|
II TAffi.E 1. - Tangents and Externals to a 1° Curve.
<br />(',h ord =100 f t.
<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 />i°
<br />50.00
<br />.22
<br />„ 8';.
<br />400.6G
<br />13.99
<br />'15'
<br />754.32
<br />40.44
<br />10'
<br />58.34
<br />.30
<br />LO'
<br />-409.03
<br />14.58
<br />10'
<br />762.80
<br />50:55
<br />20
<br />66.67
<br />39
<br />.D08
<br />20
<br />417.41
<br />15.18
<br />20
<br />771.29
<br />51,68
<br />30
<br />75.01.'
<br />,-.39
<br />.49
<br />30 ..425.79'
<br />.39
<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 />7S8.26
<br />53.97
<br />50
<br />91.68
<br />.73
<br />50.
<br />'442.55
<br />17.07
<br />50
<br />,706.75
<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 />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 />1.36
<br />30
<br />476,10
<br />19.75
<br />30.
<br />830.76.
<br />59.91
<br />_
<br />. 40.
<br />133.36.
<br />1,55
<br />40.
<br />484,40
<br />20.45
<br />40
<br />839.27
<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 />10501.28
<br />1589-0-
<br />21.89
<br />17 ,"
<br />856.30
<br />63.63
<br />10.
<br />'i58.38
<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 />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 />08.77
<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 ,',916:03'-
<br />2038.4
<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 />40
<br />941.69
<br />761.86
<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 />5
<br />250.16
<br />5.46
<br />12,
<br />602.21
<br />31.55
<br />" 19
<br />058.81
<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 />619.07.
<br />33.35
<br />20'
<br />975.06
<br />82.53
<br />30
<br />275.21
<br />6.61
<br />30
<br />627.50
<br />34.26
<br />30'
<br />084.53
<br />83.07
<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 />66.90
<br />6
<br />300.28,
<br />7.85
<br />'13
<br />652.81
<br />.37.07
<br />29
<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 />7
<br />350.44
<br />10.71
<br />14
<br />703.51
<br />43.03
<br />21
<br />1061.0
<br />07.57
<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 />728.90
<br />46.18
<br />.30
<br />1087.5.
<br />1.02.35
<br />40
<br />383.91
<br />12.S5
<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 />Angle Curve 5°
<br />10° 15° 20° 25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />50° 55° 60°
<br />65°
<br />70°
<br />5° T=.02
<br />AS .05 .06 .08
<br />.10
<br />.11
<br />.13
<br />.15
<br />.16 .18 ..20.21
<br />1861.7
<br />.23
<br />E=.000
<br />.000 .001 .001 '.002
<br />.002
<br />.002
<br />_.003
<br />-003
<br />"004 .004 .004
<br />.005
<br />.005
<br />loo T=.03
<br />E =.D01
<br />06 "09 .13 .16
<br />.003 .004 .006 .007
<br />39
<br />.D08
<br />.22
<br />.D09
<br />.25
<br />.011
<br />.28
<br />.012
<br />.31 .34 .38
<br />.014 .015 .017
<br />.42
<br />.018
<br />.d6
<br />.020
<br />15o T=.04
<br />24
<br />.10L.3.3
<br />.29
<br />.34
<br />.39
<br />.45
<br />.31 .53 .58
<br />.63
<br />.68-
<br />E =.003
<br />.007018
<br />.023'
<br />.027
<br />,029
<br />.032
<br />.035 '.039 .043
<br />.047
<br />.051
<br />20° T=.06
<br />.13°3
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65 .72- .79
<br />.84
<br />.90
<br />E =.000
<br />.011.028
<br />.034
<br />.638
<br />.015
<br />.051
<br />.057 .063 .070
<br />.476
<br />.083
<br />25° T=.08
<br />,16.40
<br />.49
<br />.5$
<br />.67
<br />.75
<br />.83 .90 .00
<br />1.06
<br />1.14
<br />E=-009
<br />.018.046
<br />.056
<br />.065
<br />.074
<br />.083
<br />.093 .105 .120
<br />.127
<br />-.135
<br />TASI,la"'I: - Tangent's imd Externals to a-17 Curve. III
<br />:Chord =100 it:
<br />Int
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle ' I
<br />Tangent
<br />External
<br />Int..
<br />Angle
<br />Tangent
<br />g
<br />Estcmal
<br />22°
<br />1113.7
<br />107:24
<br />291>
<br />1481.8
<br />188.51
<br />36°
<br />1861.7
<br />294.9
<br />30'
<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 />1131.0
<br />110.57
<br />20
<br />1499.6
<br />102.98
<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 />40
<br />.1148.4
<br />113.95
<br />40
<br />1517.4
<br />107.53
<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 />1907.9
<br />309.3
<br />23
<br />1165.7
<br />117.38
<br />S9-'
<br />1535.3
<br />202.12'.
<br />37
<br />I917.1
<br />312.2
<br />10
<br />1174.4
<br />119.12
<br />1,0
<br />1544.2
<br />204.44
<br />10
<br />1926.4
<br />315.2
<br />2U
<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 4S
<br />40
<br />1954.3
<br />324.1
<br />50
<br />•1209.2
<br />126.20
<br />50
<br />1580.0
<br />213.86
<br />50
<br />-1903.6
<br />327.1
<br />24
<br />"1217.9
<br />128:00
<br />31'
<br />1589-0-
<br />216.3
<br />38',-
<br />1972.9
<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 />4,606-9
<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 />1024:9;'
<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 />2b
<br />1270.2'
<br />139.11
<br />32
<br />1643.0
<br />230.9
<br />3s,
<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 />3296.5
<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 />145.75
<br />60
<br />1688.1
<br />243.5
<br />•-50•
<br />2016.0
<br />364.5
<br />26 '
<br />1322.8
<br />150.71
<br />83'- •
<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 />24S"7
<br />10
<br />2004.9
<br />371.0
<br />20
<br />:1340.4
<br />154.69
<br />20
<br />I715.3.,
<br />251.3
<br />20
<br />2104.3
<br />374.2
<br />30
<br />1349.2
<br />150.70
<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 />IUU.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 />le
<br />1384.4
<br />164.86
<br />101760.8
<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 />21M S
<br />397.4'
<br />-40
<br />1410.9 j
<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 />142$.6
<br />175.41
<br />35 -
<br />1806.6
<br />278.1
<br />42•
<br />2199.4
<br />407.0
<br />110
<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 />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 />184.08
<br />40
<br />1843.3
<br />289.2
<br />40
<br />2237.7
<br />421.4
<br />50'
<br />1472.9
<br />1.80.29
<br />50
<br />1 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 S°
<br />10° 15° 20°
<br />25°
<br />30°
<br />35° 40° 45°
<br />50°
<br />55° 60° 65°
<br />700
<br />20°
<br />T=.00
<br />.18 .19 .26
<br />.32
<br />.39
<br />.45 .Sl `.58
<br />.65
<br />.72 .79 .84
<br />.90
<br />E=,000
<br />.011 ,017 .022
<br />,028
<br />.034
<br />.038 .045 .051
<br />.057
<br />.003 .070 .076
<br />.083
<br />25°
<br />T=A8
<br />15 .24. .33
<br />-.40
<br />.49
<br />.58 .67 .75
<br />.83.90
<br />.99 1.06
<br />1.14
<br />E=.009
<br />.018 .027 .038
<br />.046
<br />.056
<br />.065 .074 .083
<br />.093
<br />:106 .120_ "127
<br />.135
<br />3p° .
<br />T=.10
<br />19 .29 .30
<br />.49
<br />.59
<br />.69 .79 ,89
<br />.99
<br />1.09 1.20 1.29
<br />1.39
<br />E =,013
<br />.025 .035 ,051
<br />,065
<br />.078
<br />"090 .1031 .116
<br />.129
<br />.149 "170 .179
<br />.188
<br />35° •
<br />T=,11
<br />.22 "34 .47
<br />.58
<br />.69
<br />.80 '.93 L.05
<br />1.17
<br />1.29 1.42 1.54
<br />1.66
<br />-
<br />E=.018
<br />.035 .054 .072
<br />.086
<br />-.109
<br />.131 .153 ,175
<br />.197
<br />013 .230 .247
<br />.204
<br />40o"
<br />T=.13
<br />.26 .40 .53T-.67
<br />.80
<br />.93 1:06' 1.20
<br />1.34
<br />1.49 1.64 1.79
<br />1.94
<br />E=,023
<br />.046 .070 .093
<br />,117
<br />.141
<br />.172 .203 '.234
<br />.265
<br />.277 .290 315
<br />341
<br />452L.'
<br />T=•15
<br />.30 .44 .60
<br />.7G
<br />91
<br />1.06 1.21-F1.37
<br />1.52
<br />1.70 1.87 12.04
<br />2.21
<br />E=.030
<br />.060 .093 .119
<br />.163
<br />'.184
<br />216 254 .289
<br />.325.
<br />351 .378 .411
<br />.445
<br />Al
<br />
|