|
IV, TABLE 1. - Tangents and Externals to a 1° Curve.
<br />Chord =100 .f t.
<br />Int.- _
<br />Angle
<br />. -
<br />Tangent
<br />. _ -
<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 />2071.8
<br />592.3
<br />571-3110.9
<br />E =.023
<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 />l0
<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 />2Q',
<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 />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 />-
<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 />1479.6
<br />20
<br />2815.2
<br />654.3
<br />•20'
<br />3263.7
<br />864.3
<br />30
<br />2402.6
<br />483.430
<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 />875.8
<br />T 50
<br />2422.3
<br />491,0
<br />50
<br />2846.3
<br />668.0
<br />4 -50
<br />3296.9
<br />:880.8
<br />46
<br />2432.1
<br />49.1.8
<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 />5Q
<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 />- 110
<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 />3397:5931.6
<br />1881.5
<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 />f 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 />4g
<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 />2993.8
<br />734.8
<br />10"
<br />3454',1.960.6
<br />1930,4
<br />20
<br />2571.0
<br />550.4
<br />; 20
<br />3003.9
<br />739.7
<br />i '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 />560.9
<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 />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 />Corrections to be Added (T =Tangent. _ E= External.)
<br />ti
<br />TAsrnl L _ Tangents and Externals to a P Curve,
<br />Chord =100 ft.
<br />Angle
<br />Curve 5°
<br />10°
<br />15°; 20° 25°• 30' 35° 40° 45°
<br />60° 65° 70°
<br />Anglo
<br />Angle
<br />Tangent
<br />External
<br />64°
<br />3580.3
<br />T= 13
<br />.26
<br />.40 .53 .67 .80 .93 .106 1.20
<br />1.64 1.79 1.94
<br />40°
<br />E =.023
<br />'.046
<br />.070 .093 .117 .141 :172 .203 .234
<br />T1.341.49
<br />200 .31541
<br />1032.8
<br />15
<br />30
<br />.44 ".60 .76 •.91 1.06 1.21. 1.37
<br />1.87 2.04 2.21
<br />45°
<br />E=.030
<br />.060
<br />.093 .119 .153 .154 .216 .254 .289
<br />.378 .411.29
<br />••20-
<br />4112.1
<br />1322.9
<br />1.227 1.266 .19 1.305 .36 1 .54
<br />.72 .01 2.467 .10 2 .48
<br />2.550
<br />50°'
<br />E =,037
<br />075
<br />.116 151 .189 345
<br />508
<br />4124.8
<br />T=.19
<br />30
<br />.76 .95 1.14 1.32 1.52 1.72
<br />1.92 2.14 2.35 2.562.77
<br />55°.
<br />E=,046
<br />1051.4
<br />42 .188 .236 .283 .332 3.51 .420
<br />.479 .530 .582 .641 •7�83
<br />1337.7
<br />40
<br />4695.2
<br />1 .05 1.340 .27 1.398 49 1 .71 1
<br />2.575 .17 2038 .38 2.697 .60 2
<br />3
<br />60°
<br />E=058
<br />4,38.57
<br />68 .225 283 457 516
<br />774 8'''1
<br />50
<br />4709.2
<br />1686.9
<br />1343 .16 1
<br />1.453 1 2.825
<br />13 3.39
<br />38 2.63 2.8 13
<br />? 3922 1.0 11
<br />65°
<br />E46
<br />�.067
<br />4162.8
<br />04 273 412 554,.88
<br />B97 711 845
<br />ti
<br />TAsrnl L _ Tangents and Externals to 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 />78°
<br />4639.8
<br />1643.0
<br />101
<br />3591.9
<br />1032.8
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<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 />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 />1390.4
<br />50
<br />4793.6
<br />1740.8
<br />66
<br />3720.0
<br />1102.2
<br />73
<br />4239.7
<br />1398.0
<br />'86
<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 />4304.6
<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 />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 />4951.5
<br />1843.1
<br />50
<br />3852.6
<br />1174.8
<br />50
<br />4383.3
<br />1484.4,
<br />,40
<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 />k
<br />3889.0
<br />1195.2
<br />20
<br />4423.1
<br />1508.6
<br />20
<br />5010.0
<br />1881.5
<br />80
<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 />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 />1920.3
<br />10
<br />3950.2
<br />1229.7
<br />10
<br />4489.9
<br />1549.7
<br />5084.0
<br />1930,4
<br />'20
<br />3962:5
<br />1236.7
<br />20
<br />4503.4
<br />1558.0
<br />-10
<br />20
<br />5099.0
<br />1940.3
<br />30
<br />3974.8
<br />1243.7
<br />30•
<br />4510.9
<br />1566.3
<br />30
<br />5113.9
<br />1950.3
<br />40
<br />3987.2
<br />1250.840
<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 />10
<br />4611.9
<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 1
<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 />Angle Curve 5° 10° 15° 20° 25° 30° 35° 40° 1 45° 50° 1 55° 60° 65° 700
<br />000 T=.21 ..42 .63 :84 1.05 1.27 1.49 1.71 1.94 1.17,5,2:186 2,60 2.83 3.07
<br />E=.056 .112 .168 .225 .283 ,340 .398 .457 .516 .5 63 .697 ,774 ,851
<br />65° T=:23' .46 .69 .93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88 3.13 3.39
<br />E =.067• .135 .204 .273 .343 .412 .483 .554 .625 .697 .711 .845 .922 1.01
<br />700 T=.25 .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 •240 .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 />80o T=.30 81 .91 1.22 1.53 1.84 2.15 2.46 2.78 3.10 3.44 3.78 4.12 4.46
<br />E =.110 .220 .332 .445 .558 .671 .787 .90311:02 1.13 1.25 1.38 1.50 1.62
<br />95.- - T=.33 66 1.00 1.33 11.68 ,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 1.06 1.20 1.34 1.47 1.82 1.76 1.91
<br />ry
<br />
|