|
IV TABLE 1. - Tangents .and Externals to a 1° Curve.
<br />Cbord=100 It.
<br />Int.
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />Erteraa l
<br />AVle
<br />Tangent
<br />External
<br />4$"
<br />2257.0
<br />428.5
<br />59e
<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 />p05.3
<br />.80
<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 />60,
<br />2722.7'
<br />614,0
<br />50
<br />3165.1
<br />816.1
<br />.68
<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 />I0
<br />3186.9
<br />'626.7
<br />20
<br />2334.3
<br />457.3
<br />20
<br />2753.4
<br />627.2
<br />20
<br />3197.8
<br />832.U-
<br />80
<br />2344.1
<br />46110
<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 />640.7
<br />50
<br />3230.7
<br />548:1
<br />4S
<br />2373.3
<br />472.1,
<br />52
<br />2794.5
<br />64.5.2
<br />39
<br />3241.7
<br />853.5
<br />10 -.
<br />2383.1
<br />475.8
<br />10
<br />2304.9
<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 />3374.8
<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 />575.3
<br />50
<br />2422.3
<br />491.0
<br />50
<br />2846.3
<br />G68.0
<br />50
<br />3296.9
<br />S80,8
<br />46
<br />2432.1
<br />494.8
<br />1 53
<br />2856.7
<br />G72.7
<br />60
<br />3308.0
<br />880.4
<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 />2451.6
<br />502.5
<br />20
<br />2S77,5
<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 />003.2
<br />40
<br />2471.5
<br />510.3
<br />46
<br />2898.4
<br />691.4
<br />40
<br />3352.6
<br />008.8
<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 />2401.3:
<br />518.2
<br />54
<br />2919.4
<br />700.9'
<br />61
<br />3375.0
<br />920.2
<br />10
<br />2501,2
<br />322.2-
<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 />60
<br />2541.0
<br />53S.2
<br />50
<br />2972.1
<br />725.0
<br />50
<br />3431.4
<br />948.9
<br />d8
<br />2551.0
<br />542.2
<br />55
<br />2982.7
<br />729.9
<br />62 -
<br />3442.7
<br />954.3
<br />10
<br />2561.0
<br />541.3
<br />10
<br />2993.3
<br />734.8
<br />.10
<br />8454.1
<br />060.6
<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 />' 80
<br />2581.0
<br />554.5
<br />30
<br />3014.5
<br />744.G
<br />.30
<br />3476.8
<br />972.4
<br />40
<br />2691.0
<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 />981.3
<br />d8
<br />26,1'1.2
<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 />3522.0
<br />996.2
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3067.9
<br />7619,7
<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 />20
<br />3545.6
<br />1008.3
<br />40
<br />2651.5
<br />553.8
<br />.40
<br />3089.4
<br />'. 779.8
<br />. 40
<br />3557.2_
<br />'1014.4
<br />50
<br />2661.6
<br />583. ID
<br />50
<br />.3100.2
<br />784.9
<br />50
<br />3563:7
<br />1U20.5
<br />Corrections to be Added (T=Tangent. E=External.)
<br />A�ngla
<br />Curve 5, to-
<br />15,
<br />20,
<br />25,
<br />30,
<br />35e
<br />40,
<br />45,
<br />5D,
<br />55e 60e 65e
<br />70,
<br />40,
<br />T=.13 .26
<br />•.40
<br />.53
<br />.67
<br />.80
<br />.93
<br />.106
<br />1.20
<br />1.34
<br />1.49 1.64 1.79
<br />1.94
<br />10'
<br />E =.023 ' .046
<br />X70
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />.277 -.290 .315
<br />.341
<br />30
<br />Tm.15- .30
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.00
<br />1.21
<br />1.37
<br />1.52
<br />1.70 1.87 2.01
<br />2.21
<br />40
<br />E =.030 .060
<br />.093
<br />:119
<br />.153
<br />.184
<br />.210
<br />.254
<br />.269
<br />.325
<br />•851 .378 All
<br />.446
<br />50
<br />T=.17 - .34
<br />.51
<br />.68
<br />.85
<br />1.02
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1.91 2.10 2.29
<br />2.48
<br />10
<br />E -,w7 .075
<br />.118
<br />.151
<br />.189
<br />..227
<br />.268
<br />.305
<br />.345
<br />.384
<br />.425 .467 .508
<br />.550
<br />_5e
<br />T-,10 38
<br />.57.75
<br />20
<br />.95
<br />1.14.
<br />1.32
<br />1.52
<br />1.72
<br />1.92
<br />2.14 2.35 2.53
<br />2.77
<br />30
<br />E-.040 093
<br />.142
<br />.188
<br />.236
<br />.283
<br />.332
<br />3.81
<br />A_
<br />.479
<br />.530 .582 .641
<br />.700
<br />69,
<br />T-.21 .42
<br />.63
<br />.84
<br />11.05
<br />1.27
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />12.38- 2.80 12M
<br />3.07
<br />73
<br />E x.056 .112
<br />.168
<br />.225
<br />.283
<br />340
<br />,398
<br />.457
<br />.516
<br />.575
<br />.636 .697 .774
<br />.851
<br />65o
<br />T® 2S .46
<br />$9
<br />93
<br />1.18
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63 2.88 3.13
<br />3.89
<br />.30
<br />T -.067 .135
<br />204
<br />273
<br />343
<br />.412
<br />.483
<br />.554
<br />.625
<br />.697
<br />.711 .845 .922
<br />1.01
<br />T"LE L - Tangents and Extemals to a V Curve. Q
<br />Chord=100 ft.
<br />IntTangent
<br />Angle
<br />L0,
<br />External
<br />Int.
<br />Angle
<br />Tan font
<br />C
<br />External
<br />Int.
<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 />4839.8
<br />1543.0
<br />3591.9
<br />1032:8
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<br />4653.6
<br />1551.7
<br />20
<br />3603.5
<br />1039.0
<br />20
<br />4112.1
<br />1322.0
<br />20
<br />4667.4
<br />1560.3
<br />30
<br />3815.1
<br />1045.2
<br />30
<br />4124,3
<br />1330.3
<br />30
<br />403t. 3
<br />1569.2
<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 />60
<br />3638.5
<br />3057.7
<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.S
<br />1352.6
<br />19
<br />4723.2
<br />1695.8 .
<br />10
<br />3661.9
<br />1070.2
<br />IO
<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 />BO
<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 />60
<br />3709.0
<br />1095.7
<br />50
<br />4226.8
<br />1390.4
<br />50
<br />4793.G
<br />1740.8
<br />66
<br />3720.9
<br />1102.2
<br />73
<br />4239.7
<br />1393.0
<br />60
<br />4807.7
<br />1749.9
<br />10
<br />3732.7
<br />1108.610
<br />3.78
<br />42,52. 6.
<br />1405.7
<br />10
<br />4822.0
<br />1759.0
<br />20
<br />3744.6
<br />1115.1
<br />120
<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 />56
<br />3780.4
<br />1134.8
<br />50
<br />4304.6
<br />1436.8
<br />50
<br />4879.2
<br />1796.0
<br />87
<br />3792,4
<br />1141,4
<br />74
<br />4317.6
<br />1444.6
<br />81 ,
<br />4693.6
<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 />1.160.4
<br />20
<br />4922.5
<br />1 824. 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 />1859-6
<br />68 -
<br />3864.7
<br />1181.6
<br />7%
<br />4396.5
<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 />80
<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 />I 50
<br />,5054.3
<br />1910.7
<br />69
<br />3937.9
<br />1222.7
<br />79
<br />4476.5
<br />1541.4
<br />83
<br />5069.2
<br />1920.5
<br />10
<br />3950.2
<br />1229.7
<br />10
<br />4489.9
<br />1549,7
<br />10
<br />5084.0
<br />1030.4
<br />20
<br />3962.5
<br />1236.7
<br />120
<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 />30
<br />5113.9
<br />1950.8
<br />40.
<br />3987.2
<br />1230.8
<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 />5143.0
<br />1970.3
<br />70
<br />4011,9
<br />1265.0'
<br />77
<br />4557.6
<br />1501.6
<br />84
<br />5159.0
<br />1930.$.
<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 />1606.6
<br />20
<br />5189:3'12000
<br />189.3.
<br />2000.6
<br />30
<br />4049.3
<br />1286,5
<br />30
<br />4598.5
<br />1617.1
<br />30
<br />52G4 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 />1 2021.1
<br />50
<br />4074.4
<br />1300.9
<br />50
<br />46.26.0
<br />-1634.4
<br />50
<br />5.231
<br />2031.4
<br />Corrections to be Added (T=Tangent, E=External.)
<br />Int', Curve 5e
<br />L0,
<br />15,
<br />20,
<br />25,
<br />3D, 35e
<br />40e
<br />45, 1 50,
<br />55e 1
<br />60•
<br />450
<br />-760
<br />Angle
<br />T=:21
<br />.42
<br />.63
<br />.84
<br />1.05
<br />1.27 1.49
<br />1.71
<br />1.94 2.17
<br />2.38
<br />2.60
<br />2.83
<br />3.07
<br />E=.050
<br />.112
<br />.168
<br />.225
<br />.283
<br />.340 .398
<br />.457
<br />.516 .575
<br />.636
<br />.697
<br />.774
<br />.851
<br />T=,23
<br />.46
<br />.69
<br />.93
<br />1.16
<br />1.40 1.64
<br />1.S3
<br />2.13 2.38
<br />2.53
<br />2.88
<br />3.13
<br />3.30
<br />e
<br />65 E =.067
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412 .483
<br />.554
<br />.625 .697
<br />.711
<br />.843
<br />.922
<br />1.01
<br />7�,� 9F= 2-5
<br />.51
<br />.76
<br />1.62
<br />1.28
<br />1.54 1.80
<br />2,06
<br />2.33 2.60
<br />2.88
<br />3.16
<br />3.44
<br />3.72
<br />E=.1180
<br />.159
<br />.240
<br />.321
<br />.403
<br />.485 .568
<br />.652
<br />..M .819
<br />.906
<br />.9041.08
<br />1.17
<br />1,480 .40
<br />1.66- 1.
<br />1.578
<br />2.777 .27
<br />2.877 .57 2.87
<br />75, E=,095
<br />.182
<br />.256.1.383
<br />977
<br />IX
<br />1.16
<br />1.29
<br />1.39
<br />T=,30
<br />61
<br />.61
<br />1.22
<br />1.53
<br />1.64 2.15
<br />2.45
<br />2.79 3.10
<br />3.44
<br />3.78
<br />4.12
<br />4.40
<br />S0, L; =.110
<br />.280
<br />.332
<br />.44b
<br />.558
<br />.571 .787
<br />.643
<br />1.02 1.13
<br />1.25
<br />1.33
<br />1.50
<br />1.62
<br />�e T=.33
<br />.66
<br />1.00
<br />1.33
<br />1.68
<br />2.02 2.36
<br />2.70
<br />3.05 3.40
<br />3.77
<br />4.14
<br />4.55 _
<br />4.89
<br />h J28
<br />.259
<br />.391
<br />.524
<br />.657
<br />.790 .926
<br />MA
<br />1.20 1.34
<br />1.47
<br />1.62
<br />1.76
<br />1.91
<br />
|