|
TABLE' Tangents and Externals to a 1° Curve,
<br />Chord =100 ft.
<br />Angle
<br />Tangent
<br />External
<br />gje
<br />Tangent
<br />External
<br />p ns Bl
<br />Tangent
<br />External
<br />644
<br />IV
<br />TAB(
<br />R I. - Tangents
<br />and -Externals to a 1°.Curv-e.'
<br />1308.2
<br />78°
<br />4WD.8
<br />i
<br />10",:3591.
<br />Chord
<br />=100 ft.
<br />10'
<br />4099.5
<br />1315.6
<br />h lntInt.
<br />I Angle
<br />Tangent
<br />Eatemal
<br />angle
<br />Tangent External
<br />Int.
<br />' Angle '
<br />Tangent
<br />External
<br />2257.0
<br />428.5.
<br />50°
<br />2671.8
<br />592:3
<br />67°
<br />3110.9
<br />790.1
<br />4124.8
<br />43°
<br />30
<br />ID'
<br />2266:6
<br />432.0
<br />10'
<br />2681.9
<br />596,6
<br />IV
<br />3121.7
<br />795.2
<br />4695.2
<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 />1G86.9
<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 />10
<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 />3673,7
<br />6! 50
<br />_2305.2
<br />440.4,
<br />50.
<br />2722.7
<br />614.0
<br />i5o
<br />3165.1•
<br />816.1
<br />1082.9
<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 />40
<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 />.4226.8
<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 />1398.0
<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 />10
<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 />4336.2
<br />b0
<br />2363.5
<br />469.4
<br />.50
<br />2784:2
<br />640.7
<br />,.50
<br />3230,7
<br />848.1
<br />1777,4
<br />45
<br />2373.3
<br />472.1
<br />52
<br />2794:5
<br />645.2
<br />.59
<br />3241.7
<br />852.5
<br />50'
<br />10
<br />2383. 1,
<br />475.8
<br />10
<br />2804.9
<br />649.7
<br />110
<br />13252,7
<br />858.9
<br />3792.4
<br />20
<br />2392.8
<br />470.6
<br />20
<br />2815.2
<br />654.3
<br />20
<br />3263,7
<br />864.3
<br />`1
<br />30
<br />2402:6
<br />-483.4
<br />10
<br />2825.6
<br />658.8 .
<br />•30;,,
<br />•3274.8
<br />869.8
<br />20
<br />40
<br />2412.4
<br />487.2
<br />130
<br />2835.9
<br />663.4
<br />40 "
<br />.3285.8
<br />875.3
<br />4356.9
<br />50
<br />2422.3
<br />491.0.
<br />140
<br />50
<br />2846.3
<br />668.0
<br />50'
<br />3296.9
<br />380.8
<br />1476.4
<br />4a..,
<br />2432.1
<br />494.8
<br />63
<br />2856.7
<br />672.7
<br />60 -
<br />3303.0'
<br />886.4
<br />-50
<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 />4980.7
<br />I
<br />pl 20
<br />2451.S
<br />502.5
<br />20
<br />2877.5
<br />'682.0
<br />20
<br />3330.3
<br />897.5
<br />1871,8
<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 />30 '
<br />40
<br />2471.5
<br />510.3
<br />40
<br />2898.4
<br />691.4
<br />40
<br />3352.6;
<br />9019.8
<br />3913.4
<br />t50.-iA4g1-,4
<br />40
<br />514.3
<br />50
<br />2908.9
<br />696.1
<br />50
<br />3363.8.
<br />914.5
<br />1215.8
<br />i 47,
<br />'2491.3
<br />518.2
<br />54•
<br />2919.4
<br />700.9
<br />01
<br />3375.0
<br />920.2
<br />76
<br />W
<br />2301:2'
<br />522.2
<br />'10
<br />2929.9
<br />705.7
<br />�10
<br />3386.3
<br />925,9
<br />4489.9
<br />20
<br />2511.2
<br />520.1
<br />20
<br />2940.4
<br />710,5
<br />20
<br />3397.5
<br />931.6
<br />1558.0
<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 />30
<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 />5128.0
<br />50
<br />- 2541:0
<br />538.2
<br />;50
<br />2972.1
<br />725.0
<br />50
<br />3431.4
<br />946.9
<br />1970,3
<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 />10
<br />2561.0
<br />.546:3
<br />10
<br />2993.3
<br />734.8
<br />10-
<br />3454.1
<br />960.6
<br />4036.8
<br />20
<br />2571.0
<br />550.4
<br />20
<br />3003.9
<br />739.7
<br />"20
<br />3465.4
<br />960.5
<br />1286.5'
<br />30
<br />,2581.0
<br />554.5
<br />30
<br />3014.5
<br />744.6
<br />30
<br />3476.8
<br />972.4
<br />40
<br />40
<br />2591.0
<br />,
<br />558.6
<br />40
<br />3025:2
<br />749.6
<br />40
<br />3488.3
<br />978.3
<br />4626.0
<br />50
<br />2801,1,
<br />562.8
<br />50
<br />3035.8
<br />754.650.
<br />3499.7
<br />984.3
<br />lB
<br />2611.2
<br />566.9
<br />56
<br />3046.8
<br />759,6
<br />633511.1
<br />990.2
<br />10
<br />2621-.2
<br />571,1
<br />10
<br />3057.2
<br />704.6
<br />I0
<br />3522.6
<br />990.2
<br />20
<br />2631.3
<br />575.3-
<br />-20
<br />30G7.9
<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 />770.8
<br />40
<br />3557.2
<br />1014.4
<br />�
<br />60
<br />, 2661.8
<br />588.0
<br />50
<br />3I00.2
<br />784.9
<br />.50.
<br />3568.7
<br />1020.5
<br />Corrections
<br />to be Added
<br />(T = Tangent. E = External.),,
<br />Curve 51
<br />30° 15°. 20° 20
<br />30° 35° 40° 45° 50° 556
<br />60"
<br />65° 70°
<br />Angle
<br />a
<br />T-.13 .26 .40 .53 .67
<br />.60 .93 .106 1.20 1.34 1.49 1.64 1.79 1.91
<br />40
<br />E =.023 ,036 .07p .093 .117
<br />.141 ,172 .203 .234 .205 .277 X90 -.315 .311
<br />T=.15 .30 .44 .60 .78'
<br />.9l 1.06 ].21 1.37 lag 1.10 1.$7 2.04 2.21
<br />45°
<br />E=.030 .060 .093 .119 .153
<br />.184 .216 .254 .289 .325 .351 ,378 °.411 .443
<br />1.227 .02 1.266 -19 1.305 .36 1 .54 1.364 .72 1.425 .91 2.407 x.508 2.580
<br />50°
<br />.35
<br />E=.037+ .075 :110 .191 .180
<br />345
<br />T=.191 .57 .76 .95
<br />1.14 1 32 1.52 1'.12 1.92 2.14 2,35 2.56 2.ii
<br />.55°
<br />.38
<br />E=,040 .093 142 :ISS 235
<br />..283 .332 3.81 .420 .4.79 .530 .182 .841 .7D0
<br />II �T=.21'
<br />1.27 LA9 1.71 1.94 2.17 2.38 2.60 2.63 3.07
<br />60°
<br />.42
<br />E=,056 .112
<br />W273
<br />.340 .398 .457 ,51B .575 .636 .597 '.774 .851
<br />1.40 ].6d 1.6$ 2.13 2.38 2.63' 2,88 3.13 3,39E..-067
<br />T= 23
<br />65*
<br />.46
<br />.135
<br />:412 .493 .554 .825 .697 .711 .845 .922.1-01 ,
<br />TABLE' Tangents and Externals to a 1° Curve,
<br />Chord =100 ft.
<br />Angle
<br />Tangent
<br />External
<br />gje
<br />Tangent
<br />External
<br />p ns Bl
<br />Tangent
<br />External
<br />644
<br />3580:3
<br />1026.6
<br />71°•'
<br />4086.9
<br />1308.2
<br />78°
<br />4WD.8
<br />1643,0
<br />10",:3591.
<br />9
<br />1032.8
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<br />4G53.6
<br />LG51.7
<br />20
<br />-3603.5
<br />1039.020
<br />60 ,93 1:10 140 1.64
<br />4112.1
<br />1322.9
<br />20
<br />4367.4
<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 />13626.8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />1 40
<br />4695.2
<br />1678.1
<br />50
<br />.363S.5
<br />1057.7
<br />50
<br />4150.1
<br />1345.1
<br />50
<br />4709.2
<br />1G86.9
<br />65
<br />3650.2
<br />1063:9
<br />72
<br />4132.8
<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 />,1737,2
<br />1704.7
<br />20
<br />3673,7
<br />107G.6
<br />20
<br />4188.5
<br />1367.0
<br />20
<br />47.51.2
<br />1713.7
<br />30
<br />3685,4
<br />1082.9
<br />30
<br />4f,01.2
<br />1:375.2
<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 />4770.4
<br />1731,7
<br />LO
<br />3709.0
<br />1095.7
<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 />4230.7
<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 />4265.6
<br />1413.5
<br />20
<br />4336.2
<br />1768,2
<br />30'
<br />3756.5
<br />1121.7
<br />30
<br />4278-5
<br />1421.2
<br />30
<br />4650.5
<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 />07
<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 />I0
<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 />1852,8
<br />B8
<br />3864.7
<br />1181.6
<br />75
<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 I.
<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 />39
<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 />-68-'
<br />3937,0
<br />1222.7
<br />76
<br />4470.5
<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 />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 />4516.9
<br />1566.3
<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 />5128.0
<br />1960.2
<br />50
<br />3099.5
<br />1257.9
<br />50
<br />4514.0
<br />1583.1
<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 />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.
<br />.Clrve 5°
<br />10°
<br />IS° 20° 25° 30° 35°
<br />40°
<br />45° Sr
<br />55° 60° bye 70°
<br />_Angle
<br />T=.21
<br />.42
<br />,63 .84 1.05 L27 1.44
<br />1.71
<br />1.94 2.17
<br />2.38 2.60 2.83 8,07
<br />E=.056
<br />.112 .168 225 .283 .340 .398
<br />A57
<br />.516 ,575
<br />.636 ,697 •774 .851
<br />65°
<br />T ='23
<br />.48
<br />60 ,93 1:10 140 1.64
<br />1.88
<br />2.13 2.38
<br />2.63 2.88 3.13 8.39
<br />E =.087.
<br />.135
<br />204 .273 .343 .412 .963
<br />.554
<br />.525 .597
<br />.711 845 .022 1.01
<br />70°
<br />T=.25
<br />51
<br />78 1,02 1.28 1.54 1.80
<br />2.08
<br />2.33 2.80
<br />2.88 9.18 3.44 8.72
<br />E=.080
<br />.159 .240 ,321 .403 .485 .588
<br />.652
<br />.735 .819
<br />.906 .994 1.08 1.17
<br />75° •
<br />T =.27
<br />.56
<br />83 1,1'2 1.40 1.89 1.96
<br />2.27
<br />2.57 2.87
<br />3.18 3.47 3.78 4.09
<br />E =.095
<br />.182
<br />,286 •383 .480 .578 ,678
<br />.777
<br />.677 .977
<br />1.07 1.18 11.29 11.39
<br />HOc=•30
<br />.61
<br />91 1,22 1.53 1.84 2.15
<br />2.46
<br />2.78 3.10
<br />3.44 3.78 4.12 4.48
<br />E =,110
<br />.220
<br />.332 .445 ,558 .671 .787
<br />.903
<br />1.02 1.13
<br />1.25 1.38 1,50 1,62
<br />85°
<br />T=.33 .
<br />86
<br />1.00 1,33 1.68 2.02 2.382.70
<br />3.05 3.40
<br />3.77 4.14 4.55 4.89'
<br />E =,128
<br />.259 .391 .524 .657 .790 .926
<br />1.D8
<br />1.20 1.34
<br />L47 1.62 1.76 1.91
<br />
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