|
VI TABLE °I. = Tangents and Externals to' a.1* Curve:,
<br />Chord=100 ft.
<br />. -Int, -.
<br />Angle
<br />Tangent
<br />External
<br />Int:
<br />Angle'
<br />Tangent'
<br />:External
<br />r Int.
<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 />5290.4
<br />2073.0
<br />30
<br />5985.3
<br />2556.0
<br />30
<br />6768.1
<br />3138.1
<br />1 '40
<br />5311.9
<br />20S3.5
<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 />' 6303'.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 />201
<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 />6859:2
<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 />'40,
<br />6421.4
<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 />'6114:3
<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 />a .10`
<br />6971.3
<br />3294.1
<br />"20
<br />5169.0
<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 />2235-5
<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 />0271.1
<br />2764.8
<br />.16
<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 />.6326.3
<br />2805.6
<br />_ `40.
<br />7160.3
<br />3440.9
<br />:50•
<br />5614.2
<br />2292.0
<br />150--
<br />6344.8
<br />.2819.4
<br />;50;
<br />7131.7
<br />3457.6
<br />89 ''r
<br />5630:5
<br />23031:5
<br />96
<br />6363.4
<br />2833:2
<br />103r,•
<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 />6100.8
<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 />5690:4
<br />2349.8
<br />r40
<br />6438.4
<br />2889.0
<br />:40
<br />7289:8
<br />5846.5
<br />50
<br />5713.0
<br />2361.5
<br />;50..
<br />6457.3
<br />2903.1
<br />` r '.50
<br />7311:7'
<br />_3542:4
<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 />.
<br />10
<br />5740:3
<br />2385.1
<br />10:
<br />6495;2
<br />'2931.G
<br />10
<br />7355.6
<br />3594.2
<br />3611.7
<br />20
<br />-',30
<br />5763:1
<br />2397.0
<br />2408.9
<br />20
<br />30
<br />6514:3
<br />6533:4
<br />2945.9
<br />2960.3
<br />20:
<br />:•30.
<br />•7377.8
<br />7399.9
<br />3629.2
<br />40;
<br />."57799
<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 />X50
<br />.7444.6
<br />3664.5
<br />5830:5
<br />244499
<br />98'x•-
<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 />• 1 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 />6649.6
<br />3047.0
<br />30:
<br />7534.9
<br />3736.2
<br />40,
<br />5893:8
<br />2493:8
<br />.'.30,
<br />-40'
<br />6669.2
<br />3062.8
<br />:.40i
<br />7557.7
<br />3754.4
<br />50
<br />5916.0
<br />2506.1
<br />.:50.
<br />6638.8
<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 />10°
<br />15° 20 °
<br />25°
<br />30°
<br />35° 40°
<br />45° . 50°
<br />' 55°, 60° 65°
<br />70°
<br />S5° T=.33
<br />66
<br />1.00 1.33
<br />1.68
<br />2.02
<br />2.36 2.70
<br />3.05 3.40
<br />'3.77 4.14 4.55
<br />4.89
<br />E=.128
<br />259
<br />.391 .524
<br />.657
<br />.790
<br />.926 1.06
<br />1.20 1.34
<br />1:47 1:62 1.76
<br />1.91
<br />T=.36
<br />.72
<br />1.09 1.45
<br />1.83
<br />2.20
<br />2.57 2.94
<br />3.32 3.70
<br />4.10 4.50.. 4.91
<br />5.32
<br />E='.149
<br />-':7672.9'
<br />.450 ,.603
<br />•.756
<br />.910
<br />1:07 122:
<br />1.38 1.54:
<br />1.70 1.87,. 2.03
<br />2.20
<br />_
<br />95°. T=:39
<br />.299
<br />.79
<br />1.19 1.55
<br />2.00
<br />2.40
<br />2.80 3.20
<br />3.61 •4.02
<br />4.49, 4.98 5.38
<br />5.83
<br />E=.174-
<br />.350
<br />.522 .706
<br />.985
<br />1.08
<br />1.25' 1.43.
<br />1.62 1.80;
<br />1.99 2:•18 2.38
<br />2.58
<br />467'
<br />7743.2
<br />39029
<br />112
<br />8494.6
<br />4516.6.-•117
<br />3.95 4.40
<br />4.888.34
<br />5236.2
<br />100° T=.43'
<br />E=.200
<br />.86
<br />1.30 1.74
<br />.604 .809
<br />2.18
<br />1.01
<br />2.62
<br />1.22
<br />3.06 3.50
<br />4.43 1.64.
<br />1.85 .2.06
<br />2.28 2:50 2.73
<br />2.96
<br />105° I T=.46
<br />..401
<br />.94
<br />1.42 1.90
<br />2.38
<br />2.87
<br />3.34 3.84
<br />1.90-
<br />4.35 ,4.$4
<br />2:14 2.39
<br />5.35 '5.87 6.40
<br />2.64' 2.90 3.16
<br />6.93
<br />3.41
<br />t E =230
<br />.470
<br />..700 .938
<br />1.17
<br />1.42
<br />1.65
<br />30
<br />9442.2.
<br />5315.0
<br />i
<br />r
<br />TABLE I. - Tangents and Externals to a 1° Curve. 'VII
<br />Chord =-100 ft -
<br />Int.
<br />Angle
<br />Tangent
<br />Exte`rual
<br />Int.
<br />"Angle=•
<br />Tangent
<br />_
<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 />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 />8388.9s
<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;9i
<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 />t
<br />.4494.6
<br />50
<br />9319.5.
<br />5210.3
<br />467'
<br />7743.2
<br />39029
<br />112
<br />8494.6
<br />4516.6.-•117
<br />2.14
<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 />0380.5
<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 />I814.3
<br />3960:1
<br />30,
<br />8575'.0'.4583:4.
<br />3.65 3.95
<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 />,
<br />'50
<br />9504.4
<br />536S.2
<br />408 :
<br />,7886.2
<br />4018:2
<br />r
<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 />' 7959.0
<br />,4077.2
<br />t 130
<br />8739. 2,r
<br />4720.3
<br />30
<br />,
<br />0630.7
<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 />'5008.0
<br />4117:0;
<br />50
<br />8794,.9
<br />14766.9:
<br />50 '
<br />9694.7
<br />5531.7
<br />169` ,
<br />8032.7..
<br />4137:1.'114
<br />8822.9
<br />'A790.4
<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 />'808243
<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 />8007.7
<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 />50
<br />5965.0
<br />'4909.0
<br />50
<br />9390.8
<br />5700.0
<br />110.' `
<br />8182.8
<br />4259.7'
<br />115
<br />8993.3
<br />34934.1
<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 />_
<br />.20
<br />905117
<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 />-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 />'4364.8
<br />50
<br />9139.8
<br />5057:6
<br />50
<br />10093.0
<br />5876:1
<br />1 Corrections to be Added (T Tangent. E=External.)
<br />Int Curve 5° .0--
<br />Angle
<br />159
<br />20°
<br />25°
<br />309
<br />35°
<br />40°
<br />45°
<br />50° 55° 60°
<br />65° 70°
<br />100°
<br />T=•43
<br />.86
<br />1.30
<br />1.74'
<br />2.18
<br />2.62
<br />3.08
<br />3.50
<br />3.95
<br />4.40 4.88 5.37
<br />5.85 6.34
<br />E =.200
<br />.401
<br />.604
<br />.809
<br />1.01
<br />1.22.,1.43'
<br />1.64
<br />1.85
<br />2.06 2.28 2.50
<br />2.73 2.96
<br />105..°
<br />T=.46
<br />.94
<br />1.42
<br />1.90
<br />2.38
<br />2.87
<br />3.34
<br />3.84
<br />4.35
<br />4.84 5.35 5.87
<br />6.40 6.93
<br />E=.230
<br />:470
<br />.700
<br />.938
<br />1.17
<br />1.42
<br />1.65
<br />1.90
<br />2.14
<br />2.39 2.64 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 />3.66
<br />4.21
<br />4.76
<br />5.31 5.88 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
<br />2.19
<br />2.49
<br />2.61 3.05 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
<br />4.63
<br />5.23
<br />5.83 6.44 7.07
<br />7.70 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 3.53 3.88
<br />4.23 4.58
<br />1206 •
<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 7.11 7.80
<br />8.51 9.21
<br />E=.339
<br />.720
<br />1.08
<br />1:45
<br />1.82
<br />2.20
<br />2.b6
<br />2.95
<br />3.33
<br />3.72 4.10 4.50
<br />4.91 5.32
<br />
|