|
m
<br />IV• TABLE I: - Tangents and Externals toa 1° Curve.
<br />Chord = 700.ft_
<br />Int.
<br />Angle
<br />Tangent
<br />External,
<br />In
<br />. �gje -
<br />Tangent External
<br />Iat
<br />-Int- .
<br />Tangent
<br />External
<br />'43°
<br />2257,0
<br />428.5
<br />50P"^
<br />2671,8,
<br />592.3
<br />57°
<br />3110.9
<br />790.1
<br />10'
<br />2263:6
<br />',432.0;
<br />10!
<br />2681.9
<br />;596.610'.3121.7
<br />.106.20
<br />1,234
<br />•795.2
<br />20
<br />2276,2
<br />435.6,
<br />20'
<br />2692,1
<br />' 600.9
<br />20
<br />3132.6
<br />.800.4
<br />t 30
<br />2285:9
<br />439.2"
<br />.307.
<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 />X50
<br />3165.1
<br />816.1
<br />44,
<br />2314.9
<br />450.0
<br />_51.: -
<br />2732..9
<br />618.4
<br />58
<br />'3176.0
<br />821.4
<br />110
<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 />3197.8
<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 />5"40
<br />2353.8
<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 />640.7.
<br />.:50
<br />.:3230.7
<br />•848.1
<br />'45 -
<br />2373.3
<br />472.1
<br />52.
<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 />649.7
<br />.•10
<br />3252.7
<br />858.9
<br />E'20
<br />2392,8
<br />479.6'
<br />'20
<br />2815,2
<br />654.3,
<br />20'
<br />3263.7
<br />804.3
<br />30
<br />2402.6
<br />483.4
<br />30
<br />2325,6
<br />658.8
<br />30'
<br />3274.8'
<br />869.8
<br />.'40
<br />2412.4
<br />487.2
<br />40
<br />2835,9
<br />663.4
<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 />494.8
<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 />.8310.1
<br />892.0
<br />20
<br />2451.8
<br />502.5
<br />20
<br />2S77.5
<br />682.0.
<br />20:
<br />'3330.3
<br />897.5
<br />�. 30
<br />2461;7
<br />506.4 .
<br />30
<br />2838.0,
<br />686.7
<br />30
<br />3341.4
<br />--903.2
<br />402471.5
<br />30
<br />510.3
<br />40
<br />2898,4
<br />691.4
<br />40
<br />3352.6
<br />908.8
<br />50
<br />2481;4
<br />514.3'1'-."50
<br />1168,1 :
<br />2908,9
<br />696.1
<br />50';
<br />3363.8"
<br />,914.5
<br />'47'
<br />2491.3
<br />518.2 ,
<br />54
<br />2919.4
<br />700.9
<br />61
<br />3375.0,
<br />920:2
<br />'10
<br />2501.2
<br />522,2 ;
<br />10
<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.
<br />3397.5
<br />.931.6
<br />30
<br />2521;1
<br />530.1 '
<br />30
<br />2951,0
<br />715.3
<br />30
<br />3408.8
<br />937.3
<br />40
<br />25311
<br />534.2
<br />40
<br />2961.5
<br />720.1
<br />140
<br />3420.1
<br />•943.1
<br />50
<br />2541.0
<br />538.2
<br />50
<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 />954.8
<br />10
<br />2561.0
<br />546.3 '
<br />",. 10
<br />2993,3
<br />734.8
<br />1.10
<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 />9G6.5
<br />30
<br />2581;0
<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;1
<br />562.8 ,
<br />50
<br />3035,8
<br />254.6 F
<br />:.:.50_
<br />3499.7.
<br />984.3
<br />49.
<br />2611,2
<br />566.9.
<br />bG
<br />3046.5
<br />759:6
<br />63.'
<br />3511.1
<br />990.2
<br />30
<br />2621,2
<br />571 .1,
<br />10
<br />3057.2
<br />764.6.
<br />10
<br />3522.6
<br />1996.2
<br />!., 20
<br />2631,3
<br />575.3
<br />20
<br />3067.9
<br />769.7"
<br />20.
<br />3534.1
<br />1002.3
<br />c. 30
<br />2641;4
<br />579.5 .
<br />30
<br />3078.7
<br />774.7 1.
<br />- 30
<br />3545.6
<br />1008.3
<br />--to
<br />2651,5
<br />553.8 1
<br />40
<br />3089.4
<br />779.8
<br />.40
<br />3557.2
<br />1014.4
<br />,.' 50
<br />2661,6
<br />588.0
<br />..50
<br />3100.2
<br />7S4.0
<br />.50,
<br />3568.7
<br />1020.5
<br />Corrections'to be Added (T = Tangent.' E --External:)';
<br />Angle
<br />Curve.5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />38°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />.70°
<br />40°
<br />T-.13
<br />1643.0
<br />10'
<br />53
<br />1032.8
<br />0
<br />4099.5
<br />.106.20
<br />1,234
<br />1265
<br />127.64
<br />1
<br />1.315
<br />1.311
<br />20
<br />=,023 '
<br />.018
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />30
<br />4124.8
<br />7
<br />290
<br />4681,3
<br />1060.2
<br />45°
<br />,E-•030
<br />1051.4
<br />_40
<br />4137.4
<br />1337,7
<br />40
<br />11.0
<br />1.254 .21
<br />1.289 .37
<br />1.325 .52
<br />1.35.87
<br />1
<br />2.04
<br />2 .21
<br />5Q
<br />-47092
<br />:060
<br />.093
<br />.1109
<br />.163
<br />.184
<br />.216
<br />.135
<br />.204".273
<br />1.02
<br />1
<br />378
<br />.411
<br />445
<br />50°
<br />4162.8
<br />1352.6
<br />79
<br />4723.2
<br />1695.8
<br />1.227 02
<br />1.266 .19
<br />1.305
<br />.541.345
<br />1.384 .72
<br />1
<br />2.437
<br />2 ?08
<br />2.580
<br />'
<br />E=.037
<br />'.075
<br />.116
<br />.151
<br />.189
<br />X20
<br />4751.2
<br />1713.7
<br />30
<br />3685.4
<br />425
<br />30
<br />4201.2
<br />1375.2
<br />55°
<br />iT=,19
<br />A&
<br />.57
<br />.76
<br />..95
<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 />50 .
<br />1E=:043
<br />.093
<br />.142
<br />.188
<br />.236
<br />.233
<br />332
<br />3.81
<br />.420
<br />.479
<br />.530'
<br />.532
<br />,641
<br />.700
<br />60°
<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 />:4265.6
<br />3.07
<br />- 20
<br />E =.056
<br />.112
<br />.168
<br />:8225'11:02583
<br />.225
<br />.283
<br />•:340
<br />,398
<br />.457
<br />.516
<br />-.575
<br />.336
<br />12.83
<br />.697
<br />.774
<br />.851
<br />65°
<br />T=:23
<br />.46,
<br />.69
<br />-.9-311-.-16,
<br />1786.7
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63
<br />2.88
<br />3,13
<br />3,39
<br />6T:
<br />E=,067
<br />.135
<br />.204
<br />.273
<br />,343
<br />1.412
<br />.483
<br />:554
<br />.625
<br />-.697
<br />.7111-.845
<br />10
<br />.922
<br />1.01
<br />a
<br />TABLE, I. - Tangents and Externals to a .V Curve. V
<br />Chord= 100 ft::
<br />Angle- .
<br />Tangent
<br />External
<br />Angle .
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />64°
<br />3550.3
<br />1026.6
<br />711•
<br />4080.9-
<br />1308.2
<br />78°
<br />.4639,8
<br />1643.0
<br />10'
<br />"3591•.9
<br />1032.8
<br />10'
<br />4099.5
<br />1315.G
<br />10'
<br />4353.6
<br />1651.7 .
<br />20
<br />3603.5
<br />1039:0
<br />20
<br />4112.1
<br />1322.9
<br />20
<br />4GG7.4
<br />1660.5
<br />30
<br />3315,1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />t 30
<br />4681,3
<br />1060.2
<br />40
<br />3626.8
<br />1051.4
<br />_40
<br />4137.4
<br />1337,7
<br />40
<br />4695.2
<br />..1678.1
<br />50
<br />3638.5
<br />1057.7
<br />50•
<br />4150.1
<br />1345.1
<br />5Q
<br />-47092
<br />1686.9
<br />2.38
<br />2.63 2.88 3.13
<br />3.39
<br />65°
<br />'P=.067
<br />.135
<br />.204".273
<br />1.02
<br />.343
<br />65
<br />3650.2
<br />1063.0
<br />72
<br />4162.8
<br />1352.6
<br />79
<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 />.4183.5
<br />1367.6
<br />X20
<br />4751.2
<br />1713.7
<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 />4211.0
<br />1382.8
<br />40
<br />4779.4
<br />1731.7
<br />50
<br />3709.0
<br />1095.7
<br />50 .
<br />422G.8
<br />1390.4
<br />50
<br />4793.6
<br />1740.8
<br />gg,
<br />3720.9
<br />1102.2:
<br />73
<br />•4239.7
<br />1398.0
<br />80- -
<br />4807.7
<br />1749.9
<br />-10
<br />3732.7
<br />1108.6
<br />,
<br />10
<br />4252.6
<br />1405.7 ",
<br />10
<br />4322.0
<br />1759:0
<br />20
<br />3744.6
<br />1115.1
<br />20
<br />:4265.6
<br />1413.5
<br />- 20
<br />4836.2
<br />1768.2
<br />30
<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 />3768:5
<br />1128.2
<br />40
<br />4291.5
<br />1429,0'40
<br />2.02
<br />4364.8
<br />1786.7
<br />50
<br />3780,4
<br />1134.8 ,
<br />50.
<br />4304:6
<br />• 1436.8 ;
<br />f '50
<br />4879.2
<br />1798.0
<br />6T:
<br />3792.4
<br />1141.4
<br />74
<br />4317.6
<br />1444.6
<br />81
<br />4893.6
<br />1805.3
<br />10
<br />3804:4
<br />1148.0
<br />10
<br />4330.7
<br />1452.5
<br />10 ..
<br />4908.0:
<br />1814.7
<br />20
<br />3316.4
<br />1154,7
<br />20
<br />4313_8
<br />1460.4
<br />20
<br />4922:5
<br />1824.1
<br />30
<br />3323.4
<br />1101,3 ;
<br />30
<br />435619
<br />1468.4
<br />30
<br />4937.0.
<br />1833.6
<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 />-50
<br />3852.6
<br />1174,8
<br />50:
<br />4383.3
<br />1484.4 '
<br />50
<br />4966.1.
<br />1852.6
<br />68
<br />3864.7
<br />1181.6
<br />78
<br />4396:5
<br />1492:4
<br />-82"-•
<br />4980.7
<br />1862.2
<br />10
<br />387G.8
<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 />4423.1
<br />1508.6
<br />20
<br />5010.0
<br />1881.5
<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 />1900.9
<br />"50
<br />3925.6
<br />1215.8"
<br />50
<br />4463,1
<br />1533.1
<br />50
<br />.5054;3
<br />1910.7
<br />69
<br />3937.9
<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 />1930.4
<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 />3974.81
<br />1243.7
<br />30
<br />14516.9
<br />1566.3
<br />•. 30
<br />-5113.9
<br />11950.3
<br />40
<br />•3957.2
<br />1250.8
<br />40
<br />4530.4
<br />1574.7
<br />40
<br />5128.9
<br />1960.2
<br />50 '
<br />j
<br />3999.5;
<br />1257.91
<br />,• 50 1
<br />4544.0
<br />1583.1
<br />-50
<br />5143.9"
<br />1970.3
<br />'70
<br />4011.9
<br />1265.0
<br />77
<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 />3279.3'
<br />�20
<br />•4584.8
<br />1608.6,
<br />20
<br />5189.3
<br />2000.6
<br />30
<br />4049.3
<br />1280.5
<br />30
<br />4598.5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />4051.8
<br />1293.6•
<br />40
<br />46612.2
<br />1625.7
<br />40
<br />5219.7
<br />-2021.1
<br />504074;4
<br />1300,9
<br />50
<br />4626.0
<br />1634.4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T =Tangent. E =External.)
<br />Curve 5°
<br />10°
<br />15°
<br />20°
<br />25° 1
<br />30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70 °
<br />Angle-
<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 />307
<br />60°
<br />E=.056
<br />.112
<br />.168
<br />.225
<br />.93
<br />'.283
<br />.340
<br />`.398
<br />.457
<br />.516
<br />.575
<br />.636
<br />'.697
<br />.774
<br />:851
<br />T=.23 .46 .69
<br />T=.23
<br />1.16 1.40 1.64
<br />1.88 2.13
<br />2.38
<br />2.63 2.88 3.13
<br />3.39
<br />65°
<br />'P=.067
<br />.135
<br />.204".273
<br />1.02
<br />.343
<br />.412
<br />,483
<br />.554
<br />.625
<br />.697
<br />.711
<br />-.845
<br />.922
<br />1,01
<br />T=.25. .76
<br />1.28 1.54 1,80
<br />2.06 2.33
<br />2.60
<br />2.88 3.16 3.44
<br />3.72
<br />70°
<br />P ^•080
<br />.51
<br />.159
<br />.240
<br />.321
<br />.403
<br />.485
<br />,568
<br />.652
<br />.735
<br />..819
<br />.906
<br />..994
<br />1.08
<br />11.17
<br />T=.27
<br />.56,
<br />'.83
<br />1.12
<br />1.40
<br />1.691,98
<br />2.27
<br />2.57
<br />2.87
<br />3.16
<br />3:47
<br />3.78
<br />4.09
<br />75°
<br />E=.095
<br />.182
<br />:286
<br />.383
<br />.480
<br />.578
<br />.678
<br />.777
<br />.877
<br />.977
<br />1.07
<br />1.18
<br />1.29
<br />1.39
<br />.
<br />T=:30
<br />.61
<br />1.22
<br />1.53
<br />1.84
<br />2,15
<br />2.46
<br />2.78
<br />3.10
<br />3.44
<br />3.78
<br />4.12
<br />4.46
<br />B0'
<br />E=.110
<br />.220
<br />.91
<br />.332
<br />.445
<br />.558
<br />.671
<br />..787
<br />.903
<br />1,02
<br />1.13
<br />1.25
<br />1.38
<br />1.50
<br />1.62
<br />gro
<br />T=,33
<br />.66
<br />1.00
<br />1.33
<br />1.68
<br />2.02
<br />12.36
<br />2.70
<br />13,05
<br />3.40
<br />3.77
<br />4.14
<br />4.55
<br />4.89
<br />E=.128
<br />.259.
<br />1.391
<br />.524
<br />.657
<br />.790
<br />-.920
<br />1.06
<br />11.20
<br />1.34
<br />1.47
<br />1.62
<br />1.78
<br />1.91
<br />
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