|
TABS L ;Tangents and"Extema1s:t6-a-1' Curve.
<br />Chord =100 f t?
<br />Anglp .
<br />Tangent
<br />Externa]
<br />Int. , -
<br />,Angle
<br />Tangent
<br />External
<br />Int. -
<br />'Angle `
<br />Tangent
<br />External
<br />864,,:'
<br />:5250.3
<br />2041.7
<br />92°
<br />5933.2
<br />2518.5
<br />.99°
<br />'6708.6
<br />3092.7
<br />110'
<br />,-5265.6
<br />2052.1
<br />.101
<br />5950.5
<br />2531.0
<br />10'
<br />G728.4
<br />3107.7
<br />20
<br />x5281:0
<br />2062.5
<br />20
<br />5967.9
<br />2543.5
<br />20
<br />6748.2
<br />3122.9
<br />;r '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 />2 40
<br />6788.1
<br />3153.3
<br />60
<br />'5327:4
<br />2094.1
<br />50,'
<br />6020:2
<br />2581.3
<br />50.
<br />6808.2.
<br />3168.7
<br />SV:?
<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 />i'.'"'.-30
<br />5389.9
<br />2136.7
<br />: 30•
<br />6090.8
<br />2632.6
<br />C. 30
<br />6889.2
<br />3230.8
<br />ti '-40
<br />5405:6
<br />2147.5
<br />w.'40
<br />6108.6
<br />2645.5
<br />40
<br />6909.6
<br />3246.5
<br />.G:50
<br />.5421;4
<br />2158.4
<br />g.:50
<br />6126.4
<br />2658.5
<br />50
<br />6930.1'.
<br />3262.3
<br />;67.?4i
<br />5437'.2
<br />2169.2
<br />94
<br />6144•.3
<br />2671.6
<br />101--
<br />6950.6.
<br />3278.1
<br />0.�:-10
<br />5453:1
<br />2180.2
<br />C.,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 />{.e30,
<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 />,,.,;;b0
<br />:5517.0
<br />2224.3
<br />,,,50:
<br />6234.6
<br />2737.9
<br />50'
<br />7054:5
<br />3358.5
<br />;88.;'1
<br />"5533.1
<br />2235.5
<br />95•':,E
<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 />5535:4
<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 />v.40
<br />5597.8
<br />2280.6
<br />40'
<br />6320:3
<br />2805.6
<br />40
<br />7160.3
<br />3440.9
<br />„ "ao
<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 />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 />b0
<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 />46
<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 />50
<br />7444.6,
<br />3664.5
<br />91 '
<br />5830.5
<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
<br />10'
<br />6610.6
<br />3018.4
<br />10
<br />7489.6
<br />3700.2
<br />E•.: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 />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'
<br />6688.8
<br />3077.7
<br />50,
<br />7580.5
<br />3772.6
<br />I
<br />TABLE I. - Tangents and Externals to a 1° Curve.
<br />_ • _ Chord =100 ft.
<br />Iat.
<br />Angle .
<br />i
<br />Tangent
<br />Corrections to be Added (T. Tangent.- E:=External,) "
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />Int. '
<br />1 Angle
<br />Curie 5°
<br />10° 15° 20° 25° 30' 35° 40° 45° .50° .55°I 60° 65° 70'
<br />_
<br />3791.0
<br />°:
<br />8336.7"
<br />86 1.00 1.33 1,68 2.02 2.36 2.70 3.05 3.40 3.77. 4.14 4.55 4.89
<br />"
<br />116°
<br />.9160.4
<br />5082:7.
<br />.259 .391 .524 .857 .790 :926 1.06 1.20 1,34 1:47 1.62 1.76 1.91
<br />762G..G
<br />90°
<br />10',
<br />72 ' 1:09 1.45. 1,83 Z.ZO, 2.57 2.94 3.33 3:70 4:10. 4.50. 4.91 5.32
<br />2.20
<br />4407..6
<br />95' i ',
<br />.299 ' A50 .603 .756 .910: 1.07 1.22 1.38 1:54 :1':70 1.87 2.03
<br />.79 1.19 3.55. 2.00 2.40 2.80 3.20 3.61 4.02 4.49 4.98 5.38 5• 83
<br />5107.9
<br />-. ^20.'7649.:7
<br />JR
<br />.350 .522 .706 .985 1.06 1:25 1.43 1.62 1.80 1"99 2.18- 2:38 2•5S
<br />20
<br />160°j:
<br />4429.2
<br />'•.86 1.30' 1.74 2.18 2.62 3.06 3.50 3.95 4.40 4.88' 5.37 5.85 2.�8
<br />9229.0
<br />1
<br />'
<br />•'.401 :809 1.01' 1.22 1.43 1.64 1.85 2.06 2.28. 2:50 2.73
<br />los° ;-
<br />.604
<br />.94 1.42 ' 1.90 2.38 2.87 3.34 3.84 4.35' 4.84 5.35 5.87 6.40 '6.93
<br />' ' 2,39 2.00 3.16 3•�
<br />8415.1
<br />-:1:.236'
<br />.470 ' .700 .938 1:17 1.42 1.65 , 1.90 2.14 x'2:64
<br />TABLE I. - Tangents and Externals to a 1° Curve.
<br />_ • _ Chord =100 ft.
<br />Iat.
<br />Angle .
<br />i
<br />Tangent
<br />Exteinal
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />106'':.-
<br />76035-
<br />3791.0
<br />111°
<br />8336.7"
<br />4386.1
<br />116°
<br />.9160.4
<br />5082:7.
<br />10';
<br />762G..G
<br />3809.4
<br />10',
<br />8362.7.
<br />4407..6
<br />101-
<br />9199.1
<br />5107.9
<br />-. ^20.'7649.:7
<br />65°
<br />3827.9
<br />20
<br />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />5133.3
<br />30:..7672.9
<br />.06
<br />3846:5
<br />30
<br />8415.1
<br />4450.9
<br />_ ', 30:
<br />_9259.0
<br />5158,8
<br />7696.3
<br />3865.2'
<br />40
<br />8441.5
<br />4472.7
<br />„ 40
<br />9289.2'
<br />5184,5
<br />b0 .
<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 />,117
<br />" 9349.9•',5236.2
<br />5.35
<br />16'
<br />-7766.8
<br />3921.9'
<br />10..
<br />18521:3'
<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 />-T=.50
<br />3960.1
<br />30
<br />8575.0
<br />4583.4
<br />30
<br />9442.2
<br />5315.0-,
<br />'.40
<br />.7814.3
<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 />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 />4766.9
<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 />5559.41
<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 />8879.3
<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 />1.40
<br />9857.7
<br />5672.3
<br />50•
<br />8157.5
<br />4239.0
<br />.50
<br />8905.0
<br />4909.9
<br />50
<br />9890.8
<br />5760,9
<br />110'
<br />'8182.8
<br />4259:7
<br />115
<br />8993.8
<br />'4934.1
<br />120 '
<br />9924.0-.5729.7
<br />10'
<br />'8208.2
<br />4280.5
<br />10
<br />'0022.7'
<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 />'_ 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 />Corrections to be Added (T =Tangent. E=External.)
<br />Int.
<br />Angle
<br />",Curve 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 />100°
<br />T=.43
<br />.86
<br />1.30
<br />1.74
<br />2.18
<br />.06
<br />3.50
<br />3,95
<br />4.40
<br />4.88
<br />5.37
<br />5.85
<br />6.34
<br />E=.200
<br />.401
<br />.604
<br />.809
<br />1.01
<br />.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 />.34
<br />3.84
<br />4,35
<br />4.84
<br />5.35
<br />5.87
<br />6.40
<br />6.93
<br />E=.230
<br />,470
<br />.700
<br />.938
<br />1.17.65
<br />1.90
<br />2.14
<br />2.39
<br />2.64
<br />2.90
<br />3.16
<br />3,41'
<br />110o ;
<br />-T=.50
<br />1.03
<br />1.55.
<br />2,08
<br />2.60.66
<br />4 21
<br />4.76
<br />5.31
<br />5.86
<br />6.43
<br />7.01
<br />7:59
<br />E=.260
<br />.535
<br />.808
<br />1,08
<br />1.36.91
<br />]2.202.561
<br />2.19
<br />2.49
<br />2.61
<br />3.05
<br />3.35
<br />3.65
<br />3.95
<br />115.
<br />" ,T=.54.
<br />1.13
<br />1.70.
<br />2.29
<br />2.86
<br />.03
<br />4.63
<br />5.23
<br />5.83
<br />6.44
<br />7:07
<br />7.70
<br />8.35
<br />E=.307
<br />.624
<br />.939
<br />1.28
<br />1.57.21
<br />2.54
<br />2.87
<br />3.20
<br />3.53'
<br />3:88
<br />4.23
<br />458
<br />1200:
<br />T=.61'
<br />1,25
<br />.1.89
<br />2.52
<br />3,16
<br />.44
<br />5.11
<br />5.78
<br />6.44
<br />7.11
<br />7.80
<br />8.51
<br />9.21
<br />E=.339
<br />1720
<br />1.08:
<br />1,45
<br />1.82
<br />.58
<br />2.95
<br />3.33
<br />3.72 1
<br />4.10
<br />1 4.50
<br />-4.911
<br />Sm
<br />
|