|
VI TABLE I. - Tangents and E-Aernals to a 1° Curve,
<br />Cbord=100 ft.'
<br />Int.
<br />Anglo
<br />Tangent
<br />Extenial
<br />Angle
<br />Angle
<br />Tan ent
<br />g
<br />External
<br />]nt'
<br />Angle
<br />Tan ent
<br />g
<br />External
<br />85°
<br />5250.1
<br />2041.7
<br />92°
<br />.1933.2
<br />2518.5
<br />99°
<br />6708.6
<br />309.7
<br />10'
<br />5205.6
<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 />L9S5.3
<br />2550.0
<br />.30
<br />6768.1
<br />3138.1
<br />40
<br />5311.9
<br />2083.5
<br />40
<br />6002.7
<br />2563.6
<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 />03
<br />6037.8
<br />2594.0
<br />100
<br />G828.3
<br />3184.1
<br />10
<br />5338.6
<br />2115.3
<br />10
<br />6055,4
<br />2600.8
<br />I0
<br />G848.5
<br />3199.G
<br />20
<br />5374.2
<br />2126.0
<br />20
<br />6073.1
<br />2010.7
<br />20
<br />G868.S
<br />3215.1
<br />30
<br />5389.9
<br />2136.7
<br />3U-
<br />6090,8
<br />2032.6
<br />30
<br />6859.2
<br />3230.9
<br />40
<br />5105.6
<br />21.47.5
<br />40
<br />6108,6
<br />2645.5
<br />40
<br />6909.61
<br />32.16.5
<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 />207L. 6
<br />101
<br />G030.6
<br />3278.1
<br />10
<br />5453.1
<br />2150.2
<br />10
<br />6162.6
<br />2684.7
<br />10
<br />6971.3
<br />3294.1
<br />20
<br />5169.0
<br />2191.1
<br />2U
<br />6180.2
<br />2697.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5 184. 0
<br />2303.2
<br />30
<br />GIOS.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 />1
<br />6234.6
<br />2737.9
<br />50
<br />7054.5
<br />3358.5
<br />88
<br />5533,1
<br />2235.5
<br />95
<br />6252.8
<br />2751.3
<br />102
<br />7075.3
<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 />2238.0
<br />20
<br />6'289.4
<br />2778.3
<br />20
<br />7117.8,
<br />3107.7
<br />30
<br />5581.6
<br />2269.3
<br />r 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 />6326.3
<br />2805.G
<br />40
<br />7100.3
<br />3440.9
<br />50
<br />5614,2
<br />229,0
<br />60
<br />G344,8
<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 />6646.9
<br />2315.0
<br />-10
<br />6382.1
<br />2347.0
<br />90
<br />722.1.7
<br />3491,3
<br />20
<br />5063.4
<br />2326.6
<br />20
<br />6100.8
<br />2361.0
<br />20
<br />7216.3
<br />3503,2
<br />30
<br />5679.9
<br />2338.2
<br />30
<br />G110.5
<br />2875.0
<br />30
<br />7208.0
<br />3325.2
<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 />3359.G
<br />90
<br />5729.7
<br />2373.3
<br />87
<br />G-176.2
<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 />359.1.2
<br />20
<br />5763.1
<br />2397.0
<br />20
<br />6514.3
<br />2945.9
<br />20
<br />7377.8
<br />3G11,7
<br />30
<br />5779.9
<br />2408.9
<br />30
<br />0533.4
<br />2960.3
<br />30
<br />7399.9
<br />3029.2
<br />40
<br />5796.7
<br />2420.9
<br />40
<br />6552.6
<br />2974.7
<br />40
<br />7122.2
<br />3640.8
<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 />01
<br />5830.5
<br />2444.9
<br />98
<br />6391.2
<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 />5381.7
<br />2481.5
<br />30
<br />6649.6.
<br />3047,9
<br />30
<br />_
<br />7534.9
<br />:MG.2
<br />40
<br />5893.8
<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 />250G.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 />Int. Curve 5°
<br />Angle
<br />101
<br />151 201
<br />25° 3D° 351 401 45°
<br />SD' 55° 60°
<br />65° -70°
<br />85° T=.33
<br />.66
<br />1.00 1.33
<br />L68 2.02 2.30 2.,0 3.05
<br />11.20
<br />340 3.77 4.14
<br />4.55- 4.89
<br />E =_128
<br />.250
<br />.391 .521
<br />.657 .790 .920 1.06
<br />1.34 1.47 1.62
<br />1.76 1.91
<br />90' T = �G
<br />72
<br />1.09 1.45
<br />1.83 2.20 2,57 2.94
<br />3, i 0 4.10 4.50
<br />4.91 5.32
<br />E =.149
<br />.209
<br />.450 .603
<br />13.32
<br />.756 .910 Y.07 1.22 1,38
<br />1.54 1.70 1.87
<br />2.03 2.20
<br />95° T=.39
<br />.79
<br />'7.19 11.55
<br />2.00 2.40 2.80 3.2013.61 4.02 4.98
<br />5.38 5.83
<br />E =.174
<br />,350
<br />5221..706
<br />14.49
<br />.985 1.06 1.25 1,43 1.62 1.80 1.99 2.1.8
<br />2.38 2.58
<br />100° T=43
<br />4450.9
<br />1.3011,74
<br />^_.18 2.62 3.06 3.50 3.9.5 4A014.88 5.37
<br />5.85 6.34
<br />L =,?00 I
<br />.401
<br />.604 .809
<br />3.01 1.23 1.43 1.64 1,85 2.08 2.28 2.50
<br />2.73 .2.96
<br />105° T=.9$ !
<br />.94
<br />1.42 1.90
<br />2,38 2.87 3.34 3.84 4.35 4.84 5.35 5.87
<br />640 6.93
<br />1.=.220
<br />.470
<br />.700 .938
<br />1.17 1.42 1.65 1.00 2.11 2.39 2.61 2.00
<br />3.18 3.41
<br />TABLE I. - Tangents and Externals to a 1° Curve. VII
<br />Chord= 100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />1 g
<br />-Angje
<br />Tangent
<br />E, xternal
<br />Int.
<br />Angle
<br />Tanzwnt
<br />External
<br />106°
<br />7603.5
<br />379Y.0
<br />111°
<br />8336.7
<br />4386.1
<br />• 1161
<br />9169.4
<br />5082.7
<br />10'7626.6
<br />2.G2
<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 />5183.3
<br />30
<br />7672.9
<br />3846.5
<br />30
<br />8415.1
<br />4450.9
<br />30 -`.9259.0
<br />1.90
<br />5158.8
<br />40
<br />7696.3
<br />8865.2
<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 />8494.0
<br />4516.0
<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 />90
<br />9473.2
<br />5341.5
<br />50
<br />7862.1
<br />3998.7
<br />50
<br />8629.3
<br />4623.6
<br />- 50
<br />9504:4
<br />5368.2
<br />108
<br />7886.2
<br />4018.2
<br />113
<br />8056.G
<br />4651.3
<br />118
<br />0535.7
<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 />9598.0
<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
<br />79S3.5
<br />4097.1
<br />40
<br />8767.0
<br />4743.6
<br />40
<br />0662.6
<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 />169
<br />8032:7
<br />4137.1
<br />114
<br />5822.9
<br />4790.4
<br />119
<br />9727,0
<br />5550.4
<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 />S879.3
<br />4837.8
<br />20
<br />0792.0
<br />5615.5
<br />30
<br />8107.3
<br />4197.9
<br />30
<br />8907.7
<br />4851.7
<br />30
<br />9824.6
<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 />8965.0
<br />,4909.9
<br />50
<br />9890.8
<br />5700.0
<br />110_
<br />8182.8
<br />4259.7
<br />116
<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 />4958.0
<br />10
<br />9957.5
<br />6758.6
<br />20
<br />8233.7
<br />4301.4
<br />20
<br />9031.7
<br />498311
<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 />4.364.8
<br />50
<br />9139.8
<br />5057.0
<br />50
<br />10093.0
<br />5376.1
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Int.
<br />Angle
<br />Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />301
<br />351 401
<br />451
<br />501
<br />55`
<br />601
<br />65° 70°
<br />T=,43
<br />.86
<br />1.30
<br />1.74
<br />2.18
<br />2.G2
<br />3.06 3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85 .6.84
<br />100°
<br />E=,200
<br />.401
<br />.004
<br />.809
<br />1.01
<br />1.22
<br />1.43 1.64
<br />1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73 2.90
<br />T=.48
<br />.94
<br />1.42
<br />1.90
<br />2.35
<br />2.8T
<br />3.34 3.84
<br />4.35
<br />4.84
<br />6.35
<br />6.87
<br />0 40 8.93
<br />105°
<br />E=.230
<br />.410
<br />.700
<br />.938
<br />1.17
<br />1.42
<br />1.65 1.90
<br />2.14
<br />2.39
<br />2.64
<br />2.90
<br />3.16 3.41
<br />110°
<br />T=.50
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />3.14
<br />3.06 4.21
<br />4,76
<br />5,87.
<br />5.80
<br />6.43
<br />7.01 7.59
<br />E=.260
<br />.535
<br />.808
<br />1.08
<br />1.36
<br />1.63
<br />1.91 2.19
<br />2.49
<br />2.51
<br />8.05
<br />3.35
<br />3.65 3.95
<br />115°
<br />T=.54
<br />1,13
<br />1.70
<br />2.29
<br />2.86
<br />3.45
<br />4.03 4.63
<br />5.23
<br />5.83
<br />0A4
<br />7.07
<br />7.70 8.85
<br />E=.307
<br />.624
<br />.939
<br />1.26
<br />1.57
<br />1.89
<br />2.21 2,54
<br />12.87
<br />13.20
<br />3.53
<br />3.88
<br />4.23 4.58
<br />_
<br />T=.61
<br />1..25
<br />1.89
<br />2.52
<br />3.16
<br />3.61
<br />4.44 5.11
<br />5.78
<br />6.44
<br />7.11
<br />7.80
<br />8.51 9.21
<br />1201
<br />E=.339
<br />.7201.C8
<br />1.45
<br />1.82
<br />2.26
<br />2-C6 2.95
<br />3.33
<br />3.12
<br />4.10
<br />4.50
<br />4.91 b32
<br />
|