|
VI TABLm L - Tangents and' External"s io a V Curve.
<br />Chord= 100 ft.
<br />Engle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />g
<br />External
<br />Int'
<br />Angle
<br />Tangent
<br />External
<br />85°
<br />5250.3
<br />2041.7
<br />92°
<br />5933.2
<br />2518.5
<br />99°
<br />6708.6
<br />3092.7
<br />10'
<br />5265.6
<br />2052.1
<br />10'
<br />5950,5
<br />2531.0
<br />10'
<br />6728.4
<br />3107.7
<br />20
<br />5281.0
<br />2062.5
<br />20
<br />5967,9
<br />2543.5
<br />20
<br />6748.2
<br />3122.9
<br />30
<br />5296.4
<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 />6788.1
<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 />3168.7
<br />69
<br />5343.0
<br />2104,7
<br />93
<br />6037.8
<br />2594.6
<br />100
<br />6828.3
<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 />2126,0
<br />• 20
<br />6073.1
<br />2619.7
<br />20
<br />6868.8
<br />3215.1
<br />30
<br />5389.9
<br />2136.7.,Be
<br />1.90 2.38 2.87
<br />6090,8
<br />2632,6
<br />30
<br />6889.2
<br />3230.8
<br />40
<br />5405.6
<br />2147,5
<br />40'
<br />6108.6
<br />2645.5
<br />40
<br />6909.6
<br />3246.5
<br />-60
<br />5421.4
<br />2158,4
<br />50
<br />6126.4
<br />2658.5
<br />50
<br />6930.1
<br />3262.3
<br />67
<br />5437.2
<br />2169,2
<br />94
<br />6144.3
<br />2671.6
<br />101
<br />6950.6
<br />3278.1
<br />10
<br />5453.1
<br />2180.2
<br />10
<br />6162.6
<br />2684.7
<br />10
<br />6971.3
<br />3294.1
<br />20
<br />5469.0
<br />2191,1
<br />20,
<br />6180.2
<br />2697.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5484.9
<br />2202.2
<br />30
<br />6198.3
<br />2711.2
<br />30
<br />7012.7
<br />3326.1
<br />40
<br />5500.9
<br />2213.2
<br />40
<br />6216.4
<br />2724.5
<br />40
<br />7033.6
<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 />3358.5
<br />68 ".
<br />5533.1
<br />2235,5
<br />95
<br />6252.8
<br />2751.3
<br />102
<br />7075.5
<br />3374.9
<br />10
<br />5549.2
<br />2246.7
<br />- 10
<br />6271.1
<br />2764.8
<br />10
<br />7096.6
<br />3391.2
<br />20
<br />5565.4
<br />.2258.0
<br />20
<br />6289.4
<br />2778.3
<br />20
<br />7117,8
<br />3407.7
<br />30
<br />5581.6
<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
<br />40
<br />6320,3
<br />2805.6
<br />40
<br />7160.3
<br />3440.9
<br />50
<br />5614.2
<br />2292.0
<br />50
<br />6344.8
<br />2819.4
<br />50
<br />7181.7
<br />3457.6
<br />89
<br />5630.5
<br />2303.5
<br />96
<br />6363.4
<br />2833.2
<br />103
<br />7203.2
<br />3474.4
<br />10
<br />5646.9
<br />'2315.3
<br />10
<br />6382.1
<br />2847.0
<br />10
<br />7224.7
<br />3491.3
<br />20
<br />5663.4
<br />2326.6
<br />20
<br />6400.8
<br />2861.0
<br />20
<br />7246.3
<br />3508.2
<br />30
<br />5679.9
<br />2338.2
<br />30
<br />6419.5
<br />2875.0
<br />30
<br />7268.0
<br />3525.2
<br />40
<br />5696.4
<br />2349.8
<br />40
<br />6438.4
<br />2889.0
<br />40
<br />7289.8
<br />3542.4
<br />50
<br />5713.0
<br />2361.5
<br />50
<br />6457.3
<br />2903.1
<br />50
<br />7311.7
<br />3559.6
<br />80
<br />5729.7
<br />2373.3
<br />97
<br />6476.2
<br />2917.3
<br />104
<br />7333.6
<br />3576.8
<br />10
<br />5746.3
<br />2385,1
<br />10
<br />6495.2
<br />2931.6
<br />10
<br />7355.6
<br />3594.2
<br />20
<br />5763.1
<br />2397.0
<br />20
<br />6514.3
<br />2945.9
<br />20
<br />7374.8
<br />3611.7
<br />30
<br />5779.9
<br />2408.9
<br />30
<br />6533.4
<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 />3646.8
<br />b0
<br />5813.6
<br />2432.9
<br />50
<br />6571.9
<br />2989.2
<br />50
<br />7444.6
<br />3664.5
<br />91
<br />5830.5
<br />2444.9
<br />68
<br />6591.2
<br />3003.8
<br />105
<br />7467,0
<br />3682.3
<br />10
<br />2457.1
<br />10
<br />6610.6
<br />3018.4
<br />10
<br />7489.6
<br />3700.2
<br />20
<br />.5847.5
<br />5864.6
<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 />6669.2
<br />3062.8
<br />40
<br />7557.7,
<br />3754.4
<br />50
<br />5916.0
<br />2506.1
<br />50
<br />6688.8
<br />3077.7
<br />50
<br />7580.5,
<br />3772.6
<br />` Corrections to be Added (T =Tangent. E. =External.)
<br />ale
<br />Curve 5°
<br />10° 15°
<br />20° 256 30°
<br />35°
<br />40°
<br />45°
<br />$0° 55°
<br />60°
<br />65°
<br />850
<br />T=.33
<br />.66 1.00
<br />1.33 1.68 2.02
<br />2.36
<br />2.70
<br />3.05
<br />3.40 3.77
<br />4.14
<br />4.55 4
<br />3809.4
<br />E=.128
<br />.259 .391
<br />.524 ':657 .790
<br />',926
<br />1.06
<br />1,20
<br />1.34 1.47
<br />1.62
<br />1.76 1
<br />90o
<br />T=.36.72
<br />1.09
<br />1.45 1.83 2.20
<br />2.57
<br />2.94
<br />3.32
<br />3.70 4.10
<br />4.50
<br />4.91 5
<br />8415.1
<br />E=.149
<br />.299 .450
<br />.603 .756 .910
<br />1.07
<br />1.22
<br />1.38
<br />1.54 1.70
<br />1.87
<br />2.03 2
<br />950
<br />T=,39 .
<br />79 1.19
<br />1.55, 2.00 2.40
<br />2.80
<br />3.20
<br />11.43
<br />3.61
<br />4.02 4.49
<br />4.98
<br />5.38 5
<br />50
<br />E=.174
<br />.350 .522
<br />.706 .985 1.06
<br />1.25
<br />3902.9
<br />1.62
<br />1.80 .1.99
<br />2.18
<br />2.38 2
<br />1000
<br />T=.43
<br />.86 1.30
<br />1.74 2.18 2.62
<br />3.06
<br />3.50
<br />3.95
<br />4.40 4.88
<br />5.37.
<br />5.85 6
<br />5262.3
<br />E=.200
<br />.401 .604
<br />.809 1.01 1.22
<br />1.43
<br />1.64
<br />1.85
<br />2.06 2.28
<br />2.50
<br />2.73 2
<br />n"
<br />T=46
<br />.94 1.42
<br />1.90 2.38 2.87
<br />3.34
<br />3.84
<br />4,35
<br />4.84 5.35
<br />5.87
<br />6.40 6
<br />7838.1
<br />E=.230
<br />A70 .700
<br />.938 1.17 1.42
<br />1.65
<br />1.90
<br />2.14
<br />2.39 2.64
<br />2.90
<br />3.16 3
<br />89
<br />91
<br />33
<br />20
<br />83
<br />58
<br />34
<br />96
<br />93
<br />41
<br />s
<br />TABL$ I. - Tangents and Externals to a 1° Curve. VII
<br />Chord =100 ft.
<br />Int.
<br />'
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<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 />7626.6
<br />3809.4
<br />10'
<br />8362.7
<br />4407.6
<br />10'
<br />9199.1
<br />5107.9
<br />20
<br />7649.7
<br />3827.9
<br />20
<br />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />5133.3
<br />30
<br />7672.9
<br />3846.5
<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..4494.6
<br />6.40 6.93
<br />50
<br />9319.5
<br />5210.3
<br />107
<br />7743.2
<br />3902.9
<br />112
<br />8494.6
<br />4516.6
<br />117
<br />9349.9
<br />5236.2
<br />10
<br />7766.8
<br />3921.9
<br />10
<br />8521.3'
<br />4538.8
<br />10
<br />9380:5
<br />5262.3
<br />20
<br />7790.5
<br />3940.9
<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 />7838.1
<br />3979.4
<br />40
<br />8602,1
<br />4606,0
<br />40
<br />9473.2
<br />5341.5"
<br />50
<br />7862.1
<br />3998.7
<br />50
<br />8629.3
<br />4628.6
<br />50
<br />9504,4
<br />5368.2
<br />108
<br />7886.2
<br />4618.2
<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 />20
<br />7934.6
<br />4057.4
<br />20
<br />8711.5
<br />4697.2
<br />20
<br />9598.9
<br />5449.2
<br />Be
<br />7959:0
<br />4077.2
<br />30
<br />8739,2
<br />4720.3
<br />30
<br />•9630.7
<br />5476.6
<br />40
<br />7983.5
<br />4097.1
<br />40
<br />8767:0
<br />4743.6
<br />40
<br />-9662.6
<br />5504,0
<br />,50
<br />8008.0
<br />4117.0
<br />50
<br />8794,.9.'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 />5615.5
<br />30
<br />8107.3
<br />4197.9
<br />30
<br />8907.7
<br />4861.7•
<br />30
<br />,9792.0
<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 />5672.3
<br />50
<br />8157.5
<br />4239.0
<br />60
<br />8965.0.
<br />4909.9
<br />50
<br />9890.8
<br />'5700.9
<br />110
<br />8182.8
<br />4259.7
<br />115
<br />8993.8
<br />4934:1
<br />120
<br />'9924.0
<br />5729.7
<br />10
<br />8208.2
<br />4280.5
<br />10
<br />9022.7
<br />4958.6
<br />10
<br />9957.5
<br />5758.6
<br />20
<br />8233.7
<br />4301.4
<br />20
<br />9051.7
<br />4983,1
<br />20
<br />9991.0
<br />5787.7
<br />.30
<br />8259.3
<br />4322,4
<br />30
<br />9080.9
<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 />4364.8
<br />50
<br />.9139.8
<br />5057.6
<br />50
<br />S
<br />10093.0
<br />5876.1
<br />Corrections to be Added (T = Tangent. E = External.)
<br />Int.
<br />Angle
<br />Curve 5°
<br />10° 15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45° 50°
<br />55°
<br />60°
<br />65° .700
<br />100°
<br />T=.4 3
<br />.86 , 1.30
<br />1.74
<br />2.18
<br />2,62
<br />3.06
<br />3.50
<br />3.95 4.40
<br />4.88
<br />5.37
<br />5.85 6.34
<br />E =.200
<br />.401 .604
<br />.809
<br />1.01
<br />1.22
<br />1.43
<br />1.64
<br />1.85 2,06
<br />2.28
<br />2.50
<br />2.73 2.98
<br />105°
<br />T=,46
<br />.94 1.42
<br />1.90
<br />2.38
<br />2.87
<br />3.34
<br />3,84
<br />4.35 4.84
<br />5.35
<br />5.87
<br />6.40 6.93
<br />E=.230
<br />.470 .700
<br />.938
<br />1.17
<br />1.42
<br />1.65
<br />-1,90
<br />2.14 2.39
<br />2.64
<br />2.90
<br />3.16 3.41
<br />110°
<br />T=•50
<br />1.03 1.55
<br />2.08
<br />2.60
<br />3.14
<br />3.66
<br />4,21
<br />4.76 5.31
<br />5.86
<br />6.43
<br />7.01 7.59
<br />E=.260
<br />.535 .808
<br />1.08
<br />1.36
<br />1.63
<br />1.91
<br />2,19
<br />2,49 2.61
<br />3.05
<br />3.35
<br />3.65 3.95
<br />115°
<br />T=.54
<br />1.13 1.70
<br />2.29
<br />2.86
<br />3.45
<br />4.03
<br />4,63
<br />5.23 5.83
<br />6.44
<br />7.07
<br />7.70 8.35
<br />E =.307
<br />.624 .939
<br />1.26
<br />1.57
<br />1.89
<br />2.21
<br />2,54
<br />2,87 3,20
<br />3.53
<br />3.88
<br />4.23 458
<br />1200
<br />T=.61
<br />1.25 1.89
<br />2:52'
<br />3.16
<br />3.81
<br />4.44
<br />5,11
<br />5.78 6.44
<br />7.11
<br />7.80
<br />8.51 9.21
<br />E =.339
<br />.72011.08
<br />1.45.
<br />1.82
<br />2.20
<br />2.56
<br />2,95
<br />3.33 3.72
<br />4.10
<br />4.50
<br />4.91 5.32
<br />
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