|
IV TABLE I. _ Tangents and. Externals to -a:1° Curve.
<br />Chord -=100. ft.
<br />Int.-
<br />Ankle.
<br />Tangent
<br />External
<br />Int.
<br />' Angle
<br />Tangent, External:
<br />Int.
<br />Angle •
<br />Tangent
<br />External
<br />(43° ;
<br />2257.0
<br />L 428:5:
<br />SO°, a
<br />42671.8
<br />592.3
<br />V67°
<br />8110.9
<br />790.1
<br />„10'
<br />2266.6
<br />432.0
<br />{,,10!
<br />2681.9
<br />596.6 '
<br />1(Y
<br />.3121.7
<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 />30
<br />2285.9
<br />439.2 ;
<br />':30
<br />2702:3
<br />605,3 :
<br />''30
<br />8143.4
<br />805.6
<br />,40
<br />2295.6
<br />442.8 '
<br />40
<br />2712.5
<br />609.6x1',40
<br />1337.7
<br />3154.2
<br />810.9
<br />1' _40
<br />2305.2
<br />446.4 '
<br />,l 50
<br />2722,7
<br />614.0.
<br />i -.} 50
<br />:3165.1
<br />.816.1
<br />1686.9
<br />2314.9
<br />450:0 ;
<br />51," ,
<br />2732.9
<br />618.4 ';
<br />58-
<br />3176.0
<br />821.4
<br />x,10
<br />2324.6
<br />453:6
<br />10
<br />2743.1
<br />622.8
<br />40
<br />3186.9
<br />826.7
<br />t 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 />461.030
<br />1082.9
<br />2763:7
<br />631.7 ;
<br />-
<br />3208.8
<br />837.3
<br />r40
<br />2353.8
<br />464.6
<br />40
<br />2773.9
<br />636.2
<br />'30
<br />:.40
<br />3219.7
<br />842.7
<br />c.,,50
<br />23,63.5
<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 />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 />649.7
<br />• 10
<br />3252.7
<br />858.9
<br />> 20
<br />2392.8
<br />479.6
<br />120
<br />2815.2
<br />654.3
<br />,--'20
<br />3263.7
<br />864.3
<br />30
<br />2402.6
<br />483.4
<br />r30
<br />2825.6
<br />658.8
<br />30
<br />3274.8
<br />869.8
<br />40
<br />2412.4
<br />487.2
<br />x;,_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 4
<br />53;
<br />2856.7
<br />- 672.7:
<br />60 -3308.0
<br />81.' r-'
<br />886.4
<br />r, 4-10
<br />2441.9
<br />498.7'
<br />,. LO
<br />' 2867.1
<br />677.3 '
<br />10
<br />3319.1
<br />892.0
<br />1�-'20
<br />2451.8
<br />502.5
<br />i•,i20
<br />2877.5.
<br />682.0
<br /><' 20,
<br />3330.3
<br />.897.5
<br />1824.1
<br />2461.7
<br />50G.4
<br />,30
<br />2888.0,
<br />686.7
<br />30_
<br />3341.4
<br />903.2
<br />•'30
<br />f,i40
<br />2471.5
<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.
<br />,;50-
<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 />3
<br />61.._
<br />3375.0
<br />920.2
<br />10
<br />2501.2
<br />522.2 .
<br />110
<br />2929.9
<br />705.7
<br />10
<br />-3386.3
<br />925.9
<br />Z '20
<br />2511.2
<br />526.1
<br />!,;20•
<br />2940.4
<br />710.5
<br />'20,
<br />3397.5
<br />931.6
<br />80
<br />2521.1
<br />530.7
<br />'30
<br />2951.0.
<br />715.3
<br />-.30:
<br />3408.8
<br />937.3
<br />C 40
<br />2531.1
<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 />533.2 :,
<br />p „50
<br />2972. f
<br />725.0 .
<br />_•50.
<br />3431.4
<br />948.9
<br />46:,
<br />2551:0
<br />542:2
<br />55,
<br />2982.7•
<br />729.9;;
<br />62
<br />3442.7
<br />954.8
<br />;•t,;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 />'
<br />3465.4
<br />.966.5
<br />;•;30
<br />2581.0
<br />554.5 '
<br />s y30
<br />3014:5
<br />744.6 `,
<br />, 30
<br />3476.8
<br />972.4
<br />5•.;:40
<br />2591.0
<br />558.6 ,
<br />;40,
<br />3025.2
<br />749.6
<br />754.6
<br />-•40
<br />3488.3
<br />3499,7
<br />978.3
<br />984.3
<br />-50
<br />2601.1
<br />562.8:
<br />, ,50.
<br />3035:8
<br />4544.0
<br />,•;,50
<br />..:50
<br />'5143.9
<br />49->
<br />2611.2
<br />566.9
<br />66'^
<br />3046.5
<br />i
<br />759:6;'
<br />63 .": ',
<br />3511.1
<br />990.2
<br />,-r10
<br />2621.2
<br />571.1
<br />r .10
<br />•
<br />3057.2
<br />764.6 '
<br />y,r10•
<br />3522.6
<br />996.2
<br />20
<br />2631.3
<br />575.3 '
<br />20:
<br />3067.9
<br />769.7 '
<br />L-20
<br />3534.1
<br />1002.3
<br />30
<br />2641.4
<br />579.5
<br />1286.5
<br />3078.7
<br />774.7 '
<br />, 30
<br />3545.6
<br />1008.3
<br />;40
<br />2651.5
<br />583.8
<br />.�30,
<br />140
<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 />784.9 �
<br />: ,', ,50
<br />3568.7
<br />1020.5
<br />TABL I.'- Tarigents and Externals to a 16 Curve. V
<br />Chord =100 f t.,
<br />Int. -
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />64°
<br />3550.3
<br />1026.6
<br />71° --
<br />4086.9
<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 />1315.6
<br />10'
<br />.4653:6
<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 />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 />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
<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 />4188.5
<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 />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 />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 />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
<br />40
<br />4364.8
<br />.1786.7
<br />.60
<br />.3780:4
<br />1134.8
<br />50:
<br />4304.6
<br />1436.8
<br />501
<br />4879.2
<br />1796,0
<br />67 1.
<br />3792:4
<br />1141.4'.
<br />74 -'.
<br />4317:6
<br />1444.6
<br />81.' r-'
<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 />3816.4
<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 />1833.6
<br />'-40
<br />3840.5
<br />1168.1
<br />1.-'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 />3852.6
<br />68,'-'
<br />`3864.1
<br />1181:6
<br />.75
<br />4396.5
<br />i
<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 -3889.0
<br />1195.2
<br />r ; 20.
<br />.4423:1
<br />1508.6
<br />::20- '
<br />5010.0
<br />1581:5
<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 />697-
<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 />13950:2
<br />1229.7
<br />-10,
<br />14489.9
<br />1549.7
<br />•10
<br />5084:0
<br />1930.4
<br />1'20 :'.3962:5
<br />1236.7
<br />20.
<br />.4503.4
<br />1558.0
<br />20
<br />:5099.0
<br />4940.3
<br />1.30 .'3974.8
<br />1243.7
<br />.30.
<br />-4516.9
<br />1566.3
<br />30
<br />5113.9
<br />1950.3
<br />-40 ''3987.2
<br />1250.8
<br />--4 0
<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 />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 />1279.3
<br />20
<br />4584.8
<br />1608.6
<br />20
<br />5189.3
<br />2000.6
<br />30 1(4049:3
<br />1286.5
<br />130
<br />4598:5
<br />1617.1
<br />.:-30
<br />,5204.4
<br />2010.8
<br />:40 +
<br />4061.8
<br />1293.6
<br />40
<br />4612.2
<br />1625.7
<br />40
<br />5219:7
<br />2021.1
<br />•50 1,4074:"4
<br />1300.9
<br />50
<br />4626.0
<br />1634.4
<br />50
<br />,5234.9
<br />2031.4
<br />Corrections-tobe:Addedt(T=.Tangent."'E=External:)
<br />Corrections to be Added (T =Tangent. E=External.) f
<br />Int. ; - -
<br />Curve 5°
<br />° _ ° o
<br />10 15 20° 25 '30° `35° �40° 45°, `50° 55° '60°. -65° 70°
<br />Int.
<br />Curve 5°
<br />10° IS° 20°
<br />25° 30° 35°
<br />40° 45° 50°
<br />556 60° 65°
<br />70°
<br />Angle
<br />-Angle-
<br />-
<br />'
<br />''
<br />1.05 1.27 1.49
<br />1.71 1.94 2 17
<br />2,38 2.60 2.83
<br />3.07
<br />T=.13 26` :.40 :53 :67 '.80 ".93 ..108 1.20 1:34 1.49 1:64 1.79 1.94 'T=.21
<br />':315 80°•
<br />.42 .63 .84
<br />1140°
<br />E=.023
<br />.048 ':070 .093 :117 :141 :172 .203 .234 :265 .277 .290 .341
<br />E=_056
<br />.112 .168 .225
<br />.283 .340 .398
<br />.457 .516 .575
<br />.636 .697 .774
<br />,85
<br />T=.15
<br />.30 :44, .60 •.76 .91 1.06 1.21, 1.37 1.52 1.70 1'87 2.04 2.21
<br />65°,
<br />T=.23
<br />.46 69 93
<br />1.16 1.40 1.64
<br />1.88 2.13 2.38
<br />2.63 2.88 3.13
<br />3.39
<br />45°''
<br />:E=.030
<br />.060,_:093 :119 .153 .184 .216 .254 .289 .325 .:351 ..378 .411 .445
<br />E=.067
<br />.135 .204 .273
<br />..343 .412 .483
<br />.554 .625 .697
<br />.711 .845 .922
<br />1.01
<br />`50°
<br />T=.17
<br />.34 .51 .68 .85 1.02' 1.19 1.36 1.54' 1.72 1.91 2.10 2.29 2.48
<br />70°•
<br />T=.25
<br />.51 76 1.02
<br />1.28 1.54 1.80
<br />2.06 2.33 2.60
<br />2.88 3.16 3.44
<br />3.72
<br />E=.037
<br />'.075 ..116 A51 .189 .227 .-,266 .305 .345 .384 .425 .467 .508 .550
<br />E =.080
<br />:159 ,240 .321
<br />.403 .485 .568
<br />.652 .735 .819
<br />•.906 .994 1.08
<br />1.17
<br />T=.19
<br />38 .57 :76 .95 1.14 1.32 1.52 1.72 1.92 2.14 2.35 2.56 2.17
<br />75°
<br />T=.27
<br />.56 .83 1.12
<br />1,40 1.89 1.98
<br />2.27 2.57 2.87
<br />3.18k37,14.09E=.048
<br />55°
<br />.093 .142 .188 .236' .283 .332 3.81 -.420 .479.:530 '.582 ":641 .700
<br />E =.095
<br />,182 .288 .383
<br />.480 .578 .678
<br />.777 .877 .977
<br />1.071.39T=:21-'
<br />.42' .63 84 1.05 1.27 1.49' 1.71, 1.94 2.17 2.38 2.60 2.83 3.07
<br />80°
<br />= 30
<br />.61 .91 1.22.
<br />1.53 1.84 2.15
<br />2.46 2.78 3.10
<br />3.444.4660°
<br />E=1056
<br />.112 :168 ..225 .283 .340 :398 .457 .516 .575 .638 .697 .774 .851
<br />E=.110
<br />.220 .332 .445
<br />..558 .671 .787
<br />.903 1.02 1.13
<br />125
<br />1.8265°T='.23
<br />.46 .69 ..93 1.16 1.40 1.64 1.88 2.13 2:38 2.63 2:88 3:13 3.39,
<br />T=.33
<br />.66 1.00 1.33
<br />1.68 2.02 2.38
<br />2.70 3.05 3.40
<br />3.774.89E=.067
<br />.135 .204 .273. 343 _.412 .453 ..554 .625 .697 -.711 .,845 .922 1.01
<br />E =.128
<br />259 391 524
<br />657 79(1 926
<br />106 120 1.34
<br />1.47
<br />1.91
<br />
|