|
I`!TABLE I. - Tangents and Externals to a-1° Curve.
<br />Chord =100 ft.
<br />Iat:.
<br />Angle, •
<br />Tangent
<br />Eaternal�
<br />. Angle
<br />Tangent External
<br />Angle .
<br />Tangent
<br />External
<br />40°
<br />2257.0
<br />428.5
<br />50°
<br />2671.8
<br />592.3
<br />57° ,
<br />3110.9
<br />790.1
<br />10'
<br />.2266:6
<br />432.0
<br />10'
<br />2681.9
<br />596.6
<br />10'
<br />3121.7
<br />795.2
<br />20 •
<br />2276.2
<br />L79
<br />-20
<br />2692.1
<br />600,9
<br />•.20/
<br />:3132.G
<br />800.4
<br />30 -
<br />2285.9
<br />_435.6
<br />439.2,
<br />30
<br />'2702.3
<br />605.3
<br />30
<br />3143:4
<br />805.6
<br />40
<br />2295.6
<br />442:8
<br />'40
<br />2712:5
<br />609.6
<br />- 40
<br />3154.2
<br />810.9
<br />50
<br />,2305.2
<br />446.4
<br />50
<br />2722.7
<br />614.0
<br />50
<br />3165,1
<br />816.1
<br />'.060
<br />'.093
<br />'.119
<br />.153
<br />:184
<br />.216
<br />.254
<br />.289
<br />.325'
<br />44
<br />2314.9
<br />450.0
<br />51
<br />2732.9
<br />619.4
<br />58
<br />3176.0
<br />821.4
<br />10
<br />2324.6,
<br />-453.6
<br />10
<br />2743.1
<br />622.8
<br />10
<br />3186:9
<br />826.7
<br />20
<br />2334.3
<br />457.3'
<br />20.
<br />2753.4
<br />627.2
<br />20
<br />3107.8
<br />832.0
<br />30
<br />2344.1
<br />461.0+
<br />.30
<br />2763.7
<br />631.7
<br />30
<br />3208.8
<br />837.3
<br />40-:.2353.8
<br />.57
<br />464.6;
<br />40
<br />2773.9
<br />636.2
<br />40
<br />3219.7
<br />842.7
<br />50
<br />2363.5
<br />468.4'
<br />50
<br />2784, 2.
<br />610.7
<br />50
<br />3230.7
<br />.848.1
<br />45'
<br />:2373.3:
<br />472. 1,
<br />62 '
<br />2794.5
<br />645.2
<br />59 '-`.
<br />3241.7
<br />853,5
<br />10
<br />.2383.1:
<br />475.8.
<br />10
<br />2804.9'
<br />049.7:
<br />.10.
<br />3252.7
<br />858.9
<br />20..
<br />2392.8
<br />479.6
<br />26
<br />2815.2
<br />.654.3 .
<br />2U '
<br />3263.7
<br />864.3
<br />30
<br />:2402.6•
<br />483.4•
<br />- ., 30
<br />2825.6_
<br />058.8
<br />30
<br />3274.8
<br />869!8
<br />40
<br />2412.4
<br />487.2
<br />40
<br />2835.9
<br />063.4
<br />-40
<br />3285,8
<br />875.3
<br />" 50
<br />'2422.3
<br />491:0
<br />50
<br />2846.3
<br />668.0
<br />50
<br />3296.9.
<br />880.8
<br />.46
<br />2432.1
<br />494:S.
<br />53
<br />2856.7
<br />672.7
<br />60
<br />3308.0
<br />886.4
<br />10
<br />•2441.9
<br />- 498.7
<br />10
<br />.2867.1
<br />677,3
<br />10,
<br />3319.1'
<br />892.0
<br />.'20
<br />.2451:8
<br />502.5
<br />20
<br />2877.5
<br />582.0
<br />20
<br />3330.3
<br />897.5
<br />30
<br />2461.7.-•506.4
<br />3840.5
<br />30
<br />2888.0
<br />686.7
<br />30.
<br />3341.4
<br />903.2
<br />40
<br />247L.5
<br />510.3'
<br />40%
<br />2698.4
<br />091.4
<br />-40
<br />3352.6
<br />90S.8
<br />50
<br />2481.4,
<br />514.3
<br />50(
<br />,2908:9
<br />696.1
<br />50
<br />3363.8
<br />914.5
<br />1862:2
<br />10
<br />3576.6
<br />i
<br />10
<br />4409.8
<br />1500.5
<br />10
<br />-4995.4
<br />47 '
<br />2491.3
<br />518.2•
<br />51 1'.
<br />2919.4
<br />700.9
<br />61 .
<br />3375.0
<br />9,20.2
<br />10
<br />•2501,2'
<br />522.2
<br />: L0
<br />2929.9.
<br />705.7
<br />- 10
<br />3386.3
<br />925.9
<br />20
<br />2511.2
<br />526.1
<br />- .20
<br />2940.4
<br />710.5
<br />20 r
<br />'33 97.5
<br />031.6
<br />30
<br />2.52t,t
<br />530.1.'
<br />.:30
<br />2951:0'
<br />715,3
<br />,'30'
<br />3408,8
<br />937.:3
<br />.40
<br />253t.1.
<br />534.2'
<br />40.
<br />2961.5
<br />720.1
<br />40
<br />3420.1
<br />943.1
<br />-:50'
<br />2541.0
<br />538:2
<br />b0
<br />2972.1
<br />725.0
<br />50
<br />3431,4
<br />948.9
<br />-48
<br />2551.0
<br />542.2•
<br />55,
<br />2982:7
<br />729:9
<br />62,.
<br />3442.7
<br />934.8
<br />10
<br />2561:0
<br />546.3
<br />10
<br />2993,3
<br />734.8
<br />10
<br />3454.1
<br />'960.6
<br />20
<br />`2571.0
<br />550.4`-
<br />20
<br />3003:.9,
<br />739.7
<br />20
<br />3465.4
<br />966.5
<br />30
<br />2581.9
<br />554.5
<br />30.
<br />3014.5'
<br />744.6
<br />30"
<br />3476:8,
<br />972.4
<br />40 :
<br />2591.0
<br />558.6;
<br />40
<br />3025.2,
<br />749,6
<br />40
<br />3488.3
<br />978.3
<br />50 .
<br />,2601,
<br />552.8
<br />50
<br />3035:8
<br />754.6
<br />50
<br />3499:7'
<br />•984.3
<br />40..
<br />2G11.2
<br />566:9
<br />56
<br />3046.5
<br />759.6 '
<br />63
<br />3511.1
<br />900,2
<br />-10
<br />2621:2
<br />571.1,
<br />10
<br />3087.2
<br />764.6•
<br />10
<br />3522.6
<br />996.2
<br />20
<br />2631.3
<br />-575.3
<br />20
<br />30G7..9-
<br />7G9.7
<br />�20
<br />3534:1
<br />1002,3
<br />30
<br />2641.4
<br />579.5
<br />,30
<br />307S.7
<br />774.7
<br />30'
<br />3545.0
<br />1008.3
<br />40
<br />2651.5
<br />583.8.
<br />40
<br />3039.4
<br />779.81
<br />40
<br />3557.2
<br />1014,4
<br />60
<br />2661.6
<br />588.0
<br />50
<br />3100.2'
<br />784.9
<br />503568.7
<br />1020.5
<br />Corrections to be Added .(T = Tangerit. ' E =External.)' -
<br />Int'
<br />Angle
<br />'Curre S°
<br />1D°
<br />:10
<br />20'
<br />25°
<br />30'
<br />35'
<br />40°
<br />45°
<br />50',
<br />55'
<br />60°
<br />651
<br />70'
<br />78°
<br />T=.13.
<br />-.26
<br />'.40
<br />.53
<br />:67.
<br />'.80
<br />•.03
<br />-.JOG
<br />7.203
<br />120
<br />1:34
<br />1.49
<br />1:64.1
<br />L79
<br />1.94
<br />20-
<br />E-.023 -
<br />.016
<br />-.070
<br />.093
<br />1.117
<br />.141
<br />.172
<br />1045.2
<br />:234
<br />,265
<br />',277
<br />290
<br />.315
<br />.341
<br />40
<br />T-,15
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />L.21
<br />1:37
<br />1.52
<br />1.70
<br />1.87
<br />2.04
<br />2.21
<br />_..R
<br />=.U30
<br />'.060
<br />'.093
<br />'.119
<br />.153
<br />:184
<br />.216
<br />.254
<br />.289
<br />.325'
<br />.351
<br />:378
<br />'.411
<br />.445
<br />SOo
<br />T:;,I7 :
<br />--.34
<br />.51
<br />.08
<br />.8$
<br />I.02
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1.91
<br />2.10
<br />2.29
<br />2.48
<br />30
<br />E�.037
<br />.075
<br />.116
<br />".151
<br />.189
<br />.227
<br />'.266
<br />.305
<br />345
<br />.384
<br />.425
<br />.467
<br />.508
<br />.550
<br />55°
<br />T=.10'
<br />,38
<br />.57
<br />7G.95
<br />1095.7
<br />1.14
<br />1.32
<br />1.52
<br />1.72
<br />1.92
<br />2.14
<br />2.35
<br />2.56
<br />2.77
<br />73
<br />-E=,046
<br />.D93
<br />.142
<br />..188
<br />..236
<br />.283
<br />.332
<br />3.81
<br />..420
<br />.479
<br />..530
<br />.582
<br />.641
<br />.700
<br />boo -
<br />T=21
<br />.42
<br />63
<br />84
<br />1.05
<br />1.27
<br />1.49
<br />1.71
<br />1,94
<br />2.17
<br />2.38
<br />2.60.
<br />2.83
<br />.3.47
<br />30,
<br />H-.056
<br />:1122
<br />'.168
<br />.225
<br />'.253
<br />.340
<br />`.398
<br />.457
<br />.516
<br />.575
<br />'.036
<br />' .697
<br />.774
<br />.851
<br />-65°
<br />T=,23
<br />.4eB9
<br />50
<br />.93
<br />1,10
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2_.38
<br />2.83
<br />2.88-
<br />3.13
<br />3.39
<br />Em,087
<br />.135
<br />•.204
<br />.273
<br />.343
<br />'.412
<br />.483 .554
<br />.625
<br />.697
<br />.711
<br />.845
<br />.922 1.01
<br />TABLE 1. = Tangents and Externals to a V. Curve: V•
<br />Chord- 100 it.'
<br />=Angle
<br />Tangent
<br />External
<br />26'
<br />Tangent
<br />External
<br />p ngle
<br />Tangent
<br />External
<br />64°
<br />3380.3
<br />1026.6
<br />71°
<br />4086.9
<br />1308.2
<br />78°
<br />4630.8
<br />'4G53.6
<br />1643.0
<br />10'
<br />L3591.9
<br />1032.8
<br />.10`
<br />4699.5
<br />1313.G
<br />10'
<br />1.49
<br />1651.7
<br />20
<br />3603.5
<br />1039.0
<br />20-
<br />4112.1
<br />1322.9
<br />20
<br />4667.4
<br />1660.5
<br />30
<br />3615.1
<br />1045.2
<br />30.
<br />412458
<br />1330.3
<br />�bO
<br />4631.3
<br />1669.2
<br />40
<br />3826..8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />40
<br />4605.2
<br />1675.1
<br />50
<br />3638.5
<br />1057.7
<br />,50
<br />4150.1
<br />1345.1
<br />50
<br />4709.2
<br />1686,9
<br />65-'
<br />3650.2
<br />1063.9
<br />72.-
<br />4162.8
<br />1352.6-79
<br />-
<br />4723.2
<br />1695.8
<br />10'
<br />'3661.9
<br />1070.2
<br />10
<br />4175;6
<br />1360.1
<br />10
<br />4737.2
<br />1704.7•
<br />20
<br />3673.7
<br />1076.6
<br />20
<br />4188-5
<br />1367.6
<br />20
<br />4751.2
<br />17t3.7
<br />30
<br />3685.4
<br />1082.9
<br />30
<br />4201.2
<br />1375.2
<br />30
<br />4765.3
<br />'1722.7;
<br />40
<br />3697.2
<br />1089.3
<br />-40.
<br />4214.0
<br />.1382.8
<br />40
<br />4779.4
<br />1731.7
<br />50
<br />3709.0
<br />1095.7
<br />50
<br />4226.8
<br />1390.4
<br />50
<br />4793.6
<br />1740.8
<br />66 -'
<br />3720.9
<br />1102.2
<br />73
<br />4239.7
<br />1398.0
<br />80
<br />4807.7
<br />1740:9
<br />.:•10
<br />3732,.7
<br />1108.6
<br />10
<br />4252.6
<br />1405.7
<br />10..4822.0
<br />120
<br />1759.0
<br />20
<br />1115:1-
<br />20
<br />4265.6
<br />1413.5
<br />20
<br />.4336.2-1768.2.
<br />30
<br />.3744.6
<br />3756.5
<br />1121.7
<br />30
<br />4278.5
<br />1421.2
<br />30,
<br />4850:5
<br />1777.4-
<br />40
<br />37GS.5
<br />1128,2
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />4864.8
<br />.1786.7
<br />50
<br />3730.4
<br />1134.8
<br />50
<br />4304.6
<br />1436.8
<br />50
<br />4879.2
<br />1796.0
<br />67 -
<br />3792.4
<br />1141.4
<br />74
<br />4317.6
<br />1444.6
<br />81
<br />4893.6
<br />1805.3
<br />380414
<br />11.48.0
<br />10
<br />4330.7
<br />1452.5
<br />10
<br />4908.0
<br />1814.7
<br />.10
<br />:•20
<br />3916.4
<br />1154.7
<br />20
<br />4343.8
<br />1450.4
<br />20 _
<br />4922.5
<br />1824,1
<br />30
<br />3828.4
<br />1161.3
<br />30
<br />4350.9
<br />1463.4.
<br />30
<br />4937.0
<br />1833.0
<br />40
<br />3840.5
<br />1168.1
<br />40
<br />4370.1
<br />1476.4
<br />40
<br />4951.5
<br />1843.1
<br />30
<br />3852.6
<br />1174.8
<br />50
<br />43S3.3
<br />1484.4
<br />50
<br />4966.1
<br />1852:6
<br />88.
<br />3864:7
<br />1181.6'
<br />75 -
<br />4396.5
<br />1492.4
<br />82 •
<br />4980.7
<br />1862:2
<br />10
<br />3576.6
<br />1188,4
<br />10
<br />4409.8
<br />1500.5
<br />10
<br />-4995.4
<br />1871:8
<br />20
<br />3889.0
<br />1195.2
<br />20
<br />4.123.1
<br />1508,6
<br />20
<br />5010.01
<br />13S1.5 -
<br />30
<br />3901:2
<br />'1202.0
<br />30 '
<br />4436:4
<br />1516.7
<br />30
<br />5024.8
<br />1891,2
<br />40
<br />3913.4
<br />1208.9'
<br />40
<br />4449.7
<br />1524.9
<br />.40
<br />5039.5
<br />1900.0
<br />50
<br />3925.6
<br />1215.8
<br />50
<br />4403.1
<br />1533.1
<br />50
<br />-5054,3
<br />1910.7
<br />' '69;
<br />3937.0
<br />1222.7
<br />'76 -
<br />4476.5
<br />1541.4
<br />83•-
<br />-5069.2
<br />1920..5:
<br />10
<br />3950.2'
<br />1229:7'
<br />10
<br />4489.9
<br />1549.7 ,
<br />- 10
<br />-5084.0
<br />1030.4
<br />'20
<br />3962.5
<br />1236.7
<br />20
<br />.4503.4
<br />1558,0
<br />.20
<br />•5099.0
<br />1940.3
<br />30
<br />3974.8-
<br />1243.7
<br />30
<br />4516.9
<br />-1560-3 .
<br />_ 30
<br />5113.9
<br />-1950.3.
<br />40
<br />3987.2
<br />1250.8.
<br />40
<br />4530.4
<br />1574.7
<br />40
<br />5128.9
<br />1960.2
<br />50
<br />'3999.5.
<br />1257.9
<br />50
<br />4514.0'
<br />1583.1
<br />50
<br />5143.9
<br />1970.3
<br />70
<br />4011.9
<br />1265.0
<br />M.
<br />4557.6
<br />1591.6
<br />84
<br />.5159.0
<br />1980.4
<br />10
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />1600:1
<br />10
<br />5174.1
<br />.1990.5
<br />20
<br />4036.8
<br />1279.3
<br />20,'-
<br />4584.8
<br />1608.6`
<br />`.20
<br />5189,3
<br />2000.6
<br />30
<br />4049_.3
<br />1286.5
<br />30
<br />4598.5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />4061.8
<br />1293.6
<br />*-'404612.2
<br />1625.7,-
<br />40 .
<br />5219,7
<br />2021,1
<br />.
<br />50
<br />4074.4
<br />1300.9
<br />50
<br />46 26.0
<br />.14.4
<br />63
<br />50
<br />5234'.9
<br />2031.4
<br />Corrections to be Added (T=Tangent. E =External.)
<br />Int,
<br />Gwrne 5°
<br />10° 15°
<br />26'
<br />25° 30°
<br />35°
<br />40°
<br />SO°
<br />55°[2.8U8
<br />l,�,
<br />T=.21
<br />.42 .63
<br />.84-
<br />1.05 1.27
<br />1.49
<br />1.71
<br />2.17
<br />2.38 2.93 3.07
<br />E=.058
<br />.112 .168
<br />.225
<br />.283 .3-10
<br />.398
<br />.4578
<br />.575
<br />.638 .774 .851
<br />T=.23
<br />46 .69
<br />.93
<br />1.16- 1-40
<br />1.64
<br />1.88
<br />3
<br />[2,33
<br />2.38.
<br />2.63 3.18 3.89
<br />E=.067
<br />.135 .204
<br />.273
<br />.343 .412
<br />.483
<br />.55425
<br />.697
<br />.711' .922 1.01
<br />T=.25
<br />.76
<br />1.02"
<br />1.28 1.54
<br />1.80'
<br />2.06
<br />2.60
<br />2.88 3.44 3.72
<br />70°
<br />E =.080
<br />.51
<br />.159 .240
<br />.321
<br />.403 .485
<br />.568
<br />.65235
<br />.819
<br />..908 1.08 1.17
<br />T=.27
<br />.56 .83
<br />1.12
<br />1,40 1.69
<br />11,98
<br />2-27
<br />.7
<br />2.87
<br />3.10 3.47 3.78 4.09
<br />75°
<br />E-:
<br />.182 .286
<br />.383
<br />.480 ,578
<br />.678
<br />.777
<br />.877
<br />.977
<br />1,07 1.18 1.29 1.39
<br />=•30
<br />.91
<br />1.22
<br />1.53 1,84
<br />2.15
<br />2.48
<br />2.78
<br />3.10
<br />3.44 3.78 4.12 4.46
<br />80°
<br />L=.110
<br />.61
<br />.220 .332
<br />.445
<br />.558 .671
<br />.787
<br />.lM
<br />1.02.
<br />3.05
<br />1.13
<br />3,40
<br />1-25 1.38 1.50 1.62
<br />3.77 4.144.55 4.89
<br />85a T=.33
<br />66 1.00-
<br />1.33
<br />1.68 2.02
<br />12.35 "2.70
<br />E=-128
<br />.259 .391
<br />.524
<br />.657 .7901
<br />926
<br />1.08
<br />120
<br />1.1
<br />147 1.62 11.76 11.91
<br />
|