|
r
<br />ry TABLE 1.,7- Tangents' and Externals to a'1° Curve.
<br />Chord =100' f t.
<br />Int._
<br />Angle:
<br />I
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />.Tangent 'External
<br />Int .
<br />Angle
<br />Tangent
<br />External
<br />48°y
<br />2257.0
<br />428.5
<br />501
<br />2671.8
<br />592:3
<br />571
<br />3110.9
<br />796.1
<br />10'
<br />2266.6
<br />432 .0,
<br />ICY
<br />2681.9
<br />''596.6
<br />10'
<br />3121.7.
<br />795.2
<br />'20
<br />2276.2
<br />435.6
<br />201
<br />2692.1
<br />600.9
<br />20
<br />3132.6
<br />806.4
<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.-1
<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 />5.1
<br />2732.9=
<br />618.4
<br />58
<br />3176.0821.4
<br />4723.2
<br />10
<br />2324.6,
<br />453.6
<br />10
<br />2743.1•
<br />622.8
<br />10
<br />3186.9
<br />820.7
<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 />2303,5'
<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 />470.6
<br />20
<br />2815.2"
<br />654.3
<br />"20
<br />'3263:7
<br />804.3
<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 />SO
<br />,2422.3
<br />;491.0
<br />50
<br />2846.3
<br />668.0
<br />50
<br />3296.9
<br />880.8
<br />1788.0
<br />67
<br />3792.4
<br />1141.4
<br />74.
<br />'4317.6
<br />1444.6
<br />81
<br />4893.6
<br />'48 -"
<br />2432:1;
<br />494.8
<br />83,/
<br />2856.7
<br />67 2.7,
<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 />•120
<br />2877.5
<br />682.0
<br />20
<br />'3330.3
<br />1897.5
<br />30
<br />2461.7
<br />506.4
<br />¢30
<br />2888.0
<br />686.7
<br />30
<br />3341.4
<br />j903.2
<br />40
<br />2471:5
<br />510.3
<br />! 40
<br />2898.4
<br />691.4
<br />40'
<br />3352.6
<br />905.8
<br />:50''
<br />2481.4
<br />514.3 ,
<br />'. SO
<br />2908.9
<br />696.1
<br />50
<br />3363.8
<br />914.5
<br />'47-
<br />249 1. 3
<br />518:2
<br />54-
<br />2919,4
<br />700.9.
<br />61
<br />3375.0
<br />920.2
<br />LO
<br />250L.2
<br />522.2
<br />10
<br />2929.9
<br />705.7-
<br />10
<br />3386.3
<br />025.9
<br />,20
<br />.2511.2
<br />526.1
<br />20
<br />2940,4
<br />710.5
<br />20
<br />3397.5
<br />031.6
<br />30
<br />252L.1
<br />530.1
<br />30
<br />2951.0
<br />715.3
<br />30
<br />3408.8
<br />037.3
<br />40
<br />•2531.1
<br />534.2
<br />40
<br />2961.5
<br />720.1
<br />40
<br />3420.1
<br />013.-1
<br />50
<br />'2541.0
<br />"538.2
<br />SO
<br />2972.1
<br />725.0
<br />50
<br />3431.4
<br />948.9
<br />'48-
<br />2551;0
<br />542.2
<br />S5
<br />2982.7
<br />729.0
<br />62
<br />3442.7
<br />954.8
<br />10
<br />256 1. 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 />730.7
<br />20
<br />3465.4
<br />966,5
<br />,30 ',2581,0
<br />40
<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 />3048.5
<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 />764.8
<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 />3073.7
<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 />,2681.0
<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 />l°I
<br />Angle
<br />Curve 5° 10° 15° 20°, 25°
<br />30° 35° 40° 45° 50°' 55° 60° 65°, 70°
<br />40°
<br />T=.13 .26 -.40 .53t17.80
<br />.93 .106 1.20 1.34 1.49 1.64 1.79 1.94
<br />Angle
<br />Angle
<br />E =.023 .046 .070 .093.141
<br />_172 .203 .234 .255 .277 .290..315 _.341
<br />45°
<br />'T=,15 .30 .44' .60
<br />.91 1.08 1.21 1.37 1.52 1.70 1.87 2.04 2.21
<br />711
<br />E=.030 .080 .093 .119.184
<br />216 .254 .289 .325 .351 .378 ^411 .445
<br />780
<br />T=.17 .34 .51 .6S
<br />1.02 1.19 1.36 1.54 1:72 1.91 2.10 2.29 .2.48
<br />EY
<br />E=.037- .075 .116 .151.227
<br />.268 .305 .345 .384 .425 .467 .508 .550
<br />550
<br />T=.19 - .38 .57 .76'1.14
<br />1.32 1.52 1.72 192 2,I4 2.35 2.58 2.77E=.046
<br />10'
<br />.093 .142 ASS
<br />.283 .332 3.81 .420 .479 .530 .582 .6541 ,70060°
<br />20
<br />T=.2l .42 .63 .84
<br />1:27 1.49 1.71 1.9t 2.17 238 2-60 2.83 3.07
<br />20
<br />.058 :112 ..168 .225.340
<br />.398 ,457 .518 .575 .G36 .097 .774 .851
<br />63n
<br />T=.23 146 .69 .93
<br />1.40 1.64 1.88 2.13 2.36 2.53 2.88 3.13 3.39
<br />30
<br />E-.067 .135 .204 .273.412
<br />AM .554 .625 .697 .711 .645 .9271A1
<br />TA731.A10 T.'- Tangents ani] Externals to a 1° Curve, V.
<br />ChoM =100. f t.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle -
<br />Tangent
<br />External
<br />Angle
<br />Angle
<br />Tangent
<br />g
<br />External
<br />64°
<br />3580.3
<br />1026.6
<br />711
<br />4088.9
<br />1308.2
<br />780
<br />4639.8
<br />1643.0 ,
<br />EY
<br />3391.9
<br />1032.8
<br />10'
<br />4099.6
<br />1315.6
<br />10'
<br />4653.6
<br />1651.7
<br />20
<br />3603.5
<br />1030.0
<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 />85
<br />3650:2
<br />1063.9,
<br />72
<br />4162.8
<br />1352.6
<br />79
<br />4723.2
<br />1695.S
<br />IO
<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 />4158.5
<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 />140
<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 />3700.6
<br />1095.7
<br />50
<br />.4226:8
<br />1300.4
<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 />4822.0
<br />1759.0
<br />20
<br />"3744.6
<br />1115.1,
<br />120
<br />4265.6
<br />1413.5
<br />20
<br />4836.2
<br />1768.2
<br />30•
<br />2756.5
<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 />1788.0
<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 />3916.4
<br />1154.7
<br />20
<br />4343.8
<br />1460.4
<br />20
<br />4922.5
<br />1824.1
<br />30
<br />3825.4
<br />1161.3','
<br />36.
<br />4356.9
<br />1168.4
<br />30
<br />4937.0
<br />1833.6
<br />40
<br />384015
<br />1168.1'
<br />40
<br />4370'.1
<br />.1176.4
<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 />4906.L
<br />1852.6
<br />68
<br />3864.7
<br />1181.6
<br />75
<br />4396_.6
<br />1492.4
<br />82
<br />4980.7
<br />1862.2
<br />..10
<br />3870.8
<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 />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 />4489.0
<br />1549.7
<br />10
<br />5084.0"
<br />1930:4
<br />20
<br />3962.5
<br />3236.7
<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 />11960.2
<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 />1591.0
<br />84
<br />5159.0
<br />19804
<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 />2000.0
<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 />Curve 5°
<br />10° 151 20° 250 301 351
<br />40°
<br />45° 50°
<br />55° 60° 65° 7D°
<br />_Angle
<br />poo
<br />T=.21
<br />.42 .63 .84 1.05 1.27 1.40
<br />1.71
<br />1.94 2.17
<br />2.38 2,60 2.83 3.07
<br />E =.056
<br />.112 .168 ..225 .283 .340 .398
<br />.457
<br />.516 .575
<br />.636 ,697 ,774 .851
<br />65°
<br />T=M
<br />.45 .69 93 1.16 1.40 1.64
<br />1.88
<br />2.13 2.38
<br />2.63 2.88 8.18 8.39
<br />E =.067
<br />.135 .204 .273 .343 .412 .483
<br />.554
<br />.025 .697
<br />.711 .845 .922 1.01
<br />70°
<br />T =.25
<br />.51 .76 1.02 1.28 1.54 1.80
<br />2.06
<br />2.33 2.60Z.88
<br />3.16 3.44 8.72
<br />E =.080
<br />.159 .240 .321 .403 .485 .568
<br />.652
<br />.735 .819
<br />.906 .994 1.08 1.17
<br />75o
<br />T= .27'
<br />.58 ..83 1.12 1.40 1.69 1.98
<br />2.27
<br />2.57 2.87
<br />3.16 3.47 3.78 4.09
<br />E =.095
<br />.182 .286 .383 .480 .578 .678
<br />.777
<br />.877 .977
<br />1.07 1.18 1.29 1.30
<br />Boa
<br />=.30
<br />.61 91 1.22 153 1.84 2.15
<br />2.40
<br />2.78 3.10
<br />3.44 3.78 4.12 4.48
<br />E-.110
<br />.220 .332 .445 .558 .671 .787
<br />.003
<br />1.02 1.13
<br />1.25 1.38' 1.50 162
<br />85°
<br />T =.33
<br />66 1.00 1.33 1.68 2.02 2.20 2.70
<br />3.05 3.40
<br />3:77 4.14 4.55 4.80'
<br />E =.128
<br />256 .391 .524 .657 .790 .920 1.06
<br />1.20 1:34
<br />L4L 1.62 11.70 1.91
<br />
|