|
TAHLE T. -7 Tangents and Externals to a 1° -Curve.
<br />Chord =,100 ft.
<br />Angle
<br />Tauge_4
<br />External
<br />Angle
<br />Tangent External
<br />•Ang ei
<br />Tangent
<br />External
<br />:lk3°
<br />2237.0
<br />428.5
<br />501--
<br />'.10'
<br />2671,8
<br />592.3
<br />:Sr
<br />'"10'-
<br />3110.9'
<br />790.1
<br />10'
<br />i�`•`i 20
<br />;2206:0.
<br />2276.2
<br />432.0
<br />;435.6-
<br />' �`-20
<br />2681-9
<br />2692.1
<br />•-596.6
<br />;600.9'`'20
<br />;
<br />3121;7
<br />'3132.6
<br />• 795.2
<br />800.4
<br />30
<br />'228,5.9'
<br />; 439.2
<br />301
<br />2702.3
<br />505.3
<br />: 30 =
<br />:3143:4
<br />805.6
<br />r.. '40
<br />'2295,6'
<br />,442:8'
<br />+
<br />40:'
<br />2712.5
<br />"609.6
<br />.:'%40
<br />3154';2
<br />. 810.9
<br />50.'2305,2:
<br />40',
<br />,:446.4`
<br />`,.'50
<br />2722,7
<br />'814.0
<br />"'`50
<br />3165,1
<br />,816.1
<br />.44--
<br />:2314.9
<br />450.0
<br />.51.•
<br />2732.9
<br />018.4.
<br />-b8;•,
<br />3176;0
<br />821.4
<br />"-7-'10
<br />'2324.6
<br />.453.6:
<br />-`,10
<br />•2743.1'
<br />;023.8.
<br />10
<br />3186.9
<br />: 826.7
<br />'i. 20
<br />•.2334A
<br />457.3
<br />�•`20
<br />2753.4
<br />.027.2'
<br />--' 20
<br />3197.8,
<br />832.0
<br />r: 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 ,
<br />:2353:8-
<br />464.8•
<br />'-'46
<br />2773.0
<br />636.2
<br />-,"•40
<br />3219.7
<br />842.7
<br />50.
<br />2363.5,
<br />468.4'
<br />,?Oc
<br />2784.2
<br />;640.7
<br />50 .:.3230;7,
<br />X40.
<br />848.1
<br />46 r
<br />2373.3
<br />472.1-
<br />52-
<br />12794:8'
<br />045.2,
<br />59
<br />3241.7
<br />853.5
<br />10'
<br />2383.1
<br />.475.8.
<br />'02804.9
<br />,73
<br />,649.7.
<br />;10 -
<br />3252:7:
<br />858.9
<br />_ 20
<br />'
<br />+2392:8
<br />479.6
<br />20
<br />'2815.2'
<br />054.3'
<br />',20 '
<br />3263,7
<br />864.3
<br />30
<br />'2402:0
<br />483:4,
<br />' 30
<br />2825.6.
<br />.058.8
<br />-30
<br />3274:8.
<br />;869.8
<br />40.:2412.4
<br />30
<br />487.2
<br />;' 40
<br />2835.9
<br />'663.4
<br />-40
<br />3285:8,
<br />,875.3
<br />ir:," 50
<br />-2422.3
<br />'491.01
<br />50
<br />2846 3"
<br />'665,0
<br />50
<br />3296:9
<br />.880.5
<br />1786.7
<br />50
<br />'3760.4
<br />1134:8
<br />50
<br />4804.6
<br />1436.5
<br />",50'
<br />4879:2
<br />46 _ '
<br />2432 L,
<br />494.8
<br />-53 /•
<br />2856:7
<br />672:7'
<br />60-
<br />3308:01
<br />886.4
<br />10
<br />2441.9:
<br />498.7,
<br />10
<br />2867 (1677:3'4
<br />4330.7
<br />' - 10
<br />33197.1
<br />892.0
<br />=.20
<br />2451.8'
<br />'502.5'
<br />'20
<br />2877.5
<br />682.0'
<br />':20
<br />3330.3'
<br />897.5
<br />30
<br />2461.7
<br />'2471.5
<br />'506.4
<br />30
<br />2888.0
<br />'686,7,
<br />30
<br />3341:4'
<br />903,2
<br />40
<br />40
<br />510.3
<br />40
<br />2898:4
<br />691.4
<br />40'.
<br />3352:6
<br />903.8
<br />50
<br />2481:4
<br />514.3
<br />.50
<br />2908.9
<br />696.1:
<br />- 50;
<br />3363,8
<br />91415
<br />47
<br />2491.3
<br />518. 2,
<br />64-2919.4
<br />15 -
<br />700.9'
<br />61 s'
<br />.3375.0'
<br />920-2
<br />10
<br />2301.2
<br />522.2
<br />`10
<br />705.7,
<br />2929.9
<br />-4409.8
<br />,•ALO
<br />;3386.3
<br />92 5.9
<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 />:2531,1
<br />534.2,
<br />40
<br />2961.5.
<br />720.1
<br />40•:
<br />3420.1
<br />'9-13.-1
<br />-50 .
<br />2541.0
<br />538:2
<br />'• `50
<br />2972.1
<br />725.0
<br />;;'S0
<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 />X10'
<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 />;2581.0
<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 />754.6
<br />50•'
<br />3499.7,
<br />:984,3
<br />40
<br />2611.2
<br />500,9
<br />66
<br />3046.5
<br />759.6'
<br />03 4
<br />'3511.1
<br />990.2
<br />-'10
<br />2621.2'
<br />,571.1
<br />10
<br />3057.2
<br />764.6•
<br />40
<br />3522,6
<br />-990.2
<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 />.30
<br />40
<br />2641:4579.5'
<br />2651
<br />'9011:3,
<br />30
<br />3078.7
<br />774.7
<br />30
<br />3545.1
<br />1008.3
<br />50
<br />5`
<br />2661,6
<br />583.8
<br />688.0
<br />46
<br />50
<br />3089.4
<br />3100.2,
<br />779.8:
<br />784.9
<br />40
<br />50
<br />3557.2
<br />13568.7
<br />1014.4
<br />1020.5
<br />Cortectioasto,be,Added;(T=Tangent., E=External.)
<br />Jet,'Curve
<br />Angle-
<br />S° -10°
<br />-
<br />'15° 200
<br />25°
<br />30° -35° 40° 45° 506. :55° 60° 65° 70°
<br />40°..
<br />' T=.13 .20
<br />.40 .53
<br />.87
<br />80 .93 .106 1,20 1.34 1.49' 1.64. 1.79 1.94
<br />3580.3
<br />E =.023 '.040
<br />.070 :093
<br />.117
<br />.141 .172 1203 .234 .265 .277 290 .315 .3.11
<br />,45°
<br />-T=:13. .30
<br />.44 .60
<br />.76'
<br />.91 1.06 121 1.37 1.52 1.70 1.87 2.04 2.21
<br />1032.8
<br />E =.030 --.060
<br />'.093 ':119
<br />.153
<br />.184 .216 .254 .289 .325 .351 .378 .411 .445
<br />rs0°
<br />T=.17 .34
<br />.51 .68
<br />.85
<br />1.02 1.19 1.36 1.54 1.72 1.91 2.10' 2.29 2.48
<br />C 20.
<br />E=.037 r .075
<br />.116 .151
<br />-.189
<br />.227 .266 .305 .345 .384 .425 .407:.508 .550
<br />550
<br />T=.19 .3$
<br />.57 .76
<br />95
<br />1.14 1.32 1.52 1.12 1-42 2.14' 2.35 2.50 2.7"r
<br />4124.8
<br />E=.046 .093
<br />•.142 .188
<br />.230
<br />.283 ,332 3.81 .420.479 .530 .582 .641 .700
<br />40',
<br />.42
<br />.63 84
<br />1.05
<br />1.27 1.49 171 1'.04 2_:17 2.38 2.60 2.83 3.07
<br />1337.7
<br />E=.050. .112
<br />.168 .223
<br />.283
<br />:398 t457 .518 .575 .636 .6417 .774 '.851
<br />moo.
<br />_T .44
<br />.49 93
<br />1.16
<br />..340
<br />1.40 104 1.88 2:13 2.38 2.63 2.88 ` 3.13 8.99
<br />50,
<br />Ee,067 ' .135
<br />.204 .273
<br />.343
<br />.412 .483 ,554 .425 .497 .7I] .845 '.922 1.01
<br />-
<br />TAiim f _- Tangents -and Externals .to a V- Curve. V
<br />Chord' 100 -ft.:
<br />In
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />�Eacternal
<br />.-An&
<br />Tangent
<br />External
<br />64
<br />3580.3
<br />102fi.6
<br />71°
<br />49S6.9
<br />1308:2
<br />78°
<br />4639.8
<br />1643.0 '
<br />" 10
<br />3591.9
<br />1032.8
<br />..'10'
<br />4099rb
<br />1315.6
<br />•`10'
<br />4653.0
<br />1651.7
<br />20
<br />.3603.5
<br />1039.0
<br />C 20.
<br />4112:1
<br />1322-C
<br />20
<br />4667,4
<br />: 1660.5
<br />30 1
<br />3615.1
<br />1045.2
<br />30'
<br />4124.8
<br />1330.3
<br />30
<br />4681.3
<br />1669.2
<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 />80•'
<br />3638.5
<br />1057:7
<br />50
<br />•4150:1
<br />1345.1.
<br />50,
<br />4709.2
<br />1686.9
<br />2,98
<br />3650.2
<br />1063:9.
<br />.72
<br />4162.S
<br />, 1352:6
<br />70':
<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 />.4158.5
<br />; 1367.6
<br />;20
<br />4751.2
<br />1713.7•
<br />30
<br />3685.4
<br />1082.9
<br />-30
<br />4201.2
<br />1375.2
<br />x °30
<br />4765.3
<br />1722.7
<br />40.
<br />3697.2
<br />1089.3
<br />'40
<br />4214.0
<br />1382,8
<br />X40.
<br />4779.4
<br />f 1731-7
<br />50
<br />3709.0
<br />1095.7
<br />50.
<br />4225.8
<br />1390,4
<br />50
<br />4793.6
<br />{ 1740,8
<br />Og
<br />3729.9
<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 />10
<br />4252.6
<br />1405.7'
<br />.. .10';
<br />4822.0
<br />1759.0
<br />x'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 />3708.5
<br />1128.2
<br />40
<br />4291.5
<br />1429.0
<br />.40.
<br />4864.8
<br />1786.7
<br />50
<br />'3760.4
<br />1134:8
<br />50
<br />4804.6
<br />1436.5
<br />",50'
<br />4879:2
<br />1790.0
<br />•57
<br />3792.4
<br />1141.-4'
<br />74 .
<br />4317.6
<br />1444.6
<br />81
<br />4893.6
<br />1805.3
<br />-10,3804.4
<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 />4343.8
<br />1460.4
<br />20
<br />4922.5
<br />1824.1
<br />30 '
<br />3828.4
<br />1161.3
<br />.30
<br />'4356:9
<br />1468.4
<br />; 30
<br />4937.0
<br />1833.0
<br />40
<br />3840.b
<br />1168.1
<br />40
<br />4370:1
<br />1476.4
<br />i,t,40
<br />4951.5
<br />1843.1
<br />50
<br />3852.6
<br />1174.8
<br />-50
<br />4363.3.
<br />1484.4
<br />;50
<br />4966.1
<br />1852.0
<br />68
<br />:3864.7
<br />USIA
<br />15 -
<br />4306.5
<br />1492:4
<br />,82.
<br />4980.7
<br />1862.2
<br />10 '
<br />•3876.8,
<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 />r20.,
<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 1.5039.5
<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 />68'
<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 />1229.71
<br />10'
<br />4489:9
<br />1549.7
<br />- 10
<br />50S4.0
<br />1930.4
<br />20
<br />" 3962:.51236.71
<br />20
<br />4503.4
<br />1558.0
<br />-.•20
<br />5099:0
<br />1940.3
<br />-30
<br />3974.8
<br />1243.71
<br />30
<br />4516.9
<br />1566.3
<br />` 30
<br />5113:9
<br />1950.3
<br />`40 ''
<br />'3987.2
<br />1250.8'
<br />40
<br />4530.4
<br />1674.7
<br />x 40
<br />5128.9
<br />1960.2
<br />50 ;
<br />,
<br />3999.5
<br />1257.91
<br />_ .50
<br />4544.0
<br />1583.1
<br />50
<br />5143.9
<br />1970.3
<br />•-70 !
<br />'4011,9-
<br />i
<br />1265:0
<br />.77 -
<br />4557.6
<br />1591.6'
<br />84.
<br />5159.0
<br />1980.4
<br />10 '
<br />14024.4"
<br />•1272.11
<br />'- 10
<br />4571.2
<br />1600.1
<br />-10
<br />5174.1
<br />1990.5
<br />'20
<br />,4036. 82
<br />4279.31'
<br />20,
<br />4584.8
<br />1608.6.
<br />,.• 20
<br />5189.3
<br />2000.6
<br />30 '
<br />'9011:3,
<br />1286.5
<br />30 1
<br />4598-5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />400I;81293.5
<br />40 1
<br />4612,2
<br />1625.7
<br />40
<br />5219.7
<br />2021.1
<br />-50 '
<br />4074:4
<br />1300.91
<br />'-' 50 1
<br />4626:0
<br />1634,4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T = Tangent: E =External.)
<br />Int.
<br />Curse 56
<br />10° 15° 2D° 25° 311° 35,
<br />40°
<br />45° 50°
<br />55° 60° 65° TO°
<br />_Angle
<br />'-
<br />21
<br />.05 L27 1.398
<br />42 63 225 1.283
<br />71
<br />1
<br />1.516
<br />29
<br />2.030 x.774 8,851
<br />�°
<br />E=.058
<br />112 '.168 . 340
<br />457
<br />.575
<br />697
<br />•T =.23
<br />.69 1.16 1.40 1.64
<br />1.88
<br />2.13 2.38
<br />2.63 2.88 8.13 3.39
<br />65° -
<br />E=.067
<br />.46 .93
<br />:135 '.204 .273 .343 ..412 .483
<br />.554
<br />•.625 •697
<br />.711 .845 .922 1.01
<br />70,
<br />T=.25
<br />.51 ' 76. 1.02 1.28 1.54 1.80
<br />2.08
<br />2.33. 2.60
<br />2.88 3.16 3.44 3.72-
<br />.72'E=.080
<br />E =7.080
<br />.159 .240 '.321 403 .485 .568
<br />.652
<br />.735 .8I9
<br />.906, .994 1.08 1.17
<br />75q
<br />• T=.27
<br />.56 .83 1.12 140 1.69 LOS
<br />2.27
<br />2.57 2.87
<br />3.18 3.47 3.78 449
<br />.
<br />E=,095
<br />.182 .284 .383 -.480 :578 :678
<br />..777
<br />.871 .977
<br />1,07 1,18 1.29 1.39
<br />1p =.30
<br />1 1-22 1.84 2.15
<br />2,98
<br />2.78 3.10
<br />3.44 3.78 4.12 .4.46
<br />80°
<br />E =.110
<br />.61 .91 .1.53
<br />.220 .332 .445 558 :671.:787
<br />.903
<br />1.02 1.13
<br />1.25 L38 1.50 1.02
<br />85°
<br />T-.33
<br />66 1 1.00 1.33 1.68 12.02 12.36
<br />2,70
<br />3.05 3.40
<br />3.77 TV 4.56 4. go-
<br />JJUj 926
<br />1,00
<br />1.20 1.34
<br />1.47 1,62 1.76 1.91
<br />
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