|
30
<br />40
<br />50
<br />TABLE I. Tangents and Externals to a 1° Curve:
<br />011-rl=100 ft.
<br />External
<br />49.44
<br />50.55
<br />51.68
<br />52.82
<br />53.97
<br />55.13
<br />56.31
<br />57.50
<br />58.70
<br />59.91
<br />61.14
<br />62.38
<br />G3.63
<br />64.90
<br />66.18
<br />67.47
<br />6S. Z7
<br />70.09
<br />i 71.42
<br />{ 72.76
<br />1 74.12
<br />75.49
<br />76.56
<br />75.26
<br />1 79.67
<br />8 81.09
<br />6 52,53
<br />3 83.97
<br />2 85.43
<br />56.90
<br />1 85.39
<br />9 S9.8D
<br />5 . 91.40
<br />1 .92.92
<br />7 94.46_
<br />3 90.01
<br />0* 97.57
<br />6 99.10
<br />2. 1()0.75
<br />.8 103.35
<br />.4 103.97
<br />1 105.60
<br />,TXBr.E I.,= Tangents and Externals to a 1° Curve. III
<br />Chord =1004 t.
<br />Int.:•_
<br />Angle "
<br />II
<br />�'
<br />Int•'
<br />-Angle
<br />4
<br />Int. Ti
<br />Angle
<br />Int'
<br />Angle
<br />Tangent
<br />:j°.10'A
<br />A
<br />1113.7
<br />107.24
<br />29°"
<br />•1481:8
<br />K 20
<br />361
<br />I,
<br />x_30 '
<br />1W
<br />40
<br />{ `
<br />- 150:
<br />1490.7
<br />'190.74
<br />2
<br />1870.9
<br />.297,7
<br />10
<br />1131.0
<br />20
<br />.' 20
<br />30
<br />192.99
<br />40•
<br />.1880.1
<br />300.6
<br />50.
<br />- 1139.7
<br />112.25
<br />30
<br />-1508,.5
<br />195,25,
<br />10
<br />1889.4
<br />303.5
<br />20
<br />30
<br />1148.4
<br />40
<br />- 40
<br />50
<br />192.58'
<br />40
<br />,I
<br />10
<br />t
<br />20
<br />7
<br />�30. .
<br />1526.3
<br />40
<br />50
<br />50,
<br />z.
<br />5 10
<br />.036
<br />117.38
<br />20
<br />1535 i3
<br />202:72 'I
<br />30
<br />1917:1
<br />312.2
<br />40
<br />j
<br />�I'
<br />50
<br />t
<br />6
<br />204.44
<br />10
<br />1926.4
<br />20
<br />20
<br />30
<br />JfC a�y
<br />40'
<br />50
<br />1,553.1
<br />206.77,
<br />E �I
<br />7
<br />318.1
<br />10
<br />I . 1•
<br />20
<br />30
<br />40
<br />50
<br />TABLE I. Tangents and Externals to a 1° Curve:
<br />011-rl=100 ft.
<br />External
<br />49.44
<br />50.55
<br />51.68
<br />52.82
<br />53.97
<br />55.13
<br />56.31
<br />57.50
<br />58.70
<br />59.91
<br />61.14
<br />62.38
<br />G3.63
<br />64.90
<br />66.18
<br />67.47
<br />6S. Z7
<br />70.09
<br />i 71.42
<br />{ 72.76
<br />1 74.12
<br />75.49
<br />76.56
<br />75.26
<br />1 79.67
<br />8 81.09
<br />6 52,53
<br />3 83.97
<br />2 85.43
<br />56.90
<br />1 85.39
<br />9 S9.8D
<br />5 . 91.40
<br />1 .92.92
<br />7 94.46_
<br />3 90.01
<br />0* 97.57
<br />6 99.10
<br />2. 1()0.75
<br />.8 103.35
<br />.4 103.97
<br />1 105.60
<br />,TXBr.E I.,= Tangents and Externals to a 1° Curve. III
<br />Chord =1004 t.
<br />Int.:•_
<br />Angle "
<br />Tangent
<br />External
<br />Int•'
<br />-Angle
<br />Tangent
<br />Ea#ernal
<br />Int'
<br />Angle
<br />Tangent
<br />External
<br />22°
<br />1113.7
<br />107.24
<br />29°"
<br />•1481:8
<br />188.51'
<br />361
<br />1861:7
<br />204.9
<br />1W
<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.G
<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 />192.58'
<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 />ta1165.7
<br />.036
<br />117.38
<br />30 ;`
<br />1535 i3
<br />202:72 'I
<br />37 -
<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 />1,553.1
<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 />no,
<br />1945.0
<br />321.1
<br />40
<br />1200.6
<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 />120.20
<br />50
<br />1580.0
<br />213.66
<br />50
<br />1963.6
<br />327.1
<br />24 -
<br />1217:9
<br />128.00
<br />31:"
<br />15S9.0'
<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 />215.7
<br />10 '
<br />1982.2
<br />333.2
<br />20
<br />1235.3
<br />131 65
<br />20
<br />-1606.9-
<br />221.L
<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 />.1252:8135.35
<br />.117
<br />40
<br />1624.9
<br />226.0
<br />40
<br />2010.2
<br />342.4
<br />50
<br />'
<br />,•1261.5-
<br />13.7.23
<br />50
<br />16433.9
<br />228.4'
<br />50
<br />'
<br />2019.6
<br />345,5
<br />25
<br />1270.2
<br />139:11
<br />32-
<br />1643:0-
<br />230:0
<br />Sol,
<br />I
<br />,2029:0
<br />348:6
<br />10
<br />'1279.0
<br />141:0[
<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 />235:0,
<br />" ' 20
<br />2047.8
<br />'354.9
<br />30
<br />1296.5
<br />144.854•
<br />30
<br />1670.0
<br />238.4 ,
<br />_' 30 :
<br />2057.2
<br />1-358.1-
<br />.358:1'
<br />40
<br />-
<br />1305.3
<br />146.79'
<br />40
<br />'1679.1
<br />241.0 '
<br />,.40 1
<br />.2066.6
<br />361.3
<br />'50
<br />1314.0
<br />14S.75
<br />50 ..1688.1
<br />243.5.
<br />,1 .50 '
<br />-2076'0
<br />' 364.5
<br />26.
<br />1322.8
<br />150.71
<br />33
<br />1097.2
<br />246.1.
<br />.40 '
<br />2085:4
<br />367.7
<br />10
<br />1331. G',
<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 />2.53.0:
<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 />1375:6
<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 />364.86
<br />10
<br />1760.8
<br />264.5
<br />10
<br />21.,1.7
<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 />169.01
<br />30,
<br />1779.,1
<br />209.9
<br />',30
<br />2170:8
<br />397.4
<br />40
<br />1410.,9
<br />171.15
<br />40
<br />1785.2
<br />:272.6 S
<br />. '40 '
<br />,2180.3
<br />400.8
<br />50
<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 />180G.6
<br />275.1
<br />42
<br />2199,4
<br />407.6
<br />10 .
<br />1437.4
<br />177.55
<br />10
<br />1815.7_
<br />280.3
<br />10
<br />2209.0
<br />411.1
<br />20
<br />-1446.3
<br />179.72
<br />20
<br />1824.9
<br />253.6
<br />20
<br />2218.6
<br />414.5
<br />'30
<br />1455.1
<br />1S 1. 89 }
<br />30
<br />1834.1
<br />2S6.4
<br />30
<br />2228.1
<br />418.0
<br />40
<br />1464.0
<br />184.OS
<br />40
<br />1343.3
<br />259.2
<br />40
<br />2237.7
<br />421.4
<br />50
<br />1472.9
<br />130.20
<br />50
<br />1552.5
<br />1 292.0
<br />50
<br />1 2247.3
<br />425.0
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Curve 5° 110° 15° 2D° , 25° 30'`235° 40° 45° 50° 550 60° 65° 70° i
<br />nn 2t :3 '
<br />5°
<br />F
<br />10° T=.03
<br />R=.001
<br />15° 'r =.0
<br />E=.0(43
<br />20° T=.06
<br />E=.000
<br />25° T=.08
<br />E =.009
<br />58 67 .75 .33 .90
<br />.065 .074 .083 .093 .106
<br />Corrections to be Added (T =Tangent. E = External.)
<br />lnt:
<br />C"7!5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />1 40° 1
<br />45°
<br />50°
<br />1 55°
<br />60°
<br />1 65°
<br />70-
<br />20-
<br />T =.06
<br />.13
<br />-.19
<br />.20
<br />.32
<br />.39
<br />.45
<br />.51
<br />..53
<br />.65
<br />.72
<br />.79
<br />.84
<br />.90
<br />r=.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 />25o
<br />T=.3..
<br />.16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.58
<br />.67
<br />.75
<br />.83
<br />.90
<br />.99
<br />1_05
<br />1.14
<br />E =.609
<br />.018
<br />.027
<br />.036
<br />.016
<br />.056
<br />:065
<br />.074
<br />.083
<br />.093
<br />.105
<br />.120
<br />..127
<br />.135
<br />130°:.
<br />T=:10
<br />.19
<br />.29
<br />.39
<br />.49
<br />.59
<br />.60
<br />.79(
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39
<br />-_
<br />E=.013
<br />.025
<br />•.038
<br />_.051
<br />.065
<br />.078
<br />.090
<br />.1031
<br />.116
<br />.129
<br />.149
<br />.170
<br />.179
<br />.18$
<br />,ap
<br />T=:11
<br />.22
<br />34
<br />.47
<br />.53
<br />.69
<br />.80
<br />93
<br />L05
<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 />.163
<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 />.SO
<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
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />.277
<br />.290
<br />.315
<br />.341
<br />X45°'
<br />1..116
<br />1.254
<br />7
<br />1389
<br />1.521.301
<br />1.3.01
<br />2
<br />2 -91
<br />E=.030
<br />060
<br />.093
<br />.119
<br />.153
<br />.184
<br />,.325
<br />78
<br />411
<br />445
<br />
|