|
TV TA13LE I. - Tangents and Externals to a 1° Curve.
<br />Chord ,=100 ft.
<br />Ink
<br />-Angle
<br />Tangent'External
<br />I
<br />Angie
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />43°
<br />2257.0
<br />428.5
<br />505
<br />2671.8
<br />592.3
<br />1 57-
<br />3110.0
<br />790.1
<br />10'
<br />2266;6
<br />432.0
<br />100
<br />2681.9
<br />596.6
<br />i. 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 />2235.9
<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 />440.1
<br />50
<br />s
<br />2722.7
<br />614.0
<br />50-
<br />3165.1
<br />316.1
<br />4;
<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 />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.S
<br />464,6
<br />40
<br />2773.'0
<br />636.2
<br />40
<br />3219.7
<br />842.7
<br />..50
<br />2363:5
<br />46S.4
<br />.50
<br />2784,2
<br />640.7
<br />50
<br />r
<br />330.7-
<br />648.1
<br />45
<br />2373.3
<br />472.1
<br />52 , '
<br />.
<br />2794.5
<br />645.2
<br />.
<br />59
<br />3241.7
<br />8.53.5
<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 />SM .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 />G63.4
<br />40
<br />3285.8
<br />575.3
<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 />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 />103319.1
<br />4908.0.
<br />892.0
<br />20
<br />2451..8
<br />, 503.5
<br />20
<br />2877.5
<br />682.0
<br />20 -
<br />-3330.3
<br />S97,5
<br />80
<br />2461.7.
<br />506.4
<br />$0
<br />2883.0
<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 />2905.9
<br />696.1
<br />50
<br />3363.8
<br />914.5
<br />47
<br />2191.3
<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 />•522.2
<br />10
<br />2029.9
<br />705.7
<br />10
<br />3386.3
<br />925.9
<br />20
<br />257.1.2
<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 />2952.7
<br />729.9
<br />62
<br />3442.7
<br />954.8
<br />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 />966.5
<br />- 30
<br />2581.0
<br />554.5
<br />30
<br />3014.5
<br />744.6
<br />30
<br />-40
<br />3476.8
<br />972A
<br />40 -
<br />2591.0
<br />5.58.6
<br />- 40
<br />3025.2
<br />749.6
<br />40
<br />3488.3
<br />973.3
<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 />35k1'l
<br />990,2
<br />- I0
<br />2621.2
<br />571.1
<br />10
<br />3057.2
<br />764,G
<br />10
<br />3522.6
<br />996.'
<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 />307S.7
<br />774.7
<br />30
<br />3545.6
<br />100S.3
<br />.40
<br />265115
<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 />58S.0
<br />50
<br />3100.2
<br />734.9
<br />50
<br />3568:7
<br />1020.5
<br />Corrections to be Added (T -Tangent. E=External:)
<br />Anglia
<br />0,b-Ve S° 10° 15° 1
<br />20°
<br />25° 30° 35°
<br />40°
<br />45°
<br />50° 55°
<br />60°
<br />65° 700
<br />64°••
<br />T=.13 .26 .40
<br />.53
<br />67 ,.80 .93
<br />.106
<br />1.20 '
<br />1.34 1.49
<br />1.84
<br />1.70 1.99
<br />Air3•;=.023.
<br />.046 .070
<br />:093
<br />.117 .141 '..172
<br />.203
<br />.234
<br />.265 .277
<br />290
<br />.315 341
<br />45°
<br />T=.15 .30 .94
<br />66
<br />.76 .91 1.06
<br />131
<br />1.37
<br />1.52 1.70
<br />1.87
<br />2.21
<br />30
<br />E=.020 .050 .093
<br />7.119
<br />.153 .134 .216
<br />.254
<br />.289
<br />.325 :351
<br />.378
<br />•44•'1
<br />P2.29
<br />40'
<br />''T=.li 34 .51
<br />.68
<br />85 • 1.02 ` 1:19
<br />1.3fi
<br />1.54
<br />1.72 1.91
<br />2.10
<br />2.48
<br />50°
<br />E =.037 .075 .116
<br />.153
<br />.189 .227 .266
<br />.305
<br />.345
<br />.394 '.425
<br />.467
<br />•550
<br />°
<br />T=19 .38 .57.76
<br />1063.9
<br />.95 1.14 1.32
<br />1.52
<br />1.72
<br />1.92 2.14
<br />2,35
<br />2.56 2.77
<br />10
<br />E=.046 .093 .142
<br />.I88
<br />.236 .283 .332
<br />3.81
<br />.420
<br />.474 .530
<br />.582
<br />.011 .700
<br />20
<br />T=.2i 42 .63
<br />84
<br />1.05 127 1.49
<br />1.71
<br />1.9hH2:12.38
<br />2D
<br />2.60
<br />2.83 3.07
<br />60°
<br />E=.056 .112 .168
<br />.225
<br />.283 .340 .398,
<br />.457
<br />.51
<br />.636
<br />.097
<br />.774 851
<br />40
<br />im.23 69
<br />93
<br />1.16 1.40 1.64
<br />1.58
<br />2.132.03.
<br />40
<br />2 88
<br />3.1365
<br />o
<br />.46
<br />Em 067 .135 204
<br />273
<br />.843 .412 .463
<br />.554
<br />.62
<br />.711
<br />.845
<br />.922 1.01
<br />TABLE I - Tangents and Externals to a 1° Curve.
<br />Chord=100 ft. _
<br />Int•
<br />Angle
<br />'Tangent
<br />External
<br />Ynt.
<br />Angle
<br />Tangent
<br />External
<br />Int'
<br />Angle
<br />Tangent
<br />g
<br />Fxternal
<br />64°••
<br />3580.3
<br />102G.6
<br />71°
<br />4086.9•
<br />1308.2
<br />79°
<br />4639.8
<br />1643.0
<br />10'
<br />3591.9,.
<br />1032.8
<br />10'
<br />4099.5
<br />-130,13
<br />10'
<br />4653.6
<br />1651.7
<br />20
<br />3G03.5
<br />'.1039.0
<br />-20
<br />4112.1
<br />1322.9
<br />1.27
<br />4G67.4
<br />1660.5
<br />30
<br />'3615.t
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />.20
<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 />16SG.9
<br />66
<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 />3061.9
<br />1070.2
<br />10
<br />4175.0
<br />1360.1
<br />-10
<br />-4737.2
<br />1704.7
<br />20
<br />3673.7
<br />1076.6
<br />20'
<br />4133.5
<br />1307.0
<br />2D
<br />47.51.2
<br />1713.7
<br />30
<br />3685.4
<br />1082.9
<br />30
<br />4201.2
<br />1375.2
<br />30
<br />9765.3
<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 />17.31.7
<br />50
<br />3709.0
<br />1095.7
<br />50
<br />4226.8
<br />1390.4
<br />60
<br />4793.6
<br />1740.S
<br />GG
<br />3720.9
<br />1.103.2
<br />73
<br />4239.7'
<br />1395:0
<br />80
<br />4807.7
<br />1749:9
<br />10
<br />3732.7
<br />1.108.6
<br />10
<br />4252.6
<br />14.05.7
<br />- 10
<br />4822.0
<br />1759.0
<br />20
<br />.3744.6
<br />11.15.1
<br />20
<br />4 265. 6
<br />1413.5
<br />20
<br />4834,2
<br />1768.2
<br />30
<br />3756.5
<br />1121.7
<br />30
<br />4275.5
<br />1421.2
<br />30
<br />4850,5
<br />1777.4
<br />40
<br />3768.5
<br />11.28.2
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />4864.8
<br />1786.7
<br />50
<br />3780,4
<br />113.8
<br />60
<br />4.304.6
<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 />144=1:.6
<br />S1
<br />4593.6
<br />1805.3
<br />10
<br />,3804.4
<br />1148.0
<br />10
<br />4330.7
<br />14"2.5
<br />10
<br />4908.0.
<br />1814.7
<br />20
<br />3816.4
<br />1154.7.
<br />2U
<br />4343-8
<br />1460.4
<br />20
<br />4922.5
<br />1824.1
<br />30
<br />2S2S.4
<br />1161.3
<br />30
<br />43556.9
<br />1-IG8.4
<br />30
<br />4937.0
<br />1833.G
<br />40
<br />3840:5
<br />1168.1
<br />40
<br />4370.1
<br />14761.4
<br />,40
<br />4951,5
<br />1843.1
<br />50
<br />3552.6
<br />1174.8
<br />50
<br />4353.3
<br />1484.4
<br />50
<br />4966.1
<br />1852.6
<br />GS
<br />3861.7
<br />1181.6
<br />75
<br />4390.5
<br />1.392.4
<br />E3 -
<br />4980.7
<br />IS62.2
<br />10
<br />3876.8
<br />1158.4
<br />10
<br />4409.8
<br />1500.5
<br />10
<br />4995.4
<br />1571.8
<br />20
<br />3889.0
<br />1195.2
<br />20
<br />4423.1
<br />1508.0
<br />20.
<br />5010.0
<br />iSS1.5
<br />30
<br />3901.2
<br />1202.0
<br />30
<br />4436.4
<br />1516.7
<br />30
<br />.5024.8
<br />1591.2
<br />40
<br />3913.4
<br />1208.9
<br />.40
<br />4449.7
<br />1524.9
<br />41)
<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 />3937.9
<br />1222.7
<br />70
<br />4476.5
<br />154I.4
<br />S-3
<br />5069.2
<br />1920.5-
<br />10
<br />'3950:2
<br />1229.7
<br />10
<br />4439.9
<br />1549,7
<br />10
<br />5051,0
<br />1930.4
<br />20
<br />3962.5
<br />1230.7
<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 />30
<br />511.3.9
<br />1950.3
<br />40
<br />3987.2
<br />1250.8
<br />40
<br />4x30,4
<br />1..574.7
<br />40
<br />5138.9
<br />1:)60.2
<br />50
<br />3999.5
<br />1257.9
<br />50
<br />4544.0
<br />1563.1
<br />50
<br />5143.9
<br />1970,3
<br />70
<br />4011.9
<br />12MU
<br />77
<br />4557.6
<br />1591.6
<br />871
<br />5159.0
<br />1980.4
<br />10
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />1,600.1
<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 />2000.0
<br />30
<br />4049,3
<br />1836.5
<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 />10,25.7
<br />40
<br />5219.7
<br />2021.1
<br />50
<br />•407.1.4
<br />1300.9
<br />50
<br />4626.0
<br />163 4. 4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T =Tangent. E =External.)
<br />tingle Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />3D'
<br />35°
<br />40°
<br />45°
<br />SU°
<br />5s°
<br />60°H65-70°
<br />T=.21
<br />.42
<br />.63
<br />.84
<br />1.65
<br />1.27
<br />1.40
<br />1.71
<br />1,94
<br />2.17
<br />2.36
<br />2.60
<br />3.07E=.050"
<br />.112
<br />.168
<br />.225
<br />.233.340
<br />.348
<br />.457
<br />.516
<br />.575
<br />.G3G
<br />.597
<br />,851
<br />d5° T=-23
<br />.4G
<br />.69
<br />.93
<br />1.16
<br />1-44
<br />1.54
<br />1 SB
<br />22.13
<br />2.38
<br />2.63
<br />2.88
<br />3,13
<br />3.39
<br />E=,067
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />.463
<br />.554
<br />.625
<br />.697
<br />.711
<br />.845
<br />.922
<br />1.01_-
<br />70° T-.25
<br />.51.
<br />.76
<br />1,02
<br />138
<br />1,59
<br />1,80
<br />2,06
<br />2.33
<br />2.60
<br />2,88
<br />3.16
<br />3.44
<br />3.72
<br />E=.080
<br />.159
<br />'240
<br />.321
<br />,403
<br />.485
<br />,568
<br />.632
<br />.735
<br />.819
<br />.906
<br />.994
<br />1.03
<br />1:17
<br />7c° T=.27.56
<br />.83
<br />I.12
<br />L40
<br />.
<br />L98
<br />227
<br />2,:57
<br />2.87
<br />3.16
<br />3.47
<br />3.78
<br />1.1,09
<br />E=.095
<br />,182
<br />.286
<br />,383
<br />.480
<br />.578
<br />.678
<br />.777
<br />,874
<br />.977
<br />1.07
<br />1.18
<br />1.29
<br />11.39
<br />50° T=,30
<br />61
<br />.91
<br />1.22
<br />1.53
<br />1.84
<br />2.15
<br />2.46
<br />2.r"8 .3.10
<br />3.44
<br />3.78
<br />4.12
<br />4.46
<br />E=.110
<br />.220
<br />.332
<br />.445
<br />.538
<br />.111
<br />.787
<br />.993
<br />1.02 1.13
<br />1.38
<br />1.50
<br />1.62
<br />85° T=.33
<br />-.66
<br />1.00
<br />1.33
<br />1.68
<br />2.03
<br />2-30
<br />2.70
<br />3.05
<br />3.40
<br />L-25
<br />7
<br />4.14
<br />4,55
<br />4.89E=.128
<br />,259
<br />.891
<br />.524
<br />AN
<br />.700
<br />.9261.06
<br />1.20
<br />1.34
<br />7
<br />1.62
<br />.'0
<br />1.91
<br />%J
<br />
|