|
17 TAal s I. - Tangents and Externals to a 1° Curve.
<br />Chord =100 ft.
<br />Int.Int.
<br />Angle
<br />Tangent
<br />External
<br />,ogle .'
<br />Tangent
<br />External,
<br />Int.
<br />. Angle
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />.22.....8'
<br />`
<br />400.66.
<br />:713:99•.
<br />15"-
<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 />:3Q-
<br />20,,.•417:41.:
<br />T=-04
<br />15.18
<br />'20c,
<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 />50
<br />91.68
<br />c:73•
<br />50
<br />-442.55
<br />17.07
<br />-.,50
<br />796'.75X
<br />55.13
<br />12-.
<br />100.01
<br />.87
<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 />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 />125.02
<br />I.M.
<br />30.-
<br />476.10
<br />209,12
<br />30...•:830.76
<br />1945.0
<br />''59.91-
<br />40 =
<br />133.36
<br />1.55
<br />:40 .
<br />484.49
<br />.19.75
<br />20.45
<br />• 40
<br />839.27
<br />61.14
<br />50
<br />-141.70
<br />T.75
<br />'50';
<br />"492.88'
<br />21.16
<br />50'
<br />847.78
<br />62:38-
<br />8
<br />150.04.
<br />1.96
<br />10.
<br />501.28
<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 />166.72
<br />2.43
<br />20
<br />518.08
<br />23.38
<br />20
<br />873.35
<br />68.18
<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 />50
<br />191.74
<br />3.21
<br />.50
<br />543.29
<br />25.70
<br />50
<br />898:95
<br />70.09
<br />L
<br />200:08
<br />3.49
<br />- 11' 1
<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 />91603
<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 />.r,40
<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 />a
<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 />„ '6.21
<br />20,-
<br />1715.3
<br />33.35
<br />20.'-•975.96
<br />2104„3'
<br />82.53
<br />30
<br />275.21
<br />6.61
<br />30..627.50
<br />,619.07.
<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 />'325.35
<br />9.23
<br />30'
<br />678.15
<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 />342.08
<br />10.20
<br />50
<br />695.06
<br />42.00
<br />50
<br />1053.3
<br />- 96.01
<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 />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 />-12.29.1
<br />30
<br />728.90
<br />46.18'.1
<br />30 '1087.8:-
<br />228;':7
<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° IS° 20°
<br />25°' 30°' '35'. 40° 45°
<br />50° 55° 60° 654
<br />70°
<br />5o
<br />T=.02
<br />.03 .05 .06
<br />.08 .10 .11 .13._ .15
<br />.16 .'18 .20 .21
<br />.23
<br />29°=
<br />E =.000
<br />.000 .001 .001
<br />'.002 .002 .002 .003 .003
<br />.004 :004 .004 .005
<br />.005
<br />loo
<br />T =.03
<br />mm .09 .13
<br />.16 .19 .22 .25 :28.31
<br />' :34 .38 .42
<br />.46
<br />10'
<br />E=.001
<br />.003 .004 ..006
<br />.007 .008 .009 .011 ,012
<br />.014 \.015 .017 .018
<br />,.020
<br />15°
<br />T=-04
<br />.10 .14 .19
<br />.24 .29 .34 .39 .45
<br />.51 753 .58 .63
<br />-.68
<br />30
<br />E =.003
<br />1 .007 1 .010 .014
<br />.018 .023 1 .027 1 .029 .032
<br />.035 .039 1 .043 1 .047
<br />.051
<br />20°
<br />T=.06
<br />.13 .19.28
<br />.32 .39 .45 .51 .58
<br />.65 .72 .79 .84
<br />.90
<br />40
<br />E=.006
<br />.011 .017 .022
<br />.028 .034 .038 .045 .051
<br />.057 .063 .070 '.076
<br />.083
<br />2ro
<br />T=.08
<br />.16 .24 .33
<br />.40 .49 .58 .67 .75
<br />.83 .90 .99 1.06
<br />4.14
<br />" '50
<br />E=.009
<br />.018 .027 .036
<br />.046 .056 .065 .074 .083
<br />.093 .108 .120 .127
<br />.135
<br />Tmw1 L -Tangents and'Externals to a P Curve. ffi
<br />C'.hnrd 100 ft:
<br />= -Int.
<br />Angle
<br />Tangent
<br />External,
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int,'
<br />Angle
<br />Tangenll:
<br />External
<br />22°
<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.[4
<br />297.7
<br />20 ..1131.0
<br />.84
<br />110.57
<br />20
<br />1499.6
<br />192.99
<br />20
<br />1880.1
<br />300.8
<br />30
<br />1139.7
<br />112.25
<br />30
<br />1508.5
<br />195,25 '
<br />30
<br />1889.$
<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 />50
<br />1526.3,
<br />199.82 '
<br />" '50
<br />1907.86'.
<br />309.3
<br />23
<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 />''
<br />1544.2
<br />204.44
<br />10 .'1926.0:
<br />.39
<br />',315.2
<br />20
<br />1183.1
<br />120.87
<br />20
<br />1553:1
<br />206.77
<br />20
<br />`193S.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 />:103
<br />`40
<br />1200.5
<br />124.41
<br />40
<br />1571:0
<br />211.48
<br />-40
<br />1954.6;
<br />324.1
<br />50
<br />1209.2
<br />126.20
<br />50
<br />1580.0
<br />-
<br />213.86
<br />50
<br />1963.o
<br />`327. 1
<br />24 ..
<br />1217.9
<br />-128.00
<br />31
<br />1589.0
<br />216.3
<br />36
<br />1972.19
<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 />.2086.16
<br />.361.3
<br />" 50
<br />1314.0
<br />148.75
<br />50
<br />1688.1
<br />243.5
<br />50
<br />20:6.10
<br />'364.5
<br />J26
<br />.1322.8
<br />150:71
<br />33.
<br />1697.2
<br />,246:'I
<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 />2132.1
<br />.384.1
<br />.27 -
<br />1375.6
<br />162.81
<br />34
<br />1751.7
<br />261:8
<br />41
<br />.'2142i.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 />13932
<br />166.95
<br />20
<br />1770.0
<br />267.2
<br />.'20
<br />2L61..2
<br />394.1
<br />.30
<br />1402,0
<br />169.04
<br />30
<br />1779.1.
<br />269.9
<br />130
<br />2 MO.8
<br />'397.4
<br />40
<br />'1410.9'
<br />171.15
<br />40
<br />1788.2
<br />272.6 -
<br />•"40
<br />2130.3
<br />,400.8
<br />50
<br />1419.7
<br />173.27
<br />50
<br />1797.4
<br />275.3
<br />50
<br />21811,.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 />2213:6
<br />414.5
<br />30
<br />1455:1
<br />181.89
<br />30
<br />1834.1
<br />286.4
<br />30
<br />222„1
<br />.418.0
<br />40
<br />1464.0
<br />184.08
<br />40
<br />1843.3
<br />289.2
<br />40
<br />228;':7
<br />.421.4
<br />50 '
<br />1472.9.
<br />186.29
<br />50
<br />1852:5
<br />292,0
<br />50
<br />'2.24;'.3
<br />425.0
<br />Corrections -to be'Added'-(T=Tangent:' * E -= External.)
<br />Int, I Angle
<br />5° . Curve P.
<br />10`
<br />15°
<br />20° '
<br />25°
<br />'30 '
<br />35°
<br />40°
<br />-45° 1
<br />50°
<br />-S56
<br />69'
<br />65--
<br />70"
<br />20.
<br />T-.06
<br />.13
<br />.19 '
<br />.26.
<br />_.32
<br />.39
<br />.45
<br />'.038
<br />.51
<br />.58
<br />65
<br />.72
<br />79-
<br />.84
<br />'.90
<br />E=.006
<br />.,011
<br />,017
<br />.022
<br />.028
<br />.034
<br />.045
<br />.051
<br />,057
<br />.063
<br />.070
<br />•..076
<br />.083
<br />250 .
<br />T=.08
<br />.16
<br />.24
<br />.33
<br />.40 •
<br />.49
<br />.58
<br />.67
<br />.75
<br />,,83
<br />.90
<br />,199
<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 />A20
<br />..127
<br />.135
<br />30°
<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 />1,:20
<br />1.29
<br />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
<br />.188
<br />35o
<br />T=.11
<br />.22
<br />.34
<br />.47
<br />.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
<br />.035
<br />.054
<br />.072
<br />.086
<br />.109
<br />.131
<br />.153
<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 />.80
<br />.93
<br />1.06.
<br />L20
<br />1.34
<br />1.49'L64
<br />1.79
<br />1.94
<br />E=.023
<br />946
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />`.234
<br />.265
<br />.27711
<br />.315
<br />.341_
<br />45o
<br />T=.15
<br />.30
<br />.44
<br />1 .60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.37
<br />1.5F
<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 />289
<br />.325
<br />351
<br />',378
<br />.411
<br />.446
<br />
|