|
VI . TABLE I. - Tangents.and Externals to a V -Curve.
<br />Chard -100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />g
<br />Extenial
<br />Int.
<br />Angle
<br />TanS exit
<br />.,
<br />external
<br />In
<br />Angle
<br />Tan ent
<br />6
<br />rxternal
<br />85°
<br />5250.3
<br />2041.7
<br />921.
<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 />528 L.0
<br />2062.5
<br />20
<br />5967.9
<br />2543.5
<br />20
<br />6748.2
<br />3122.9
<br />30
<br />529 G.4
<br />2073.0
<br />30'
<br />39S5.3'
<br />255G.0
<br />30
<br />.67618,1
<br />3139.1
<br />40
<br />5311,9
<br />2083.5
<br />40'
<br />6002.7
<br />2568.6
<br />40
<br />6788.1
<br />2153.3
<br />50
<br />5327:4
<br />2094.1
<br />50
<br />G020:2
<br />2581.3
<br />50
<br />6808.2
<br />3169.7
<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 />3190.6
<br />20
<br />537-1.2
<br />2126.0
<br />20
<br />6073.1
<br />2610.7
<br />20
<br />6868.8
<br />3215.1
<br />30
<br />.5389.9
<br />2136.7
<br />30
<br />6090.8
<br />2632.0
<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 />59
<br />5421,4
<br />2158.4
<br />50
<br />6120.4
<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 />tG162.6
<br />2684.7
<br />10
<br />6971.3
<br />3294.1
<br />20
<br />'5169.0
<br />2191.1
<br />20
<br />'G1.30.2
<br />2697.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5184.9
<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 />6210.4
<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 />2235.5
<br />95
<br />6252.8
<br />2751.3
<br />102
<br />7075.5
<br />3374.9
<br />10
<br />5349.2
<br />2240.7
<br />d0
<br />6271.1
<br />2764.8
<br />10
<br />70961.6
<br />339.1.2
<br />20
<br />5565.4
<br />2258.0
<br />20
<br />6280.4
<br />2778.3
<br />20
<br />7117.8
<br />3407.7
<br />30
<br />'5581.6
<br />2269.3
<br />/30
<br />6307.0
<br />2792.0
<br />30
<br />7139.0
<br />3424.3
<br />40
<br />5597.8
<br />2280.0
<br />40
<br />632G.3
<br />2805.6
<br />40
<br />7160.3
<br />3440.9
<br />50
<br />5614.2
<br />2292,0
<br />SO
<br />6344.8
<br />28LQ.4
<br />50
<br />7181.7
<br />3457.6
<br />lie
<br />8182,8
<br />4259.7
<br />115
<br />8993.6
<br />4934.1
<br />120
<br />9924.0
<br />5729.7
<br />89
<br />5630.5
<br />2303.5
<br />96
<br />636314
<br />2833.,2
<br />103
<br />7203.2
<br />3474.4
<br />10
<br />5646:9
<br />2315.0
<br />10
<br />G332,1
<br />2847.0
<br />10
<br />7224.7
<br />3491.3
<br />20
<br />5uG3.4
<br />2326.0
<br />20
<br />6100.8
<br />23G1,0
<br />20
<br />7246.3
<br />3503.2
<br />30
<br />.5679.9'-
<br />2338.2
<br />30
<br />6419.5
<br />2875.0
<br />30...7208.0
<br />10059.0
<br />3525.2
<br />40
<br />569G.4
<br />2349.6
<br />40
<br />G438.4
<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.G
<br />3576.8
<br />10
<br />'5746.3
<br />2385:1
<br />10
<br />6195.2
<br />2931.6
<br />10
<br />7355.6
<br />3504.2
<br />20
<br />5763.1
<br />2397.0
<br />20
<br />6514.3
<br />2945.9
<br />20
<br />7377.8
<br />3011.7
<br />'30
<br />5779.9
<br />2408.9
<br />30
<br />6533.4
<br />2960.3
<br />30
<br />7399.9
<br />3029.2
<br />40
<br />5796.7
<br />2420.0
<br />40
<br />6552.6
<br />2974.7
<br />40
<br />7422.2
<br />3046.8
<br />50
<br />5813.6
<br />2432,0
<br />5O
<br />6571.9
<br />2989.2
<br />50
<br />7444.6
<br />-3064.5
<br />91
<br />5820.5
<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 />-2457.1-1
<br />10
<br />6610,6
<br />3018.4
<br />10
<br />7489.6
<br />3700.2
<br />20
<br />5864.6
<br />2469.3 1
<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 />G6fi9.2
<br />3062.8
<br />40
<br />7537.7
<br />3754,4
<br />50
<br />5916.0
<br />2506.1
<br />50
<br />GGSS.8
<br />3077.7
<br />50
<br />7580.•1
<br />3772.6
<br />v
<br />Corrections to be Added (T =Tangent. E. =External.)
<br />Int.
<br />Angie
<br />(terve 5°
<br />10°
<br />'15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />-70°
<br />85°
<br />T=.33
<br />.66
<br />1.00
<br />1:33
<br />[.68
<br />2.02
<br />2.30
<br />2.70
<br />3.05
<br />3.40
<br />3.77
<br />4.14
<br />4.55
<br />4.89
<br />20
<br />1-.128
<br />.259
<br />,391
<br />,524
<br />..657
<br />.790
<br />,926
<br />1.06
<br />L20
<br />L34
<br />I.47
<br />1.62
<br />1.76
<br />1
<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 />.755
<br />.010
<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.BQ
<br />3.20
<br />1I3.61
<br />4.02
<br />4.48
<br />4.98
<br />5.38
<br />5,83
<br />30
<br />E =.174
<br />350
<br />.822
<br />..706
<br />.985
<br />1.00
<br />1.25
<br />1.43
<br />1 1.fi2
<br />180
<br />1.98
<br />2.18
<br />2.38
<br />2.58
<br />190°
<br />T=.43
<br />.85
<br />1.30
<br />1.74
<br />2:18
<br />2.62
<br />3.06
<br />3.50
<br />3 +35
<br />4.40
<br />4.88
<br />5.37
<br />5.85
<br />6.34
<br />113
<br />C T.2C0
<br />.401
<br />.606
<br />,809
<br />1.01
<br />1.23
<br />1.43
<br />1.64
<br />L85
<br />2.08
<br />2.28
<br />2.50
<br />2.73
<br />2.06
<br />IDS,
<br />T,46
<br />94
<br />1.42-
<br />190
<br />2.38 .2.87
<br />20
<br />3.34
<br />3.94
<br />4.35
<br />4.84
<br />5.35
<br />5,87
<br />0:40
<br />6.93
<br />30
<br />E=230
<br />,470
<br />.700
<br />.938
<br />1.,7
<br />142
<br />1.65
<br />1 C0
<br />2.11
<br />2.39
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />TA13LF: I. - Tangents and Externals to a 1' Curve. VII
<br />Chord =100 ft.
<br />Int:
<br />Angle
<br />Tangent
<br />External
<br />Snt.
<br />Angle
<br />Tangent
<br />External
<br />Int,
<br />Angle -
<br />•Tarig"t
<br />External
<br />106°
<br />7603.5
<br />3791.0
<br />111°
<br />8336.7
<br />4386.1
<br />110° .
<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 />7640.7
<br />3327.9
<br />20
<br />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />5133.3
<br />30
<br />7072.9
<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 />3002.9
<br />112
<br />S494.6
<br />.4516,6
<br />117
<br />0340.9
<br />5230.2
<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 />3940.0
<br />20
<br />8548.1
<br />4561.1
<br />20
<br />0411.3
<br />5288.6
<br />30
<br />7814.3
<br />8060.1
<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 />0473.2
<br />5341.5
<br />50
<br />7802.1
<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.G
<br />4651.3
<br />118
<br />9535:7
<br />5395.1
<br />10
<br />7910.4
<br />4037.8
<br />to
<br />8684.0
<br />4674.2
<br />10
<br />9567.2
<br />5422.1 -
<br />20
<br />7934,0
<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 />8739.2
<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 />4766.0
<br />50
<br />9694.7
<br />5531.7
<br />199
<br />,8032.7
<br />4137.1
<br />114
<br />8822.9
<br />4790.4
<br />118 •
<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 />SOS2.3
<br />4177,5
<br />20
<br />8879.3
<br />4537.8
<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.
<br />50
<br />8157.5
<br />4239,0
<br />50
<br />8965.0
<br />4909.9
<br />50
<br />9390.8
<br />5700.9
<br />lie
<br />8182,8
<br />4259.7
<br />115
<br />8993.6
<br />4934.1
<br />120
<br />9924.0
<br />5729.7
<br />10
<br />8208.2
<br />10
<br />9022.7
<br />,4958.6
<br />10 `
<br />9957.5
<br />5758.6
<br />20
<br />8233.7
<br />,4250.5
<br />4301.4
<br />20
<br />9051.7
<br />498311
<br />20
<br />9981.0
<br />5787.7
<br />30
<br />8259.3
<br />4322.4
<br />30
<br />9080.9
<br />5007.8
<br />30 ,10025.0
<br />5817.0
<br />40
<br />8285.0
<br />4343.6
<br />40 -
<br />9110.3
<br />5032.G
<br />40
<br />10059.0
<br />5846.5
<br />50
<br />8310.8
<br />4364.8
<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 />IntAngie .Curve 5°
<br />10°
<br />lS°
<br />20°
<br />25° 30°
<br />°
<br />35° 4943
<br />45°
<br />50° 55° 60°
<br />65° 70°
<br />.86
<br />1.604
<br />1809
<br />310
<br />2.96
<br />100° E =.200
<br />.401
<br />1,01 1 22
<br />1.43 1.64
<br />1.85
<br />2.06 2.28 2,60
<br />2.73
<br />T=.48
<br />84
<br />1.42
<br />190
<br />2.382.87
<br />8.84 3.84
<br />4.35
<br />14.84 5.35 5.87
<br />8.40 0.93
<br />105°
<br />E =,230
<br />.470
<br />.700
<br />,938
<br />1.17 1.42
<br />1.65 1.90
<br />2.14
<br />12.30 2.64 2.90
<br />3.16 3.41
<br />T=,50
<br />1.00
<br />3.55
<br />2.08
<br />2.60 3.14
<br />3.66 4.21
<br />4.70
<br />5.31 5.86 6,43
<br />7.0I 7.50
<br />110°
<br />E=.260
<br />.535
<br />,808
<br />1.08
<br />1,38 1,63
<br />1.91 2.19
<br />2.49
<br />2.61 3.05 3.35
<br />3.65 3.95
<br />T=,54
<br />1.13
<br />1.70
<br />2.29
<br />2.86 3.45
<br />4.03 4.83
<br />5.2 3
<br />5.83 8.44 7.07
<br />7,70 8,36
<br />115°-
<br />E=.307
<br />.524
<br />.939
<br />1.26
<br />1.57 1.89
<br />2.21 2.54
<br />2.87
<br />3.20 3.53 3.88
<br />4.23 4.58
<br />T=.BL
<br />1.25
<br />1.89
<br />2.52
<br />3.16 3.81
<br />4.44 5.11
<br />5.78
<br />6.44 7.11 7.80
<br />8.51 9.21
<br />1201 E=.339
<br />.720
<br />11.03
<br />lA5
<br />1.82 2.20
<br />2160 2.05
<br />3.33
<br />3.72 4.10 4.50
<br />4,91 5.39
<br />011
<br />
|