|
II TAmm I. - Tangents and Externals to a 1° Curve.
<br />Chord= 100 ft.
<br />fit'
<br />Angle
<br />Tangent
<br />Erternal
<br />Int.
<br />Angle....
<br />Tau ent
<br />8
<br />External.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />1°
<br />60.00
<br />-.22-
<br />8°'��.
<br />400;66
<br />' _ 13.99
<br />15° '-.'
<br />•754.32
<br />49.44
<br />101
<br />68.34_
<br />.30
<br />.
<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 />-. 20_
<br />771.29
<br />51.68
<br />30
<br />751-01_,
<br />;";.49.
<br />.-30
<br />425.79
<br />15:80
<br />30
<br />77977
<br />52,82
<br />_
<br />40
<br />83,34
<br />.61
<br />40
<br />434.17
<br />16.43
<br />40
<br />788.26
<br />53.97
<br />50 _
<br />91.68,
<br />.73;
<br />-
<br />50.
<br />.442.55.
<br />17.07,.
<br />..50•,
<br />798;75,
<br />. 55.13
<br />2
<br />100.014
<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 />57.500
<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.
<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 />6 ' '
<br />150.04
<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 />-518.08
<br />-23.38-,.20.
<br />16 `.1982.2
<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 />a
<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
<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 />, 40
<br />941.69
<br />76.86
<br />50
<br />241.81
<br />5.10
<br />_
<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 />12 •'
<br />-602.21..-31.56
<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 />.34:28-
<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 />993.12
<br />85.43
<br />50
<br />291.92.
<br />7.43
<br />y 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 />.652.81
<br />•37.07
<br />29.'
<br />1010.3 _.
<br />88.39
<br />10
<br />308.64'.
<br />.'8.31
<br />10 ..661.25.
<br />1751:7
<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 />3036.1
<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 />763.51`
<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 />1070.6
<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 />30375.54
<br />1446.3:
<br />;_ 12:29
<br />80
<br />1824.9
<br />-46.18-
<br />: 30-
<br />1087:8.',
<br />-102.35
<br />40
<br />383.91
<br />12.85'
<br />40
<br />,_•728.90
<br />737.37
<br />47.25'.
<br />40
<br />1096.4
<br />103.97
<br />60
<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 />Int. Curve 5°
<br />Angle
<br />10° 15° 200'25° 30?,
<br />35°.
<br />40° 45° 50°
<br />55°
<br />60°,
<br />65°
<br />70°
<br />External
<br />22°
<br />1113.7
<br />.107.24
<br />290-
<br />1481.8:
<br />188.51
<br />36°
<br />5o T=.02,03
<br />'.05 .06 .08' .10
<br />.:11
<br />.13. .15 .16
<br />.18
<br />.20
<br />.21
<br />.23
<br />E =.000
<br />.000 .001 .001 .002 .002
<br />-.002
<br />.003 ':003 .004
<br />.004
<br />.004
<br />:005
<br />:005
<br />loo T=.03.06
<br />.09 .13-� .16 .19
<br />.22
<br />.25 ':28.; ,:31
<br />:34
<br />.38
<br />:42
<br />- ..46
<br />E =.001
<br />.003 .004 ..006 .007 .008
<br />.009
<br />.011 .012 -.014
<br />:015
<br />.017
<br />:018
<br />:.020
<br />15° T=.04
<br />.10, ':14 .19 .24 '.29
<br />.34
<br />.39 .45 .51
<br />,:53
<br />.58
<br />:63
<br />.68
<br />E =.003
<br />.007 :010 .014 .018 .023
<br />.027
<br />.029 .032 .035
<br />•.039
<br />..043
<br />.047
<br />.051
<br />20° T-.06.-
<br />-.13 :19 .26 .32 ,39
<br />.45
<br />.51 .58 .65
<br />".72
<br />.79
<br />.84
<br />.90"
<br />E=.006
<br />.011 .017 .022 .028 ,034
<br />.038
<br />.045 .051 .057
<br />.063
<br />.070
<br />':076
<br />.083
<br />25o T=.08
<br />.16 .24..33 .40 .49
<br />.58
<br />.67 .75 .83
<br />.90
<br />.99
<br />1.06
<br />114
<br />E=.009
<br />.018 .027 .036 .016 .056
<br />.065
<br />.074 .083 .093
<br />.108
<br />.120
<br />.127
<br />,135
<br />TAB1lm L = Tangents and Extern`ale-to a 1 -Curve.-
<br />Chord=' 100 ft; -
<br />Angle
<br />Tangent
<br />External.
<br />Angle '
<br />Tangent
<br />External
<br />Int.. •.,
<br />Angle
<br />Tangen£
<br />External
<br />22°
<br />1113.7
<br />.107.24
<br />290-
<br />1481.8:
<br />188.51
<br />36°
<br />1861% 7i
<br />•.294':9
<br />10t:
<br />'1122,'4
<br />108.90
<br />101
<br />.1490.7
<br />190,74
<br />lb,
<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 />1'.09 1:20"
<br />'.149 .170
<br />113.95
<br />40
<br />1517.4.
<br />197.53
<br />40 ,•1898.0'
<br />.47
<br />.072
<br />306.4
<br />-50
<br />•1148.4
<br />1157.0;
<br />115.66
<br />'50
<br />1526.3'
<br />199.82
<br />"'50 :
<br />1907.9`
<br />,.`309.3 ,
<br />'.40
<br />-.070
<br />.53,-
<br />.093
<br />.67
<br />.117
<br />:80 • .93
<br />:141:'.172
<br />1.06
<br />.203
<br />1.20
<br />.234
<br />1.34
<br />.265
<br />1.49 1.64'`
<br />.277..290
<br />1.79 1:94
<br />:315.371
<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 />'301191.8'.
<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 />1209.2.
<br />126.20
<br />50
<br />1580:0
<br />213.86
<br />'50
<br />1963.61
<br />327.1
<br />2S
<br />1217.9.
<br />128:00
<br />31 '-
<br />'1589:0
<br />216.3
<br />'36 1
<br />'1972.9.
<br />•330.2
<br />Ib
<br />1226.6:
<br />129.82
<br />;10
<br />.1598.0 ;
<br />218.7
<br />16 `.1982.2
<br />:.333.2
<br />'20
<br />1235,3:
<br />131-65
<br />-20
<br />1606.9
<br />221,1
<br />k
<br />1991'.'5.
<br />"338.3
<br />30
<br />1244,0
<br />133.50
<br />30
<br />1615.9
<br />223.5
<br />.20
<br />.30
<br />2000: 0;
<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
<br />1261:5
<br />137.23
<br />`50
<br />1633:9
<br />'228.4
<br />-50 ''20197.6
<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 />1652.0
<br />233.4
<br />•10
<br />2038.4;
<br />:351.8
<br />20
<br />1287.7
<br />142.93
<br />20
<br />1667.0
<br />235.9
<br />80
<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 />1305.8
<br />146.79
<br />; '401679.1
<br />241.0
<br />'40
<br />2066:6
<br />.361 ,3
<br />`3(4,3
<br />50
<br />131410,
<br />148.75
<br />-50
<br />1688:1
<br />243.5
<br />"- 50
<br />-2076.0i
<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 />1331:6'
<br />152,69
<br />10
<br />1706A
<br />248.7
<br />:10 ':2094.9;
<br />371.0
<br />' . 20
<br />4
<br />154.69
<br />`.-20
<br />1715.3
<br />251.3
<br />` 20
<br />2104.3
<br />374.2
<br />;1340,
<br />1349,.2;
<br />156.70
<br />30
<br />1724:4
<br />253.9
<br />30
<br />2113.8-
<br />:377.5
<br />•-30
<br />40
<br />1358.0
<br />158.72
<br />•'40
<br />1733:5
<br />258.5
<br />40
<br />'2123.3•.
<br />''380.8
<br />50,.
<br />1366-.8:
<br />160.76
<br />50
<br />1742.6
<br />259.1
<br />`50
<br />2182:7-
<br />'$84-.1
<br />.27, \
<br />-1375.6
<br />162:81
<br />34 --
<br />1751:7
<br />261.5
<br />8.
<br />1 =' 4
<br />-2142.2
<br />-.387.4
<br />10
<br />1384.4`.
<br />164.86
<br />10
<br />1760.8
<br />264.
<br />10
<br />2151.7
<br />.390.7
<br />:'20
<br />1393.2:
<br />166.95
<br />1
<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 />•'301779:1
<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 C..
<br />2199.4
<br />•407:6
<br />10
<br />1437.4'
<br />177.55
<br />1815.7
<br />280.8
<br />-•30
<br />8209:-0'
<br />-411.1
<br />20
<br />1446.3:
<br />179.72
<br />•10
<br />20
<br />1824.9
<br />283.6
<br />20
<br />2218.6:
<br />414.5
<br />-418.
<br />30
<br />181.89
<br />.30
<br />1834.1•
<br />286.4
<br />30
<br />2228.1
<br />0.
<br />40
<br />.1455.1:
<br />184.08
<br />40
<br />1843.3
<br />289.2
<br />"' 40
<br />2237:7
<br />;421.4
<br />50
<br />.1464.0.
<br />1472.9`:;
<br />186.29
<br />`50
<br />'1852:5
<br />292.0
<br />50
<br />2247.3:
<br />425.0
<br />--s
<br />Corrections to=be Added'(T-=Tangent:-•,,E=External:)
<br />Int.
<br />Angle
<br />: Curve 5°
<br />100
<br />15°
<br />206
<br />"25°.
<br />'30° 35°
<br />45°
<br />50? j
<br />55° 1 60°
<br />'65* -W
<br />200.
<br />T=,08 :
<br />E=.008
<br />.13
<br />.011
<br />.19
<br />-.017
<br />26.
<br />.022
<br />".32
<br />.028
<br />.39. .45
<br />'.034 :038
<br />:51
<br />.045
<br />.58
<br />.051
<br />:65
<br />.057
<br />.72 .79'
<br />.063 .07
<br />'.84 .90
<br />.076 .083
<br />25' -
<br />: T=M- .
<br />E=.009.
<br />.16
<br />.018.._.027
<br />.24
<br />33
<br />.035
<br />`.40 .
<br />.046.
<br />.49 . .58
<br />.056 =.065
<br />_ :67
<br />'...OZ4
<br />, .75
<br />,083
<br />:.83
<br />:--093,
<br />90 .99
<br />106 :120
<br />1.08 1.14
<br />.:127 ..135
<br />3U o . '
<br />T=,10
<br />E=.013
<br />:19
<br />.025
<br />.29 ,
<br />'.038'
<br />.39
<br />.051
<br />•.49
<br />.065
<br />:59 ..69
<br />.078 :090
<br />.79
<br />.103
<br />.89
<br />.116
<br />.99.
<br />'.129
<br />1'.09 1:20"
<br />'.149 .170
<br />1.29, 129
<br />".179 _.188
<br />. T=,11 ' .
<br />E=.018
<br />'.22
<br />.035
<br />..34
<br />.054
<br />.47
<br />.072
<br />.58
<br />:086
<br />-.69 .80
<br />.109 .131
<br />.93
<br />..153
<br />1.05.
<br />..175
<br />1.17.
<br />:197
<br />1.29 1.42
<br />.213 .230
<br />1.54 1.68
<br />247 284
<br />-+40'
<br />T=.13
<br />E=.023.
<br />.26
<br />.046
<br />'.40
<br />-.070
<br />.53,-
<br />.093
<br />.67
<br />.117
<br />:80 • .93
<br />:141:'.172
<br />1.06
<br />.203
<br />1.20
<br />.234
<br />1.34
<br />.265
<br />1.49 1.64'`
<br />.277..290
<br />1.79 1:94
<br />:315.371
<br />:451
<br />'
<br />E=.030
<br />.060
<br />.093
<br />1109
<br />153
<br />184 1.216
<br />21
<br />1 :25411:289
<br />1 325
<br />1.70 351 1378
<br />2.411 2 445
<br />A)
<br />
|