|
TABLm I. - Tangents and Externals to a 1° Curve.
<br />Cbord=100 ft,
<br />Angle
<br />Tangent
<br />External
<br />Ant. gie
<br />Tangent
<br />External
<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 />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 />6868.8
<br />3215,1
<br />30
<br />5389.9
<br />2136.7
<br />30
<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 />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 />: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 />6323.3
<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 />2315.0
<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 />i 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 />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 />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 />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 />150,
<br />6571.9
<br />2989.2
<br />1.' 50
<br />7444.6
<br />3664.5
<br />,91-
<br />5830.5
<br />2444.9
<br />98
<br />6591.2
<br />300368
<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 />5851.7
<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. 1
<br />6688.8 1
<br />3077.7
<br />50 1
<br />7580.5
<br />3772.6
<br />Corrections to be Added (T =Tangent. E. = External.)
<br />Angle
<br />Curve 5°
<br />106
<br />15°
<br />20°
<br />'25°
<br />30°
<br />35°
<br />40°
<br />-45°
<br />50-1-55-
<br />3791.0
<br />60°
<br />65°
<br />70°
<br />'85°
<br />T=.33
<br />66
<br />1.00
<br />1.33
<br />1.68
<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 />20
<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 />1,76
<br />1.91
<br />90°
<br />T=.36
<br />.72
<br />1.09
<br />1.45
<br />1.83
<br />2.20
<br />2,57
<br />2.94
<br />3.32
<br />3.70
<br />4:10
<br />4.50
<br />4.91
<br />5.32
<br />50.
<br />E=.149
<br />,299
<br />.450
<br />,603
<br />.756
<br />.910
<br />1.07
<br />1.22
<br />1.38
<br />1.54
<br />1.70
<br />1.87
<br />2.03
<br />2.20
<br />;95°
<br />T=.39
<br />79
<br />1.19
<br />1.55
<br />2.00
<br />2.40
<br />2.80
<br />3.20
<br />3.61
<br />4,02
<br />4.49
<br />4.98
<br />5.38
<br />5.83
<br />30
<br />E =.174
<br />.350
<br />.522
<br />,706
<br />,985
<br />1.06
<br />1.25
<br />1.43
<br />1.62
<br />1.80
<br />1.99
<br />2.18
<br />2.38
<br />2.58
<br />100°
<br />T=.43
<br />,86
<br />1.30
<br />1.74
<br />2.18
<br />2.62
<br />3.06
<br />3.50
<br />3.95
<br />4.40
<br />4,88
<br />5.37
<br />5.85
<br />6.34
<br />113
<br />E=.200
<br />.401
<br />.604
<br />.809
<br />1,01
<br />1.22
<br />1.43
<br />1.64
<br />1:85
<br />2.06
<br />2.28
<br />.2,50
<br />2.73
<br />2.96
<br />105°
<br />T=.46
<br />,94
<br />1.42
<br />1.90
<br />2.38
<br />12.87
<br />3.34
<br />3.84
<br />4.35
<br />4.84
<br />5.35
<br />-5.87
<br />G.40
<br />6.93
<br />•'30.:
<br />E=,230
<br />,470
<br />.700 .938
<br />1,17
<br />1,42
<br />1.65
<br />1,90
<br />2.14
<br />2,30
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />TABLE I. - Tangents and Externals to a-1* Curve. -VII
<br />Chord =100 ft.
<br />i Int.
<br />Angle
<br />Tangent
<br />g
<br />External
<br />I Int•
<br />Angle
<br />Tangent
<br />Eaternal
<br />• ,.
<br />Int. -
<br />Angle
<br />'Tangent
<br />g
<br />External
<br />100°
<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 />84681.0
<br />4494,6
<br />50.
<br />9319.5
<br />5210.3.
<br />107
<br />7743.2
<br />3902.9
<br />112
<br />8494.6•'4516.6
<br />3.35
<br />117
<br />9349.9
<br />5236.2
<br />10
<br />7766.8
<br />3921.9
<br />10
<br />8521.3-
<br />4535:8
<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 />4018.2.
<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 />_.
<br />.20
<br />.9598.9
<br />5449.2°
<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".'7983.5
<br />4097.1
<br />40
<br />8767.0.
<br />4743.6
<br />'40'
<br />.9662.6
<br />5564.0
<br />t50,
<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 />5851:0
<br />4814.1
<br />10
<br />9759.4
<br />5587.4
<br />20
<br />8082.3
<br />4177.5
<br />20
<br />'8870.3
<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 />'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 />'57Q0.9
<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 />5208.2
<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 />-309030:9.
<br />5007.8
<br />30 .
<br />10025.0
<br />'5817.0
<br />40
<br />'8285.0
<br />4343.6
<br />-40
<br />0110.3
<br />'5032.6
<br />40
<br />10059.0
<br />5846.5-
<br />17 -50
<br />8310.8
<br />4364.8
<br />- '50
<br />9139:8
<br />5057.6
<br />50 :10093.0
<br />5876.1
<br />Corrections.to be Added (T =Tangent. E=External.)
<br />Int.
<br />Angle Curve S° 10° 15° 20°
<br />�25°
<br />30°
<br />35°
<br />40°
<br />1 45°
<br />50°
<br />55°
<br />60°
<br />65° 70°
<br />100° T=.43 .86 1.30 1.74
<br />2.18
<br />2.62
<br />3.06
<br />3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85 6.34
<br />E=.200 ,401 ,604 .809
<br />1.01
<br />1.22
<br />1.43
<br />1.64
<br />1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73 2.96
<br />105° T=.46 .94 1.42 1.90
<br />2.38
<br />2.87
<br />3.34
<br />3.84
<br />4.35
<br />4.84
<br />5.35
<br />5.87
<br />6.40 6.93
<br />E=.230 .470 .700 .938
<br />1.17
<br />1.42
<br />1.65
<br />1.90
<br />2.14
<br />2.39
<br />2.64
<br />2.90
<br />3.16 3.41
<br />110° T=.50 1.03 1.55 2.08
<br />2.60
<br />3.14
<br />3.66
<br />4.21
<br />4.76
<br />5.31
<br />5.86
<br />6.43
<br />7.01 7.59
<br />E=.260 .535 .808 1.08
<br />1.36
<br />1.63
<br />1.91
<br />2.19
<br />2.49
<br />2.61
<br />3.05
<br />3.35
<br />3.65 3.95
<br />115° T=.54 1.13 1.70' 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 8.35
<br />E =.307 .624 .939 1.26
<br />1.57
<br />1.89
<br />2.21,
<br />2.54
<br />2.87 1
<br />3.20
<br />3.53
<br />3.88
<br />4.23 4.58
<br />120!.'. T=.61 1.25 11.89 2,52
<br />3.16
<br />3.81
<br />4.44
<br />5.11
<br />5.75
<br />6.44
<br />7.11
<br />7.80
<br />8.51 9.21
<br />rE=.339 .720 1.08 1.45
<br />1.82
<br />2.20
<br />2.56,
<br />2,95
<br />3.33
<br />3.72
<br />4.10
<br />4.50
<br />4.91 5.32
<br />
|