|
a
<br />II' TABLE I. - Tangents and Externall3 td a P Curve.
<br />ChoM=100 ft.
<br />Int.
<br />Angle
<br />'Tangent
<br />Extel i I
<br />Int:
<br />','Angle _
<br />: ; . ..,
<br />Tangent
<br />- ': -
<br />External
<br />Int.
<br />. Angle
<br />TangenF49.
<br />70°
<br />1'
<br />50',00
<br />. :22_,:8'
<br />:OS
<br />400:66
<br />13.99-..15°
<br />.16
<br />754.32.10,
<br />.23
<br />E=.000
<br />58.34
<br />.30
<br />10'
<br />401).03
<br />- 14.58
<br />10'
<br />76`d:8o66.-67-iC'j
<br />.065
<br />10° T =.03
<br />.05
<br />!.39
<br />-`z-lUr
<br />x417•;41
<br />15.18
<br />20
<br />771':29.49_
<br />..46
<br />E =:001
<br />.003
<br />_.004 ,006
<br />+'.. 30
<br />425..70 -_ml
<br />5.So
<br />30
<br />779.77
<br />.020
<br />40
<br />83,34
<br />61
<br />40
<br />434.17
<br />.16.43
<br />40
<br />788'.25
<br />53.97
<br />50
<br />1)1,68
<br />.73
<br />50
<br />442.55
<br />17.07.
<br />50,
<br />.796.75,;
<br />55.13
<br />3
<br />100.01 ',
<br />87
<br />-.9
<br />450-93.
<br />17.72
<br />1G _
<br />805.25
<br />. 56.31
<br />_10
<br />Imi35
<br />1_03.
<br />10,'
<br />459-32
<br />18.38
<br />'- Lb
<br />813.75
<br />57.50
<br />20
<br />116'.68'
<br />1.19-
<br />-'20
<br />-407,71
<br />19.06
<br />20.
<br />''822.25
<br />58.70.
<br />30
<br />_:125.02
<br />1'1.36
<br />r- 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 />839:27
<br />61.14
<br />50
<br />141.70
<br />I A
<br />50`
<br />492,•86
<br />21..16.'
<br />50
<br />'847:78
<br />62.38
<br />J3
<br />150"D4
<br />1.96
<br />10
<br />501.28
<br />21.89
<br />17"
<br />856.30
<br />63-63
<br />16
<br />158.3S
<br />2.19
<br />10
<br />509:68'
<br />22.62
<br />10
<br />'. 864:82
<br />G4-90^
<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 />BO
<br />526.48.
<br />24.14
<br />30
<br />881.88
<br />%7-47
<br />40
<br />183-,40
<br />2.93
<br />40
<br />534:89
<br />24.91
<br />40
<br />890.41
<br />69-77
<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 />007.49
<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 />024:58
<br />74.12
<br />30
<br />225.12
<br />:4 42:
<br />.' 30
<br />•576.05
<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 />041.69
<br />76.86
<br />50
<br />241.61
<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 />. 1.2 '
<br />6027?1
<br />; .'31.66
<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 />967.35
<br />81.01)
<br />20
<br />266.56'
<br />6.21`
<br />20
<br />610-.07,
<br />33.35,
<br />20 '.;975.96
<br />2094-.0
<br />82.53
<br />30
<br />275.21
<br />6,61
<br />30
<br />627:50:
<br />34.20,
<br />r-30'
<br />984,53
<br />83.97
<br />40
<br />283,57
<br />7.01
<br />40
<br />635.03
<br />35.18-'
<br />` ' 40
<br />993,12
<br />85.43
<br />50
<br />291.02
<br />.7.43
<br />50•
<br />644:37
<br />36:12-
<br />.. 50.
<br />1001.7
<br />86.90
<br />6
<br />300,28
<br />7.86
<br />13-
<br />652.51
<br />37.07
<br />20 `
<br />1010.3
<br />83.39
<br />10
<br />308.64
<br />8.31
<br />10
<br />'661.25
<br />38.03
<br />10
<br />1018.9
<br />89.59
<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 />6S6.60
<br />40.99
<br />40
<br />1044.7
<br />91.46
<br />50
<br />342.08
<br />10.20
<br />50
<br />605.06
<br />42.00
<br />$0
<br />1053.3,
<br />96.01
<br />7
<br />350.44
<br />10.71
<br />14
<br />703:51
<br />43.03
<br />R1
<br />]061,9
<br />97-57-
<br />10.
<br />358.81
<br />11.22
<br />10
<br />713:97
<br />44.07
<br />10
<br />1070.0
<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 />1.00.75
<br />30`
<br />375.54
<br />12.29
<br />30
<br />728:90
<br />'46.1S
<br />30 .1087:8
<br />2218.6
<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 />Corrections tobe Added (T=Tangent. E=External.)
<br />Ant Cum: S°
<br />10°
<br />15° 20°
<br />25°
<br />30° 35°- 40°
<br />45° 50°
<br />55°.
<br />60° 65°,
<br />70°
<br />5° T=.02
<br />.03
<br />05- .06
<br />:OS
<br />10 .11 .13
<br />'-A02
<br />15 .16
<br />.16
<br />.20 .21
<br />.23
<br />E=.000
<br />.000
<br />.001 :001
<br />.002
<br />.002 .003
<br />.003 .004
<br />.0D4
<br />.004 :005
<br />.065
<br />10° T =.03
<br />.05
<br />.09 :13
<br />.10
<br />.19 -42 1 .25
<br />.28 .31
<br />.34
<br />.38 A2
<br />..46
<br />E =:001
<br />.003
<br />_.004 ,006
<br />-007
<br />-008 .00D All
<br />•012 .014
<br />.015
<br />.017 .018
<br />.020
<br />15° T=.OI
<br />•10
<br />.14 19
<br />.2-1
<br />.29 .34 .39
<br />,45 .51
<br />.53
<br />.58 G3
<br />.68
<br />E =.003
<br />,007
<br />.010 .014
<br />.018
<br />.023 .027 .029
<br />.032 .035
<br />,039
<br />.043 .017
<br />.051
<br />20° T=-06
<br />.13
<br />.19 -2G
<br />.32
<br />.3D .45 ai
<br />.58 A5
<br />.72
<br />.79 .84
<br />.90
<br />1'= .000
<br />.011
<br />.017 -022
<br />.028
<br />.034 .038 A15
<br />.051 .057
<br />.053
<br />.070 076
<br />.083
<br />25° T=.03
<br />.16
<br />.24 .33
<br />,40
<br />.49 .59 :67
<br />.75 .83
<br />1 ,90 1
<br />99 1.06 ,11.114
<br />318.1
<br />E=.009
<br />.018
<br />.027 .036
<br />.046
<br />.056 .065 .074
<br />.083 .093
<br />.1N
<br />".120 .1271
<br />.135
<br />TADLU L -'Tangents and Externals to a 1'. Curve.
<br />Chord =100 f t.
<br />Irit. ,
<br />='Angle-
<br />Tangent
<br />External
<br />-
<br />Int•
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />55°
<br />1113:7
<br />107.24
<br />2D° .
<br />1481.8
<br />188-51
<br />36°
<br />1861.7:
<br />294.9
<br />i 10/
<br />1122;,4
<br />108.90
<br />10'
<br />1490.7
<br />199.74
<br />10'
<br />187Q.9.
<br />297.7
<br />20''
<br />�r_131.0
<br />110.57
<br />20
<br />1499.6.
<br />192-99
<br />20
<br />1880.1
<br />300,fi
<br />3U
<br />'113U.7
<br />112.2.5
<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 />;'1,517 : 4
<br />197.53
<br />40
<br />1898.6,
<br />306.4
<br />50
<br />1157.0
<br />115.66
<br />j, `60
<br />1526.3
<br />.199.82
<br />50
<br />1907.9
<br />.309.3
<br />,23.
<br />11G5-7
<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
<br />30
<br />1562.1
<br />209-12
<br />30
<br />1945.0
<br />321:1
<br />-40
<br />1200,$
<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 />1:6.20
<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 />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 />1606.9
<br />221.1
<br />20
<br />1991.5
<br />336.3
<br />30
<br />.1244:0
<br />13:3.50
<br />30
<br />1615.9
<br />223.5
<br />30
<br />2000.9'
<br />339.3
<br />40
<br />1252.$
<br />135,35l.,40
<br />' 1624:9,
<br />226.0
<br />:, .40
<br />2010.2
<br />342.4
<br />50
<br />1261.b
<br />137.23.
<br />50,1633:9,
<br />.378
<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;03
<br />_ 343:6
<br />1279-0
<br />141.01
<br />10
<br />1652.0
<br />233.4
<br />10
<br />2038.4
<br />351.8
<br />_10
<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 />g . 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 />1 50
<br />1688.1
<br />243.5
<br />.'50
<br />2076.0
<br />364.5
<br />126 -
<br />1322.8
<br />150..71
<br />1697.2.
<br />246:1-
<br />40 -
<br />2085.4 -
<br />307.7
<br />10
<br />1331.6
<br />152.69
<br />•33
<br />',' 1a
<br />1706.3,
<br />248.7
<br />10
<br />2094-.0
<br />371,0
<br />=. 21)
<br />1340.4
<br />154.69
<br />20:
<br />`1715.3;
<br />25:1:3
<br />20
<br />2104.3
<br />374,2
<br />30
<br />1359.2
<br />156:70
<br />'30
<br />1724.4
<br />253.9
<br />30
<br />21.13.8
<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 />13W S
<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 />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 />'. 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 />21.7U.S
<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 />1125.6
<br />175,41 '.35
<br />1806;61
<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 />X2209.0'
<br />. 411.1
<br />20,
<br />1446.3
<br />179.72
<br />2U'
<br />1824.9
<br />283.0
<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 />186.29
<br />50
<br />1852.5
<br />202.0
<br />50
<br />2247.3
<br />.425.0
<br />�- Corrections to be Added (T =Tangent. E=External.)
<br />-Int.
<br />Angle
<br />Curvo5°
<br />10° 15°
<br />20°
<br />25°
<br />30°
<br />35° 1 40°
<br />1 45°
<br />SO'
<br />55°
<br />60°
<br />65°
<br />70°
<br />20°
<br />T =.06
<br />.13 ,19
<br />.26
<br />.32.39
<br />.45 .51
<br />.58
<br />.65
<br />.72
<br />.79
<br />.84
<br />.90
<br />E =.006
<br />.011 '.017
<br />.022
<br />'028
<br />.034
<br />.038 .045
<br />.051
<br />.057
<br />.063
<br />.070
<br />•.076
<br />.083
<br />25°
<br />T =.08
<br />.16 .24
<br />.33
<br />.40
<br />.49
<br />.58 .67
<br />.75
<br />.83
<br />.90
<br />.9D
<br />1.06
<br />1.14
<br />E=.009
<br />.018 .027
<br />.030
<br />,046
<br />A56
<br />.065 .074
<br />.083
<br />.092
<br />.106
<br />.120
<br />.127
<br />.135
<br />30°
<br />T =.10
<br />.19 .29
<br />.39
<br />.49
<br />.59
<br />.69 .79
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39
<br />F=.013
<br />.025 .038
<br />.051
<br />.055
<br />-078
<br />.090 .103
<br />.116
<br />.129
<br />.149
<br />.170
<br />.179
<br />.188
<br />351
<br />T=.11
<br />.22 .34
<br />.47
<br />-.53
<br />.69
<br />.80 .93
<br />1.05
<br />1.17
<br />1.29
<br />1.42
<br />154
<br />1.66
<br />E=-018
<br />.035 .054
<br />.072
<br />.066
<br />.109
<br />.131 .153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247
<br />.264
<br />40°
<br />T=.13
<br />26 .40
<br />.53
<br />.67
<br />.80
<br />.93 1.06
<br />11.20
<br />1.34
<br />1.49
<br />11 64
<br />1.79
<br />1.94
<br />E=.
<br />•.046 .071)
<br />.093
<br />.117
<br />.141
<br />,172 .203
<br />.234
<br />.265
<br />.277
<br />:290
<br />.315
<br />.341
<br />45° -
<br />T=.15
<br />,30 .44
<br />.60
<br />.76
<br />.91
<br />1.06 1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.67
<br />2.04
<br />2.21
<br />1 =c030
<br />.060 .093
<br />.119
<br />.153
<br />.184
<br />.216 .254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />0
<br />
|