|
TAmn I. --Tangents anll Externals to a 1° Curve.
<br />Chord=100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />'Tnt. a
<br />Angl
<br />Tan ent
<br />g.
<br />Extenal
<br />Int.
<br />Al
<br />Tangent
<br />External
<br />• 1.
<br />50.00
<br />.22
<br />8"
<br />400.66
<br />13.99
<br />15°
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14,58
<br />•_:10'
<br />762.80
<br />50.55
<br />20
<br />66:67
<br />.39
<br />20`_
<br />4.17.41
<br />15.18
<br />20
<br />771.29
<br />51.68
<br />30
<br />75.01,49
<br />--.05
<br />":30'
<br />425:79
<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 />788.26
<br />53.97
<br />50
<br />91.68
<br />,73
<br />50•
<br />.442.55
<br />:17.07
<br />50
<br />796:75
<br />55.13
<br />.14 .19 .24: .29
<br />100.01=
<br />.87
<br />9 %-
<br />4:50.93
<br />17.72
<br />10
<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 />40
<br />133.33
<br />1.55
<br />40
<br />484.49
<br />20.451
<br />40
<br />839:27
<br />G1. 14
<br />50
<br />141.70
<br />1.75•
<br />.. 50-
<br />-402.S8
<br />' 21.16'
<br />:50
<br />847.78
<br />•62.33
<br />.90
<br />150.04
<br />1.96
<br />10,.:'
<br />.501:28
<br />''• 21^80 :
<br />17
<br />856:30
<br />03.63
<br />10.
<br />158:38
<br />2.19
<br />10
<br />.509.68
<br />.,22.62.
<br />.-10,..864:82
<br />-1982.2:
<br />64.90
<br />" 20"
<br />166.72
<br />2:43'
<br />20 '
<br />518.08--23.38:
<br />221.1
<br />"20:
<br />'873:35
<br />" 66.18
<br />30
<br />175.06
<br />_ 2.67
<br />30
<br />52G.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 />X50
<br />'543.29
<br />25.70
<br />50
<br />698.05
<br />70.09
<br />+25
<br />1270:2
<br />139.41
<br />32
<br />'1643.0
<br />230.9
<br />' 39.''
<br />2029.0
<br />348:($
<br />4 ..200.08
<br />'1279.0
<br />3.49
<br />11
<br />•551-.70
<br />26.50
<br />1B•
<br />007.49,
<br />71.42
<br />to
<br />'208.43
<br />3-:79
<br />''10
<br />560'.11
<br />27.31
<br />10'
<br />918:03
<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 />;50
<br />593.70
<br />WAS
<br />.50
<br />950,25
<br />78.26
<br />5
<br />250.16
<br />5:46
<br />12
<br />602.21
<br />.31.56
<br />19
<br />958.81
<br />' 79.67
<br />10
<br />253.51
<br />5.S3
<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
<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 />300.28
<br />7.85
<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-:1018:0
<br />'
<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 />-3Q
<br />678.15.
<br />39.90'
<br />' 30
<br />103611
<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 />695.05'
<br />_42.00
<br />50 ',1053.3_
<br />2199.4
<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 />353:81_
<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 />12,20-
<br />30
<br />728.90
<br />.46. 18
<br />30
<br />1087.8
<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 to be Added (T=' Tangent. E = EllternaL)-.
<br />Int'e
<br />Angl
<br />Curve 5°
<br />10°
<br />15° 20°' 25° 30°
<br />.
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />-70°
<br />5°
<br />T=.02
<br />.03.05
<br />.06 .03 .10
<br />.11
<br />.13
<br />.15
<br />.16
<br />.18
<br />:20
<br />.21
<br />:23
<br />10'
<br />E=.000
<br />-000
<br />.001 -001 .002 .002
<br />,002
<br />.003
<br />.003
<br />.004
<br />^004
<br />^004
<br />_.005
<br />.005
<br />10°
<br />T,-03
<br />--.05
<br />.09 .13 -.16 .19
<br />.22
<br />.25
<br />.28'
<br />.31
<br />.34
<br />.38
<br />.42
<br />_46
<br />40
<br />E =.001
<br />.003
<br />.004 .006 .007 .008
<br />.007
<br />-011
<br />.012
<br />.014
<br />.015
<br />.017
<br />.018
<br />.020
<br />750
<br />T=.04
<br />.10
<br />.14 .19 .24: .29
<br />.34
<br />.30
<br />.45
<br />.51
<br />,63 ..53
<br />a8
<br />.63.63
<br />312,2
<br />:10
<br />=
<br />E .003
<br />.007
<br />.010 .014 .018 .023
<br />.027
<br />..02D
<br />.032
<br />.035
<br />.039
<br />.043
<br />.047
<br />_051
<br />2U°
<br />T=.06
<br />.13
<br />^19 .26 .32 .39
<br />.45
<br />.51
<br />.58
<br />.65
<br />'.72
<br />.70
<br />.84
<br />.90
<br />30
<br />E=.006
<br />.011
<br />.017 .022 A28 '.034
<br />,038
<br />.015
<br />.05I
<br />.057
<br />.053
<br />.070
<br />.076
<br />.083
<br />25°
<br />T=.08
<br />.16
<br />.24 .33.40 .49
<br />.58
<br />.67
<br />.75'.
<br />.83
<br />.90
<br />.90
<br />1.66
<br />1.14
<br />31'--' -
<br />E=.009
<br />x,.018
<br />.027 .036 ^045 .,056
<br />,065
<br />.074
<br />..083
<br />.093
<br />.106
<br />.120
<br />.127
<br />.135
<br />TADa L --Tangents z�dd Externals to a 1:0'Curve.' ZII
<br />(',hnrrl=100ft.
<br />Angie _
<br />Tangent l
<br />l:xtenml
<br />'p n$je
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />Extera^1
<br />SD°
<br />1113.7
<br />107.24
<br />299
<br />1481.8
<br />188.51
<br />36°
<br />1861.7
<br />294.9
<br />10?
<br />1122.4
<br />108.90
<br />1W
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />20 'A
<br />01.0
<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 />1880.4.
<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 />'33
<br />1165.7
<br />117:33
<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 />16
<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 />.30-1191.8
<br />_
<br />35°
<br />122.63
<br />30
<br />`1562.1
<br />209.12
<br />30
<br />1945,0,
<br />321.1
<br />'40
<br />100.5
<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 />213.80
<br />50
<br />1963.6;
<br />327.1
<br />124 ' '
<br />'1217.9
<br />128-00
<br />31'--' -
<br />1 1,589:0
<br />21653
<br />39•
<br />1972.9
<br />330.2
<br />10
<br />1226.6
<br />129.82
<br />*10
<br />15US-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 />y 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 />1624.0
<br />226.0
<br />^40
<br />2010.2.
<br />342.4
<br />50
<br />1261.5'
<br />137.23
<br />50
<br />11633.9
<br />228.4
<br />50
<br />2019.61
<br />345.5
<br />+25
<br />1270:2
<br />139.41
<br />32
<br />'1643.0
<br />230.9
<br />' 39.''
<br />2029.0
<br />348:($
<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 />-B0
<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 />4305:3
<br />140.79
<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 />50
<br />°1088^1
<br />243.5.
<br />- 50
<br />.2076.0
<br />364.6
<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 />3331.6
<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 />7171.5:3
<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 />3U.
<br />2113.8
<br />377.5
<br />" 40
<br />'1358.0
<br />158.7240
<br />1733.5
<br />250.5
<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 />2132.7
<br />384.1
<br />427
<br />1375.6
<br />162.S1'
<br />;34
<br />1751.7
<br />261.8-
<br />41-
<br />2142.2
<br />387.4
<br />f 10
<br />1384:4
<br />164.56
<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 />2170.8
<br />397.4
<br />r'- 40
<br />1410.9
<br />171-,15
<br />.40
<br />11788.2
<br />272,6
<br />40
<br />2180.3
<br />400.8
<br />%50
<br />1419.7
<br />173.27'
<br />60
<br />1797.4
<br />275.3
<br />50
<br />2189,0
<br />404.2.
<br />23 -
<br />1428.6
<br />175.41
<br />35
<br />1806.6
<br />278.1'
<br />42
<br />2199.4
<br />407.0
<br />10
<br />.1437.4
<br />177.b5
<br />10
<br />1315:7
<br />280.8
<br />FO
<br />2209.0
<br />411.1
<br />20
<br />1446.3
<br />179.72
<br />20
<br />1324.9
<br />283.6
<br />20
<br />2218.6
<br />414.5
<br />30
<br />^,
<br />1455.1
<br />181.89
<br />30
<br />1824:1
<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 />1352.5
<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°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35° 49°
<br />45°
<br />SD°
<br />55°
<br />b0° 65°.
<br />70°,
<br />20°
<br />T'-.06
<br />.13
<br />.19
<br />_26
<br />.32
<br />.39
<br />.45 .51
<br />.58
<br />G5
<br />.72
<br />•79 .84
<br />90
<br />E -.006
<br />.011
<br />,017
<br />.022
<br />.028
<br />^034
<br />^038 ^045
<br />.051
<br />.057
<br />^063
<br />.070 .076
<br />^083
<br />ZS°
<br />T
<br />4
<br />.33
<br />•.40
<br />..49
<br />.58. .67
<br />.75
<br />.83
<br />•90
<br />.90 1.06
<br />1.14
<br />P =.009
<br />27
<br />-.036
<br />.046
<br />.055
<br />AN) .074
<br />^083
<br />.093
<br />.106
<br />.120 .127
<br />.135
<br />S0°
<br />T=.10
<br />K.22.34
<br />9
<br />.39
<br />•.49
<br />.59
<br />.G9 .79
<br />.89,
<br />.99
<br />1.09
<br />1.215 1-29
<br />L39
<br />l =.013
<br />38
<br />.061
<br />.055
<br />.078
<br />A90 .103
<br />.116
<br />-129
<br />-149
<br />.170 .179
<br />.188
<br />_
<br />35°
<br />T =.Si
<br />.47
<br />58
<br />.69
<br />'.80 .93.
<br />1.D5
<br />1.17
<br />1_.29
<br />1.42 1.54
<br />1^66
<br />E=.018
<br />54
<br />.072
<br />.080
<br />.1179
<br />.131 .153
<br />.175
<br />.197
<br />.213
<br />.230 '47
<br />164
<br />40°
<br />T-33
<br />.26
<br />.40
<br />.53
<br />.G7
<br />.30
<br />.93 1.06
<br />'1-20
<br />1.31
<br />1.491.79
<br />1.94
<br />E =.023
<br />.016
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172 _203
<br />.234
<br />.265
<br />171
<br />.290 .315
<br />^341
<br />45a
<br />T=.i5
<br />.30
<br />.44
<br />:60
<br />.75.
<br />.01
<br />1.06 1.21
<br />1.37
<br />1^52
<br />1.70
<br />F.87 2.0
<br />2.21
<br />E =.030
<br />_050
<br />.093
<br />:11
<br />i
<br />.153
<br />.134
<br />.216 .254
<br />.289
<br />.325
<br />351
<br />,378 .411
<br />A45
<br />
|