|
iI TABLE i. - Tangents and Externals to A 1°• Curve.
<br />C6rd=100 ft. ,
<br />Int.
<br />Angle
<br />Tangent
<br />External'.'
<br />Int.
<br />. Angle
<br />Tangent
<br />External
<br />In
<br />An
<br />Tangent
<br />External"
<br />1.
<br />50.00
<br />22
<br />8°
<br />400-60
<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 />]0'
<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 />.40
<br />30
<br />425.79
<br />15.80
<br />30
<br />779.77
<br />52.82
<br />40
<br />83.34
<br />Al
<br />40
<br />434.17
<br />10.43
<br />40
<br />788.26
<br />53.97
<br />b0
<br />91.68,.
<br />.73
<br />50
<br />442,55
<br />17.07
<br />50
<br />796.75
<br />55.13
<br />2
<br />100.01S-4
<br />117.38
<br />9
<br />450.93
<br />,` 17.72
<br />16
<br />505,25
<br />56.31
<br />'
<br />10
<br />108.35
<br />1.02
<br />10
<br />459:32
<br />16.33
<br />10
<br />S13.75
<br />57.50
<br />20
<br />116,63
<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 />1.80
<br />30
<br />476.10'
<br />19.75:
<br />30
<br />830.75
<br />59.91
<br />40
<br />133.30
<br />1.65
<br />40
<br />484.49'
<br />20.45
<br />40
<br />839.27
<br />61.14
<br />50
<br />141,70
<br />1.75
<br />50
<br />- 492.S8
<br />-21.16'
<br />50
<br />847.78
<br />• 62.38
<br />3
<br />156.04
<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 />618.08
<br />23.38
<br />20
<br />873.35
<br />00,18
<br />30
<br />175.OG
<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 />60
<br />101.74
<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 />SG0.11
<br />27.31
<br />`28.14
<br />10
<br />916.03
<br />72.76
<br />20
<br />216.77
<br />4.10
<br />20
<br />568.53
<br />235.9
<br />20
<br />924.58
<br />74.12
<br />30
<br />225.12
<br />.4.42
<br />30
<br />576.95•
<br />28.07
<br />30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.76
<br />40
<br />585.30,
<br />29.82
<br />40 '
<br />941.09`
<br />76.66
<br />50
<br />24L.91
<br />5.10
<br />50
<br />593.70
<br />30,08
<br />60
<br />950.25
<br />78.20
<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 />5
<br />250.16
<br />.' 5,46
<br />12
<br />1602.21
<br />31.56
<br />19
<br />'958.81
<br />79.67
<br />10
<br />258.51
<br />5.83
<br />10•
<br />G10.64
<br />32.45
<br />10
<br />967.38'
<br />81.091
<br />20
<br />266,86
<br />6.21
<br />20
<br />'619.07-33.35
<br />253.9
<br />20
<br />975.96
<br />82.53
<br />30-
<br />275.21
<br />6.61
<br />30
<br />G27.50
<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 />'993.42
<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 />wq,Z8
<br />7,80.
<br />13
<br />652.81
<br />37.07
<br />20
<br />1010.3
<br />88,39
<br />10,
<br />308:64
<br />8.81
<br />10
<br />G61:25
<br />-38.03
<br />10
<br />101819
<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 />91140
<br />.
<br />30
<br />325.35
<br />9.23
<br />• 30
<br />G78.15
<br />.f 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 />`7
<br />350.44
<br />10.71
<br />14
<br />703,51
<br />43.03
<br />21
<br />1.061.9.
<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 />387: 1-
<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 />728.90
<br />46.18
<br />30
<br />1087.8'
<br />•102.35
<br />40
<br />333.91
<br />12.$8
<br />46
<br />737.37
<br />, 47.25
<br />40
<br />1090.4
<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 />105.00
<br />Corrections. to be Added (T =Tangent. E=External.)
<br />i
<br />Int.
<br />Angle Curve S°
<br />10° IS-�, 20° 25° 40
<br />35°, 40° 45° 50°
<br />1 55°- 60°
<br />65°
<br />79°.
<br />50 T=.02
<br />.03 .05 .06 08 .10
<br />.11 .13 .15 .18
<br />.18 .20
<br />.21
<br />.23
<br />E=.000
<br />.000 .001 .001 .002 .002
<br />.002 .003 .003 .004
<br />.004 .004
<br />.005
<br />.005
<br />100 T=03
<br />.O6 :09 .13 .16 .19'
<br />.22 .25 28 .31
<br />.34 38
<br />-:42
<br />.46
<br />E=.001
<br />.003' .004 .006 .007 .008
<br />•.009 .011 .012 .014
<br />.84 .89 45 .51
<br />A15 .017
<br />.53 .58
<br />.01B
<br />.63
<br />.020
<br />.69
<br />150' T=.04
<br />.10 .14 .19, 24 .29
<br />E =.003
<br />.007 .010 .014 .018 .023
<br />.027 .020 .032 .035
<br />.039 .043
<br />.047
<br />.051
<br />20° T=.06
<br />.13 26 32 .39
<br />.45 :81 .58 .85
<br />.72 .79
<br />.94
<br />.90
<br />E =.006
<br />.011022 .028 .034
<br />:18.3 .40 :49
<br />j-243
<br />.038 .015 .051 .057
<br />.b8 67 .75 .83
<br />.063 .070
<br />.90 '.99
<br />.078
<br />1.08
<br />.083
<br />1.14E=.009
<br />25o T=.08
<br />40
<br />.018038 .018 :058
<br />.085 .074 .083 .093
<br />.106 .120
<br />.127
<br />.135
<br />TA13LF I. - Tangents and Externals to a 1° Curve. III
<br />C}tnrrl=100ft. '
<br />Ent.j
<br />Angle
<br />Tangent
<br />External
<br />Angie
<br />(Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />22°p
<br />'1113.7`
<br />107.24
<br />29°,
<br />1481.8
<br />188,51
<br />36°
<br />1861.7
<br />294:9
<br />101,
<br />11.22.4
<br />108.90
<br />11Y
<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 />1889.4
<br />303.5
<br />.40
<br />1148.4
<br />113.95
<br />40
<br />1517.4
<br />197.53
<br />40
<br />1898.0
<br />306,4
<br />50
<br />1157.0
<br />115. Ge
<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 />1917.1
<br />312.2
<br />l0
<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 />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 />1200.2
<br />126.20
<br />50
<br />1580.0
<br />213.86
<br />50
<br />1963.6
<br />327.1
<br />24
<br />1.21.7.9
<br />128.00
<br />31
<br />1589.0 -
<br />216.3
<br />38
<br />1972.9
<br />330.2
<br />10
<br />1220.6
<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 />3606.9
<br />221 1
<br />20
<br />1991-.5
<br />336.3
<br />30
<br />1244.0
<br />133.50
<br />30
<br />1616.9
<br />223.5
<br />30
<br />2000.9
<br />-339:3
<br />40
<br />1252.8
<br />135.35
<br />4O
<br />1624.9
<br />22G.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 />1052.0
<br />233.4
<br />10
<br />2038,4
<br />351,8
<br />20
<br />1287.7.
<br />142.93
<br />20
<br />1061.0
<br />235.9
<br />20
<br />2047.8
<br />354.0
<br />30
<br />1296.5
<br />144.85
<br />30
<br />I670:0
<br />238.4
<br />30
<br />2057.2
<br />358.1
<br />40
<br />1305.3
<br />146.79
<br />40
<br />16791.1
<br />241.0
<br />40
<br />2060.6
<br />361.3
<br />50
<br />1314.0
<br />148.75
<br />50
<br />"1688.1
<br />243.6
<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 />2085.4
<br />367.7
<br />10
<br />133 1, 6
<br />152.69
<br />10
<br />1700.3
<br />248.7
<br />10
<br />2094.9
<br />371,0
<br />20
<br />1340.4
<br />154.69
<br />20
<br />1735.3
<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 />13GG.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 />31
<br />1751.7
<br />261.8
<br />41
<br />2142.2
<br />367.4
<br />10
<br />1384.4
<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 />.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 />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 />1428.6
<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 />1S24.9
<br />233.6
<br />20
<br />2218:6
<br />414.5
<br />30
<br />1455,1
<br />181.89
<br />30
<br />1534.1
<br />MIA
<br />30
<br />2228.1
<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 />196,29
<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 Curve 5° 10°
<br />,15°
<br />20°
<br />25°
<br />301 1
<br />35° 1 40° 45° 50° 1 55° 1 60° 65° 70°
<br />200 T-.06 ' .13
<br />.19
<br />.26
<br />.32.39
<br />.45 .51 .58 65 .72 .79 '.84 .90
<br />E =.000 .011
<br />.017
<br />.022
<br />.028
<br />.094
<br />.038 .045 .051 .057 .063 .070 .076 .083
<br />25° T =.OP .16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.58' .87 .75 .83 .90 .99 1,00 1.14
<br />E=.009 .018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065 .074 .033 .093 .I06 .120 .127 .135
<br />.19
<br />.29
<br />.39
<br />.49
<br />.59
<br />.69. .79 .89, 09 1.09 1 -0 1.29 1.39
<br />E=.033 .025
<br />.038
<br />.051
<br />.065
<br />.OiB
<br />.030 .103 ..116 X120 .I49 .170 .179 • .188
<br />350 T=.11 .22
<br />.34
<br />.47
<br />.58
<br />.69
<br />.80 .03 1.05 1.1 1.29 1.42 1.54 1.86
<br />E=.018 .035
<br />.054
<br />.072
<br />.086
<br />.109
<br />.131 .153 .175 .19 ,213 330 .247 .204
<br />40° .I3 .26
<br />.40
<br />.53
<br />.67
<br />'.$0
<br />.93 1 00 1.20 1.34 49 1.64 1.79 1.94
<br />FT: .023 .090
<br />.070
<br />.093
<br />.117
<br />.191
<br />.1'e2 .293 .234 .265 "7 .290 .315 .341-
<br />45° T=.15 .30
<br />:44
<br />30
<br />.76
<br />.91
<br />1.08 1.21 1.37' 1.52 1.7 1,87'2.04 2.21
<br />E =.030 .000
<br />.093
<br />.119
<br />.153
<br />.184
<br />.216 .254 .289 .325 .35 .378 .411 .445
<br />i�
<br />
|