|
t L TABLE I. - Tangents and Externals to a 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 />1°
<br />50'.00.22.
<br />10°
<br />$° '
<br />'400.66
<br />13,99
<br />15°
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />,30
<br />10,
<br />409.03
<br />14,58
<br />10'762.80
<br />.008 ,007 .003 .009
<br />.011
<br />20
<br />66.67
<br />.39.
<br />20
<br />417.41
<br />15.18
<br />20
<br />771.29
<br />.50,55
<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 />10.43
<br />40
<br />788.26
<br />53.97
<br />50
<br />01,68
<br />.73
<br />50
<br />442.55
<br />17.07
<br />50
<br />796.75
<br />•55.13
<br />2
<br />100.01
<br />` :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 />30
<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 />1.36,
<br />30
<br />476.10
<br />19.75
<br />30
<br />830.76.
<br />59.91
<br />40
<br />133.36
<br />1.55
<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-
<br />847,78
<br />62.38
<br />3
<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 />518.03
<br />23.38-
<br />20
<br />873.35
<br />66.18-
<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 />.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 />72.7G
<br />20
<br />216.77
<br />4.10
<br />20
<br />568.53
<br />28.14•
<br />.20
<br />024.58
<br />74.12
<br />30
<br />225.12
<br />4.42
<br />30
<br />576.95
<br />28.97
<br />130
<br />033.13
<br />75.49
<br />40
<br />233:47
<br />4.76
<br />40
<br />585.36
<br />29.82
<br />40
<br />041.60
<br />76.86
<br />50
<br />241.81
<br />5.10
<br />5U
<br />593.79
<br />30.68
<br />50
<br />950.25
<br />78.26
<br />5
<br />250.16
<br />5.46'
<br />12
<br />602.21
<br />31.56
<br />19
<br />953.81
<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 />266.56
<br />.6,.21-
<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 />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 />291.92
<br />7.43
<br />50
<br />644.37
<br />36.12
<br />50
<br />1001.7
<br />86.90
<br />6
<br />300.2S
<br />'7.86
<br />13
<br />652.81
<br />37.07_
<br />20
<br />1010.3
<br />58.39
<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 />39.90
<br />30
<br />1036.1
<br />02.92 .
<br />40
<br />'333.71
<br />9.71
<br />40
<br />686.60
<br />40.09
<br />40
<br />1044.7
<br />94.46
<br />50
<br />342.08
<br />10.20
<br />50
<br />695406
<br />42,00
<br />50
<br />1053.3
<br />96.01
<br />7
<br />350.44
<br />10.71
<br />14
<br />7703.51
<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 />728.00
<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 />TABLE I. -Tangents and Externals to a 1° Curve. II](
<br />Chord =100 ft.
<br />` Int
<br />Angle
<br />Corrections to be Added' (T =Tangent. E = External.)
<br />Int,
<br />Angle
<br />Curve S.
<br />]0° 15° 20° 25° 30°. 35° 40° 45° SO- 55° 60° 65° 70°
<br />5.
<br />T=.02
<br />.03 .05 .06 .08 .101 .11 ".13 .15 ,16 .18 .20 �l .23
<br />External
<br />E =.000
<br />.000 .001 ,001 ,002 ,002 .002 ,003 -,003 .004 .004 .004 .005 .00
<br />10°
<br />T=.03
<br />,06 .09
<br />.13 '.16 .19 ,22
<br />:35
<br />28
<br />,31
<br />.34
<br />,38-
<br />.42
<br />A6
<br />1490.7
<br />E-.001
<br />.003 '.004
<br />.008 ,007 .003 .009
<br />.011
<br />.012
<br />.014
<br />.015
<br />.017
<br />.018
<br />.02)
<br />15°
<br />T =•04
<br />.10 .14
<br />,19 .24 29 .34
<br />,30
<br />:15
<br />.51
<br />.53
<br />.58
<br />.63
<br />.68
<br />303.5
<br />E =.003
<br />.007 .010
<br />.014 .018 ,023 .027
<br />.029
<br />.032
<br />.035
<br />.030
<br />.013
<br />.017
<br />.05.
<br />21'
<br />T=.OG
<br />.13 ,19
<br />,26 ?2 .39 .45'
<br />.5l"
<br />.58
<br />G5.
<br />.72
<br />.79
<br />..84
<br />.90
<br />30
<br />E =.006
<br />.011 ,017
<br />.022 .028 .034 .038
<br />,015
<br />.051
<br />.0.57
<br />.063
<br />.070
<br />.076
<br />.Ott
<br />25o
<br />T=.OS.16
<br />.24
<br />.33 .40 .49 .58
<br />.67
<br />'r5
<br />.S3
<br />AO
<br />.99
<br />1-0611-14
<br />210
<br />1935.7.
<br />E =.009
<br />.018 .027
<br />.0361 aIG .055 .065
<br />.074
<br />,083
<br />.093
<br />.106
<br />..120
<br />.127
<br />.1&
<br />TABLE I. -Tangents and Externals to a 1° Curve. II](
<br />Chord =100 ft.
<br />` Int
<br />Angle
<br />'Tangent
<br />External
<br />Int.
<br />Angle
<br />Tan ent
<br />g
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />W
<br />-1113.7
<br />107.24
<br />29°
<br />1481.8
<br />168.51
<br />36°
<br />1861.7
<br />294:9
<br />lot
<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 />1731.0
<br />110.57
<br />20
<br />1499.6
<br />192.99
<br />20
<br />'1680.1
<br />300.6
<br />30
<br />1139.7:
<br />112.25
<br />30
<br />1508.5
<br />195.25
<br />30
<br />1SS9.4
<br />303.5
<br />'40
<br />1148.4
<br />113.95
<br />40
<br />1517.4
<br />197.53
<br />40
<br />1598,6'
<br />306.4
<br />50
<br />1157.0
<br />115.66
<br />50
<br />1526.3
<br />199.52
<br />50
<br />'1907.9
<br />309.8
<br />23,
<br />3105.7
<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 />1926,4
<br />315.2
<br />20
<br />1183.1
<br />120.87
<br />20
<br />1553.1
<br />206.77
<br />210
<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 />213.36
<br />50
<br />1963.6
<br />327,1
<br />24
<br />1217.9
<br />128.00
<br />31
<br />1559,0
<br />216:3
<br />38
<br />1972.9
<br />330.2
<br />.'
<br />-104226.6
<br />.26'
<br />129.82
<br />10
<br />1598.0
<br />-218.7
<br />10
<br />1932.2
<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 />` 'S0
<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 />20'1287'
<br />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 />144.55
<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 />364.5
<br />`26
<br />1322.8
<br />150.71
<br />33
<br />1697.2
<br />246.1
<br />40
<br />2095.4.
<br />367.7
<br />10
<br />1331.6
<br />152.69
<br />10
<br />1706.3
<br />246.7
<br />10
<br />2094.9
<br />371.0
<br />20
<br />1310.4
<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 />1 50
<br />1366.8
<br />160.76
<br />So
<br />1742.6
<br />259.L
<br />50
<br />2132.7
<br />384.1
<br />-27
<br />1375.6
<br />1G2.S1
<br />34'
<br />1751.7
<br />261,8
<br />. 41
<br />2142.2
<br />3S7.4
<br />10
<br />1384.4
<br />164.3G
<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 />1770.1
<br />269.9
<br />30
<br />2170.8
<br />397.4
<br />40
<br />1410.9
<br />171.15
<br />40
<br />1768.2
<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 />2159.9
<br />404.2
<br />28
<br />1428.6
<br />175.41.
<br />35
<br />1866.6
<br />278.1
<br />42
<br />2109.4
<br />407.6
<br />'10
<br />1437.4
<br />177.55
<br />'10
<br />1815.7
<br />.280.8
<br />10
<br />220D.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 />181.89
<br />30
<br />1834.1
<br />286.4
<br />30
<br />2228.1
<br />418.0
<br />40
<br />1464.0
<br />154.08
<br />40
<br />1843.3
<br />2S9.2
<br />40
<br />2'237.7
<br />421.4
<br />50
<br />1.172.0
<br />186.29
<br />50
<br />1552.5
<br />292.0
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T=Tangent. E=External.)
<br />e Curves°
<br />Angie
<br />10°
<br />15°
<br />K200
<br />25°
<br />30°
<br />35°
<br />40°
<br />45° 1
<br />50° 1
<br />55°
<br />60° 1
<br />65°
<br />70°
<br />20o T=.06
<br />.13
<br />.19
<br />.20
<br />.32
<br />.39
<br />.45
<br />.51
<br />.53
<br />.65
<br />.72.79
<br />.84,
<br />.90
<br />E=.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 />250 - T=.08
<br />.16
<br />.24
<br />.33
<br />.40
<br />.49
<br />a8
<br />.G7
<br />.75
<br />S3
<br />.90
<br />1 .9D
<br />1.06
<br />1.14
<br />-- E =.009'
<br />.018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.033
<br />.093
<br />,105
<br />.120
<br />.127
<br />.135
<br />30°{, T=.10
<br />.19
<br />"9
<br />1 .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 />E=.013
<br />.0'25
<br />•.038
<br />.051
<br />.065
<br />.078
<br />.090
<br />.103
<br />A M
<br />,129
<br />.149
<br />.170
<br />.179
<br />.188
<br />35° T=•11
<br />.22
<br />.34
<br />.47
<br />SS
<br />.69
<br />.80
<br />.93
<br />1.05
<br />17
<br />1:'197"
<br />129
<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 />X13
<br />X30
<br />.247
<br />.264
<br />40° T=.13
<br />.26'
<br />AO
<br />.53
<br />G7
<br />.80
<br />.93
<br />1.06
<br />1.20
<br />34
<br />1:23961511
<br />1.49
<br />1.64
<br />1.79
<br />1.04
<br />E=.023;
<br />.046
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234
<br />X85
<br />277
<br />.290
<br />.315
<br />341
<br />450- T=.15
<br />'.30
<br />.44
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<br />.7G
<br />Al
<br />1.06
<br />1.21
<br />1.37
<br />1.53
<br />1.70
<br />1.67
<br />2.04
<br />2.21
<br />E-.030
<br />.060
<br />'.093
<br />.119
<br />.153
<br />.144
<br />.216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />:145
<br />
|