|
TABrx I. - Tangents and Externals to a P Curve.
<br />Chord =100 f t_
<br />Int.
<br />Angle
<br />Tangent
<br />External,
<br />Int.
<br />Angle ,
<br />:Tangent
<br />;; :
<br />External
<br />Int.
<br />,Angle
<br />Tangent
<br />External
<br />1°
<br />50:00..22
<br />65°
<br />,So
<br />400.A6
<br />13.99
<br />;16°7."
<br />`,754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />101
<br />409.03
<br />14.58
<br />10'
<br />762.80
<br />50.55
<br />20.
<br />66.67
<br />.39
<br />20
<br />417.41
<br />. 15.18
<br />:.
<br />;.771.29
<br />51.68
<br />30
<br />75.01.
<br />.49 ,
<br />30 '
<br />425.79
<br />.-15,80
<br />,20"
<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 />b0.
<br />: 91.08
<br />3 ..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 />T=.04
<br />450.93.:
<br />,17:72.
<br />.16 •,
<br />, 865.25
<br />56.31
<br />10 _
<br />108.35
<br />.' 1.02
<br />_
<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 />40''
<br />133.36
<br />1:55
<br />40 ,
<br />484.49'.-20.45
<br />209.12
<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 />$
<br />150.04
<br />-1.98
<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 />x: .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 />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 />0
<br />-200.08
<br />3.49.f
<br />11
<br />`551:70
<br />::26.'50.
<br />IS
<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 />72.76
<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 />.
<br />• 40941.69
<br />.2057.2
<br />76.86
<br />60
<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 />12,1•`"_`602.21"1-31.56
<br />1688.1
<br />243.5
<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 />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`.'='35.18=
<br />253.9
<br />40
<br />-993.12
<br />85.43
<br />50
<br />291.92,
<br />7.43..,
<br />50..
<br />.644.37.,;36.12;
<br />256.5
<br />,. ,-50._,
<br />1001.7
<br />86.96
<br />0
<br />300.28..
<br />7.88
<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 />40-333:71
<br />1402.0
<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 />10614-
<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'`•45.12
<br />280.8 '
<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 />-414.5
<br />40
<br />383.91
<br />12.85
<br />_ :40,
<br />737.37
<br />47.25_,
<br />40
<br />1096.4
<br />_102.35
<br />103.97
<br />50
<br />392:28
<br />13.41
<br />50-
<br />'745.8548:34
<br />'289:2
<br />50
<br />1105.1
<br />.105.60
<br />Corrections to be Added (T= Tangent. a E=External)
<br />Int
<br />Angle
<br />Curve 5°
<br />10° 15°
<br />20° '25'-
<br />30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />550
<br />60°
<br />65°
<br />70°
<br />5o
<br />T=.02
<br />.03 .05
<br />.06 '.08
<br />.10
<br />.11.13.
<br />1113:7
<br />.15
<br />.16
<br />.18
<br />.20
<br />21
<br />.23
<br />294.9
<br />E =.000
<br />.000 .001
<br />,001 :002
<br />.002
<br />.002
<br />_.003
<br />.n
<br />..004
<br />.004
<br />.004
<br />.005
<br />.005
<br />loo
<br />T =.03
<br />06 .09
<br />.13 ':16
<br />.19
<br />.22
<br />.25.28
<br />1139.7
<br />;.31
<br />.34
<br />.38
<br />.42
<br />.46
<br />1889.4
<br />E=.001
<br />.003 .004
<br />';006 .007
<br />.008
<br />..009
<br />-.011
<br />.012
<br />':014
<br />.015
<br />.017
<br />.018
<br />.020
<br />15o
<br />T=.04
<br />.10 .14
<br />.19 .24
<br />".29
<br />.34
<br />.39
<br />.45
<br />.51
<br />">.53
<br />.58
<br />.63
<br />.68
<br />37
<br />E =.003
<br />.007 .010
<br />.014 .018
<br />.023
<br />.027
<br />.029
<br />.032
<br />.035
<br />..039
<br />.043
<br />.047
<br />.051
<br />20o
<br />T =.06
<br />.13 .19
<br />.26 .32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65:
<br />.72
<br />:79,
<br />.84
<br />.90
<br />209.12
<br />E=:000
<br />.011 .017
<br />.022 .028
<br />.034
<br />.038
<br />.045
<br />.051
<br />.057
<br />.063
<br />.070
<br />.076
<br />.083
<br />.fir°
<br />T=-.08
<br />.16 .24
<br />.33 .40
<br />.49
<br />.58
<br />.67
<br />.75
<br />-.83
<br />.90
<br />.99
<br />1.06
<br />1.14
<br />1589.0'•
<br />E=.009
<br />.018 .027
<br />.036 .046
<br />.056
<br />.065
<br />.074
<br />.083
<br />-.093
<br />.106
<br />.120
<br />.127
<br />.135
<br />I
<br />'TemLE L = Tangents and Externals to a 19 Curve: m
<br />Chord =100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />' fit'
<br />Angle
<br />Tangent
<br />External
<br />55°
<br />=600
<br />-650 70°
<br />Angle
<br />1113:7
<br />107.24
<br />29°
<br />1481.8
<br />188.51
<br />36°
<br />1861.7
<br />294.9
<br />l0f
<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 />192.99
<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 />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 />1907.9
<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 />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 />20
<br />1935.7
<br />-318.1
<br />30 .
<br />1191.8
<br />122.63 i
<br />'30
<br />1562.1
<br />209.12
<br />30
<br />.1945.0
<br />.321.1
<br />40
<br />1200.5.
<br />124.41 1
<br />'40
<br />11571.0
<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 />213.86
<br />50
<br />1963.6
<br />' 327.1
<br />24-
<br />1217.9
<br />128.00
<br />31
<br />1589.0'•
<br />216:3
<br />3S
<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 />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.f'1261.5
<br />137.23
<br />50
<br />1633.9
<br />228.4
<br />" '50
<br />2019.6
<br />'345.5
<br />:2S
<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 />2066.6 .
<br />-361.3
<br />50 ,'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 />2085,4
<br />"367!7
<br />10
<br />1331.6j
<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 ,-1366.8.
<br />160.76 1
<br />"50
<br />1742.6
<br />259.1
<br />50
<br />2132.7,
<br />384.1
<br />2T "
<br />1375.6`
<br />162.81:
<br />34 -
<br />1751.7
<br />261.8
<br />41.--
<br />-2142.2
<br />;387:4
<br />-10
<br />1384.4
<br />164.86
<br />10
<br />1760.8
<br />264.5
<br />_
<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 />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 />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 j
<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 ,,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 />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 Curve 5°'
<br />10°' 15°
<br />20°`
<br />25°
<br />30°
<br />35°
<br />40?
<br />45°'
<br />50°
<br />55°
<br />=600
<br />-650 70°
<br />Angle
<br />20o T=.06
<br />.13 .19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65
<br />.72
<br />.79
<br />.84 -.90
<br />E=.006
<br />.011 .017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051
<br />'.057
<br />.063
<br />'.070
<br />.076 .083
<br />250 T=:08 .
<br />.16 .24
<br />.33
<br />.40
<br />.49
<br />.58
<br />,.67
<br />.75
<br />':83
<br />.90'
<br />.99
<br />1.06 1_.14
<br />E=.009
<br />.018 .027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />:.083
<br />.093
<br />:106
<br />.120
<br />.127 .135
<br />'300 T=.10
<br />.19 .29
<br />.39,
<br />,.49
<br />.59
<br />.69
<br />.79
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29 1.39
<br />E=..013
<br />.025 -.038
<br />.051
<br />.065
<br />.078
<br />.090
<br />.103
<br />.116
<br />.129
<br />'.149
<br />.170
<br />.179 .188
<br />'31° T=.11
<br />.22 .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 1.66
<br />, E=.018
<br />.035 .054
<br />.072
<br />.086
<br />.109
<br />.131
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247 .264
<br />• 400 T=:13
<br />.26 .40
<br />.53
<br />.67
<br />.80
<br />.93
<br />1:06
<br />1.20
<br />1.34.
<br />1.49
<br />1.64
<br />1.79 1.94
<br />E=.023
<br />.046 .070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />.277
<br />.290
<br />.315 .341
<br />45° T=.15
<br />.30 .44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.87
<br />2.04 2.21
<br />.
<br />E=.030
<br />.060 .093
<br />.119
<br />.153
<br />'.184
<br />216
<br />254
<br />.289
<br />325
<br />.351
<br />.378
<br />.411 .446
<br />11
<br />
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