|
TABLE 1. - Tangents and Externals to a V Curve.
<br />Chord=100 ft.
<br />Inc.
<br />Angle
<br />Tangent
<br />External
<br />Int:
<br />. Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />I.
<br />50.00
<br />22
<br />8°
<br />400. G6
<br />13:99
<br />15° ''
<br />754.32
<br />49.44
<br />10'
<br />68.34
<br />.30
<br />IO'
<br />409.03
<br />14.58
<br />10'
<br />762.80
<br />50.55
<br />20
<br />66:67
<br />.391
<br />20-
<br />417.44
<br />,:,15:18
<br />20
<br />771:29
<br />51.68
<br />30
<br />75.01.
<br />.49
<br />30
<br />425:79
<br />15.80
<br />- 30
<br />779.:77
<br />52,82
<br />40
<br />83.34
<br />.61
<br />40
<br />434.1.7
<br />16.43
<br />40`
<br />786.26
<br />53.97
<br />50 :
<br />91.68
<br />.73
<br />•50
<br />442.55
<br />17.07-
<br />50
<br />796.75_
<br />';55.13
<br />2
<br />100.01
<br />.87
<br />9'
<br />450:03
<br />,.17.72
<br />].6
<br />605.25
<br />56.31
<br />10108.35
<br />.039
<br />1.02
<br />10
<br />459:32
<br />18.38'
<br />-10
<br />813.75
<br />57.50
<br />0.
<br />20."
<br />116.6
<br />1.19
<br />20 •_467.71
<br />•.79
<br />MIA
<br />20'S22'.25
<br />F=.606
<br />58.70
<br />30
<br />125:02
<br />1:36
<br />30
<br />476. 10,
<br />19.75
<br />30
<br />830.76
<br />_•59.91
<br />40 -
<br />133.36•
<br />1.55'
<br />40
<br />.484.49
<br />20.45
<br />40
<br />839.27
<br />61.14
<br />50
<br />141.70
<br />1,75
<br />50
<br />492.88
<br />21.10
<br />50 -
<br />847.78
<br />.62.38
<br />3
<br />150,.04
<br />1,96
<br />10
<br />501:28
<br />21.89
<br />" 17
<br />&.56. so
<br />'63.63
<br />10..
<br />158:38
<br />2,19
<br />10
<br />509.68
<br />22.62
<br />10
<br />864.82
<br />64. 90
<br />20
<br />166.72
<br />2,43
<br />20
<br />518.08
<br />23.38
<br />20-•
<br />573.35'
<br />66.•18
<br />30
<br />175.06
<br />2.67
<br />30,
<br />526.48.
<br />24.14
<br />30
<br />881.88
<br />67.47
<br />40
<br />183.40
<br />2.93
<br />40
<br />534.89-
<br />226.6
<br />40
<br />590.41:
<br />GS -77
<br />50
<br />191.74
<br />3.21
<br />50
<br />543.29
<br />,24,91
<br />25.70
<br />50
<br />898.95
<br />70.09
<br />4
<br />200.08
<br />3.49
<br />.11
<br />551.70
<br />26.50
<br />18
<br />907.49
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />10
<br />560.11
<br />27.31
<br />10
<br />916:03
<br />72.76
<br />20
<br />216.77
<br />4.10
<br />20
<br />568.53
<br />28.14
<br />20
<br />924.58
<br />74.12
<br />30
<br />225.12
<br />4:42
<br />30
<br />576.95
<br />r 28.97
<br />30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.76
<br />40
<br />585.36
<br />29.82
<br />-40
<br />941.69
<br />76.86
<br />50
<br />241.81
<br />5.10
<br />50
<br />'593.79
<br />30.68
<br />50
<br />950.25
<br />78.26
<br />5
<br />250.16
<br />5.46
<br />12
<br />602.21
<br />31.56
<br />19
<br />958.81
<br />79. G7
<br />10
<br />258.51
<br />5.8.3
<br />10
<br />610.64
<br />32.45
<br />10
<br />967.38
<br />81.09
<br />20
<br />266.86
<br />6.21,
<br />20
<br />619.07.,
<br />33.35
<br />20
<br />,975.96
<br />82.53
<br />30
<br />275.21
<br />6.61
<br />30,
<br />627.50
<br />34.26
<br />30
<br />984.53
<br />83.97
<br />40
<br />283.57
<br />7.01'
<br />40
<br />635:93
<br />35AS
<br />40
<br />993.12
<br />85.43
<br />50
<br />291.92
<br />7.43
<br />50
<br />644.37
<br />36.12
<br />50
<br />1001.7
<br />66.90
<br />6
<br />300.28
<br />7.83
<br />13
<br />652.81
<br />37.07
<br />20.
<br />1010.3
<br />88.39
<br />10
<br />308.64
<br />8.31
<br />10
<br />661.25
<br />38.03
<br />10
<br />1018.9 •
<br />89.89
<br />20_-•316.99
<br />1393.3
<br />8.76
<br />20,
<br />669.70
<br />39.01
<br />20 :
<br />1027.5
<br />91.40
<br />30
<br />325:35
<br />9.23
<br />30
<br />678.15
<br />39.99
<br />30
<br />103G.1
<br />92.92
<br />40
<br />333.71.
<br />9.71
<br />40
<br />686.60
<br />40.99
<br />40
<br />1044.7`_
<br />94.46
<br />50
<br />342.08-
<br />10.20
<br />50
<br />695.06
<br />42.00
<br />50
<br />1053.3
<br />96.01
<br />7
<br />350.44
<br />10,71
<br />14
<br />703.51
<br />43.03
<br />21 -
<br />1061.9
<br />97.57
<br />10
<br />358.81
<br />11.22
<br />10
<br />711.97
<br />44.07
<br />10
<br />1070.6
<br />99.16
<br />20'
<br />367.17
<br />11.75
<br />20
<br />720.44
<br />45.12
<br />20
<br />1079.2
<br />100.75
<br />30
<br />x+375.54'
<br />12.29
<br />30.
<br />728.90
<br />46.18
<br />30
<br />1087.8 _.
<br />102.35
<br />40
<br />383.91
<br />12.85'
<br />40
<br />737.37
<br />47:25
<br />40
<br />1096.4
<br />103.97
<br />50
<br />392.28
<br />13.41
<br />50
<br />745.85
<br />48.34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Int. Curve 5°
<br />Angle
<br />10° 15° 20°
<br />25°
<br />30°
<br />35° 40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />_
<br />50 T=.02
<br />.03 .05 .06i
<br />.08
<br />.10
<br />.il .13
<br />.15
<br />.10
<br />.18
<br />.20'
<br />.21-
<br />.23
<br />E=.000
<br />.000 .001 .001
<br />.002
<br />.002
<br />.002 .003
<br />,.003
<br />.004
<br />004
<br />.004
<br />.005
<br />.005
<br />10° `P=.03
<br />.05 .09 (3
<br />.16
<br />.19
<br />.22 .25
<br />.28
<br />.81
<br />.34'
<br />.38
<br />.42
<br />.40
<br />E=.001
<br />.003 .004 .005
<br />.D07
<br />.003
<br />.W9 .011
<br />.012
<br />014
<br />.015
<br />.017
<br />.018
<br />,020
<br />15° T=.04
<br />.10 .14 ,19
<br />.24
<br />.29
<br />.34 .30
<br />;15
<br />.51
<br />.53
<br />.58
<br />.63
<br />.63
<br />E =.003
<br />.007 .010 .014
<br />.018
<br />.023
<br />.027 .020
<br />.032
<br />.035
<br />.039
<br />.043
<br />.047
<br />.0.51
<br />20o T=.05
<br />.13 .19 .26
<br />.32
<br />.39
<br />.45 .51
<br />.58
<br />.65
<br />1
<br />•.79
<br />206.77
<br />20
<br />F=.606
<br />.011 .017 .022
<br />.028
<br />.034
<br />.038 Al.,
<br />,051
<br />.057
<br />.063
<br />.070
<br />.076
<br />083
<br />25° T =.08
<br />l6 .24 .33
<br />.40
<br />.49
<br />.53 6,7
<br />.75
<br />.63
<br />.90
<br />.99
<br />1.06
<br />1.14
<br />E = 009
<br />.018 .027 .036
<br />.046
<br />.056
<br />.065 .074
<br />.083
<br />.093
<br />.106
<br />.120
<br />.127
<br />.135
<br />Tenzin-l: - TEL and Externals to a 1° Curve., III
<br />Chord =100 ft_
<br />Int_
<br />Angle
<br />Tangent
<br />External
<br />Int•
<br />Angle
<br />Tangent
<br />Extervat
<br />Tnt.
<br />Angle
<br />Tangent
<br />External"
<br />221.
<br />1113:7
<br />107.24:
<br />29°
<br />1481.8
<br />188.51
<br />361
<br />1861.7
<br />294.9
<br />"101
<br />1122.4
<br />108.90
<br />10'
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />-20
<br />1131.0
<br />110.57
<br />20
<br />1499.6
<br />192.99
<br />20
<br />1880.1
<br />300.6
<br />-30
<br />1139.7
<br />L12.25
<br />30
<br />1508.5
<br />195.25
<br />30
<br />1889.4
<br />303.5
<br />40
<br />1148:4
<br />113.9.5
<br />40
<br />1517.4
<br />197.53
<br />40
<br />1898.6
<br />306.4
<br />50
<br />1157.0
<br />115.66
<br />'50
<br />1526.3
<br />199.82
<br />50
<br />1907.9
<br />309.3
<br />23
<br />1165.7
<br />117,38
<br />30
<br />1535,3
<br />202.12
<br />97
<br />1917.1
<br />312.2
<br />10
<br />1174.4
<br />119.12
<br />10
<br />1544,2
<br />- 204.44
<br />10
<br />1926.4
<br />315.2
<br />20
<br />1183.1
<br />120.87
<br />:20
<br />.1553.1'
<br />206.77
<br />20
<br />1935.7
<br />318.1
<br />30 -
<br />1191.8
<br />122,63
<br />30
<br />1562.1
<br />209.12
<br />30
<br />1945:0
<br />321.1
<br />40
<br />1200.5
<br />124.41
<br />40
<br />157 1. 0
<br />211.48
<br />40
<br />1954.3
<br />324.1
<br />50
<br />.1209:2
<br />12G.20
<br />50
<br />1580.0'
<br />213.85 j
<br />50
<br />1953.6
<br />327.1
<br />24
<br />1217.9
<br />128,00
<br />31
<br />1589.0
<br />216.3 I
<br />38
<br />1972,9'
<br />330.2
<br />10
<br />1226.6,
<br />129,82
<br />"'10
<br />1598.0
<br />218.7
<br />10
<br />1982.2
<br />333.2
<br />20
<br />1235.3
<br />-131 65
<br />20
<br />1606.9
<br />221,1
<br />`20
<br />199t.5
<br />336.3
<br />30
<br />1244.0'
<br />133,50
<br />80
<br />1GI5.9
<br />223:5
<br />30
<br />2000,9
<br />339.3
<br />40
<br />1252.8
<br />125.35
<br />40
<br />1624.9
<br />226.6
<br />40
<br />2010:2
<br />342.4
<br />50
<br />1261.5
<br />137,23
<br />50
<br />1633.9
<br />228:4
<br />50
<br />2019.6
<br />345.5
<br />25
<br />1270.2
<br />139.11
<br />32•.
<br />1643.0
<br />230.!)
<br />39
<br />2029.0
<br />348.0
<br />"10
<br />1279.0
<br />141.011
<br />10
<br />1652.0
<br />233,4
<br />10
<br />2038.4"
<br />351.8
<br />20
<br />12&7.7
<br />142.93
<br />20
<br />IGC1:0
<br />235.9
<br />20
<br />2047.8'
<br />354,9
<br />30
<br />1296:5'
<br />144.65
<br />30
<br />1,670.0
<br />238.4
<br />X30
<br />2057:2
<br />358.1
<br />40
<br />1305.3,
<br />146,79
<br />40
<br />1679.1
<br />241.0
<br />40.
<br />2060.6
<br />361.3
<br />-50
<br />1314:0
<br />148.75
<br />50
<br />1688.1-
<br />243.5
<br />50
<br />2056.0
<br />364.5
<br />26
<br />1322.8
<br />150.71
<br />33
<br />1697.2
<br />246:1
<br />40
<br />2085.4
<br />367.7
<br />10
<br />1331.0'
<br />1,52.69
<br />'10
<br />1706.3
<br />248.7
<br />10
<br />2094.9
<br />371.0
<br />20
<br />.1340.4
<br />154.69
<br />20
<br />1715.3
<br />251.3
<br />20
<br />2104.3
<br />374.2
<br />30
<br />1349.2
<br />156.70
<br />30
<br />1724.4
<br />253.9
<br />30
<br />2113.8
<br />377.5
<br />40
<br />1358.0
<br />158.72
<br />40
<br />1733.5
<br />256.5
<br />-40
<br />2123.3
<br />380.3
<br />50.
<br />1366,S,
<br />160.76
<br />50
<br />1742.6
<br />259.1
<br />50
<br />2132.7
<br />'384,1
<br />27
<br />1375.6
<br />162.81
<br />34
<br />1751.7
<br />261:6
<br />Al -
<br />2142.2,,
<br />387.4
<br />10
<br />1384.4
<br />164.86
<br />10
<br />1760.8
<br />264.5
<br />10
<br />2151.7
<br />390.7<
<br />20
<br />1393.3
<br />166.95
<br />20
<br />1770,0
<br />267.2
<br />20
<br />2161.2
<br />394.1--
<br />30
<br />1402.0
<br />169.04
<br />30
<br />1779.1
<br />269.9
<br />30
<br />2170.8
<br />397.4
<br />40
<br />.1410.9
<br />171.15
<br />40
<br />1788.2
<br />272.6
<br />'40
<br />2180.3
<br />-400.8
<br />50
<br />1419:7
<br />173.27
<br />'60
<br />1797.4
<br />-275.3
<br />50
<br />2189.9
<br />404.2
<br />28
<br />1428.6
<br />175,41
<br />35
<br />1806.6
<br />278:1
<br />42
<br />21.99.4-
<br />407.0
<br />10
<br />.1437.4
<br />177.55
<br />10
<br />LSI 5.7
<br />280.S
<br />10
<br />'2209,0
<br />411.1
<br />20
<br />1446.3
<br />179.72
<br />20
<br />1824.9
<br />283.6
<br />20
<br />2218.0
<br />414.5
<br />-30
<br />1455.1
<br />IS1.89
<br />30
<br />1834.1'
<br />286.4
<br />30
<br />2228,1
<br />4L8.0
<br />40
<br />1464.0
<br />184.08
<br />40
<br />1843.3
<br />289.2
<br />40
<br />2237.7
<br />421.4
<br />50
<br />1472.0
<br />18G.29
<br />50
<br />1852.5
<br />292.0
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T=Tangent. .E=External.)'
<br />-,Curse5°
<br />Angl
<br />ugle
<br />10°
<br />15° 20°
<br />25°,^
<br />$0°
<br />351
<br />40°
<br />45° 50°
<br />55° 601
<br />65°
<br />70°
<br />200 T=.06
<br />.13
<br />.19 , 26
<br />1 .32
<br />.39
<br />.45
<br />.51
<br />.58.65
<br />.72 .79
<br />.84
<br />.90
<br />E=.006_
<br />.011
<br />.017 .022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051 .057
<br />.063 .070
<br />.076
<br />.083
<br />1.127.1
<br />E=.009
<br />.018
<br />.027. 036
<br />:046
<br />.GW
<br />.065
<br />.074
<br />.083 .093
<br />.1106 .120
<br />135
<br />30" T=.10
<br />.19
<br />.29 .39
<br />49
<br />.59
<br />.69
<br />.79
<br />.80 .99
<br />1.09` i.201.29
<br />1.39
<br />E=.013
<br />025
<br />.038 .051
<br />.065
<br />1076
<br />.090
<br />.103
<br />.116 :129
<br />.149 '..170
<br />.179
<br />.188
<br />350 T=.11
<br />.22
<br />34 .47
<br />.58
<br />.69
<br />.80.93
<br />1.05 1.17
<br />1.29 1.42
<br />1.54
<br />1.66
<br />E=.018
<br />.035
<br />.0% .072
<br />085
<br />.109
<br />.131
<br />.153
<br />.175 .197
<br />.213 .230
<br />.247
<br />:264
<br />40o;. T=.13
<br />.26
<br />.40 '.63
<br />.67
<br />.80
<br />.93
<br />1.06
<br />1.20 1.34
<br />1.49 1.64
<br />1.79
<br />1.94
<br />E -02.3046
<br />.070 .093
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234 .265
<br />:277 .290
<br />.315
<br />.391
<br />45° T=.15
<br />30
<br />.44 .60
<br />.76
<br />1 .91.
<br />11.05
<br />1.21,
<br />1.37 j 1.52
<br />1.70 1.87
<br />2.04
<br />2.21
<br />E = 030•
<br />-:060
<br />.093 .119
<br />.L53
<br />.189
<br />.216
<br />.254
<br />289 .325
<br />.351 .378
<br />.411
<br />.445
<br />
|