|
II TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chord =100 ft.
<br />Angle
<br />Tangent
<br />External
<br />Intl,
<br />Ang1e4
<br />is
<br />Tangent
<br />: I
<br />l xterrial.
<br />�, Int:
<br />_.Angle
<br />Tangent
<br />External
<br />1°
<br />10'
<br />50,00".22-
<br />58.34
<br />70°
<br />` 8°
<br />400.66
<br />'d3 99''-
<br />15'"
<br />754.32
<br />49.44
<br />20
<br />66.67
<br />.30
<br />,;39'J
<br />10'
<br />•20
<br />409,03
<br />" 417.41
<br />14,58
<br />3 15:18
<br />10'
<br />-20
<br />762,80
<br />771.29
<br />50.55
<br />51.68
<br />30
<br />40
<br />75.01
<br />83.34
<br />:49,-•L
<br /><30'.:
<br />425,79-
<br />J 15.80
<br />-'.30
<br />779.77
<br />52.82
<br />15°
<br />91.68
<br />.61
<br />. - 73r,
<br />40
<br />434.17
<br />16.43
<br />40
<br />788.26
<br />53.97
<br />-.53 .58
<br />.039
<br />.018
<br />,63
<br />•
<br />50.
<br />..442.55
<br />17.07 .
<br />;^ 50 •
<br />. 796.75
<br />55.13
<br />„61
<br />.045
<br />.58
<br />.051
<br />.65
<br />".057
<br />.043
<br />.72 :79
<br />.063
<br />.047
<br />.84
<br />.90
<br />.083
<br />250(
<br />j
<br />T=.08 I6
<br />F=-009 ,018
<br />,24 ,
<br />.027,
<br />2
<br />10
<br />100.01
<br />108:35
<br />r,•.87
<br />1:02.
<br />.67
<br />.074
<br />.45
<br />"459:32
<br />,.17.72
<br />IG
<br />805.25.
<br />56.31 "
<br />9
<br />' -118:68
<br />? ; 1.-19
<br />10
<br />- '..20
<br />467':71
<br />18.38
<br />10
<br />813:75.
<br />'822.25
<br />57.50
<br />.730;
<br />125.02,
<br />":1 1:36 1
<br />'
<br />•30,=
<br />476.40
<br />•':19:06:
<br />, 19:75'
<br />_ 20 <
<br />30
<br />t830.7G
<br />55.70 ,
<br />59.91
<br />C •-• ,40.;'133.36,
<br />141.7075';
<br />• 1:55.`.
<br />r5 -1'
<br />_:: 40
<br />='50
<br />, 484.49
<br />`'
<br />"20.45
<br />40 ..
<br />839.27
<br />61.14
<br />40
<br />•1200.5
<br />124.41 :
<br />...40
<br />492:88,
<br />-21:16'50
<br />,
<br />847.78.
<br />62.38
<br />3
<br />' •10
<br />150.04
<br />158.38
<br />1.06
<br />2,19
<br />10
<br />501:28
<br />21:89
<br />17 " ,
<br />,856:30
<br />63.63.
<br />20
<br />166.72
<br />2.43
<br />10
<br />20
<br />'509.68
<br />518.08
<br />22:62
<br />., 2328,
<br />10
<br />:"': 20
<br />864:82
<br />873.35.
<br />64.90
<br />66.18'
<br />30
<br />40
<br />175.06
<br />183.40
<br />2.67
<br />2.93
<br />30,
<br />526.48..
<br />24.14
<br />30
<br />_
<br />881.88
<br />67.47
<br />50
<br />9l. 191. 74
<br />3.21
<br />40-:.
<br />50
<br />534:89
<br />543.29
<br />.v 24.91
<br />25.70
<br />40
<br />890.41
<br />68.77
<br />1.20
<br />r '
<br />�.
<br />30
<br />3615.9
<br />223.5
<br />50
<br />898.95
<br />70.09
<br />4
<br />10
<br />200:08
<br />208.43
<br />iy 3:49 `
<br />3.79
<br />^ i1
<br />551 A0=
<br />M50 50
<br />18
<br />1907.49
<br />71.42
<br />20
<br />216.77
<br />_.
<br />' 4:10
<br />10
<br />20
<br />560.11
<br />568.53
<br />27.31
<br />28.14
<br />.10 ..916'.03
<br />.2019.6,
<br />72.76
<br />30
<br />225.12
<br />442
<br />:;300
<br />, 576.95
<br />28.97
<br />20
<br />30.
<br />924.58
<br />933.13
<br />74.12
<br />75.49
<br />40
<br />50
<br />233.47
<br />241.81
<br />4.76,
<br />5.10'
<br />40,
<br />'585:36,
<br />29':82
<br />40
<br />941.69
<br />76.86
<br />20
<br />1287:7
<br />142.93 ,
<br />50'
<br />593.79
<br />30.68
<br />50
<br />950.25
<br />78.26
<br />5
<br />10
<br />250.16
<br />258.51
<br />5.46
<br />5.83
<br />12;!,,'
<br />10
<br />1602:21
<br />$1'.56
<br />19
<br />958.81
<br />79.67
<br />20
<br />275.86•:
<br />' 6.21
<br />20
<br />610.64
<br />619.07
<br />32.45
<br />33:35
<br />10
<br />967.38'
<br />'975.96
<br />81.09
<br />30
<br />40
<br />275.21
<br />283.57
<br />6:61
<br />" "7:01'
<br />,
<br />30
<br />',
<br />..627.50
<br />., 34.26
<br />20
<br />30 .
<br />984.53
<br />82.53
<br />83:97
<br />50
<br />291.92
<br />...7.43..
<br />40
<br />50
<br />635.93
<br />'35.18
<br />36.12
<br />40
<br />993.12
<br />85.43
<br />"10
<br />1331.6
<br />152.69
<br />r 10
<br />..644.37
<br />248:7
<br />50
<br />1001.7
<br />86.90
<br />6
<br />10
<br />300.28:
<br />305:64'=:'
<br />7.86
<br />8.31
<br />13
<br />10•
<br />652.81
<br />37.07,
<br />20 -
<br />1010.3.
<br />88.39
<br />20
<br />': 316.99;
<br />8.76
<br />20
<br />661.25
<br />38.03
<br />39.01
<br />10
<br />20
<br />1018:9
<br />89.89
<br />30
<br />40
<br />_:333325.35
<br />:71
<br />9.23
<br />9.71
<br />30'
<br />.669.70
<br />678.15.
<br />39.99
<br />30
<br />.1027.5
<br />1036:1 ,
<br />91.40
<br />92.92
<br />.
<br />50 ''842:08
<br />1366.8
<br />-:-
<br />10.20
<br />40..
<br />-'"50•
<br />686.60,
<br />695.06
<br />40.99-
<br />42.00;:
<br />40
<br />50
<br />'1044,7
<br />94.46
<br />27..
<br />1375.6
<br />162.81
<br />34"='' '
<br />1751.7
<br />261:8
<br />_ .
<br />1053.3
<br />96.01
<br />7
<br />10 ,,,'358.81'1
<br />-350.44.
<br />10.71
<br />11.22
<br />14
<br />10"'
<br />703.51'
<br />711.97
<br />','43,03
<br />21
<br />1061.9
<br />97.57
<br />20
<br />30 '875.54
<br />367,.17.
<br />11.75
<br />""" 20 '
<br />,720.44
<br />`728,90
<br />. 44.07
<br />45.12
<br />10
<br />20.,
<br />1070.6
<br />1079.2
<br />99.16
<br />40
<br />.'"
<br />383.91
<br />1229_;
<br />12.85
<br />30
<br />40
<br />1779.1
<br />.46.18.
<br />x`30
<br />„•100.75
<br />1087.8
<br />102.35
<br />50
<br />392.28
<br />13.41
<br />50
<br />,737:37
<br />745,85
<br />,47.25,
<br />48.34
<br />40
<br />50
<br />1096.4
<br />103.97
<br />150
<br />1419.7
<br />173.27
<br />:;.:50
<br />1797.4
<br />275.3
<br />.'.50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T =Tangent. E = External.)
<br />Int.
<br />Angle
<br />Curve 5° 10°
<br />15°
<br />20°'
<br />'25° 30°,
<br />35°_
<br />40°
<br />45°
<br />50°
<br />55° 60°
<br />65°
<br />70°
<br />5°
<br />T=:02 .03
<br />E=,000 .000
<br />.05
<br />.001
<br />.06
<br />,001
<br />.08.10,
<br />.002 .002
<br />,.003
<br />.11
<br />.002
<br />.13,
<br />.15
<br />.003
<br />.16
<br />.004
<br />.18 .20
<br />.004
<br />.21
<br />.23
<br />10°
<br />T=.03 .06
<br />F=-001 .003
<br />.09,,;]3
<br />.004
<br />.006
<br />.16 .19
<br />.007 .008
<br />.22
<br />".009
<br />.25
<br />.011
<br />.28
<br />.012'.014
<br />---
<br />.31
<br />.004
<br />.34 x.38
<br />.015 .017
<br />,005
<br />,42
<br />,005
<br />.46
<br />.020
<br />15°
<br />T =.04 .10'
<br />E =.003_ !007
<br />.14
<br />.010
<br />.19
<br />.014
<br />.24 .29
<br />.018 .023
<br />.34
<br />.027
<br />.39
<br />.029
<br />.45
<br />.032
<br />.51
<br />.035
<br />-.53 .58
<br />.039
<br />.018
<br />,63
<br />.68
<br />.051
<br />i'40
<br />T=.08' 13
<br />E=`.006 .011
<br />.19
<br />.017
<br />.28
<br />.022
<br />:32 .39
<br />.028 .034
<br />.45
<br />.038
<br />„61
<br />.045
<br />.58
<br />.051
<br />.65
<br />".057
<br />.043
<br />.72 :79
<br />.063
<br />.047
<br />.84
<br />.90
<br />.083
<br />250(
<br />j
<br />T=.08 I6
<br />F=-009 ,018
<br />,24 ,
<br />.027,
<br />.33
<br />.036
<br />.40 .49
<br />.046 .056
<br />.58
<br />.085
<br />.67
<br />.074
<br />.75
<br />.083,
<br />:.83
<br />.093
<br />.070
<br />.90 .99
<br />.106 .120
<br />..076
<br />1.06
<br />.127
<br />1.14
<br />.135
<br />TAnr 1 =I: Tangents acid :Externals _ta a-1":Curve:: IIT
<br />Chord =100 £t: "
<br />Int."
<br />_"Ankle.,
<br />Tangent
<br />External;
<br />Int.
<br />:Angle:"'
<br />Tangent
<br />External'
<br />Int.
<br />Angle,,
<br />Tangent
<br />External
<br />22"-�
<br />:111317;
<br />10724
<br />:29" -
<br />1481.8
<br />188.51
<br />36°=:
<br />1861:7
<br />294.9
<br />10f :
<br />':1122:'4
<br />`108.90
<br />-10'
<br />•1490.7
<br />190.74
<br />.. 10'
<br />1870.9
<br />297.7
<br />20 i<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 4
<br />1139.7
<br />112.25
<br />30 :1508:5
<br />,057
<br />195.25
<br />'. 30
<br />1889.4
<br />303.5
<br />25°
<br />1.1148:4'
<br />113:95
<br />i'40
<br />•15174
<br />197.53
<br />"A0
<br />•1898.6
<br />.306.4
<br />_'50
<br />A157.0:
<br />115.66 '
<br />..=50
<br />1526.3
<br />199.82
<br />_ C:50 i
<br />.1907.9
<br />.309.3
<br />23+'
<br />1165:7.
<br />117:38
<br />30` '1535'.3
<br />.065
<br />202.12
<br />17
<br />-1917.1
<br />312:2
<br />1.1',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 />r1183.1'.
<br />120.87
<br />1 ";20
<br />1553.1
<br />206.77
<br />';.120
<br />+1935.7'
<br />318.1
<br />.30
<br />1191,8
<br />122.63
<br />x.:30
<br />1562.1
<br />209.12 '
<br />'1.u30
<br />:1945.0'
<br />.321.1
<br />40
<br />•1200.5
<br />124.41 :
<br />...40
<br />1571.0.
<br />211;48 1
<br />x.%:40 •
<br />,1954.3
<br />'.324.1
<br />50
<br />1209.2
<br />126.20
<br />:.:.50 y'1580.0
<br />.80.93
<br />213.86 1
<br />C.:-50
<br />c1963.6
<br />327.1
<br />724:'
<br />1217.9
<br />128.00
<br />31-
<br />3589:0
<br />216:3 '"
<br />38 :'•
<br />1972.9'
<br />330.2
<br />0
<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 />1.20
<br />1244.0
<br />133.50
<br />30
<br />3615.9
<br />223.5
<br />30
<br />2000:9'
<br />:339.3
<br />:..:,30
<br />40
<br />,1252.8
<br />135.35
<br />.40
<br />3G24.9
<br />226.0 ',
<br /><.' 40
<br />2010.2
<br />1342.4
<br />50
<br />1261:5.
<br />137.23 +
<br />'.'50
<br />1633.9
<br />228.4
<br />: 50
<br />.2019.6,
<br />t345.5
<br />r
<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 />.45°
<br />3279.0'
<br />141.01
<br />-.410
<br />1652.0
<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 />2047x8
<br />"354.9
<br />130
<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 />40
<br />2066.8
<br />361.3
<br />"50
<br />'1314.0.
<br />148.75
<br />".'50
<br />1688.1
<br />243.5
<br />r.^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 />r 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 1
<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 />27..
<br />1375.6
<br />162.81
<br />34"='' '
<br />1751.7
<br />261:8
<br />41 '.
<br />2142:2
<br />387e4.
<br />10
<br />1384.4
<br />164.86
<br />10
<br />17G0.8
<br />264.5
<br />10.
<br />2151:7.
<br />•'390.7
<br />20
<br />1393'.2 ;
<br />1G6.95
<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 />150
<br />1419.7
<br />173.27
<br />:;.:50
<br />1797.4
<br />275.3
<br />.'.50
<br />2189..9
<br />404.2
<br />48''<' •+
<br />1428:6
<br />175.41
<br />35
<br />1806.6
<br />278.1
<br />42-
<br />2199:4
<br />: 40776
<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 />i 2218.6'
<br />:414.5
<br />'30
<br />1455.1 •
<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 />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=Taiigeilt. E;=External);
<br />Int,
<br />Angle
<br />Curve_5°
<br />_
<br />10°
<br />15°
<br />20°
<br />25°.
<br />30°
<br />.35°
<br />•40°
<br />.45°.
<br />50'
<br />55°
<br />60°.
<br />650
<br />70°
<br />200
<br />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 />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 />35°
<br />T=.11
<br />.22
<br />..34
<br />'.47
<br />,58
<br />.69
<br />.80.93
<br />1.05
<br />1.17
<br />1.29
<br />1.42
<br />1.54
<br />1.66 "
<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 />406.,-T=.13.26
<br />.40
<br />.53
<br />.67
<br />.80
<br />.03
<br />1.06
<br />1.20
<br />1.34
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />E =.023
<br />.046
<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 />T=:15'
<br />.30
<br />4460
<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 />.45°
<br />E=.030
<br />.060
<br />.093
<br />,119
<br />,153
<br />•184
<br />:216
<br />.254
<br />289
<br />.325.351
<br />.378
<br />.411
<br />`.445
<br />4
<br />
|