|
TABLE' I.. - Tangents and Externals to a 1' Curve. I
<br />Chord =100 ft_
<br />Int.
<br />Angle
<br />.Tangent
<br />External
<br />Inc.
<br />Angle
<br />Tangent
<br />External
<br />Wigle
<br />I Tangent
<br />Externa!
<br />43°
<br />10'
<br />'2257.0
<br />2266.6
<br />428.5
<br />432.0'
<br />50°
<br />10'
<br />2671.8
<br />2681.9
<br />592.3
<br />'596,6,
<br />57°
<br />3110.9
<br />790.1
<br />20
<br />2276.2
<br />435.6'
<br />20
<br />2692.1
<br />600.9
<br />10'
<br />20
<br />3121.7
<br />3132.6
<br />795.2
<br />800.4
<br />30
<br />40
<br />2285.9
<br />2295:6
<br />439.2
<br />442,8
<br />30
<br />2702.3
<br />605.3:
<br />30
<br />3143,4
<br />805.6
<br />.'50
<br />2305.2
<br />446.4"
<br />40
<br />50
<br />2712.5
<br />2722.7
<br />609.6
<br />614,0
<br />40
<br />50
<br />3154.2
<br />3165.1
<br />810.9
<br />40
<br />3626.8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />40
<br />4695,2
<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 />'2334.3
<br />453.6
<br />10
<br />2743.1
<br />622,8
<br />10
<br />3186.9
<br />826.7
<br />20
<br />30
<br />3661.9
<br />457.3
<br />20
<br />2753.4
<br />627.2
<br />20
<br />3197.8
<br />832.0
<br />40
<br />2344.1
<br />2353.8
<br />461.0
<br />-.30
<br />2763.7
<br />631.7
<br />30
<br />3208.8
<br />837.3
<br />50
<br />2363.5
<br />464.6
<br />40
<br />50
<br />2773.9
<br />2784.2
<br />636.2
<br />40
<br />3219.7
<br />842.7
<br />40
<br />3697.2
<br />.468.4
<br />40 '
<br />4214:0
<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 />.
<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 />880.81
<br />.66
<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 />1 '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 />T
<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 />68' "'
<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 .3035.8
<br />4530.4
<br />, 754.6
<br />50
<br />3499,7
<br />984.3
<br />119
<br />2611.2
<br />566-.9
<br />56•
<br />3046.5
<br />759.6.
<br />68
<br />3511.1
<br />990.2
<br />10
<br />20
<br />2621.2
<br />571.1
<br />10
<br />3057,2
<br />764,6
<br />10
<br />3522.6
<br />996.2
<br />10
<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 />TABLm I. - Tangents and Externals to a 10 Curve. v
<br />Chord=100 ft.'
<br />Int.Int:"
<br />Angle
<br />Tangent
<br />External
<br />Angie
<br />Tangent
<br />-
<br />External
<br />Int.
<br />Angie
<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 />10'
<br />3591.9
<br />1032.8
<br />10'
<br />4099.5
<br />13156
<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''1330.3
<br />.511,02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 3.44 3.72
<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 />79,
<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 />80"
<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 />1382.3
<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 />3720.9
<br />1102.2
<br />78
<br />4239.7
<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 />1418.5
<br />20:
<br />4836':2
<br />.1768.2
<br />30
<br />3756.5
<br />1121.7
<br />3J
<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 />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 />_
<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 />110.
<br />4449.7
<br />1524.9
<br />40
<br />5039.5
<br />1900.9
<br />50
<br />3925.6
<br />1215.8
<br />Ba
<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 />1 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 />60
<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.) Corrections to be Added (T -Tangent. E=External.)
<br />je
<br />Angle
<br />Curve 5°
<br />'10° 15°, 20° 25° 30° 35° 40° 45° 50° 55° 66b 65° 70°
<br />angle
<br />Curve 5°
<br />20° 25° 30° 35°' 40° 45° 50° 55° 60° 65° 70-
<br />10°[.2240
<br />40
<br />T=:13
<br />.28 '.40 53 .67 .•80 .93 ,1061,20 1.34 1.49 1.64 1.79 1.94
<br />60 o
<br />T=.21
<br />.4$ .84 1.05 1,27 1.49 1.71 1.94 2.17 2.38 2.60 2.83 3:07
<br />'.85
<br />E=.023.
<br />.0415 .070 •.093 .117 ,141 ..172 .203 ..234 '.265 .277 -.Z90 .315 .341
<br />E=.056
<br />.112 _.225 .283 .340 .398 .457 .516 .575 .636 .697 .774
<br />450
<br />-37
<br />i:216 1.254 1.351 2.411 2
<br />65°
<br />1:343 .16 1.4402 1.48 1.554 88- ?.625 .13 2.697 ,38 ? 63
<br />2.845 .88 3.922
<br />E=.030
<br />.060 ..003..119 ..153 .'. 184 1 289 1 325 1 378 445
<br />E=.067
<br />.135 .273 711 1.01
<br />Soo
<br />50.
<br />T=:17 =
<br />7.34 51 .-.68 `.85 1,02 1.19 1.36 1.54 1.72 1.91' 2.10 2.29 2.48
<br />o
<br />70
<br />T=.25
<br />.511,02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 3.44 3.72
<br />E=.037
<br />,075 :116 .:.151 :.189 _,227 .266 .305 .345 .384 .425 .467 .508 .55
<br />E=.080
<br />.159 .321 .403 .485 .568 .652 .735 .819 .906 .994 1.08 1.17
<br />55 o
<br />T=.19
<br />38 57 .76 :95 1.14 1.32 1.52 1.72 1.92 2.14 2.35 2.56 2.77
<br />75 o
<br />T=.27.
<br />.58 ..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=.048
<br />.093 .142 .188 .238 ',283 .332 3.81 .420 .479 .530 .582 ..641 .700
<br />E=.095
<br />.182 .286 .383 .480 .578 .678 .777 .877 .977 1.07 1,18 1.29 1,39
<br />60 o
<br />T=.21
<br />.42 .63 '.84 1.05 1,27 1.49 1,71 1.94 2.17 2.38 2.60 2.83 3.07
<br />$0 o
<br />T=.30
<br />61' .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-056
<br />.112 .168 .225 .283 .340 .398 .457 .516 .575 .636 .697 .774 .861
<br />E=.110
<br />.220 -.332 ,445 .558 .671 .787 .903 1:02 1.13 1.25 1.38 1.50 1.62
<br />Gro
<br />T=.23 -
<br />.46 69 - 93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88 3.13 3.39
<br />".204
<br />�o -
<br />T=.33
<br />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=.087
<br />.135 .273 343 '.412 .483 ,554 .625 .697 .711 .845 .922 1.01
<br />E=.128
<br />259 391 .524 .857 y79 .92 1.06 1.20 1.34 1.47 1.62 1.76 1.91
<br />
|