|
II TABLE 1. --- Tangents and Externals to a 1° Curve.
<br />Chord=100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />= Anglc .
<br />Tangen(
<br />External.
<br />lnt.
<br />Angle
<br />Tangent
<br />g
<br />External
<br />1"
<br />_
<br />50.00
<br />M.
<br />'e8°-
<br />1.
<br />9DO:G6
<br />13-90,
<br />15° •-
<br />754.32
<br />49.44 '
<br />30'
<br />53.34
<br />.3010'
<br />.002
<br />409.03
<br />- 14.58
<br />1G'
<br />702.80
<br />50.55
<br />"U .
<br />G6.07
<br />.39
<br />20 -
<br />417.41.
<br />.15.18'
<br />20
<br />771.29
<br />_
<br />51.68
<br />3U
<br />75,01
<br />:49•
<br />30'
<br />425.79
<br />15:80
<br />30
<br />779.77
<br />52.62
<br />40
<br />83.34
<br />.61
<br />40
<br />434:17
<br />10.43
<br />40
<br />788.25
<br />53.97
<br />50
<br />.91.88,,
<br />..73
<br />.50
<br />442:55
<br />17.07
<br />50
<br />796.75
<br />< 55.13
<br />2
<br />100.01
<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 />''4:79.32
<br />18.38
<br />10
<br />813.75
<br />57:50
<br />20
<br />-115.68
<br />'1:19
<br />--20'
<br />4G7.71
<br />19.06
<br />20
<br />822.25
<br />58.70
<br />"0;.125.02
<br />.015
<br />., 1.30
<br />,' 36.:
<br />476.10
<br />19.75
<br />30
<br />834.76
<br />59.91
<br />40
<br />'433.36
<br />1.55
<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 />'S0
<br />"492-. SS.
<br />21.16
<br />50
<br />- 847.75
<br />62.38
<br />" "3',
<br />150.64
<br />1.96"
<br />.10
<br />- 501,28
<br />21.89
<br />17
<br />856.30
<br />63.63
<br />10•
<br />158.88'
<br />2:19,
<br />10'.
<br />509.08
<br />22.62
<br />10
<br />.864.82
<br />64.00
<br />20
<br />166.72
<br />2.43
<br />20
<br />518.08
<br />- 23.38
<br />20
<br />873:35
<br />.66.18
<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 />133.40
<br />2.93
<br />40'
<br />534;89
<br />' '24.91
<br />40
<br />890.41
<br />68.77
<br />.50
<br />k91:74
<br />3.21
<br />50
<br />543,29
<br />25.70
<br />50
<br />898.95
<br />70.09
<br />s
<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 />1 10
<br />560.11
<br />27.3L
<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 />555.36
<br />29.82
<br />40
<br />941.09
<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 />6
<br />250.16
<br />5.46
<br />12602.21
<br />602.21
<br />31.56
<br />19'
<br />958.81
<br />79.67
<br />10
<br />258.51
<br />5.63
<br />10
<br />010.64
<br />32.45
<br />10
<br />967.38
<br />51.09.
<br />20
<br />266.86.
<br />6.21.
<br />20
<br />619.07
<br />33.35,
<br />20.
<br />975.96
<br />52,53
<br />30
<br />275.21
<br />6.61
<br />30
<br />627.50
<br />34.2G
<br />30
<br />984.53
<br />83,97
<br />40
<br />293.57
<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 />30q.18
<br />7.SG
<br />13
<br />052.51
<br />-37.07
<br />20
<br />1010.3
<br />88.39
<br />10
<br />308.64-
<br />S.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 />68G.G0
<br />40.99
<br />40
<br />1044.7
<br />94.46
<br />50
<br />342.08
<br />., 1.0.20
<br />50
<br />095.06
<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 />1070.5
<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 />'728.90
<br />4GAS
<br />- 30'.
<br />1087.5
<br />102.35
<br />40
<br />333.91
<br />12.85
<br />'- 40-1737,37
<br />1843.3
<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 />IntAngle Curve 5°
<br />10°
<br />15° 20° 25'
<br />30°:
<br />35° 40°
<br />45°
<br />50° 55° 60°
<br />65°
<br />70°
<br />5° T=.02
<br />.03
<br />05 A6 , .08
<br />.10
<br />.11 .13
<br />.15
<br />.16 .18 .20
<br />.21
<br />.23
<br />E=.000
<br />.000
<br />.001 .001 .002
<br />.002
<br />.002 .003
<br />.003
<br />.004 .004 .OG4
<br />.005
<br />.005
<br />10° T =.03
<br />06
<br />.09 .13 .16
<br />.19
<br />,22 .25'
<br />.28 '
<br />.31 .34 .38
<br />2
<br />.46
<br />E =.001
<br />.003
<br />.004 .006 .007
<br />:,008
<br />.009 .011
<br />.012
<br />.014 .015 .017
<br />.018
<br />:020
<br />15° T=.04
<br />.10
<br />.14 19 -.24
<br />.29.
<br />.34 ..39
<br />.45
<br />.51 .53 .58
<br />.63 '
<br />.68
<br />E =.003
<br />:007
<br />.010 .014 .018
<br />.023
<br />.027 .029
<br />.032
<br />.035 .039 .043
<br />.047
<br />.051
<br />201 - T= 06
<br />.13
<br />:19 26 ,82
<br />.39
<br />.45 ,51
<br />.58
<br />.65 .72 .79
<br />.84
<br />90
<br />E=.008
<br />.011
<br />.017 022 .028
<br />.034
<br />.038 .045
<br />.051
<br />,.057 .063 .070
<br />.076
<br />.083
<br />25° T=.08i
<br />16
<br />.24 33 .40
<br />4v
<br />.68 67
<br />.75
<br />.83 .90 .99
<br />1.00 .1.14
<br />.318.1
<br />E=.000
<br />.015
<br />.027 .036 ,0461'.050
<br />30
<br />.01 074
<br />,093
<br />.093 x.100 .120
<br />:127
<br />.135
<br />TA11LE L - Tangents and Externals to a 1° Curve.
<br />Chord =100 f t.
<br />Int.
<br />Ang1E .
<br />Tan-ent
<br />k
<br />1 xternal
<br />Int.
<br />Angle .
<br />Tan enE
<br />g
<br />1{xteroal
<br />"lnt.
<br />Angle _
<br />'Tan ent
<br />g
<br />External
<br />22°-
<br />1113.7
<br />107-24
<br />29°
<br />1481:8
<br />188:51
<br />301
<br />1801.7
<br />294.9
<br />1'
<br />1122.4
<br />108-90
<br />10'1490.7
<br />190.74 -
<br />.017
<br />•1870.9
<br />297.7
<br />2u
<br />1131,.0
<br />110-57
<br />20-
<br />1499.6
<br />192.99
<br />.'30'
<br />20
<br />.1880.1
<br />300.6
<br />3U:
<br />.1019-7
<br />112.2,.
<br />'30
<br />1508.5
<br />195.25
<br />30
<br />1889.4
<br />303.5
<br />a0
<br />1118.-4
<br />113.9;.
<br />40
<br />1517.4
<br />197.53
<br />'40
<br />1893.0
<br />' 306.4
<br />50 ,.1.1,7:0
<br />30'
<br />115. GG
<br />50
<br />1526.3
<br />199.82
<br />50
<br />1907.9
<br />•309.3
<br />23'_
<br />1105,7
<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 />192G.4:
<br />315.2
<br />20 '
<br />'1183.1.
<br />120.87
<br />20
<br />1553.1
<br />20G.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 />5U
<br />1209.2
<br />126.20
<br />50
<br />1580.0
<br />213.86
<br />50 =-1963:6.
<br />.1721
<br />'327.1
<br />24
<br />12L7.9-
<br />128.00
<br />.31
<br />1589.0
<br />216.3
<br />38
<br />~1972.9
<br />330.2
<br />10
<br />-126.6
<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..,
<br />336.3
<br />3O
<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 />5O.
<br />1261.5
<br />.137.23 •
<br />50
<br />1633.9
<br />228.4
<br />50 .
<br />2019.0
<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 />1.0
<br />1287.7
<br />142.93
<br />20
<br />1661.0
<br />235.9
<br />20
<br />2047.8
<br />-354.9
<br />�G
<br />1296.5
<br />144.85
<br />30'
<br />1070.0
<br />238.4
<br />..30
<br />'2037. 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 />LO
<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 />2.16.1 -
<br />40
<br />2085.4
<br />367.7
<br />10
<br />1331.6
<br />152.69
<br />10
<br />1.706.3.
<br />218.7
<br />10
<br />209'4:9
<br />371,0
<br />20
<br />:1340.4
<br />154.69 .
<br />20
<br />1715.3
<br />251.37
<br />20
<br />210-1.3
<br />374.2
<br />30
<br />1349.2
<br />156:70
<br />30
<br />1724.4 .
<br />253.0
<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 />136G.8
<br />160.76
<br />.50
<br />1742.,G
<br />259.7,
<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 />Al
<br />2142.2
<br />387.4
<br />10
<br />1394.4
<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 />2U
<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 />_-
<br />50
<br />2189 9
<br />404.2
<br />28
<br />1428.0
<br />175.41
<br />35
<br />1806.0
<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 />233.(
<br />20
<br />2218.6
<br />414.5
<br />30
<br />1455.1
<br />181.69
<br />30
<br />1834.1
<br />286.4
<br />130
<br />2228.1
<br />418.0
<br />40
<br />1.164.0
<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 />Corrections to be Added (T = Tangent. E =External.)
<br />Int.
<br />Angle
<br />Curve 5° 10°
<br />15°
<br />20°
<br />25° 30°
<br />35°
<br />40?
<br />45°
<br />50° 55°
<br />60° 65°
<br />70°
<br />�20,
<br />T=.06 13
<br />.19
<br />.26
<br />.32 .39
<br />.45
<br />.51
<br />' .58
<br />.65 .72
<br />.79 .84
<br />-.90
<br />E =,006 .011
<br />.017
<br />.022
<br />.028 .034
<br />..038
<br />.045
<br />AH
<br />.057 053
<br />.070 .076
<br />.093
<br />25°
<br />_ T=.08 .16
<br />.24.33
<br />.40 .49
<br />.58
<br />.07
<br />.75
<br />.83 .00
<br />.99 1.06
<br />1.14
<br />E =•009 .018
<br />.027
<br />.030
<br />.046 .056
<br />.005
<br />.074
<br />.OS3
<br />.093 .106
<br />.120 .127
<br />.135
<br />30'
<br />T=10 :.1J
<br />29
<br />.39 ,
<br />.49 .59
<br />.69
<br />.79
<br />.99
<br />.00 1.09
<br />I.CO 1.29
<br />1.39
<br />E=,013 .025
<br />.038
<br />.051
<br />.005 .078
<br />.090
<br />.103
<br />.110
<br />.129 .149
<br />.170 .179
<br />.188
<br />356
<br />T =.11 22
<br />.34
<br />.47
<br />58 .69
<br />.80
<br />.93
<br />1.05
<br />1.17 1.29
<br />1.42 1.54
<br />1.66
<br />E =-018 .035
<br />.054
<br />.072
<br />.086 .109
<br />.131
<br />.153
<br />.175
<br />.197 213
<br />.230..247
<br />.204
<br />40°
<br />T=.13 26
<br />.40
<br />.53
<br />.67 .80
<br />.93
<br />1.06
<br />1.20
<br />1.34 1.49
<br />1.64 1.79
<br />1.94
<br />E =.023 016_
<br />.070
<br />.093
<br />,117 .141
<br />.1721
<br />.203
<br />.234
<br />.265 .277
<br />.290 .315
<br />_
<br />45°
<br />T=•15 -. .30
<br />.44
<br />.60
<br />,70 .01
<br />1.06
<br />1.21
<br />1.37
<br />1.52 1.70
<br />1.87 2.04
<br />_.341
<br />2.21
<br />E m.030 ON
<br />.093
<br />.II9
<br />,,153 .184
<br />.210
<br />.253
<br />.289
<br />.325 .351
<br />.378 .411
<br />.4.45 '
<br />
|