=.030 .'.060
<br />1686.9
<br />.093
<br />1.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.259,
<br />.325
<br />'.351
<br />.378
<br />'.411
<br />.445
<br />50°
<br />T=.17
<br />.34
<br />..51
<br />.68
<br />.85
<br />1.02
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1.01
<br />2.10
<br />2.29
<br />2.48
<br />30
<br />E =:037:
<br />-.075
<br />.118.7.151
<br />4201.2
<br />.189
<br />.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />..425
<br />.467
<br />.503
<br />.550
<br />55°,
<br />T='.19.
<br />.33
<br />'.57
<br />.78
<br />'.05
<br />1.14
<br />1.32
<br />1.52
<br />1.72
<br />1.92
<br />2.14
<br />2.35
<br />2.56
<br />2.77
<br />73
<br />4239.7
<br />.093
<br />.142,
<br />.138
<br />'.236
<br />.283
<br />.332
<br />3.81
<br />.420
<br />.479
<br />,.530
<br />'.582
<br />.G=1
<br />.700
<br />20
<br />_E=.046.
<br />.•'.T=.21 •
<br />`.42
<br />.63
<br />.84
<br />1.05
<br />1.27
<br />1.4fl
<br />1.71
<br />1.94
<br />2.17
<br />2.38
<br />2.60
<br />2.°3
<br />3.07
<br />30
<br />=:05G'
<br />.112
<br />.168
<br />.225
<br />.233
<br />.340
<br />.398
<br />.457
<br />..516
<br />.575
<br />.636
<br />.697
<br />.774
<br />.8L1
<br />65°
<br />T=.23
<br />A6
<br />.69
<br />.93
<br />1.16
<br />1.40
<br />1.64
<br />1,88
<br />2.13
<br />2.38
<br />2.63
<br />2.88
<br />3.13
<br />3.39
<br />10
<br />E =.067
<br />.135
<br />.204
<br />..273
<br />'.343
<br />.412
<br />.483
<br />.554
<br />•.625
<br />.697
<br />.711
<br />.845
<br />.922
<br />1.01
<br />TABLE I. = Tangents and Externals to a 1° Curve. V
<br />Chord =100.f t.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Amgle
<br />Tangent
<br />Extemal
<br />Int.
<br />Angle.
<br />Tangent
<br />External
<br />640
<br />3550.3
<br />1026.6
<br />71°
<br />4056:9
<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 />1653.'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 />3315.1
<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 />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 />50
<br />422G.8
<br />1390.4
<br />50
<br />.4793.6
<br />1740.8
<br />66
<br />3720.9
<br />1102.2
<br />73
<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 />4322.0
<br />1759.0
<br />20
<br />3744.6
<br />1115.1
<br />'20
<br />42G5.6
<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 />37G8.5
<br />1128.2
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />,4364.8
<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 />3304.4
<br />1148.0
<br />10
<br />4330.7
<br />1452.5
<br />10
<br />4908.0
<br />1814.7
<br />20
<br />3316.4
<br />1154.7
<br />20
<br />4343.8
<br />1460.4
<br />20
<br />4922.5
<br />1324.1
<br />30
<br />3823.4
<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 />3352.6
<br />1174.8
<br />50
<br />4383.3
<br />1484,4
<br />_ 50
<br />.4966,:1
<br />1852.6
<br />68
<br />3SG4:7
<br />1181.6
<br />75
<br />4396.5
<br />1492:4
<br />82
<br />4980.7
<br />1862.2
<br />10
<br />'3S7G.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 />3925.6
<br />1215.8
<br />50
<br />.4463.1
<br />1533.1
<br />50
<br />5054,3
<br />1910.7
<br />69
<br />3037:9
<br />1222.•7
<br />76
<br />4476,5
<br />1541:4
<br />83
<br />5069.2
<br />1920:5
<br />110
<br />3950.2
<br />1229.7
<br />10
<br />4489.9
<br />1549.7
<br />10
<br />5054.0
<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 />45M9
<br />1566.3
<br />30
<br />51.13.9
<br />1950.3
<br />.r 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 />4514;0
<br />1533.1
<br />50
<br />..5143:9
<br />1970.3
<br />70 '' -
<br />4011.9
<br />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 />403678
<br />1279.3
<br />20
<br />4584.8
<br />1608.6
<br />'20
<br />.5189.3
<br />2000.6
<br />30 ..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 />'740
<br />5210.7
<br />2021.1
<br />50
<br />4074.4
<br />1300.9
<br />50
<br />4626.0
<br />1634.4
<br />':x50
<br />5234.;9
<br />2031,4
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Curve 5°
<br />10° 150
<br />20°
<br />25° 30° 1.35-
<br />40°
<br />45°
<br />50°
<br />550 60° 65° 70°
<br />Angle
<br />T=.21
<br />..42 ` .63
<br />.84
<br />1.05 1.27. 1.49.
<br />1.71
<br />1.94
<br />2.17
<br />2.38 2.60+ 2,83 .3:07
<br />80°
<br />E=.056-
<br />.112 .168
<br />.225
<br />.283 .340 .398
<br />.457
<br />...516...575
<br />,.636 ,697 ,774 ,851
<br />T=.23
<br />.46'. .69
<br />.93-
<br />l6 1.40. 1.64
<br />1.88
<br />2.18
<br />2.38'
<br />2.63 2.88 3.13 3.39
<br />65°.
<br />E=.067
<br />• .135 .•.204::273
<br />.,343 .412 .,483
<br />.554
<br />..625
<br />•.697
<br />.711 .845 .922 1.01
<br />700
<br />T=,.25
<br />.51 .76
<br />1.02
<br />1.28. 1.54 1:80`-
<br />2.06
<br />2133
<br />2.60.
<br />2.88 3:18 , 3.44 3.72
<br />E=:080
<br />.159 .240
<br />.321
<br />•:403 -.485 ' .568
<br />_657
<br />.735
<br />.819
<br />• .906 .994 1.08 .1.17.-
<br />.17_750
<br />75o
<br />.•T=.27
<br />.56; .83
<br />':286
<br />1.1'l
<br />1.40. 1:69 1.98
<br />2.27
<br />2.57'.
<br />2.87,
<br />3.16 3:47 3.78 4.09
<br />E=.095
<br />182
<br />.383
<br />:480 .578 .678
<br />..777
<br />.877
<br />.077
<br />1.07 1:18 1.29 1.39_
<br />80o
<br />T=.30 . '
<br />..61 ' .91
<br />1.22 '
<br />1.53 1.84 2.15 -
<br />2.46
<br />2T8.
<br />3.10 •
<br />3.44 3.78,_4.12 4.46
<br />E=.110 '
<br />..220 3332
<br />..445
<br />_.558 ..671 ..787
<br />.903
<br />1.02
<br />1.13 :
<br />1.25 1.38' 1.50„ 1.62
<br />85°
<br />T=.33
<br />.66 1.00,
<br />1:33
<br />1.68 2.02 2.36
<br />2.70'
<br />3.05:13.40
<br />3.77 4:14' 4.55 4.89
<br />E =.128
<br />.259 .39I
<br />•.524
<br />.657 .790 .920
<br />1:06
<br />1.201
<br />1.34
<br />1.47 '1:62 -1.78 1:91
<br />
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