|
TABLE I.,- Tangents and Externals to, a 1°. Curve.
<br />Chord =100 ft.
<br />Angle
<br />TangenExternal
<br />25° 30° 35° 400 450 500 550 600
<br />Angie .
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />43°
<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 />600.9f
<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 />2295.61
<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 />1.10
<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 />4765.3
<br />837.3
<br />40
<br />2353.8
<br />464.6
<br />40
<br />2773,9
<br />636.2
<br />'40
<br />,3208.8
<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 />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 />,
<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 />&8
<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 />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 />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 />12951.0
<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 />30
<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 />4$_.
<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 />Y002.3
<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 />orrections to be Added (T =Tangent, ' El= External.)',,
<br />AInt . Curve 5°
<br />male .
<br />104 15° 20°
<br />25° 30° 35° 400 450 500 550 600
<br />650 700
<br />400
<br />T=13,
<br />'.26 . .40 .53
<br />.67 .80 .93 .106 1.20 1.34 , 1.49 1.64
<br />1.79 1.94
<br />64°
<br />E=.023
<br />.046 .070 .093
<br />.117 .141 .172 .203 .234 .265 .277 .290
<br />.315 .341
<br />450
<br />T=.15
<br />.30 .44 .60
<br />.76 ..91 L06 1.21 1.37 1.52.1.70 1.87
<br />2.04 2.21
<br />3591.9
<br />E=.030
<br />..060 .093 .119
<br />.153 .184 .216 .254 .289 .325 .351 .378
<br />.411 A*
<br />50°
<br />T=.17
<br />.34 .51 .68
<br />.85 -102 1.19 136 1.54 1.72 1.91 2.10
<br />2.29 2.48
<br />'1039.0
<br />E=.037
<br />.075 .116 .151
<br />.189 .227 .266 .305 .345 ..384 .425 ..467
<br />.508 .550
<br />r,5o
<br />T=,19
<br />.38 .57 .78 T
<br />.95 1.14 152 1.52 1.72 1.92 2.14 2.35
<br />2.56 2.77
<br />30:
<br />E=.046
<br />.093 .142 .188
<br />.236 .283 .332 3.81 .420 .479 .530 :582
<br />.641 .700
<br />60o
<br />T=,21
<br />.42 .63 84
<br />1.05 1.27 1.49 1.71 1.94 2.17 2.38 2.60
<br />1283 3.07
<br />',4137:4,
<br />E=.056
<br />.112 .168 225
<br />.283 .340 .398 .457 .516 .575 .636 .697
<br />.774 .851
<br />-6ro
<br />T=,23
<br />.46 69 93
<br />1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88
<br />3.13 3.39
<br />,1345.1
<br />E=,087
<br />.135 204 273
<br />38 .412 .483 .554 .625 .697 .711 .845
<br />.922 1.01
<br />' 1
<br />TAsr m.L - Tangents and Externals to a 1' Curve.:
<br />Chord= 100 ft: t
<br />'Angle -
<br />Tangent
<br />External
<br />Angle I
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />64°
<br />3580.3
<br />'1026.6
<br />710
<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 />101•
<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 />X40
<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 />19
<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 />4226.8.
<br />c
<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 />._
<br />10
<br />'4252.6
<br />,1405.7
<br />;10
<br />4822.0
<br />'1759.0
<br />20
<br />3744.6
<br />1 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 />30
<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,.4356:9
<br />1.20
<br />1468.4
<br />1.47
<br />4937.0
<br />1833.6
<br />40
<br />3840.5
<br />1168.1
<br />40
<br />4370.1
<br />1476.4
<br />.30
<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 />08 '.
<br />3864.7
<br />1181.6
<br />75.,
<br />4396.5
<br />3492.4.
<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 />z 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 />3937.9
<br />1222.7.
<br />76 -
<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 />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 />5128:9
<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
<br />1265.0 '
<br />- 77
<br />4557.6,
<br />1591.6
<br />94-
<br />5159.0
<br />:1980.4
<br />10:
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />10
<br />5174.1
<br />'1990.5
<br />20
<br />4036.8
<br />1279.3
<br />20
<br />•4584.8
<br />,1600.1
<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 />4634.4
<br />,:50•
<br />5234.9,
<br />2031.4
<br />Corrections to be Added (T =Tangent. E = External.)
<br />Int
<br />Curve 5°
<br />10°
<br />15°
<br />206
<br />25°
<br />1 30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60.0
<br />65°
<br />70°
<br />Angle
<br />1.94
<br />1.457
<br />1.516
<br />.17
<br />2.575
<br />.60
<br />2,774 .83
<br />60o
<br />E .056
<br />112
<br />168
<br />, 225
<br />.283
<br />1.340 1.398
<br />1382.697
<br />? 636
<br />3 851
<br />1 .16
<br />1.40
<br />.64
<br />1.
<br />1 .88
<br />2.625
<br />.38
<br />-38
<br />.63
<br />2.845 .88
<br />3.922
<br />W,
<br />E =.067
<br />135
<br />.204
<br />.273
<br />343
<br />42
<br />83
<br />554
<br />.13
<br />?.697
<br />?.711
<br />1.01
<br />70°
<br />1.321 .02
<br />1.403 .28
<br />1.85 .54
<br />80
<br />1
<br />2.652 .06
<br />2.735 .33
<br />2.819
<br />88
<br />?
<br />.16
<br />3.994
<br />T44
<br />3.72
<br />E= 080
<br />.159
<br />.240
<br />568
<br />906
<br />1 O8.
<br />1.17
<br />56
<br />.83
<br />1.383 12
<br />1.480 .40
<br />1 .69
<br />1.678
<br />2.777 .27
<br />2 .57
<br />2
<br />71
<br />1101
<br />750,
<br />E =.095
<br />1827
<br />2
<br />286
<br />578
<br />877
<br />977
<br />1.07
<br />1 18
<br />1 29
<br />139
<br />61
<br />- .91
<br />1.22
<br />1 .53
<br />1071 .84
<br />2.787 .15
<br />2.903
<br />3 25 '1.38
<br />E= 110
<br />.220
<br />.332
<br />445
<br />558
<br />1.02
<br />1.13
<br />1.10
<br />150
<br />1.62
<br />&So
<br />T=.33
<br />66
<br />1.00
<br />1.33
<br />1.68
<br />2.02
<br />2.38.
<br />2.70
<br />3.05
<br />3.40
<br />3.77:
<br />4.14
<br />4.55
<br />4.89
<br />E=:128
<br />259
<br />391
<br />.524 .657
<br />,.79
<br />.92
<br />106
<br />1.20
<br />1.34
<br />1.47
<br />1.62
<br />1.76
<br />1.91
<br />
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