|
II TABLE I. -Tangents and Externals to a P Curve.
<br />Chord=100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />ink.
<br />Angle
<br />._ -
<br />Sartgent
<br />External
<br />:lilt,
<br />; Angle
<br />Tangent
<br />.
<br />External
<br />1'
<br />60.00
<br />22
<br />8°
<br />400.66
<br />13.99 _
<br />1.15'.
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14.68
<br />I0?
<br />762.80
<br />50.55
<br />20
<br />60.67
<br />.89-,
<br />20;.
<br />.023
<br />.39
<br />034
<br />15.18
<br />-•-20
<br />.771.29
<br />51.68
<br />30
<br />75.01
<br />Y-:40
<br />30'
<br />-417.41
<br />425.79
<br />' 15.80
<br />%< 30
<br />779.77
<br />52.82
<br />40
<br />83.34
<br />Gt
<br />40
<br />434.17
<br />16.43,
<br />40
<br />788.26
<br />53.97
<br />60
<br />91.68,
<br />73
<br />50
<br />442.55
<br />17.07
<br />50 .
<br />796.75
<br />55.13
<br />2
<br />300.01
<br />S7
<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 />67.50
<br />20
<br />•116.08
<br />1`,19
<br />20
<br />-4G7.71
<br />='';19.06.'„
<br />20
<br />-622:25
<br />58:70
<br />"6:
<br />-125.02•-
<br />•.1.3G•
<br />30.
<br />476.10
<br />, .19.75
<br />30
<br />830.76
<br />59.91
<br />40
<br />•133.86
<br />1.55
<br />40
<br />484.49
<br />20.451
<br />40--
<br />839.27
<br />61.11
<br />50''
<br />•141.70
<br />1.76
<br />50
<br />492:88
<br />'21[Y6''
<br />50
<br />847.78
<br />62.33
<br />24 -
<br />1217.9
<br />128.00
<br />31
<br />1589.0
<br />216:3
<br />`34
<br />1972.9
<br />336.2
<br />3l
<br />t50.04
<br />-1.96.
<br />10
<br />601.28
<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 />1GG.72
<br />2.43
<br />20
<br />518.08
<br />23.38
<br />20_
<br />873.35
<br />60.18
<br />30
<br />175. GG
<br />2.67
<br />30
<br />526.48
<br />24.14"
<br />30'
<br />831.88
<br />67.47
<br />40
<br />183.40
<br />2.93
<br />40 .
<br />'634.89
<br />24,01
<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 />10
<br />•
<br />141.01
<br />1 t
<br />,
<br />233.4
<br />,.
<br />2038.4
<br />351,8
<br />!
<br />200.08
<br />3.49
<br />11,`
<br />551.70
<br />26:50
<br />18.
<br />007.49
<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 />1305,3
<br />4.10
<br />20
<br />568.53
<br />28.14
<br />20
<br />924.58
<br />74.12
<br />30
<br />.216.77
<br />225.12
<br />.4.42
<br />30
<br />576,9.5
<br />x28.97
<br />30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.7G
<br />40
<br />585.36
<br />29.82
<br />..40
<br />941.69
<br />76.60
<br />60
<br />241.81
<br />5.10
<br />50
<br />593.79
<br />30.68
<br />60
<br />950.25
<br />78.26
<br />5
<br />250.10
<br />6.46
<br />12
<br />'602.21
<br />-31.56
<br />18
<br />958.81
<br />79.67
<br />10
<br />258.61
<br />6.83
<br />10
<br />G10.64
<br />32.45
<br />10
<br />967.38
<br />81.09
<br />20
<br />266.80:.6..21,
<br />158.72
<br />-20.
<br />.619:07'
<br />33.35-
<br />20
<br />:975.96
<br />82.53
<br />30
<br />275.21
<br />6.61'
<br />30
<br />'027.50
<br />34.26'
<br />_ 30
<br />984.53
<br />83.97
<br />40
<br />233.57
<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 />-38.12
<br />50
<br />1001.7
<br />86.00
<br />6
<br />30Q.28
<br />7.86
<br />13
<br />652.81
<br />-37.07
<br />29
<br />1010.3
<br />88.39
<br />10
<br />308.64
<br />•. 8.31
<br />10
<br />601.25
<br />38.03
<br />10,
<br />1618.9
<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 />078.15:
<br />39.99
<br />30
<br />1036.1
<br />92.92
<br />40
<br />-333.71
<br />9.71
<br />40•
<br />68G.60
<br />40.99
<br />40
<br />.1044:7
<br />94.46
<br />50
<br />.342108
<br />'10.20
<br />50
<br />695.OG
<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 />358.81
<br />•11,22
<br />10
<br />711.97
<br />44.07
<br />30
<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 />1472.9
<br />12.20
<br />30
<br />728.90
<br />46.18
<br />30 ;
<br />1087,8 '
<br />102.35
<br />40'
<br />..375.54
<br />333.91
<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 />105.0
<br />Corrections to be Added (T =Tangent. E --ExternaI.) '
<br />lai Curse S° 10° 15° 20° 25°
<br />Angle
<br />30°
<br />35"
<br />40° 45° 50° 55° 601
<br />65°
<br />70°
<br />5° T-02 .03 06 A6 .08
<br />E-000 .000 Al .001 .002
<br />.10
<br />.002
<br />.11
<br />.002
<br />.13 .15 .16 .18 .20
<br />.003 .003 .004 .004 .004
<br />.21
<br />.005
<br />.23
<br />•00a
<br />10 ° T=.03 Ofi 39 .13 .16
<br />.19
<br />22
<br />25 31 34 88
<br />. 2
<br />.48
<br />E =.001 .003 A04 .006 .007
<br />,008
<br />,309
<br />.011 3i2 .014 .015 .017
<br />.018
<br />.0-'0
<br />15° T=.04 .10 14 l9 24
<br />' .P9
<br />24
<br />.39 .45 .51 • .63 .58
<br />.63
<br />.68
<br />E=-003 .007 .010 -314 .018
<br />.023
<br />.39
<br />034
<br />.027
<br />.45
<br />.038
<br />.029 .032 A35 .039 .043
<br />.51 68 05 .72 .79
<br />.045 .051 .057 .063 .070..076
<br />.047
<br />.84
<br />.051
<br />.90
<br />.09
<br />20° T=.OB ' 13 .19 26 22
<br />E=:006 311 317 .022 .028
<br />25° Tna 16 .24 .33 A
<br />1
<br />1.06
<br />1.14
<br />49
<br />.6$
<br />67 .75 ',83 .90 .99
<br />E=.000 A13i .027 xall .040
<br />.056
<br />.065
<br />374 .083 .093 .106 .120
<br />.127
<br />.135
<br />TAtEE'I. - Tangents and Externals to a 1° Curve. III
<br />Chord =100 ft:
<br />Int. -'
<br />Angle
<br />Tan'gcnt'
<br />External
<br />Int •
<br />Angle
<br />Tangent
<br />Lxternal
<br />Int'
<br />Angle
<br />Tangent
<br />External
<br />22°
<br />'1118:7
<br />107.24
<br />29°
<br />1481.8
<br />188.51
<br />36°
<br />1861.7
<br />294.9
<br />101-
<br />112.2.4;
<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 />112.23
<br />30
<br />1508.5
<br />195.25
<br />.30
<br />1689.4
<br />303.5
<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 />60
<br />1526.3
<br />199.82
<br />50
<br />1907.9
<br />309.3
<br />23
<br />1155:7
<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
<br />10
<br />1920.4
<br />315.2
<br />20
<br />1183.1
<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 />15SO.0
<br />213.86
<br />50
<br />1063.0
<br />327.1
<br />24 -
<br />1217.9
<br />128.00
<br />31
<br />1589.0
<br />216:3
<br />`34
<br />1972.9
<br />336.2
<br />10
<br />1226.6
<br />129.82
<br />10
<br />1598.0
<br />1218.7
<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 />U44.0
<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 .'1261.6
<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 />2629.0
<br />345.6
<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 />.
<br />364.5
<br />36
<br />1322.8'
<br />150.71
<br />38 '•
<br />1697:2
<br />246.1
<br />40 ,
<br />2685.4
<br />367.7
<br />10
<br />1331.6,
<br />152.69
<br />10
<br />1700.3
<br />248.7
<br />102094:9
<br />371.0
<br />20
<br />1340.4:
<br />154.69
<br />20
<br />1715:3
<br />251.3
<br />20
<br />2I04.3'
<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 />2I23,3
<br />380.8
<br />50
<br />1366.6.
<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 />84
<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 />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 />109.04
<br />30
<br />1779.1
<br />269.9
<br />30
<br />2170.8
<br />397.4-
<br />97.440
<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 />1797.4
<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 />43
<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 />286.4
<br />30
<br />2228.1
<br />418.0
<br />40
<br />1464.0
<br />184.08
<br />40
<br />11834.1
<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 -External.)
<br />Int.
<br />Angle
<br />Curve 5°,
<br />10°
<br />15°
<br />20°
<br />2S° 30°
<br />35° 40°
<br />65
<br />45° 50° 55° 60° ° 70°
<br />20°
<br />T=.06
<br />.13
<br />.19
<br />.26
<br />.32 .39
<br />.45 .51
<br />.58 .65 .72 .79.84 ,.90
<br />E=.006
<br />.011
<br />..017
<br />,022
<br />.028 .034
<br />AM .045
<br />.051 .057 .063 .070 .076 .083
<br />25°
<br />T=:04•
<br />.16
<br />.24
<br />.33
<br />,40 .49
<br />.58 .67
<br />.75 83 .90 .09 1.06 1,14
<br />E=.009'
<br />.018
<br />.027
<br />,035
<br />'.046 .056
<br />A65 .074
<br />.083 .093 .106 .120 .127 .135
<br />30°
<br />T=,10
<br />,19
<br />.29
<br />.39
<br />.49 .59
<br />.69 .79
<br />.80 .09 1.09 120 1.29 1.89
<br />E=.013
<br />.025
<br />.038
<br />.051
<br />.065 .078
<br />.090 .103
<br />.116 .129 ,149 .170 .178 .188
<br />3S°'
<br />=•11
<br />.22.34
<br />,47
<br />,58 .69
<br />.80 A3
<br />1.05 1.17 1.29 1.42 1.54 1.66
<br />_
<br />E=.018
<br />.035
<br />.054
<br />.072
<br />,086 .109
<br />.131 .153
<br />.175 .197 .213 .230 .247 .264
<br />d0°
<br />T=.13
<br />.20
<br />.40
<br />,53
<br />,67 .80
<br />.93 1.06
<br />1.20 1.34 1.49 1.64 1.79 1,94
<br />E=.023.
<br />.046
<br />.070
<br />.093
<br />.117 .141
<br />.172 .203
<br />.234 265 277t2IO315 341•
<br />45°
<br />T=.15
<br />.30
<br />.44
<br />,60
<br />.76 .91
<br />1.06 1.21
<br />1.37 1.52 1.70 04 2.21
<br />E=.030'
<br />060
<br />.093
<br />.118.153
<br />,184
<br />.218 .254
<br />.289 .325 .351411 .445
<br />
|