|
�I TABLE I. - Tangents and Externals to a 1° Curve. TABLE L =-Tangents and Externals to a 1° Curve. IYY
<br />Chord= 100 ft. Chord =100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int. `
<br />Angle
<br />Tangent
<br />External.
<br />Int.
<br />'Angle
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />.22
<br />8°
<br />400.66
<br />13.99
<br />16° =
<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 />" :39`
<br />20
<br />417.41':
<br />15.13.
<br />':7:20
<br />•771:,29
<br />51.68
<br />30
<br />-75.01
<br />-".49
<br />30
<br />-425:79
<br />'•15.80
<br />30 '-'779:77
<br />.007
<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 />, cx.7.3
<br />50
<br />442.55
<br />17.07
<br />50`:
<br />796.75'
<br />55.13
<br />$•:•:,
<br />.100.01
<br />.87
<br />9
<br />450.93
<br />-37.72-
<br />16
<br />805.25
<br />_56.31
<br />-57.50
<br />._10
<br />108.35
<br />1.02
<br />.10
<br />459.32'
<br />18.38
<br />10'
<br />813:75
<br />.13 .19,
<br />20
<br />116.68
<br />1.19'
<br />20
<br />467.71.
<br />19.06
<br />20
<br />822.25..
<br />58.70
<br />'30.
<br />125.02'
<br />:,;1.36,
<br />r`
<br />30 .:476.10
<br />.022
<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 />539.27
<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 />8 �-.'150:04.
<br />E =.009
<br />1.96
<br />10.
<br />501.28
<br />21:89
<br />17
<br />.856.30
<br />63.63
<br />10
<br />'458:38
<br />2.19.
<br />---101
<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 />-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 />24.91
<br />40
<br />890.41
<br />68.77
<br />60
<br />191.74
<br />3.21
<br />R -
<br />50.
<br />543.29
<br />25.70
<br />., 50,
<br />898.95
<br />70.09
<br />&
<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 />,•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 />-140
<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 />79.67
<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 />..
<br />621
<br />'` .20 -M1619.07,
<br />1715.3
<br />33.35.
<br />" '. 20'
<br />975.96
<br />82.53
<br />30
<br />275.21
<br />6.61
<br />" 0 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 />7.43.
<br />50 '
<br />644.37
<br />'36.12'
<br />-50
<br />1001.7
<br />86.90
<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 />308.64
<br />8.31
<br />10'
<br />661.25
<br />38.03
<br />10'
<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 />1402.0
<br />9.23
<br />30
<br />678.15.
<br />39.99
<br />30
<br />1036.1 _
<br />92.92
<br />40
<br />,325.35
<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 />7
<br />350.44
<br />10.71
<br />14
<br />703.51
<br />43.03
<br />21
<br />-
<br />07
<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 />- 12.29
<br />30
<br />728.90
<br />46.13
<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.
<br />Angle
<br />Curve 5°
<br />10° 15°
<br />20°
<br />25°•
<br />30°
<br />35°;,
<br />40°
<br />45° 50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />5°
<br />T=.02.03
<br />E-.000
<br />.05
<br />:000 .001
<br />.06
<br />.001
<br />.08
<br />.002
<br />.10
<br />.002
<br />.11
<br />-:002
<br />.13
<br />.003
<br />.15 .I6
<br />-.003 .004
<br />.18
<br />.004
<br />.20
<br />.004
<br />.21
<br />.005
<br />23
<br />.005
<br />297.7
<br />T-.03
<br />06 .09
<br />.13
<br />.16
<br />.19
<br />.22
<br />.25
<br />.28 '.31
<br />.34
<br />.38
<br />.42
<br />.46
<br />10°
<br />E=.001
<br />.003 .004
<br />.006
<br />.007
<br />.008
<br />.009
<br />.011
<br />.012 ':014
<br />.015
<br />.017
<br />,018
<br />.020
<br />1898.6
<br />T =.04
<br />.10 .14
<br />.19
<br />.24
<br />.29
<br />.34
<br />.39
<br />.45 .51
<br />:53
<br />.58
<br />.63
<br />.68
<br />15°
<br />E-.003
<br />.007 .010
<br />.014
<br />.018
<br />.023
<br />.027
<br />.0^_9
<br />.032 .035
<br />;.039
<br />.043
<br />.047
<br />.051
<br />10
<br />T=.06-'
<br />.13 .19,
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58 .65
<br />.72
<br />.79
<br />-.84
<br />.90
<br />ZO°
<br />E =.006
<br />.011 .017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051 .:057
<br />,063
<br />.070
<br />.076
<br />.083
<br />250
<br />T=.08
<br />.16 .24•
<br />'.33
<br />.40
<br />.49
<br />.58
<br />.67
<br />.75 .83.90
<br />213.86
<br />.99
<br />1.06
<br />11.14
<br />24
<br />E =.009
<br />.018 .027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.083 ;':093
<br />.106
<br />.120
<br />.127
<br />135
<br />' Int' .
<br />Angle
<br />Tan en'
<br />g
<br />External
<br />Int. _
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />g
<br />External
<br />92°:
<br />1113.7
<br />,107.24
<br />.29°
<br />1481.8
<br />188.51
<br />36°
<br />1861.7
<br />294.9
<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 />1139.7
<br />112.25
<br />30
<br />1508.5
<br />195.25
<br />30
<br />1889.4
<br />303.5
<br />P,'30
<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 />X23
<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 />x'20
<br />1544.2
<br />204.44
<br />10
<br />1926.4'
<br />315.2
<br />20
<br />1.183.1-
<br />120.87
<br />30°
<br />1553.1.
<br />206.77
<br />-20
<br />1935.7
<br />.318.1
<br />30
<br />1191.8
<br />-
<br />122.63-
<br />30
<br />1562.1
<br />209.12
<br />30
<br />1945.0
<br />321.1
<br />'40
<br />x1200.5
<br />124.41
<br />40
<br />1571.0
<br />211.8
<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 />1217.9
<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 />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 />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 />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 />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 />W',
<br />3322.8
<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 />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 />380.8
<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 />1375.8
<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 />1:20
<br />1393.2
<br />_
<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 />50
<br />11797.4
<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 />407.6
<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 />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 />'..4b
<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 = Exterilal.)
<br />Int.
<br />Angle
<br />Curve S°
<br />10°
<br />15°
<br />20° 25°'
<br />300
<br />350-
<br />401
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />20°
<br />T=.06
<br />.13-,
<br />.10
<br />.26 .32
<br />.39
<br />.45
<br />.51.58
<br />.65
<br />.72
<br />.79
<br />.84
<br />.90
<br />E=.000
<br />.011
<br />.017
<br />.022 .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 .40
<br />.49
<br />53
<br />.67.75
<br />.83
<br />.90
<br />.99
<br />1.06
<br />1.14
<br />E =.009•
<br />.018
<br />,027
<br />,036 .046
<br />.056
<br />.065
<br />.074
<br />.083
<br />.093
<br />.106
<br />.120
<br />.127
<br />,135
<br />30°
<br />T =.10
<br />.19
<br />29
<br />-.39 .49
<br />.59
<br />.69
<br />.79
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39
<br />B=-013
<br />.025
<br />.038
<br />.051 .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 .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 />E =.018.035
<br />.054
<br />.072 .086
<br />.109
<br />.131
<br />.153
<br />.175
<br />.197
<br />.2I3
<br />.230
<br />.247
<br />.264
<br />40°
<br />T=A3
<br />.26
<br />•40
<br />.53 .67
<br />.80
<br />.93
<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 .117
<br />.141
<br />.172
<br />.203
<br />.234
<br />265
<br />.277
<br />.290
<br />.315
<br />,341
<br />45°
<br />T=.75
<br />.30.44
<br />.60 .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 .153
<br />.134
<br />•216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />
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