|
II TABLE I. - Tangents and Externals to a V Curve.
<br />Chord= 100 ft.
<br />Int.
<br />Tangent
<br />External
<br />'Angie.
<br />Tangent
<br />External
<br />-Angle
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />.22
<br />8°•
<br />400.66
<br />13.99
<br />" 150
<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 />.W l
<br />- '•20,
<br />417.41-.
<br />15.18
<br />'20
<br />771.29
<br />51.68
<br />30 .
<br />75.01
<br />.49
<br />30 :..425.79
<br />1508:5
<br />a 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 />50
<br />91.68
<br />... +.73
<br />;, •50 -
<br />442.55.
<br />f 417.07.
<br />;50 "
<br />796.75'
<br />. 55.13
<br />2 V -
<br />' 100.01.
<br />,_ _:87:,
<br />= 9'. "
<br />450.93
<br />17.72 -
<br />16 �
<br />.805.25
<br />56:31
<br />10
<br />,108:35
<br />"1'.02
<br />10
<br />459.32
<br />18.38
<br />10
<br />813:75`
<br />57.50"
<br />20
<br />110.68
<br />-'1.19
<br />20.
<br />-467..71
<br />19.OG.
<br />20-`-822.25-
<br />:.076
<br />•58.70
<br />..30-,
<br />125.02,
<br />• 1.36,
<br />' .-'30j'
<br />'476.10-;
<br />19.75•-:';
<br />30.
<br />830:761'
<br />1.027
<br />40.
<br />.133.36
<br />.-' 1:55 '
<br />140 ,
<br />484.49-
<br />. 20.45,
<br />- 40
<br />839.27-,
<br />_59.91
<br />61.14
<br />50
<br />'141.70_
<br />1.75
<br />;50 ;
<br />-492.88
<br />'. 21.16'
<br />' 50
<br />847.78::'
<br />62:38.
<br />'24'a
<br />1217.9
<br />128.00
<br />31'"
<br />1589:0
<br />216:3
<br />38:-
<br />1072:9
<br />330:2
<br />l '"3
<br />150'.04
<br />1.96
<br />- 10.' + ..
<br />501:28
<br />21.89 -
<br />17
<br />856 30"
<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 />873.35'.
<br />' 566.18
<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 />1'534.89
<br />., 24.91
<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 />4
<br />=200.08
<br />: ` 349
<br />11
<br />=551.70'
<br />`•26:50
<br />48
<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 />'�t30
<br />' 576.95
<br />28:97'
<br />30j
<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 />x.31:56
<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 />266.85''
<br />`:6.21 "
<br />120
<br />7619.07
<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 />35.18''
<br />40 '
<br />'993.12
<br />85.43
<br />50
<br />291:92.
<br />.7,.431
<br />.;+.50
<br />644.37
<br />36.12
<br />50
<br />1001.7
<br />86.90
<br />10
<br />1384.4 ,
<br />104.86
<br />...10
<br />1760.8
<br />264.5
<br />- 10 10
<br />2151:7
<br />'390.7
<br />6
<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 />908:6T
<br />8.31
<br />-10
<br />661.25
<br />38.03
<br />- 30-
<br />1018.9
<br />89.89
<br />20
<br />'316.99.
<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 />1036:1.,
<br />92.92
<br />40
<br />7333:71".:"
<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 />60
<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 />,,.10-711.97
<br />1834.1
<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..-•12:29,
<br />186.29
<br />30.
<br />728:90
<br />46:18'
<br />_
<br />..' _30
<br />1087:8
<br />-.102.35
<br />40
<br />333.91
<br />12:851
<br />40
<br />737.37
<br />47.25"
<br />40
<br />1096.4
<br />103.97
<br />50
<br />392.28
<br />13.41 j
<br />50
<br />745.85 11
<br />_
<br />4834
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T =Tangent. E = External.)
<br />Int.
<br />Angle
<br />Curve 5°
<br />10°
<br />150 200
<br />35°
<br />'25° 30°' r,
<br />1. 40°
<br />45° 500
<br />550 1 600
<br />65°
<br />11 700
<br />5o
<br />T=:02
<br />.03
<br />.05 .06t
<br />.08 .10 -.11
<br />.13,
<br />.15 .16
<br />.18 .20
<br />.21
<br />.23
<br />108.90
<br />E=.000
<br />.000
<br />.001 .001
<br />'.002,<.002 _.002
<br />,.003
<br />..003 .004
<br />.004 .004
<br />.005
<br />.005
<br />10°
<br />T=.03
<br />.06
<br />.09 ,::13-
<br />.16 .19 .22
<br />.25
<br />':28 •..31
<br />.34 .38
<br />:42
<br />.46
<br />1508:5
<br />E =.001
<br />.003
<br />.004 .000
<br />.007..008 ,.009
<br />.011
<br />.012 .014
<br />.015 .017
<br />.018
<br />.020
<br />15o
<br />T=.04
<br />.10'.
<br />.14 .19
<br />.24 .29 .34
<br />.39
<br />.45 .51 :..53
<br />.58
<br />.63
<br />.68
<br />..50
<br />E =.003
<br />" +:007
<br />'.010 .014
<br />.018 .023 .027
<br />.029
<br />.032 .035'.039
<br />.043
<br />.047
<br />.051
<br />20-
<br />T=.06-
<br />.13
<br />.19 .26
<br />.32 .39 .45
<br />.51
<br />.58 .65
<br />.72 .79
<br />.84
<br />.90
<br />1
<br />.20
<br />.011
<br />.017 .022
<br />.028 .034 .038
<br />.045
<br />.051 .057
<br />.063 .070
<br />:.076
<br />.083
<br />25°
<br />1191.8
<br />122.63
<br />30
<br />1562:1'
<br />209.12
<br />30
<br />.1945:0
<br />1.027
<br />14
<br />1.135
<br />1200.5
<br />E =.009
<br />01iB
<br />.027 :036
<br />-.046 056 65
<br />074
<br />.083 1.093
<br />.105 120
<br />,'50
<br />'1209.2
<br />,TABLE =L- Tangents and. Externals to a 1°,.Curv_e.< III
<br />Chord =.100 f t:. '
<br />Ando-;
<br />Tangent
<br />External
<br />Angje. -
<br />Tangent
<br />External
<br />Anile `
<br />Tangent,
<br />External
<br />:229-
<br />1113.7
<br />107.:24
<br />;29°.
<br />1481.8
<br />188.51
<br />:3G°.
<br />1861:7
<br />294:9
<br />10,:
<br />.1122.4
<br />108.90
<br />10'
<br />1490:7
<br />190:74
<br />l0'
<br />1870.9
<br />297.7
<br />20 '.1131.0'
<br />.84
<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 />L>. 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 />15263
<br />199.82:
<br />..50
<br />1907:9
<br />.309.3
<br />43 •
<br />1165.7
<br />117.38
<br />30
<br />1535.3
<br />202.12 '
<br />37
<br />1917.1
<br />312.2
<br />.:.10
<br />1174:4
<br />119.12
<br />10
<br />1544:2
<br />204.44 t
<br />10
<br />4926'.4
<br />315.2
<br />.20
<br />1183.1
<br />120.87
<br />%20
<br />1553.1 "
<br />206.77.!
<br />'"20
<br />3935.7
<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 !',,^,.;40
<br />.170
<br />1571.0
<br />211.48
<br />40
<br />1954.3
<br />324.1
<br />,'50
<br />'1209.2
<br />126.20 t
<br />`:450
<br />1580:0
<br />213.86
<br />50
<br />1963:6'
<br />327.1
<br />'24'a
<br />1217.9
<br />128.00
<br />31'"
<br />1589:0
<br />216:3
<br />38:-
<br />1072:9
<br />330:2
<br />1;..'10
<br />1226.6
<br />129.82 i
<br />•. 10
<br />1598.0
<br />218.7
<br />10
<br />1982.2
<br />.333.2
<br />t' CM '
<br />'1235.3
<br />131.65
<br />:20
<br />1606.9
<br />221.1
<br />20
<br />1991.5
<br />336.3
<br />t-30
<br />'1244.0
<br />133.50
<br />30 '!
<br />1615.9
<br />223.5
<br />30
<br />2000.9
<br />'339.3
<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 />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 />230.9
<br />39 -
<br />2029.0
<br />348:6
<br />.'10
<br />1279.0
<br />141.01
<br />..'10
<br />1G52.0
<br />233.4
<br />10
<br />2038'.4
<br />351,8
<br />20
<br />1287.7
<br />142.93.'
<br />..'20 .•
<br />1661:0
<br />235.9
<br />20
<br />2047.8,
<br />{354.9
<br />30
<br />1296.5
<br />144.85
<br />30
<br />1670.0
<br />238.4
<br />30
<br />2057.2 ;
<br />'358.1
<br />40
<br />1305:3
<br />146.79
<br />'.`40
<br />1679:1.
<br />241.0
<br />t 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 />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 />1331.6
<br />152:69
<br />10
<br />1700.3
<br />248:7
<br />10
<br />2094.9
<br />.371.0
<br />-1.,,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 />c'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 />t'..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 />261:8
<br />41
<br />2142.2
<br />387.4.
<br />10
<br />1384.4 ,
<br />104.86
<br />...10
<br />1760.8
<br />264.5
<br />- 10 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 />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 />Z-50
<br />1419.7:
<br />173.27
<br />:.:50' i
<br />1797.4'
<br />275.3
<br />.50
<br />2189.9
<br />'404.2
<br />28
<br />1428.6 !
<br />175.41
<br />35... i
<br />1806.6
<br />278 .1,
<br />42
<br />2199.4
<br />407.6
<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 />179.72
<br />20
<br />1824.9
<br />283:6 '
<br />'..20
<br />2218.6
<br />'414.5
<br />30'
<br />•1456.1 +
<br />181.89
<br />30
<br />1834.1
<br />286.4
<br />30
<br />2228.1.
<br />418.0
<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 />-t..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 />Int..',
<br />Angle
<br />Curve 5°
<br />10°
<br />15°`
<br />20°
<br />25'
<br />30°
<br />35°
<br />400'
<br />450
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°.
<br />' 20°,
<br />..-T=.06.
<br />.13"
<br />.19
<br />.26 ..32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65
<br />.72
<br />.79
<br />.84
<br />.90'
<br />E=.006
<br />.011..017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051
<br />.057
<br />.063
<br />.070
<br />.076
<br />.083
<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 />.018
<br />.027
<br />.036
<br />.016
<br />.056
<br />.035
<br />.074
<br />.083
<br />.093
<br />.106
<br />.120
<br />.127
<br />.135
<br />•300,E=.009
<br />` T=.10 '
<br />.19
<br />.29
<br />.39
<br />.40
<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 />.179
<br />.188
<br />350
<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 />*166
<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 />40o '
<br />T=.13
<br />.26
<br />.40
<br />.53
<br />.67
<br />.80
<br />.93
<br />1.08
<br />1.20
<br />1.34
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />l
<br />E =.023
<br />.616
<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 />.378
<br />.411
<br />.441
<br />
|