|
IV- TABLE -I: _ Tangents'and-Externals to a 1° Curve.
<br />Chord =100 • ft.
<br />Int. Int.
<br />Angle Tangent Eatemal Angl© . Tangent External. ' Int. Tangent gent Eaterua
<br />`43°' '2257.0, 428:5 50 2671'.8 592:3• ,57 `•3110.9 790.1
<br />,,10' '2266.6. 432.0 10' 2681.9 596.6 10': J3121.7 705.2
<br />"20 2276:2 ;435.6 20 .2692.1' ,600.9 '20 (3132.6 800.4
<br />30 2285.9' '439.2 �.30 2702:3. 605.3 '.. 30 !3143.4 805.6
<br />40 2295:6 442.8! ,,.40. 2712.b' :609.6 :40 3154:2'. 810.9
<br />50 2305.2' 4'46.4+ 50 2722,7 614,0; .•50 3165.1 S1G.1
<br />i
<br />:44;' 2314.9' 450:0 ' 51 2732.9 618.4 :58 '3176,0 821.4
<br />.10 :2324.6 :453.6-. 10 2743,1, 622,8 : 10 -3186.9 826.7
<br />1.,2;20 2334.31 457,3. :.20. 2753.4 627.2 20 3197:8 832.0
<br />:30 2344.1 461.0+ 30 2763:7 631.7
<br />40 : :2353,8 464,6. ,' ,40 2773.9 636.2 40 3219.7 842.7
<br />30 3208.8 837.3
<br />1.;.50 -2363.5' ;468.4! :.50. 2784.2 640.7 50 3230.7. ,848.1
<br />+
<br />45 •: 2373.3 472.11 52. - 2794.5' 645:2- 59' 3241.7 853.5
<br />:+10 2383:1' 475.8 ' 10 2804.9 649.7 .10 3252.7 &58.9
<br />20 .2392.8 ,479.6 20 2815.2 654.3 20 ' 3263.7 804.3
<br />30 '2402.6 453.4 30 2825.6 658.8. 30 3274.8 869.8
<br />40 :2412.4 .'487.2 40 2835.9 663.4 40 3285.8 575.3
<br />'50 2422.3, 491.0 50 2S46.3, 668.0 50 3296.9 880.8
<br />46... 2432.1 494.8 53 2856:7• 672:7 60 3308.0 836.4
<br />10 2441.9 498.7. ..10 2867.1 ' G77.3 .10 3319.1 892.0
<br />20 2451,8 /502.5 .420 2877:5 682.0: 20 3330.3 897.5
<br />30 2461:7 t506.4 .:30 2888.0 686:7 , 30 3341.4 003.2
<br />40 2471.5 510.3 40 2898.4, 691,4 , 40 3352.6, 905.8
<br />50 2481:4: 514.3 50 2908.9 696.1 50 3363.8 914.5
<br />t
<br />'47 2491.3. 518.2 54' 2919.4 700.9 61 3375.0 920.2
<br />10 2501.2 522.2 10 2929.9 705.7 .10 3386.3 925.9
<br />20 2511.2 526.1 ,20 2940.4 710.5 20 3397.5 931.6
<br />30 2521.1 530.1 ..30 2951:0 715.3 ' 30 3408.8 937.3
<br />.•40 2531.1 534.2- - 40 2961:5 720.1 40 3420,1 943.1
<br />.50 2541:0; 538.2 50 2972:1 725.0 50 3431:4. 948.9
<br />t48 . 2551:0 542:2 ` 55 ' 2982.7 729.9 . 62 3442.7 954.8
<br />10 256110' 546,3 10 2993..3 734.8 10 3454,1 960,6
<br />20 2571:0 '550.4 ' .,',20 3003.9 . 739.7 20.' 3465.4 .966,5
<br />30 2581:0 554.5 ,s30 3014.5 744.6 .30 3476'.8 972.4
<br />40 2591:0' 558.6 : 40 3025.2 749.6 40 3488.3 978,3
<br />50 2601:1. 562.8 :..50 3035.8 754.6 : "_. 50: 3499.7 984.3
<br />E
<br />2611:2 566:9 '' 56 3046.5 • 759.6 63,. ° ' 3511.1 990:2
<br />_10 2621.2 571.1 10 3057.2' 764.6 ' 10 3522,8 996,2
<br />20 2631.3 " 575.3 ; 20 3067:9 769.7, .;.20.: 3534.1 1002,3
<br />30 2641.4 579.5 30 3078.7• 774.7 30 3545.6 1008.3
<br />?•.d'40 2651.5, °583.8 ' 40 3089.4 779.8 40 t 3557.2 1014,4
<br />50 2661:6;' 588.0 ; -,..50 3100:2: 784.9 50,3563.7 1020,5
<br />Corrections to be Added, (T = Tangent: -E = Ext er11a1.) '
<br />Ind
<br />Angle e
<br />rve So,-
<br />'1D°;
<br />15°,
<br />20°
<br />'25°
<br />°
<br />30 .
<br />35°
<br />40°•
<br />' 45°
<br />50°
<br />' 55°
<br />60°"
<br />65°
<br />70°
<br />400.
<br />T=,13
<br />'E =.023
<br />.26..
<br />.046
<br />•.40
<br />.070
<br />.53
<br />.093
<br />; .67
<br />-.117
<br />.80 ..
<br />'.141
<br />93 .
<br />-.172
<br />.106
<br />,.203
<br />1'20
<br />-',234
<br />1.34
<br />.265
<br />1.49
<br />:277
<br />1.61
<br />:200
<br />1.79
<br />.315
<br />1.94
<br />.341
<br />45°
<br />T=•15
<br />E=[030.
<br />30
<br />.44
<br />.60
<br />:76
<br />'.91
<br />1.OG
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1:SJ
<br />2.04
<br />2.21
<br />_ -
<br />;3626:8
<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 />50°T=•17
<br />E-.037
<br />.34
<br />.51
<br />.69
<br />.85
<br />1.02
<br />119
<br />1.36
<br />154
<br />1.72
<br />1.91
<br />2,10
<br />2.29
<br />2.48
<br />10
<br />4175.6
<br />.075
<br />.116
<br />:,:151
<br />.189
<br />.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />.425
<br />,407
<br />.508
<br />.550
<br />55°
<br />T=•19
<br />.046
<br />:38
<br />093
<br />.57
<br />:76
<br />:95
<br />1.14
<br />4765.3
<br />1.52
<br />3.81
<br />1.72
<br />1.92
<br />2:14
<br />2.35
<br />2.56
<br />2.77
<br />60
<br />T-•21
<br />42
<br />.142
<br />.63
<br />,188
<br />.84
<br />.236
<br />1:05
<br />.283_
<br />1;27
<br />FI -.449
<br />1,71
<br />,420
<br />1,94
<br />.479
<br />2.17
<br />.530
<br />2.38
<br />.582
<br />2.60
<br />.641
<br />2.83
<br />.700
<br />3.07E=.056
<br />73
<br />4239.7
<br />112
<br />'.168
<br />-.225
<br />.283
<br />.340
<br />'3732.7
<br />1108,6
<br />10
<br />4252.6
<br />1405.7
<br />10 +
<br />"4822:0
<br />1759.0
<br />6�
<br />T=.23
<br />E=.067
<br />46
<br />.135
<br />G9
<br />93
<br />,273
<br />1.16
<br />1.40
<br />1.64
<br />.457
<br />1.88
<br />,516
<br />2,13
<br />.575
<br />2.38
<br />.636
<br />2.63
<br />.697
<br />2.88
<br />.774
<br />3.13
<br />.851
<br />3.39
<br />30
<br />4350:5
<br />1777.4
<br />.204
<br />.3756.5
<br />3768.5
<br />.343
<br />,412
<br />:483
<br />.554
<br />.625
<br />,697
<br />.711
<br />.845
<br />.922
<br />1.01
<br />TABLE- I. - Tangents and: Externals to a V 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 />35SOt3
<br />1026.6
<br />.71°
<br />4086.9
<br />1308.2
<br />78
<br />.4639.8
<br />1643.0
<br />10' '43591.9
<br />1032.8
<br />10'
<br />.4099:5
<br />1315.6
<br />10
<br />'4353:6
<br />1651.7
<br />20 `+3603.5
<br />1039.0
<br />20;
<br />4112:1
<br />1322.9
<br />20
<br />.4667.4
<br />1060.5
<br />'30
<br />3318:1
<br />1045.2
<br />: 30
<br />4124.8
<br />1330.3'
<br />•30
<br />4681.3
<br />1689.2
<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 />1345.1:50
<br />T=.23
<br />,4709.2
<br />1686.9
<br />1:3650.2
<br />2.38
<br />1063.9
<br />72 '
<br />4162:8
<br />1352.6
<br />.-
<br />79 '
<br />4723.2
<br />1695.8
<br />10
<br />.412-.483
<br />1070.2
<br />10
<br />4175.6
<br />1360.1
<br />-10
<br />4737.2
<br />1704:7
<br />,:3661:9
<br />:20
<br />:3673.7
<br />1076.6
<br />20.
<br />4183.5
<br />1367.6
<br />20
<br />.47512
<br />.1713.7
<br />30
<br />3685.4
<br />1082.9
<br />30.
<br />4301.2
<br />1375.2
<br />30
<br />4765.3
<br />1722.7
<br />40
<br />36972
<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 />r50
<br />:4793.6
<br />1740.8
<br />3.78
<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 .:4836:2
<br />2.4fi
<br />1768.2
<br />30
<br />3.44
<br />1121,7
<br />30
<br />4273.5
<br />14212
<br />30
<br />4350:5
<br />1777.4
<br />40
<br />.3756.5
<br />3768.5
<br />1128,2
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />, 436418
<br />1786.7
<br />:50
<br />3780.4
<br />1134,8
<br />" 50,
<br />4304.6
<br />1436.8
<br />50
<br />„4879.2
<br />1796.0
<br />t
<br />67
<br />3702.4
<br />1141,4
<br />74 .
<br />4317.6
<br />1444.6
<br />81-
<br />4893.6
<br />1805:3
<br />10
<br />380414
<br />1148.0,
<br />10.
<br />4330::7
<br />1452.5 .
<br />10 ,•4908.0
<br />1.06
<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 />,
<br />3828.4
<br />1161.3
<br />4356.9
<br />1468.4
<br />30
<br />4937:0
<br />1833.6
<br />1-30
<br />-40
<br />3840:5
<br />1168.1
<br />.30
<br />40
<br />4370.1
<br />1476.4
<br />40.4951.5
<br />•1843.1
<br />50
<br />-3352.6
<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 />75
<br />4396.5
<br />1492:41
<br />.82-
<br />4980.7
<br />1862:2
<br />10.
<br />3376.8
<br />1188.4
<br />10,
<br />4409.8
<br />1500.5?
<br />+10
<br />4995.4
<br />1871.8
<br />20
<br />3SS9.0
<br />1195.2
<br />20 j
<br />4423.1
<br />1508,6
<br />20 j
<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 t
<br />5039:5;
<br />1900.9
<br />50
<br />,3925.6
<br />1215.8
<br />_: 50
<br />4463;1
<br />1533.1
<br />,,-;50 ';5054;3:
<br />1910.7
<br />69 7, :
<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 />1229.7
<br />10.
<br />4489.9
<br />1549.7
<br />10
<br />'5054.0,
<br />1930.4
<br />20
<br />.=3956.2
<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 />4243.7
<br />30
<br />4516.9
<br />1566.3
<br />30
<br />5113'.9
<br />1950.3
<br />40 4:3987.2
<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 />1'4514:0
<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 :.4024.4
<br />1272.1
<br />-1Q
<br />4571:2
<br />1600.1
<br />10
<br />5174:1
<br />,1990.5
<br />'2000.6
<br />:4030.8
<br />1279.3'
<br />20
<br />4584.8
<br />1608.6
<br />20 :
<br />5189.3
<br />,20
<br />30 ,
<br />4049:3
<br />3236.5 .
<br />30 :,4598.5
<br />1617.1
<br />,30
<br />-5204.4
<br />`2010.8
<br />40
<br />.4051.8
<br />1293.6'
<br />40
<br />4612.2
<br />1625.7
<br />40
<br />5219:7.
<br />42021.1
<br />,,.:.50
<br />4074.4
<br />1300.9.
<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 />Curve 5°
<br />10°
<br />150
<br />No
<br />'256
<br />'30°
<br />35°
<br />40°
<br />1 450
<br />50°
<br />`550
<br />60°
<br />70°
<br />-Angle..
<br />. -.-...
<br />a.
<br />,'60°
<br />T=.21
<br />1.05
<br />1.27
<br />1.49
<br />1.94
<br />2.17.
<br />2.38.
<br />2:60_.
<br />3.07
<br />1!;=.056
<br />.42
<br />.112
<br />.63
<br />.168
<br />.84
<br />.225
<br />.03,
<br />.283
<br />.340
<br />.171
<br />.398
<br />.457
<br />.516
<br />.575
<br />'.636
<br />.697
<br />.851
<br />T=.23
<br />116 1.40
<br />1:64.
<br />1,88' 2.13
<br />2.38
<br />r3.13
<br />2.63 2.88';3.39
<br />65'
<br />_.
<br />E =.067
<br />.46
<br />' .135
<br />.69
<br />:204
<br />.273
<br />1.02.
<br />.343
<br />.412-.483
<br />.554
<br />.625
<br />.697
<br />..711
<br />-.845
<br />1.01
<br />T=.25; ' .51 .76
<br />1.28 1.54
<br />1.80
<br />2:06 2.33
<br />2.60.
<br />2.88 3.16
<br />3.72
<br />E=080
<br />.159
<br />.240
<br />.321'
<br />.403
<br />.485
<br />.568
<br />-.652
<br />.735
<br />.819
<br />.906
<br />.9941:17
<br />750 '
<br />T=.27
<br />56.
<br />.83
<br />1.12
<br />1.40
<br />1'.69.
<br />1.98
<br />2,27
<br />2.57
<br />2.87
<br />3.16
<br />3.47
<br />3.78
<br />4.09
<br />E =.095
<br />.182
<br />.286
<br />,383
<br />:480
<br />.578
<br />.678
<br />-.777.877
<br />.977
<br />1.07'
<br />1.18.
<br />1.29
<br />1.39
<br />800
<br />"T=.30
<br />.61
<br />91
<br />1.22
<br />1,53
<br />1.84.
<br />2:15
<br />2.4fi
<br />2.78
<br />3I
<br />3.44
<br />3.78
<br />4.12
<br />4.46
<br />E=.110
<br />.220
<br />332
<br />..445
<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 />850
<br />T=.33
<br />66
<br />1.00
<br />1.33
<br />1.68
<br />H.
<br />2:02
<br />2.36
<br />2:70'
<br />3.05
<br />3.40
<br />3.77
<br />4.14
<br />4.55.
<br />4.89
<br />E='128
<br />.259
<br />.391
<br />.524
<br />.657
<br />.790
<br />.926
<br />1.06
<br />1.20=
<br />1.34.
<br />1.47.
<br />1.62
<br />1.78
<br />1:91
<br />
|