|
II TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chord= 100 ft.
<br />Int,
<br />Angle
<br />Tangent
<br />External
<br />?Int (
<br />Angle''
<br />' Tangent
<br />L''. mal-
<br />Int
<br />-Angle
<br />Tangent
<br />g
<br />External
<br />.03 .05 .06, x:.08 .10 .11
<br />:13.15 .16 .18
<br />X0
<br />.21
<br />.23
<br />188.51
<br />-15'
<br />.000 .001 .001' .002 .002 -.002
<br />_.003 .003 .004 .004
<br />1°
<br />50.00
<br />22-�✓8°^
<br />30°
<br />1400:66
<br />d3.99 -
<br />- ''
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14.58
<br />10'
<br />762.80
<br />50.55
<br />20
<br />66.67
<br />', 89};
<br />�`:49--.-
<br />57 X20;�
<br />417:41-
<br />15:18
<br />^'20
<br />771.29
<br />51.68
<br />30
<br />75.01
<br />.047
<br />•305:425.79-
<br />200
<br />: 15.80
<br />'•�-=30
<br />779.77
<br />52.82
<br />40
<br />.83.34
<br />.61
<br />40
<br />434.17
<br />16.43
<br />40
<br />788.26
<br />53.97
<br />jrn 60.
<br />i 91188,,)
<br />-'y 73u
<br />x.,60._
<br />.;442:55,t•-._5_0::.,796.75'
<br />1.06
<br />1.14
<br />'1917. 1
<br />E=.009
<br />2`100'01-�
<br />.074 .083..093 .106
<br />87�
<br />'1'.+02
<br />18
<br />i50.93,
<br />17.72
<br />16- ?
<br />•805.25
<br />58.31
<br />10'
<br />"20'
<br />,108.35
<br />t
<br />10 '
<br />459:32'
<br />18.38
<br />y�10
<br />813.75
<br />`822.25
<br />57.60
<br />•30
<br />•118:68
<br />= .1:19
<br />= 26
<br />-:46 7.71
<br />= 1906'•
<br />+ 20•r
<br />1945:0,
<br />58.70
<br />30;
<br />'1200.5
<br />124.41
<br />•40
<br />19:,75 -
<br />) (:30 . ,
<br />830:76'
<br />•.59.91
<br />40.
<br />7133.36
<br />1:55 .
<br />.`4780'
<br />.'40 ,
<br />,
<br />'484.49
<br />.-'20.45
<br />40 .
<br />839.27,..
<br />61:14
<br />50
<br />-141:70,•':,'1.75
<br />128.00
<br />50 ,
<br />;492.88
<br />21.16`
<br />50'
<br />847:78-'
<br />62.38
<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 />8'
<br />150.04,
<br />1,96
<br />10 q '.
<br />� 501:28
<br />`- 21:89
<br />' 17.
<br />856-30
<br />63.63
<br />• % "10 i
<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 />873.35;:
<br />68:18
<br />80
<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'..1'534':89:.'24.91
<br />1643.0
<br />230.9-:
<br />40
<br />890.41
<br />68.77
<br />50
<br />191.74
<br />3.21
<br />50
<br />543.29
<br />25.70
<br />50
<br />898.95
<br />70.09
<br />• 20
<br />1287.7
<br />142:93
<br />26
<br />1661'.0
<br />235.9
<br />-20
<br />2047.8
<br />354.9
<br />4
<br />'•200.08
<br />== 8:'49`
<br />::11-
<br />`55T.70
<br />•` M50,'
<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 ,;-916:'03.
<br />2066.6
<br />72.76
<br />20
<br />216.77
<br />44.10
<br />20
<br />568.53
<br />28.14
<br />20
<br />924.58
<br />74.12
<br />30
<br />226.12
<br />, 4!42:
<br />'�`c30,'
<br />',576.95-
<br />^ 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 />a, 40
<br />941.69.
<br />76.86
<br />50
<br />241.81
<br />' 530
<br />50'
<br />593.79
<br />30.68'
<br />'50
<br />950.25
<br />78.26-
<br />1'30
<br />1349:2 ,
<br />.
<br />1 .c.
<br />_ �..
<br />f,•
<br />..
<br />2113.8
<br />377.5
<br />5
<br />250.16
<br />5.46.
<br />12:.:
<br />602:21
<br />31156
<br />19
<br />958.81
<br />79.67
<br />10
<br />258.51
<br />5.83
<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 .:"619.:07
<br />1751.7
<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 />r 34.26
<br />30i
<br />> 984.53
<br />83.97
<br />40
<br />283.57
<br />'7.01'
<br />40"
<br />'635.93
<br />-35.18
<br />40'
<br />993.12
<br />85.43
<br />60
<br />291.92
<br />.� 7.43..
<br />-..501
<br />..644.37
<br />,' 36.12
<br />50
<br />1001.7
<br />86.90
<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 />8
<br />300.28
<br />7.86
<br />13
<br />652.81
<br />37.07•
<br />20 -
<br />1010.3.;
<br />88.39
<br />10
<br />308764
<br />•' 8.31
<br />X10
<br />661:25
<br />38.03•
<br />""'•10
<br />1018.9
<br />89.89
<br />20 '
<br />316.99i
<br />8.76
<br />20
<br />-669:70.
<br />39.01'
<br />20
<br />1027:5"
<br />91.40
<br />30
<br />1446.3
<br />9.23
<br />30
<br />678:15
<br />39.99
<br />30
<br />1036.1
<br />92.92
<br />40.333.71'
<br />_'325.35
<br />._ 9.71
<br />40
<br />686.60:
<br />40.99'
<br />40
<br />_
<br />10441.7
<br />94.46
<br />50
<br />'342.08
<br />t 10.20
<br />.
<br />' 50
<br />695.06
<br />42.00
<br />50
<br />1053.3
<br />96.01
<br />50
<br />1472.9
<br />186.29
<br />••50
<br />1852.5
<br />t-43.03`
<br />••50
<br />2247.3
<br />425.0
<br />7
<br />350.44.
<br />10.71
<br />14
<br />703.51
<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 />375.54,
<br />12:2930
<br />.1-72
<br />8.90
<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 />'-745.85
<br />•47.25
<br />40
<br />1096.4
<br />103.97
<br />50
<br />392.28
<br />13.41
<br />50
<br />48.34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Angle
<br />Curve 5°
<br />10° 15° 20' 25° 3U°` 35
<br />40° 1 45° 50° 55°
<br />60°
<br />65°
<br />70°
<br />5-
<br />T=.02
<br />.03 .05 .06, x:.08 .10 .11
<br />:13.15 .16 .18
<br />.20
<br />.21
<br />.23
<br />188.51
<br />E=.000
<br />.000 .001 .001' .002 .002 -.002
<br />_.003 .003 .004 .004
<br />.004
<br />.005
<br />.005
<br />30°
<br />=.03
<br />.06 .09 ; 13' .16 .19 .22
<br />.25 28' 31 .34
<br />38
<br />.42
<br />.46
<br />1131.0
<br />E =.001
<br />.003 .004 .006 .007 .008 -.009
<br />.011 .012 .014 .015
<br />.017
<br />.018
<br />.020
<br />15o
<br />T=.04
<br />.10'. .14 19 .24.29 .34
<br />.39 .45 .51 .,.53
<br />.58
<br />.63
<br />.68
<br />,•30
<br />E=.003
<br />,x:007 '.010 .014 .018 .023 .027
<br />.029 .032 .035 ,,.039
<br />.043
<br />.047
<br />.051
<br />200
<br />' T=,06'
<br />13 •:19 39 .45
<br />.51 68 .85 .72
<br />79
<br />.84
<br />.90
<br />115.66 '
<br />E=:008
<br />.011 '.017 .034 .038
<br />.045.051 .057 .063
<br />.070
<br />,.076
<br />'.083
<br />25o
<br />T=08
<br />+-022.028
<br />IB .24 .49 .b8
<br />.87 .75 .63 .90
<br />.99
<br />1.06
<br />1.14
<br />'1917. 1
<br />E=.009
<br />.018 .027, .056 .085
<br />.074 .083..093 .106
<br />.120
<br />.127
<br />.135
<br />.TABCE `I:'-Tangent0 and•Extenial9-to'a 1°.Curvc.i III
<br />Chord =100 ft:•
<br />Int. -
<br />Angle'
<br />TaTigenE
<br />External,
<br />Int. _"
<br />Angle
<br />Tangent
<br />External'
<br />Int. -
<br />'Angle'
<br />Tangent
<br />External
<br />22*'
<br />`1.113 .'7
<br />107.24
<br />28°-:
<br />1481.8
<br />188.51
<br />36°-`
<br />1801:7
<br />2[4:9
<br />10'
<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 />112.25 '•
<br />30
<br />1508.5
<br />195.25
<br />,•30
<br />1889:4
<br />303.5
<br />40
<br />1148.4
<br />113.95
<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 />36 ''
<br />153573
<br />202.12
<br />37�
<br />'1917. 1
<br />312,2
<br />10
<br />41174:4
<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 />4935.7
<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 />1571,0
<br />211.48
<br />40
<br />1954.3
<br />324.1
<br />-50
<br />1209.2
<br />126.20
<br />50
<br />1580.0
<br />.213.86
<br />,•-50
<br />1963.6
<br />327.1
<br />'24..
<br />1217A
<br />128.00
<br />31- '
<br />1589.0
<br />216:3
<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 />1991.5
<br />336.3
<br />30
<br />1244.0
<br />133.50
<br />1 30
<br />1615:9
<br />223.5
<br />30
<br />2000.9
<br />330.3
<br />40
<br />!1252.8
<br />135.35
<br />•,40
<br />1624.9
<br />226.0
<br />40
<br />2010.2
<br />342.4
<br />50
<br />,
<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' 7,
<br />1643.0
<br />230.9-:
<br />W-
<br />2029.0
<br />348.6
<br />-10
<br />1279.0
<br />141.01
<br />10
<br />1652.0'
<br />233.4
<br />110
<br />2038.4
<br />351.8
<br />• 20
<br />1287.7
<br />142:93
<br />26
<br />1661'.0
<br />235.9
<br />-20
<br />2047.8
<br />354.9
<br />-.30
<br />4296.5
<br />144.85
<br />=• 30
<br />1670.0
<br />238.4
<br />30
<br />2057.2
<br />358:1
<br />40
<br />4305.3 '
<br />146.79
<br />40
<br />1679.1•
<br />241.0
<br />:.:40
<br />2066.6
<br />-361.3
<br />50
<br />1314'.0
<br />148.75
<br />=• 50
<br />1688.1•
<br />243.5
<br />"-'50
<br />2076:0
<br />364.5
<br />28•'
<br />3322;8
<br />150.71
<br />:3 • -
<br />1697.2
<br />246:1•
<br />40''
<br />2085.4
<br />367:7
<br />•1-10
<br />1331.6
<br />152.69
<br />10'•
<br />1706.3
<br />248.7
<br />!••'10
<br />2094.9
<br />371.0
<br />201340.4
<br />'
<br />154.69
<br />20
<br />1715.3
<br />251.3
<br />7 20
<br />2104.3
<br />374.2
<br />1'30
<br />1349:2 ,
<br />156.70
<br />t:-430
<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 />. 380.8
<br />50
<br />1366:8
<br />160.76
<br />';•'50
<br />1742.6
<br />259.1
<br />'-••50
<br />2132.7
<br />384.1
<br />2Z_-
<br />1375.6
<br />162.81.
<br />34;•
<br />1751.7
<br />261:8
<br />41- '
<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 />1393.2
<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 />_
<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 />•-b0
<br />1419.7.
<br />173.27
<br />50,
<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 />2199.4
<br />407.8
<br />10,
<br />1437:4
<br />177.55
<br />10
<br />1815.7
<br />280.8
<br />10
<br />2209.0
<br />411.1
<br />20'
<br />1446.3
<br />170.72
<br />'--'20
<br />1824.9,
<br />283.6
<br />20
<br />2218.6
<br />414.5
<br />30'
<br />1455.1 t
<br />181.89
<br />36
<br />1834.1
<br />•286.4
<br />30
<br />2228.1
<br />418.0
<br />40'•
<br />1464.0
<br />184.08 i
<br />'' •40
<br />1843.3
<br />289.2
<br />40
<br />2237.7
<br />421.4
<br />50
<br />1472.9
<br />186.29
<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 />Inntt.e
<br />'Curve 5°
<br />10°
<br />15°
<br />20° 1
<br />250:
<br />11 30'.
<br />35°
<br />40°.
<br />45°
<br />50°
<br />55°
<br />-60°,
<br />65°
<br />70°
<br />200. .".T=.06
<br />13
<br />.19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65
<br />'.72
<br />:79-
<br />.84
<br />.90
<br />E=.006
<br />.011
<br />.017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051
<br />.057
<br />.063
<br />.070
<br />.076
<br />.083
<br />25°
<br />T=.08',
<br />.16
<br />.24
<br />.33
<br />.40
<br />.49
<br />..58
<br />.67
<br />.75
<br />.83
<br />.90
<br />.99
<br />1.06
<br />1.14
<br />E-.009
<br />.018
<br />.027
<br />'.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.083
<br />.093
<br />..106
<br />.120
<br />,.127
<br />.135
<br />300
<br />T=:10 .
<br />.19
<br />29
<br />.39
<br />.49
<br />.59
<br />.69
<br />.79
<br />".89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39 .
<br />E =.013
<br />.025
<br />.038
<br />.051
<br />.065
<br />.078
<br />.090
<br />.103
<br />.116
<br />.129
<br />.149
<br />.170
<br />.170
<br />.188
<br />35`
<br />T =:11 '
<br />.22
<br />..34
<br />.47
<br />.58
<br />.69
<br />.80
<br />.93
<br />1.05
<br />1.17
<br />1.29
<br />1.42
<br />1:54
<br />1.66
<br />.
<br />E-018
<br />.035
<br />.054
<br />.072
<br />.086
<br />.109
<br />.131
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247
<br />.264
<br />40°
<br />T=.13
<br />.26
<br />.40
<br />.53
<br />.67
<br />.80
<br />.93
<br />1.06
<br />1.20
<br />1.34 .
<br />1.49
<br />64
<br />1:29011.
<br />1:79
<br />1.94
<br />E =.023
<br />.016
<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 />•450
<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 />E=.030
<br />060
<br />.093
<br />.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.375
<br />.411
<br />.445
<br />
|