|
VI TABLE I. - Tangents i1,nd Externals to a 1° Curvc.
<br />C11ord"=100 ft.
<br />Yn
<br />Angle
<br />Tan ent
<br />s
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />In
<br />Angle
<br />Tangent
<br />g
<br />External
<br />.85°
<br />5250,3.
<br />2(1]1,7
<br />92°.•
<br />5933,2
<br />2518:5
<br />99°-
<br />- 6708.6
<br />3002.7
<br />10'
<br />5215.61.
<br />20:12.1
<br />10'
<br />5930,5
<br />'2531.0
<br />10'
<br />6728.4
<br />3107.7
<br />20
<br />5 231:0
<br />2062-5
<br />20
<br />5967.9
<br />2543.5
<br />20
<br />' 6748.2
<br />3122.9
<br />30
<br />5206.4
<br />2073.0
<br />-30
<br />5985.3
<br />2556.0
<br />30
<br />6768.1
<br />3138.1
<br />40
<br />5311.9
<br />2083.5
<br />40
<br />6002.7
<br />2568.6
<br />40
<br />678S.1
<br />3153.3
<br />50
<br />5327:4
<br />2094.1
<br />-"50
<br />6020.2
<br />2581.3
<br />50
<br />.6808.2
<br />3163.7
<br />86
<br />5343.0
<br />2104.7_
<br />93,-
<br />6037.8
<br />2594,0
<br />100
<br />G828.3
<br />3184.1
<br />10
<br />5358.6
<br />2115.3
<br />10
<br />6055.4
<br />2606.8
<br />10
<br />6848.5
<br />3199.6
<br />20
<br />5374,2
<br />2126.U.
<br />"20
<br />-G073.1
<br />2619,7
<br />20
<br />0368.8
<br />3215.1
<br />30
<br />5389.9
<br />2136.7-
<br />30
<br />6090.8
<br />2632,6
<br />30
<br />G389.2
<br />3230.E
<br />40
<br />5406.G
<br />2147.6
<br />40
<br />G10S.6
<br />2645.5
<br />40
<br />0909.6
<br />32461.5
<br />50
<br />5421.4
<br />2158.4,
<br />50
<br />G126.4
<br />2658.5
<br />50
<br />6930.1
<br />3262.3
<br />87
<br />-10
<br />.5437:2
<br />2169:2
<br />94
<br />6144.3
<br />2G71.G
<br />104
<br />6950,6
<br />3278.1
<br />-
<br />5453:1
<br />21SO.2
<br />10
<br />6,162-6
<br />2684.7
<br />10
<br />6971.3
<br />3204.1
<br />- 2U
<br />5167,0-
<br />2191.1
<br />";"20
<br />61SO.2
<br />2697.9
<br />20
<br />6992,0
<br />3310.1
<br />3U
<br />5184.9
<br />,2202.2
<br />rc 30
<br />6108.3
<br />2711.2
<br />30
<br />7012.7
<br />3326.1
<br />4U
<br />5500 9
<br />2213.2
<br />40
<br />6216.4
<br />272•t.5
<br />40
<br />70.33.6
<br />3342.3
<br />50
<br />5517.0
<br />2224.3
<br />50,
<br />6234.6
<br />2737.9
<br />50
<br />7054.5
<br />3353.5
<br />88" --
<br />5533.1
<br />2235:5
<br />95
<br />6252.8
<br />2751.3
<br />101,
<br />7075.5
<br />3374.9
<br />10
<br />5549,2
<br />2246-7
<br />j' -10
<br />6271.1
<br />2764.8
<br />10
<br />7006.6
<br />3391.2
<br />20
<br />5565.4
<br />225S.0
<br />20
<br />62S9.4
<br />2778.3
<br />20
<br />7117.8
<br />3107.7
<br />30
<br />5581.5
<br />2269.3
<br />30
<br />6307.9
<br />2792.0
<br />30
<br />7139.0
<br />3424.3
<br />40
<br />5597•.8
<br />2280.6 r
<br />40
<br />G320.3
<br />2805.6
<br />40
<br />7160.3
<br />3440.9
<br />50'
<br />5614.2
<br />2202-0/
<br />50
<br />G344.8
<br />2819.4
<br />50
<br />7181.7
<br />3457,0
<br />89
<br />-5630.5
<br />2303.15
<br />90,.
<br />G303.4
<br />2833.2
<br />103
<br />7203-2
<br />3474.4
<br />- 10
<br />5646"9
<br />2315.0
<br />10
<br />6382,1
<br />2847.0,
<br />10
<br />7224-7
<br />3191.3
<br />920
<br />5663.4
<br />_.2320.6
<br />20
<br />6100.8
<br />2361.0
<br />20
<br />724G-3
<br />3503.2
<br />30
<br />.5679'.9 ,_'2338.2
<br />.4322.4
<br />30
<br />0119.5
<br />257:1.0
<br />30
<br />7268.0
<br />3.525,2
<br />•40
<br />.5695.4
<br />2349.8
<br />40
<br />61438.4
<br />2589.0
<br />40
<br />.7280.8
<br />3542,4
<br />50
<br />5713.4
<br />2361.5
<br />50.
<br />6457.3
<br />2903.1
<br />50
<br />731 f.7
<br />3559,6-
<br />00
<br />5729.7
<br />2373.3
<br />97
<br />6476.2
<br />2917.3
<br />104
<br />7333. G'
<br />'3576.8
<br />10
<br />5746.3
<br />2385:1
<br />10
<br />6495.2
<br />2931.6
<br />10
<br />7355.G
<br />3591.2
<br />20
<br />5763.1
<br />2397.0
<br />20
<br />6514.3
<br />2945.9
<br />2G
<br />7377:8
<br />3611.7
<br />30
<br />5779.9
<br />2408.9
<br />30
<br />6:333.4
<br />2960.3
<br />30
<br />7399.9
<br />3629•2
<br />40
<br />5796:7
<br />2420.9
<br />40
<br />6552.6
<br />2974.7
<br />40
<br />7422.2
<br />3046.8
<br />50
<br />5813.6
<br />2432.9
<br />50
<br />6571.9
<br />2989.2
<br />50
<br />7444.6
<br />3GG4.5
<br />01
<br />5830:5
<br />2444,9
<br />98
<br />6:191.2
<br />3003.8
<br />105
<br />7-167.0
<br />3682.3
<br />10
<br />7
<br />584 5
<br />2457,1
<br />10
<br />'6610.6
<br />3018.4
<br />10
<br />.7480.6
<br />3700.2
<br />20
<br />5564.0
<br />2469.3
<br />20
<br />6630.1
<br />3033.1
<br />20
<br />7512.2
<br />3718.2
<br />30
<br />5881.7
<br />2481.5
<br />30
<br />6649.6
<br />3047 9 ',
<br />30
<br />.7534.9
<br />3736.2
<br />40
<br />5898-8
<br />2493.8
<br />40
<br />6009.2
<br />3062,8
<br />40
<br />7557.7
<br />3754.•4
<br />50
<br />5910.0
<br />2506.1
<br />. 50
<br />CUSS.8
<br />3077.7
<br />50
<br />75SO.S
<br />3772.6
<br />Corrections to be Added (T =Tangent. E.- External.)
<br />Ynt.
<br />Augle
<br />Curve S°`
<br />10° 15° 20° 25-30°
<br />35° 40° 45'
<br />50° 55°
<br />60° 65° 70°
<br />85°
<br />T=.33
<br />.66 1.00 1:33 US
<br />2.02. 2.36 2.70 3.05
<br />11.20
<br />3-40 3.77
<br />4.14 4,55 4.80
<br />111°
<br />E=.128
<br />.250 .391 .524 .6571
<br />.790 -.92611.06
<br />1-34 1.47
<br />1.62 1.76 1.91
<br />90°
<br />T=.36,
<br />.72 LOD 1.45 1.83
<br />2.20 2.57 2.94 43.32
<br />3."r0 4.10
<br />4_50 4.91 5.32
<br />10'
<br />E=.149
<br />.299..450 .603 .756.910
<br />1.07 1.2211:3811.51
<br />1"70
<br />1.87 2.03 2.20
<br />95'
<br />T=.39
<br />.79 1,19 11.55 2.00
<br />2.40 2.80.3.20 3.61
<br />11.62
<br />4.02 4.49 4,98 5.38 5.83
<br />5133.3
<br />L =,1 i4
<br />,350 .522E .,706 .985
<br />1.00 1.25 1,43
<br />1.80 11.90
<br />2.18 12.33 2-58
<br />109°
<br />T=.43
<br />.86 1.30' 1.74 2.18
<br />2.62 3.06. 3.50 3:93 i
<br />4.40 4.88
<br />5.37 5.85 6.34
<br />3865.2
<br />E=2C0
<br />.401 .604 .8001.01•
<br />1.22 1,43 1.61 28512.05
<br />2.28
<br />2.50 2.73 2-96
<br />105°
<br />T=AO
<br />.94 1.42 MO 2.38
<br />2.87 13.34 3.84 C35
<br />4.84 5.35 5.87 6.40 6.93
<br />8468.0
<br />E =.x30
<br />.410 .,•CO .938 1,17
<br />1-42 1.65 1.90 12.14 2"39 2.64
<br />2.90 3.16 3.41
<br />TABLE L_ -:Tangents and--Externals-to a 1° Curve.. VII
<br />Chord ='100 ft.
<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 />106°
<br />7603.5
<br />3791.0
<br />111°
<br />8336.7
<br />4386.1
<br />-116° '
<br />9169.4
<br />5082.7
<br />10'
<br />762G.6
<br />:3609.4
<br />10'
<br />8362.7
<br />4407.6
<br />10'
<br />.9(99.1
<br />5107.9
<br />20
<br />7649.7
<br />3927.9
<br />20
<br />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />5133.3
<br />30
<br />7672.9
<br />3346.5
<br />30.
<br />8415,1
<br />4450.9
<br />30
<br />9259;0
<br />5158.8,
<br />40
<br />7696.3
<br />3865.2
<br />40
<br />8441.5
<br />4472.7
<br />40.
<br />9289.2
<br />5184.5
<br />50
<br />7719.7
<br />3884.0
<br />50'
<br />8468.0
<br />4494.6
<br />50
<br />93195
<br />5210.3
<br />107
<br />7743.2
<br />3902.9
<br />112
<br />8494.6
<br />4516.6
<br />117
<br />0349.9 :'5236.2
<br />1.91 2.19 2,49
<br />10
<br />7766.8
<br />3921.9
<br />10
<br />5521.3
<br />4538.8
<br />10
<br />9380,5
<br />5262.3
<br />20
<br />7790.5
<br />,3040.9
<br />20
<br />8548.1
<br />4561.1
<br />20
<br />9411.3
<br />5288.6
<br />30
<br />7814,3
<br />.3960.1
<br />30
<br />8575.0,
<br />4583.4
<br />- .30
<br />9442.2
<br />5315.0 -
<br />40
<br />7835.1
<br />3979,4
<br />40
<br />8602.1
<br />460G.0
<br />40
<br />9473,2
<br />5341.5
<br />50
<br />7862.1
<br />399S.7
<br />5U
<br />8629.3
<br />4628.6
<br />50
<br />9504,4
<br />5368.2
<br />106
<br />7886.2
<br />40M2
<br />113
<br />8656.6
<br />4651.3
<br />118 .
<br />9535.7
<br />5395.1
<br />'10
<br />7910.4
<br />4037.8
<br />10
<br />8684,0
<br />4674-2
<br />10
<br />9567.2
<br />5422.1
<br />2D
<br />7934.6
<br />4057-.4
<br />20-
<br />8711.5
<br />4697.2
<br />20
<br />9598.9
<br />5440.2.
<br />30 .
<br />7959.0
<br />4077.2
<br />30
<br />8739.2
<br />4720.3
<br />30
<br />9630.7
<br />:5476.5
<br />40
<br />7983.5
<br />4007.1
<br />40
<br />8767.0
<br />4743,6
<br />.40
<br />0662.6
<br />.5504.0
<br />50
<br />S008.0
<br />4117.0
<br />50
<br />8794.9
<br />4766.9
<br />'50
<br />9694.7
<br />5531.7
<br />109
<br />8032.7
<br />4137.1
<br />114
<br />8822.9
<br />4790.4
<br />119
<br />9727.0
<br />5559.4
<br />10
<br />8057.4
<br />'4157.3
<br />10
<br />8851.0
<br />4814.1
<br />10
<br />9759.4
<br />5587.4
<br />20
<br />8082.3
<br />4177-5
<br />.20
<br />8879.3
<br />.4837.8
<br />20
<br />9792.0
<br />'.5615.6
<br />30
<br />8107.3
<br />4197-0
<br />30
<br />8907,7
<br />4861.7
<br />30
<br />9824.8
<br />5643.8
<br />40
<br />8132.3
<br />4218-4
<br />40
<br />8936.3
<br />4885.7
<br />40
<br />9857.7
<br />.5672.:
<br />50
<br />8157.5
<br />4239.0
<br />50
<br />6965.0
<br />'4909.9
<br />50
<br />9590.8''
<br />5700.9
<br />110
<br />8182,8
<br />4259.7
<br />115
<br />8993.8
<br />-4934.1
<br />120
<br />0924.0,
<br />5729.7
<br />10
<br />8208.2
<br />4280.5
<br />10
<br />9022.7
<br />4958.6
<br />10
<br />9957.5..5758.6
<br />20
<br />8233.7
<br />4301.4
<br />20
<br />9051.7
<br />498311
<br />20
<br />9901.0 ',5787.7
<br />30
<br />8259.3
<br />.4322.4
<br />30
<br />0080.9
<br />.5007,8
<br />30 .
<br />10025.0
<br />•5817.0
<br />40
<br />8285.0
<br />4343.6
<br />40
<br />9110.3
<br />5032.6
<br />40-
<br />10059.0
<br />5846.5
<br />50
<br />8310.8
<br />43GC 8
<br />50
<br />9139.8
<br />,5057.G
<br />50
<br />10093.0
<br />5876.1
<br />:.o
<br />Corrections to be Added (T=Tangent. E=External.)
<br />IntAngie CUC90 5°
<br />10° 15°
<br />20°
<br />3i
<br />25°
<br />30°
<br />35° 40°. 451
<br />50°
<br />55°
<br />601
<br />65°
<br />700
<br />T=,43
<br />1.30
<br />2.18
<br />2.62
<br />3.06 3.50 3.95
<br />4.40
<br />4.88
<br />5.37
<br />6.85
<br />.8.34
<br />700° E=.200
<br />.86
<br />401 .604
<br />.809
<br />1.01
<br />1.22
<br />1.43 1.64 1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73
<br />2.98
<br />T=,46
<br />1.42
<br />1.90
<br />2.382.87
<br />3.34 3:84 1.35
<br />9.Si
<br />5.35
<br />5.87
<br />6.40
<br />5.03
<br />105, E =,230
<br />.94
<br />.470, .700
<br />.938
<br />1.17
<br />1,42
<br />1.65 1.90 2.14
<br />2.39
<br />2.64
<br />2.90
<br />3.16
<br />8.41
<br />T=.50
<br />1.03 265
<br />2.08
<br />2.60
<br />3.14
<br />3.68 4.21 4.78
<br />5.31
<br />5.66
<br />8.43
<br />7.01
<br />7.50
<br />110°
<br />E=.260
<br />.535 .808
<br />1.08
<br />1.36
<br />1.63
<br />1.91 2.19 2,49
<br />2.61
<br />3.05
<br />3.35
<br />3.05
<br />3.95
<br />T=.54
<br />1.13 1.70
<br />2.29
<br />2.86
<br />3,45
<br />4.03 4,63 5.23
<br />5.83
<br />6.44
<br />7.07
<br />7.70
<br />8.35
<br />115°
<br />E=.307
<br />.624 .039
<br />1.26
<br />1.57
<br />1.89
<br />2,21 ,2.54 2.87
<br />3.20
<br />3.53
<br />3.88
<br />4.23
<br />4.58
<br />T=,61
<br />1.25 1..89
<br />2.52
<br />3.16
<br />3.81
<br />4.44 5.11 5.78
<br />6.44
<br />7.11
<br />7.80
<br />8.51
<br />0.21
<br />120,
<br />E=.339
<br />.720 L.OS
<br />1.45
<br />1.82
<br />2.20
<br />2.26 2.95 3.33
<br />3.72
<br />4.10
<br />4.50
<br />4.91
<br />5.82
<br />w 9r
<br />
|