|
TABI-m 1.--7- Tangents and Externals to a 1° Curve.
<br />Chor.d =100 ft_
<br />Int.
<br />Angle"
<br />Tangent
<br />External
<br />Angle "
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />:85°
<br />5250.3
<br />204 1. 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 '.6808.2'
<br />9319,5
<br />3168.7
<br />86 "
<br />5343.0
<br />2104.7
<br />93
<br />6037.8
<br />2594.0
<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 />9411,3
<br />3215.1
<br />30
<br />5389.9
<br />2136.7
<br />30"
<br />6090.8•
<br />2632.6
<br />130
<br />.6868.8
<br />3230,8
<br />40
<br />5405.6
<br />2147.5
<br />40
<br />6108.6
<br />2645.5
<br />40
<br />.6889.2
<br />6909.6
<br />3246.5
<br />50
<br />5421.4
<br />2158.4
<br />50.
<br />6126.4
<br />2658.5
<br />50
<br />6930.1
<br />3262.3
<br />87'
<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 />88 '
<br />5533.1
<br />2235.6
<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 />5535.4
<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 />6323.3
<br />2805.6
<br />40
<br />1160.3
<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 />2315.0
<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 />.
<br />50
<br />7311.7
<br />3559.6
<br />90
<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 />7355.6
<br />3594.2
<br />20
<br />5763.1
<br />2397.0
<br />20
<br />6514.3
<br />2945.9
<br />.10
<br />20
<br />7377.8
<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 />50
<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 />98
<br />6591.2
<br />3003.8
<br />105
<br />7467.0
<br />3682.3
<br />10
<br />5847,5
<br />2457.1
<br />10
<br />6610.6
<br />3018.4
<br />10 -
<br />7489.6
<br />3700.2
<br />20
<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 />377
<br />Int.
<br />Angl
<br />'85°
<br />90°
<br />95°
<br />100°
<br />105°
<br />Corrections to be Added (T = Tangent. , E. = External.) '
<br />Carve 5° 100 1150 20° 25° 30° 135° 40° 45° 50° 65`
<br />55°I 60°
<br />E=.128 I •,25966 11.3399111 52411 657.33 12.79012 92611.06 11.20 11.34 11.47 1-1,62 3.40 3.77 11.7E
<br />T=,46 94
<br />E -MO 470
<br />4.84
<br />2.39
<br />i,
<br />2.6
<br />70°
<br />4.89
<br />1.91
<br />2.96
<br />TABLE I. - Tangents and Externals to a V Curve. VII
<br />: Chord =100 ft.
<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 />6169.4
<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
<br />4494.6.
<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 />8689.3
<br />4628.6
<br />50 "
<br />9504,4
<br />5368.2
<br />108'
<br />7886.2
<br />4018.2
<br />113
<br />8656:6.'4651.3
<br />.624
<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 />30'
<br />7959.0
<br />4077.2
<br />30
<br />'87392
<br />4720.3
<br />30
<br />9630,7
<br />5476.5
<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
<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 />5615.5
<br />30
<br />8107.3
<br />4197.9
<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 />19857.7
<br />5672.3
<br />50
<br />8157.5
<br />4239.0
<br />50
<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 />8285.0
<br />4343.6
<br />40
<br />'9110.3
<br />5032.6.
<br />40
<br />10059.0
<br />5846.5
<br />.40
<br />50
<br />8310.8
<br />4364.8
<br />50
<br />9139,8
<br />5057.6•
<br />50
<br />10093,0
<br />5876.1
<br />Corrections to be Added (T =Tangent. E=External.)
<br />Int,
<br />Angle
<br />Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°t2.873.34
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />76°
<br />T=,43
<br />.86
<br />1.30
<br />1.74
<br />2.18
<br />3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85
<br />6.34,
<br />100°
<br />E =•200
<br />.401
<br />.604
<br />.809
<br />1.01
<br />1.64
<br />1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73
<br />2.96
<br />1.42
<br />1.90
<br />2.38
<br />3.84
<br />4.35
<br />4.84
<br />5.35
<br />5.87
<br />6.40
<br />6.93
<br />105°
<br />..T=.46
<br />E =,230
<br />.94
<br />.470
<br />.700
<br />.938
<br />1.17
<br />1.90
<br />2.14
<br />2.39
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />T=.50
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />4.21
<br />4.76
<br />5.31
<br />5.86
<br />6.43
<br />7.01
<br />7.59
<br />110°
<br />E=.260
<br />.535
<br />.808
<br />1.08
<br />1.36
<br />2.19
<br />2.49
<br />2.61
<br />3.05
<br />3.35
<br />3.65
<br />3.95
<br />115 o
<br />T=.54
<br />1.13
<br />1.70'
<br />2.29
<br />2.86
<br />3.45
<br />4.03
<br />4.63
<br />5.23
<br />5.83
<br />6.44
<br />7.07
<br />7.70
<br />8.35
<br />E=',307
<br />.624
<br />.939
<br />1.26
<br />1.57
<br />1.89
<br />2.21
<br />2.54
<br />2.87
<br />3.20
<br />3.53
<br />3.88
<br />4.23
<br />4.58
<br />120o
<br />T=,61
<br />1.25
<br />1.89
<br />2.52
<br />3.16
<br />3.81
<br />4.44
<br />5.11
<br />5.78
<br />6.44
<br />7.11
<br />7.80
<br />8.51
<br />9.21
<br />E=.339
<br />.720
<br />1.08
<br />1.45
<br />1.82
<br />2.20
<br />2.56
<br />2.95
<br />3.33
<br />3.72
<br />4.10
<br />4.5D
<br />1 4.91
<br />5.32
<br />A
<br />
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