|
Ti TA141,1 1. - Tangents slid Externals to a 1" Curve:
<br />.Chord= 100 ft.
<br />Angle
<br />tangent"
<br />External
<br />,A gle
<br />Tangent
<br />'External'
<br />Angle
<br />Tangent
<br />External
<br />85'
<br />5250;3
<br />2041.7
<br />92°.
<br />5933.2
<br />25I8,5 .
<br />.89°:
<br />6708:6
<br />3092.7
<br />10'
<br />-.5265.6
<br />2052.1
<br />1V
<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 />7672.,9
<br />2073.0
<br />30
<br />5985.3
<br />2550,0
<br />30'
<br />6768.1
<br />3138.1
<br />-40"
<br />.5296.4
<br />5311.9
<br />2083.5
<br />.40
<br />G002:7
<br />2508.0
<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 />G808.2
<br />3168.7
<br />86''"
<br />5343.0
<br />2104.7
<br />93
<br />6037.8
<br />2594.0
<br />140''"
<br />10828.3
<br />3184.1
<br />_
<br />10
<br />5358.6
<br />2 115.3
<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 />5399.9
<br />2136.7
<br />30
<br />6090.8
<br />2632.6
<br />30:
<br />6889.2
<br />3230.3
<br />••140
<br />5405.6
<br />2117.6
<br />40
<br />0103.6
<br />2645.5
<br />'40
<br />6909.0
<br />3246.5
<br />50
<br />5421,4
<br />2158.4
<br />50"
<br />0126.4
<br />2658.5-
<br />50.
<br />0930.1
<br />3262.3
<br />$7 -
<br />5437;2
<br />2169,2
<br />94":,.
<br />6144.3
<br />2671.-6
<br />101',
<br />0950.6
<br />3273.1
<br />10
<br />'5453.1
<br />2180.2
<br />i 10
<br />G1G2.6
<br />2GS4.7
<br />10
<br />6971.3
<br />3294.1
<br />20
<br />5169:0
<br />2191.1
<br />1. •20,.
<br />6180.2
<br />2097.9
<br />20
<br />6992 r0
<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 />•90
<br />5500.9
<br />2213.2
<br />40'
<br />G216.4
<br />2724.5
<br />', 4Q
<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 />0533.1
<br />2235:5 ,
<br />05 "
<br />G252.8
<br />2751.3
<br />102
<br />7075,5
<br />3374.9
<br />_
<br />10
<br />.5549.2
<br />2246.7+
<br />10'
<br />"20
<br />0271.1
<br />27G4.8
<br />1G,
<br />7006;0
<br />3391.2
<br />20
<br />-5565-4
<br />2258.0
<br />20
<br />0289.4
<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 />` 55978
<br />2280.6
<br />40
<br />6326.3
<br />2805.6
<br />40
<br />,7160.3
<br />-3440.9
<br />`0
<br />5614.2'
<br />2202,0
<br />5U
<br />0344:8
<br />2819.4
<br />S0
<br />7131.7
<br />$457.6
<br />89
<br />8182.8
<br />2303.5
<br />. 96
<br />6363:4
<br />2833.2
<br />103
<br />7203.2
<br />3474.4
<br />10
<br />;'6646..5630.5 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 />2320.0
<br />20
<br />6100.8
<br />.2501.0
<br />20
<br />724G.3
<br />3503.2
<br />30'
<br />5679.9
<br />2338.2
<br />30
<br />6419.5
<br />2875.0
<br />0
<br />72630
<br />3325.2
<br />40
<br />5696.4
<br />2349.8
<br />40'
<br />'6438.4
<br />2889.0
<br />0
<br />7289.8.
<br />_3542.4
<br />`50
<br />'.5713.0'
<br />2361.6
<br />50:
<br />6457.3
<br />2903.1
<br />50
<br />7311.7,
<br />3559.0
<br />SO
<br />5729.7
<br />2373:3
<br />'07•- •
<br />6476.2
<br />2917.3
<br />104'7333.0
<br />3576.8
<br />IO
<br />5746.3
<br />2385:1
<br />10
<br />'6495.2
<br />2931.61
<br />10
<br />7355:6
<br />13594.2
<br />20
<br />5763.1:
<br />2397.0
<br />20
<br />mG514.3
<br />2945.3
<br />720
<br />7377.8
<br />•3611.7
<br />30
<br />2408.9
<br />30
<br />6533.4
<br />2960.3
<br />30
<br />7399.9
<br />3629.2
<br />40
<br />.5779.9,
<br />5796.7
<br />2420.9
<br />90
<br />.6552:8
<br />2974.7
<br />40
<br />7422.2
<br />304G.3
<br />50
<br />5813.6
<br />2432.9
<br />50
<br />•6571.9
<br />2989.2
<br />50
<br />7444.6
<br />3064.5
<br />0 -
<br />5830.5
<br />2444.9
<br />98;
<br />6591:2
<br />3003.81
<br />J05.
<br />740,00
<br />3682.3
<br />10
<br />5847.5
<br />2457.1
<br />10
<br />'6610.6
<br />3018.4.
<br />10
<br />•7480,6
<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 />3T1S.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 />GG69.2
<br />3062.8
<br />40
<br />7557.7.
<br />:3T54.4
<br />50
<br />5916.0
<br />2506.1
<br />50 1
<br />6G88.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.6
<br />4.84 15.35
<br />2.39 12.64
<br />TABLE I. - Tangents and Externals to a 1° Curve. VII .
<br />Chord =100 f t: -
<br />Int.
<br />Angle,
<br />Corrections to be Added .(.T=Tangent. E.=External.)
<br />External
<br />Int.10°1
<br />Curve 5" 15°
<br />20° ?5° 30° 35° 40° 459 50° 55°
<br />60° 65°
<br />70°
<br />Angle
<br />100° ,.
<br />7603.5
<br />3791.0.
<br />111°
<br />8336.7
<br />T= 33 1.391
<br />1
<br />;.&i7 2.10 2.926
<br />4:55
<br />5082.7
<br />85°
<br />E='.128 ' ,359
<br />524 1.00 1.20 1.34 1.47
<br />1.G2 1.76
<br />14.89
<br />L.91
<br />4407.6
<br />72.
<br />2.20 12.57 194
<br />1,8b8 11.22 II
<br />50 14.91
<br />j 5.32
<br />90°
<br />�_'3So _2991.4501803
<br />910 1.07 38 1.54 1.70
<br />1.87 12.03
<br />12.20
<br />4.84 15.35
<br />2.39 12.64
<br />TABLE I. - Tangents and Externals to a 1° Curve. VII .
<br />Chord =100 f t: -
<br />Int.
<br />Angle,
<br />Tangent
<br />External
<br />Yat.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />.Tangent
<br />External
<br />100° ,.
<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 />]0'
<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 />7696,8
<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 />111
<br />0349.9
<br />5236.2
<br />10.
<br />.7766.8
<br />'3021.9
<br />10
<br />8521.3
<br />4538.8
<br />10
<br />9380.5
<br />5262.3
<br />20'
<br />.7790.5
<br />3910A
<br />20
<br />8548.1
<br />4561.1
<br />20
<br />•:0411.3
<br />5288.6
<br />30'
<br />T814:3
<br />3960-130
<br />•40
<br />8575.0,
<br />4583.4
<br />'30"
<br />9442.2.
<br />5315.0
<br />.40'
<br />7838.1
<br />3979:4
<br />1.82 2.20
<br />-8602.1
<br />4606.0
<br />40
<br />- 9473.2'
<br />'5341.5
<br />50,
<br />.7862.1
<br />3908.7
<br />5G
<br />8629.3
<br />4628.6
<br />50 -
<br />-9504.4'•-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 />20
<br />9598.9
<br />5449.2
<br />30
<br />7950.0'
<br />4077.2'
<br />30
<br />8739.2
<br />4720.3
<br />30,9630.7''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 />'SOOS.O
<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 />111
<br />S822.9
<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 />6587.4
<br />20
<br />8082.3
<br />4177.5
<br />20
<br />8879.3
<br />4837.8
<br />20
<br />9792.0
<br />5015:5
<br />30,
<br />8107.3
<br />4197.0
<br />30
<br />S907.7'-4861.7
<br />r30
<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 />'0857.7
<br />,5672.1-
<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 />115
<br />8993.8
<br />4934.1
<br />.1%
<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 />5758.6
<br />20
<br />8233.7
<br />4301.4
<br />20
<br />9051.7
<br />498321
<br />20
<br />9991.0
<br />5787.7
<br />30.
<br />8259.3
<br />.4322,4'
<br />30
<br />.4080.9
<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 />S310.8,
<br />4364.8
<br />50
<br />0133:8
<br />5057.6
<br />•50
<br />10093.0
<br />5876.1
<br />Corrections to he Added (T = Tangent. E=External.)
<br />Angle Curve 5° 10°
<br />Ang
<br />15° 20°
<br />25° 30°-
<br />35°
<br />40°
<br />45°
<br />50°
<br />55'
<br />60°
<br />b5° 70'
<br />100° •T=.43 .86
<br />1.30 1.74
<br />2.18 2.62
<br />3.06
<br />3.50
<br />8.95
<br />4.40
<br />4.88
<br />6.37
<br />5.86 ,8.34 ,
<br />E =.200 .401
<br />.604 .809
<br />P.O1 1.22
<br />1.43
<br />1.64
<br />1.85
<br />2.06
<br />2.2$
<br />2.50
<br />2.73 2.96
<br />105° T=.46 .94
<br />1.42 1.90
<br />2.38 2.87
<br />3.34
<br />3.84
<br />4.35
<br />4.84
<br />6.35
<br />5.87
<br />8.40 6.93
<br />E =.230 .470
<br />.700 .938
<br />1.17 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
<br />1.55 2.08
<br />2.60 3.14
<br />8.88
<br />4.21
<br />4.76
<br />5.31
<br />5.88
<br />6.43
<br />7.01 7.50
<br />E =.200 .535
<br />.808 1.08
<br />1.36 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
<br />1.70 9
<br />2.86 3.45
<br />4.03.4.63
<br />b.23
<br />5.83
<br />8.44
<br />7.07
<br />7.70 8.85
<br />E=.307 .824
<br />.9386
<br />1.57 1.89
<br />2.24
<br />254
<br />2.87
<br />3.20
<br />8.63
<br />.3.88
<br />4.23 4.68
<br />120° T=.61 1.25
<br />1.89 25
<br />L21
<br />3.16 3.81
<br />4.44
<br />5.11
<br />5.78
<br />8.44
<br />7.11
<br />7.60
<br />SAL 0.21
<br />E 4;339 .720
<br />1.08 5
<br />1.82 2.20
<br />2.16
<br />2.95
<br />333
<br />3.'r2
<br />4.10
<br />4.50
<br />4.81 .5 3Z
<br />
|