|
II TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chnrd=100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />"External
<br />Int.
<br />Angle -
<br />Tangent
<br />Extenal
<br />. Int'
<br />'Angle
<br />Tangent
<br />External
<br />1'
<br />50:00
<br />.22
<br />8°
<br />400.66
<br />13.99-
<br />•1b°- '
<br />-754.32
<br />49.44
<br />10'
<br />58.34.30
<br />005
<br />10'
<br />409.03
<br />14.58
<br />10'
<br />762.80
<br />50.55
<br />20
<br />66:67
<br />" " :39
<br />'y 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 />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 />is 60
<br />_
<br />91.68
<br />73,
<br />; ": b0,
<br />442;55,
<br />17.07
<br />50;
<br />.796.75.,.
<br />55.13
<br />.Q70
<br />.076
<br />.083
<br />25�
<br />1535.3
<br />.011
<br />.022
<br />1917.1
<br />A"
<br />2
<br />100.01-:
<br />.87:,
<br />;,•9
<br />450.93
<br />17.72
<br />16:
<br />•805.25
<br />, 56.31
<br />10.
<br />.083
<br />.1.02,
<br />10.
<br />459.32.
<br />18.3810
<br />-.:,813.75
<br />-20"•
<br />1935.7
<br />57.50
<br />'58.70
<br />20
<br />.108.35
<br />'316:68
<br />1.19
<br />20"
<br />'467.71
<br />19.06'
<br />1
<br />822.25
<br />.103
<br />30
<br />125.02
<br />1'.36-
<br />-30_
<br />.476.10
<br />19.75
<br />30-.'830.76
<br />3954.3
<br />59.91
<br />,
<br />40.
<br />133.3G
<br />126.20
<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--";847.78:
<br />1972.9
<br />62.38
<br />'!
<br />1226.6
<br />129.82
<br />". 110
<br />1598,0
<br />218.7
<br />- "10
<br />1982.2
<br />333.2
<br />3
<br />.150.04..,
<br />1.96
<br />10
<br />501:28•,
<br />21.59
<br />17
<br />-,856.30;
<br />.63.63
<br />10
<br />458.38
<br />-2
<br />10 •
<br />509.68
<br />-.22.62
<br />10-
<br />-864.82
<br />,:-64.90
<br />"GG.
<br />20
<br />166.72
<br />2,43
<br />. 20
<br />515.08:..
<br />23.38 .
<br />:.20
<br />873.35
<br />. Is
<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 />50
<br />191.74
<br />3.21
<br />_ 50
<br />543.29
<br />25.70
<br />50
<br />898.95
<br />70.09
<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 />4
<br />`200:08'
<br />'-'3'.49,
<br />ill
<br />551.70
<br />26.50
<br />18' 2
<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 />'!29782:
<br />' •40
<br />941,69
<br />76.86
<br />50
<br />241.81
<br />,
<br />5.10
<br />50 -
<br />_
<br />593.79
<br />30.68
<br />50
<br />950.25
<br />78.26
<br />8
<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.-.L
<br />,
<br />6'.21.
<br />' 20.'
<br />.619:07
<br />-33.35-
<br />= 20,7
<br />975.96
<br />82.53
<br />30
<br />275.21
<br />:•G.61:
<br />"' 30
<br />627..50
<br />t.3-1,26_'.
<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,-!36.12
<br />267.2
<br />50
<br />1001.7
<br />86.90
<br />6
<br />300.28
<br />. i
<br />•- 7.85
<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 />1419.7
<br />8.76
<br />20,
<br />669.70
<br />39.01
<br />20
<br />1027.5
<br />91.40
<br />30
<br />,316:901
<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 />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 />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 />725.90
<br />46.18
<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 b.e Added (T=Tangent. E=External.)
<br />Anglo
<br />Curve 5°
<br />10'
<br />15° 20° 25° 30°
<br />35° 40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />700
<br />50'
<br />E-.000
<br />.000
<br />.001 .001 .002 002*.34.39
<br />36°
<br />X003
<br />.004
<br />.004
<br />.004
<br />005
<br />.005
<br />10°
<br />T=.03
<br />E=.001
<br />.06
<br />.09 .13 .16 .19
<br />_004 ,006 .007 .008
<br />.28-
<br />.012
<br />.31
<br />.014
<br />.34
<br />.015
<br />.38
<br />.017
<br />.42
<br />.018
<br />•46
<br />.020
<br />la°
<br />T=.04
<br />E =.003
<br />.003
<br />.1Ox
<br />:007
<br />.14 .19 .24 .29
<br />.010 .014 .018 .023
<br />1139:7
<br />.45
<br />.032
<br />.51
<br />.035
<br />.53
<br />:039
<br />.58
<br />.043
<br />.63
<br />.047
<br />.68
<br />.051
<br />303.5
<br />T=.06
<br />.13
<br />.19 .26 .32 .39
<br />.45 .51
<br />.58
<br />.65
<br />.72
<br />.79
<br />.84
<br />•90
<br />20°
<br />E =:006
<br />50
<br />.017 .028 .034
<br />.03S .045
<br />,051
<br />.057
<br />.063
<br />.Q70
<br />.076
<br />.083
<br />25�
<br />1535.3
<br />.011
<br />.022
<br />1917.1
<br />312.2
<br />•';10
<br />1174.4
<br />119.12
<br />1.0127
<br />'135
<br />204.44
<br />E=.009
<br />018
<br />027 036 .046 .056
<br />065 .074
<br />.083
<br />:093
<br />.106
<br />.120
<br />`206.77
<br />20
<br />,TABL I -'-Tangents and Externals to a P 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 />1481.8
<br />188.51
<br />36°
<br />1861.7
<br />294.9
<br />101
<br />1122.4
<br />108.90
<br />1('
<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 />1499.0
<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 />Ir.z;40
<br />1148.4,
<br />113.05
<br />•40
<br />3517.4
<br />197.53
<br />40
<br />1898.6
<br />306.4
<br />50
<br />1157.0-1
<br />115.66
<br />50
<br />1520.3
<br />199.82
<br />50
<br />1907.9
<br />309.3
<br />23.
<br />1165.7
<br />117.38
<br />302
<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 />1926.4
<br />315.2
<br />.:20
<br />;-1
<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 />1945.0321.1
<br />.103
<br />`?40
<br />1200.5
<br />124.41
<br />40
<br />1571.0
<br />211.48
<br />40
<br />3954.3
<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'`'1
<br />1589.0
<br />216.3
<br />38 -
<br />1972.9
<br />330.2
<br />10
<br />1226.6
<br />129.82
<br />". 110
<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 />'40
<br />'1244.0'
<br />133.50
<br />=' 30
<br />1615.9
<br />223.5
<br />'30
<br />2000.9'
<br />.046
<br />.070
<br />1252.8
<br />135.35
<br />40
<br />1624.9
<br />226.0
<br />,40
<br />2010.2
<br />,339.3
<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 />c 10
<br />1279.0
<br />141.01
<br />'10
<br />1652.0
<br />233.4
<br />30
<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 />-WA. S,
<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 />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 />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 />1797.4
<br />275.3
<br />50
<br />2189.9
<br />404.2
<br />28
<br />1428.6
<br />175.41
<br />X35
<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 />1515.7
<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 />30
<br />1455.1
<br />181.89
<br />30
<br />1834.1
<br />286.4
<br />30
<br />2228.1
<br />,414.5
<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 />A
<br />Corrections to be Added (T =Tangent. E =External.)
<br />et.
<br />Igle
<br />Curve S°
<br />10°
<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 />0°
<br />T=.06
<br />.13
<br />.19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.53
<br />.65
<br />.72
<br />.79
<br />.84
<br />E'=.000
<br />011
<br />.017
<br />.022
<br />.028
<br />.034
<br />.Q38
<br />.045
<br />.051
<br />.057
<br />.063
<br />.070
<br />.076
<br />.90
<br />.083
<br />5°
<br />T=.08
<br />.16
<br />.24
<br />.33
<br />:40
<br />.49.58
<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 />p°
<br />T=.10
<br />-.19
<br />29
<br />.39
<br />.49
<br />.59
<br />.69
<br />.79
<br />.89
<br />.99
<br />1.09
<br />L30
<br />1.29
<br />1.39
<br />E=.013
<br />.025
<br />.038
<br />.051
<br />.005
<br />078
<br />.090
<br />.103
<br />.116
<br />.129
<br />.149
<br />.170
<br />.179
<br />.188
<br />=,11
<br />2-2
<br />.34
<br />".47
<br />.58
<br />.69
<br />E=.018
<br />035
<br />.054.072
<br />.056
<br />.109
<br />,131
<br />.153
<br />.197
<br />.213
<br />.230
<br />.247
<br />.264
<br />13
<br />.26
<br />.40
<br />53
<br />.67
<br />.80
<br />.93
<br />1.06
<br />1.34
<br />1.49
<br />1.64
<br />1.79
<br />1.14
<br />E=.023
<br />.046
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />L1.2
<br />.265
<br />.277
<br />.290
<br />.315
<br />.341
<br />T=.15
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.52
<br />1.70
<br />1.87
<br />2.04
<br />2.21
<br />E =.030
<br />.060
<br />.093
<br />.119
<br />.153
<br />.184
<br />.216
<br />254
<br />.325
<br />351
<br />.378
<br />.411
<br />.445
<br />
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