|
TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chnrri =1 nn f t _
<br />Int.
<br />-Angle
<br />Tangent
<br />.._
<br />External
<br />• Int:
<br />- Angle
<br />I Tangent
<br />z -.
<br />External
<br />"
<br />Angle
<br />-
<br />Tangent
<br />-
<br />External
<br />1°
<br />50:00
<br />.22
<br />8°
<br />400.60
<br />13.99
<br />16°
<br />754.32
<br />49.44
<br />,08
<br />5SA4
<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 />15.18
<br />20
<br />771.29
<br />51.68
<br />30
<br />'75.01
<br />.49
<br />30
<br />425.79
<br />15.80
<br />30
<br />' 779.77
<br />.
<br />52.82
<br />40
<br />83.34
<br />' :6r
<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 />17.07
<br />.50
<br />796.75
<br />.;55.13
<br />2
<br />100.01
<br />;S7
<br />9
<br />450.93
<br />17.72
<br />16
<br />805.25
<br />56,31
<br />10
<br />1108.35
<br />1.02'
<br />10
<br />459.32
<br />18.38
<br />10
<br />813.75
<br />57.50
<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 />40
<br />125.02
<br />133.36
<br />_ 1.36
<br />30
<br />476.10
<br />19.75
<br />- 30
<br />530.76
<br />59.01
<br />.
<br />,19
<br />1.55
<br />40
<br />4S4.49
<br />20.45
<br />40
<br />839.27
<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 />3
<br />150.04.
<br />1.96
<br />10
<br />501.28
<br />21.59
<br />17
<br />556.30
<br />63,63
<br />10
<br />158.38
<br />2.19
<br />• 10
<br />509.65
<br />22.62
<br />10
<br />564.82
<br />64.90
<br />20
<br />166.72
<br />2.43
<br />20
<br />518.05
<br />. 23.38
<br />20
<br />S73.35
<br />66.18
<br />30
<br />175.06
<br />2.67
<br />30
<br />526.45
<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 />50
<br />191.74
<br />3.21
<br />50
<br />543.29
<br />'25.70
<br />50
<br />895.95
<br />70.09
<br />4
<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 />40
<br />941.69
<br />361'.3
<br />50
<br />i�
<br />241.81
<br />5.10
<br />50
<br />593.79
<br />30.68
<br />50
<br />950.25
<br />.'76.56
<br />78.26
<br />b
<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 />2094.9
<br />81.09
<br />20
<br />266.86
<br />•. 6.21
<br />20
<br />619.07
<br />33.35
<br />20
<br />.967.35
<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 />291.02
<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 />S.70
<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 />675.15
<br />39.99
<br />30
<br />1036.1
<br />92.92
<br />40
<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 />342.05
<br />10.20
<br />50
<br />695.06
<br />42.00
<br />50
<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 />35S.fi1'
<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 />37:1.54
<br />12.29
<br />30
<br />'725.90
<br />46.15
<br />30
<br />1057.8
<br />103.35
<br />40
<br />353.91
<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 IT =Tangent. E=External.)
<br />Int.
<br />Angle -Curse 5o
<br />10 0
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />'65°
<br />70°
<br />5o T=.02
<br />.03
<br />05
<br />.06
<br />,08
<br />.10
<br />.11
<br />.13
<br />.15
<br />.16
<br />.18
<br />00
<br />31
<br />.23
<br />E =.000
<br />,000
<br />.001
<br />.001
<br />.002
<br />.002
<br />.002
<br />.003
<br />•003
<br />.004
<br />,004
<br />.004
<br />.005
<br />.005
<br />loo T =.03
<br />.96
<br />,09
<br />.13
<br />16'
<br />.19
<br />.22
<br />.25
<br />.28
<br />40
<br />1898.6
<br />306.4
<br />50
<br />11157.0
<br />E =.001
<br />.003
<br />.004
<br />.006
<br />.007
<br />.006
<br />.009
<br />.011
<br />.012
<br />.31
<br />.014
<br />.34
<br />,015
<br />.38
<br />.017
<br />.42
<br />.018
<br />.46
<br />.020
<br />150 T=•04
<br />.10
<br />,14
<br />.19
<br />.24-
<br />:29
<br />.34
<br />.39
<br />.45
<br />1926.4
<br />'315.2
<br />20';.1183.1
<br />.120
<br />120.87
<br />E =.003
<br />.007
<br />.010
<br />.014
<br />.018
<br />-.023
<br />.027
<br />.029
<br />.032
<br />.51
<br />.035
<br />,53
<br />,039
<br />,58
<br />.043
<br />.G3
<br />.047
<br />.68
<br />.051
<br />200. T=.06-
<br />.13
<br />,19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58
<br />324.1
<br />50
<br />1209.2
<br />126.20
<br />50
<br />L=.006
<br />_f=_0
<br />.011
<br />,017
<br />,022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051
<br />.65
<br />.057
<br />.72.
<br />.063
<br />,070
<br />.076
<br />.083
<br />25°
<br />E =.009
<br />16.24
<br />,018
<br />,027
<br />,33
<br />,036
<br />.40
<br />.040
<br />.49
<br />.056
<br />.58
<br />.065
<br />.67
<br />.074
<br />.75
<br />.083
<br />.83
<br />.093
<br />.90
<br />.106
<br />,99'
<br />.120
<br />1.06
<br />.127
<br />1.14
<br />.13�
<br />.t
<br />TABLE L - Tangents and Externals to 9.1°:Curve. �
<br />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 />?22°
<br />1113.7
<br />107.24
<br />290
<br />'14&1.81&8.51
<br />Angle
<br />3G°
<br />1861.7
<br />294.9
<br />111
<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 />1505,5
<br />195.25
<br />30
<br />188'9.4
<br />303.5
<br />•'•40 ':1148.4
<br />.022
<br />113.95
<br />40
<br />1517,4
<br />"197.53
<br />40
<br />1898.6
<br />306.4
<br />50
<br />11157.0
<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 />30
<br />1535.3
<br />202.12
<br />'37
<br />1817.1
<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';.1183.1
<br />.120
<br />120.87
<br />20
<br />'1553.1
<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 />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 />1217.9
<br />123:00
<br />31;
<br />1559.0
<br />21G.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 ''1235,3
<br />.197
<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 />1015.9
<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 />1G61.0
<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 />'145.75
<br />50
<br />1688.1
<br />243.5
<br />50
<br />-207G.O
<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 />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 />1375.6
<br />162.81
<br />34
<br />1751.7
<br />261.8
<br />41
<br />2142.2
<br />387.4
<br />10
<br />138444
<br />164.80
<br />10
<br />1760.8
<br />264.5
<br />10
<br />2151.7
<br />390.7
<br />20
<br />1393.2
<br />160.95-
<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 />2150.3.
<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.G
<br />175.41
<br />35
<br />1SOG.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 />221S.G
<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 />14G4.0
<br />1S4.08
<br />40
<br />"1543.3
<br />259.2
<br />40
<br />'2237.7
<br />421.4
<br />50
<br />1472.9
<br />1SG.29
<br />50
<br />1S52.5
<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 a°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />504
<br />•55°
<br />60°
<br />65° 70°
<br />20.
<br />T=.06
<br />.13
<br />.19
<br />.20
<br />.32
<br />.39
<br />.45.51
<br />.58
<br />.G5
<br />.72
<br />.79
<br />.S4 .90
<br />E =.000
<br />.011
<br />.017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051
<br />.057
<br />.063
<br />.070
<br />.076 .083
<br />250
<br />'T=.08
<br />.16
<br />.24
<br />.33
<br />AO
<br />.49
<br />.58
<br />.6i
<br />75
<br />.83
<br />.90
<br />A0
<br />1.OG 1.14
<br />E=.009
<br />.018
<br />.027
<br />.030
<br />.M6
<br />.Q56
<br />.065
<br />.074
<br />.053
<br />.093
<br />.106
<br />.120
<br />.127 .135
<br />30oT=.10
<br />.19
<br />29
<br />.39
<br />10
<br />.59
<br />.69
<br />.70
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29 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 .188
<br />35°
<br />T=.11:
<br />22
<br />.34
<br />.47
<br />.5S
<br />.69
<br />.80
<br />.93
<br />1.05
<br />1.17
<br />1.29
<br />1.42
<br />11.54 1.66
<br />E =.018
<br />.035
<br />.054
<br />'.072
<br />.086
<br />.109
<br />-.13t
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247 .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 />1.64
<br />1.70 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 .341
<br />45° •
<br />T=.15
<br />,30
<br />.44
<br />.60
<br />' .76.91
<br />.1.06
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.87
<br />2.04 2.21
<br />E=.030
<br />.060
<br />.093
<br />.110
<br />.153
<br />.154
<br />.216
<br />.254
<br />289
<br />.2891
<br />.325
<br />.351
<br />.378
<br />.411 A45
<br />, in
<br />
|