|
'Iv TABLE I. ;- Tangents and Externals, to a 10.Curve.
<br />Chord= 100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle •
<br />Tangent
<br />External
<br />Int
<br />Angle
<br />Tangent
<br />External
<br />43°
<br />2257.0
<br />428.5
<br />50°'
<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 />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 />2353.8
<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 />.750
<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 />"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 />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 />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 />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 />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 />3067.9
<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 />779.8
<br />403557.2
<br />5219.7
<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 />Corrections to be Added (T= Tangent: E = External.)
<br />-Int.
<br />Angle
<br />Curve 50
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />-45°
<br />50°
<br />55°
<br />60°., 1
<br />65°
<br />70°
<br />{po
<br />T=.13
<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 />.341
<br />45o
<br />T=.15
<br />.30
<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
<br />.060
<br />.093
<br />.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.44E
<br />Soo
<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 />1.91
<br />2.10
<br />2.29
<br />2.48
<br />30,
<br />E=.037
<br />.075
<br />.116
<br />.151
<br />..189
<br />.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />.425
<br />.467
<br />.508
<br />.550
<br />_
<br />550
<br />T=.19
<br />.38
<br />.57
<br />.76
<br />.95
<br />1.14
<br />1.32
<br />1.52
<br />1.72
<br />1.92
<br />2.14
<br />2.35
<br />2.58
<br />2.77
<br />73 -
<br />E=.046
<br />.093
<br />.142
<br />.188
<br />.236
<br />.283
<br />.332
<br />3.81
<br />.420
<br />.479
<br />.530
<br />.582
<br />.641
<br />.700
<br />60o
<br />T=.21
<br />.42
<br />.63
<br />.84
<br />1.05
<br />1.27.
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />2.38
<br />2.60
<br />2.83
<br />3.07
<br />30
<br />4850.5
<br />1777.4
<br />.168
<br />.225
<br />.283
<br />.340
<br />.398
<br />.457
<br />.516
<br />.575
<br />.636
<br />.697
<br />.774
<br />.851
<br />65o
<br />�T=.23
<br />'1436.8
<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 />3804.4
<br />.1148.0
<br />.204
<br />.273
<br />.343 .412
<br />.483
<br />.554
<br />.625
<br />.697
<br />.711
<br />.845 .922 1.01
<br />C
<br />TAsigl = Tangents and Externals t6 a P Curve. .
<br />Chord =100 ft:
<br />Angle .
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />64°'
<br />3580.3
<br />1026.6
<br />71°:
<br />4086.9
<br />1308.2
<br />780
<br />4639.8
<br />1643.0
<br />10'
<br />3591:9,
<br />1032.8
<br />10'-
<br />4099:5
<br />1315.6
<br />1101
<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 />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 />201
<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 />1390,450
<br />4793.6
<br />1740.8
<br />66 •
<br />3720:9
<br />1102:2
<br />73 -
<br />14239.7
<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 />4822.0
<br />1759:0
<br />20
<br />3744.6
<br />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.E
<br />'1436.8
<br />50
<br />4879.2
<br />1796,0
<br />67,5,
<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 />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 />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 />1852.6
<br />68..'
<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
<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 />'W
<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 _..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 />_
<br />40
<br />5128.9
<br />1960.2
<br />50
<br />3999.57
<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 />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. Curve 5° 10° 15° 20° 25° 30° 35° 40° 45° 50° 55-160- 65° 70°
<br />Angle
<br />�o T=.21 .42 .63 .84 1.05 1.27 1.49. 1.71 1.94 2.17 2.38 2.60 2.83 3.07
<br />E =.056 .112 .168 .225 .283 .340 .398 .457 .516 .575 .636 .697 .774 .85:
<br />65° T=.23 . •A6 .69 .93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88 3:92211:30'1
<br />13 3.39
<br />E=.067 .135 .204 .273 .343 .412 .483 .554 .625 .697 .711 .845 .922 1.01
<br />700__ T=.25 x.51 .76 ' 1.02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 3.44 3.72
<br />E=.080- .159 .246 .321 .403 .485 .568 .652 .735 .819 .906 .994 1.08 1.17
<br />75- T=.27 .56 .83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 3.47 3.78 4.09
<br />E =.095 .182 .286 '.383 .480 .578 .678 .777 .877 .977 1.07 1.18 1.29 1.39
<br />80° . T=,30 .61 .91 1.22 1.53 1.84 2.15 2:00311'
<br />46 2.78 3.10 3.44 3.78 4.12 4.46
<br />E =.110 .220 .332 .445 .558 .671 .787 .903 1.02 1.13 1.25 1.38 1.50 1.62
<br />85o T=.33 66 1.00 1.33 1.68 2.02 2.36 2.70 3.05 3.40 3.77 4.14 4.55 4:89
<br />E=.128 .259 .391 .524 .657 „79 .92 lA8 11.20 1.34 1.47 1.62 1.76 1.91
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