|
VY TABr.»;I. = Taugents'and-Externals•to a 1° Curve:
<br />Chord =100 ,f%
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />. 'ogle, ,
<br />Tangent
<br />External
<br />Int.
<br />' -Wigle''
<br />Tangent
<br />Eaternal
<br />ppy�oo5250.3
<br />95or , T= .39 '• :79' 1.19 1.55 2.00 2.40. 2.80 3.20 3.61' 4.02: 4.49:
<br />2D41,.-7:
<br />Or L
<br />.5933:2
<br />' 2518:5
<br />99°'.''
<br />6708:8
<br />3092.7
<br />!'lWc
<br />5265_.6
<br />' 2052.1
<br />' :101
<br />15950.5
<br />2531.0
<br />•.101.
<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 />6748:2.3122.9
<br />5138.3
<br />30-
<br />5296 4
<br />, 2073.0
<br />.30
<br />5985.3
<br />2556.0
<br />W.
<br />6768:1
<br />3138.1
<br />40
<br />.5311:9
<br />2083.5
<br />.'40
<br />;6002:7
<br />12568.6
<br />40'
<br />6788:1
<br />3158.3
<br />150*
<br />; 5327:4
<br />2094.1
<br />b0
<br />.6020:2
<br />:2581.3
<br />.••60
<br />; 6808.2
<br />3168.7
<br />80 _
<br />5343.0
<br />` 2104:7
<br />93:1
<br />',6037-.'8
<br />'2594-b
<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 />'4561.1:'
<br />•`20'
<br />` 6868:8.
<br />3215.1
<br />•30
<br />5389.9
<br />2136.7
<br />`: 30:
<br />'6090.8
<br />,2619.7
<br />2632.6
<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 />50`
<br />:5421.4
<br />2158.4
<br />" 150
<br />6126.4
<br />12658.5
<br />-,50
<br />6930.1
<br />3262.3
<br />108 '
<br />i
<br />4018:2
<br />113
<br />8656.6
<br />4651:3
<br />118
<br />9535:7_
<br />5395.1
<br />87'- '
<br />5437.2
<br />2169.2
<br />94 -
<br />6144.3
<br />' 2671.6`
<br />.1101:'
<br />' 6950:6
<br />3278-.1
<br />10-
<br />' 5453.1'
<br />2180.2
<br />: .. •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 />• 8180.2-
<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 />j 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 />r
<br />t 7031.`6
<br />3342.3
<br />* 50'
<br />i 5517:0
<br />i 2224.3
<br />'' 'b0 `
<br />:6234.6
<br />2737.9
<br />• 50
<br />7054:5
<br />3358.5
<br />JO -',8057:4.
<br />5533.1
<br />' 2235:5
<br />'95 ':''
<br />8252:8
<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 />55u5.4
<br />2258.0
<br />20 -
<br />'6289:'4
<br />2778.3
<br />': 20;
<br />7117:8
<br />3407.7
<br />`•`•30
<br />'5531,6
<br />2269.3
<br />'30
<br />6307.9
<br />.2792.0
<br />t - •30
<br />° 7139.0
<br />3424.3
<br />40
<br />5597:8
<br />;2280.6
<br />',_40
<br />.6323.3
<br />;2805.6
<br />t 40;
<br />: 7160.3
<br />3440.9
<br />"SO
<br />: 5614:2
<br />• 2292.0
<br />•• . SO_
<br />6344'.8
<br />' 2819.4
<br />b0
<br />' 7181:7
<br />3457.8
<br />89,'='
<br />. 5630.5
<br />.' 2303.5•
<br />' 96 ` -
<br />'6363 ;4'
<br />i 2833:2`
<br />103; "-
<br />7203.2
<br />3474.4
<br />10
<br />5646:9
<br />'2315.0
<br />.10
<br />6382x1
<br />2847.0
<br />IO_
<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 />,
<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 />15713.0
<br />2361.5
<br />•b0 '
<br />'6457:3''2903.1.
<br />- -50:
<br />7311:7
<br />3559.0
<br />90:"
<br />5729;7
<br />2373.3
<br />'97.
<br />.6476.2
<br />2917.3'
<br />x104': ;
<br />'7333:6
<br />3576.8
<br />- 10-
<br />'5746:3
<br />2385.1
<br />10 -
<br />'6495.2
<br />2931.6
<br />s '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 />'405796:7
<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 />i
<br />7444.6
<br />3864.8
<br />01', '`•
<br />,5830.5
<br />'2444:9
<br />98 7659V.2
<br />'3003.8
<br />'105: ::
<br />:7467.0
<br />3682:3
<br />10'
<br />' 5847.5
<br />2457.1
<br />10
<br />661016
<br />3018.4
<br />10.
<br />7489:6
<br />3700.2
<br />X20"
<br />5564.6
<br />' 2469.3
<br />20':
<br />663011
<br />3033.1
<br />20
<br />'7512.2
<br />3718.2
<br />130'
<br />; 5881.7
<br />. 2481.5
<br />..'30 '
<br />16649.6
<br />.3041.9
<br />', '30'
<br />7534.9
<br />3736.2
<br />=•'40:
<br />,5598:8
<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 />Corrections to be Added (T = Tangent. -E.-External.
<br />Int' Carve 5°- 10° '15° 20° 25° 30°: 35° 40° 45° 50° 'S5°
<br />Angle•
<br />6' 65° 70°
<br />85°; T=•33 ':66 1.00 1.33. 1,68. 2.02 2.36 2.7113 3.40 3.77
<br />4.14 .4.55' 4:89`
<br />-E=:128 i .259 .391 .524 .657 ..790 .926 1,06 1,20' 1,34 .1.47,
<br />1.62 1.76 1.91
<br />90°;• '.T=.36: .72. 1.09-11.45: 1.83' 2.20 2.57r 2.94 3.32 3.70 4.10:
<br />4.50 4.91 5:32"
<br />E=:149 .299 _:450 ..603 .756 .010'11.07: 1.22, 1.38 '1:54: 1.70:
<br />1.87 2.03 2.20
<br />95or , T= .39 '• :79' 1.19 1.55 2.00 2.40. 2.80 3.20 3.61' 4.02: 4.49:
<br />4,98 5:38' 5:83'
<br />E =.174 -.3501%.5221 .706 .98511.06' 1.25 1.43 1.62 -1.80 1.99:
<br />'.
<br />2.18 2:38 2.58
<br />T=.43 - ,.861:30 1.74 218' 2.62, 3:06: 3.50 A5. 4.40: 4.881
<br />5,37 .5,85- -6.34'
<br />01 ,.604 .809 1.01 1.22 1.43' 1.64 1.65' 2.06. 2.28
<br />2.50 2.73 2:96
<br />T,=:46 • i .94 1.42 1.90' 2.38: 2:87, 3.34' 3.84 4.35 4.84 5.35.
<br />5.87 6.40 '6.93
<br />E=.230 :470 .700 .938 1.17 1.42; 1.85, 1.90 2.14' 2:39. 2.84'
<br />2.90 3.16, 3.41
<br />TABLE I. - Tangents and Externals to a 1° Curve. Yn
<br />Ch6rd=100 ft. `
<br />Angie.
<br />Tangent
<br />External
<br />..Angle.:
<br />Tangent
<br />External
<br />Int
<br />'Angle'
<br />Tangent
<br />External
<br />108°..:•
<br />7663.6:
<br />%3.791.0
<br />111°
<br />8336.7
<br />:4386.1
<br />116°
<br />9169.4'
<br />5082:7
<br />10!
<br />3809:4
<br />.
<br />10'
<br />8362.7
<br />4407.6.
<br />10,
<br />9199.1
<br />5107.9
<br />201,
<br />.7626.6
<br />7649.7
<br />3827.9
<br />20'
<br />8388.9.
<br />4429.2
<br />20
<br />9229.0
<br />5138.3
<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 />46
<br />7696:3'
<br />3865,2
<br />40
<br />8441.5
<br />4472.7
<br />40
<br />9289.2.
<br />5184,5
<br />pO '•.7719:7.
<br />2.06
<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 />'93.49'.9
<br />•5236.2
<br />to • "
<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 />.5316.0
<br />40.
<br />7838.1
<br />3979.4.
<br />x;40
<br />S602.I`
<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 />4628:8:
<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..7910.4
<br />5.23
<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 />1 20
<br />8711.5.
<br />4697:2
<br />.20
<br />9598.9
<br />5449.2
<br />30:.:7959.0
<br />-3.88
<br />4077.2
<br />•, 30
<br />8739:2.
<br />•4720:3 :
<br />•30-.
<br />9630.7
<br />5476.5
<br />40-,
<br />3.81
<br />•4097,:1
<br />,'••40..
<br />8767.0.
<br />4743.6:
<br />..40-
<br />9662.6:
<br />5504.0
<br />50
<br />.7983.5
<br />.8008.0
<br />4117.0
<br />50
<br />.8794:9
<br />4766.9
<br />50"
<br />9694'.7
<br />5531.7
<br />100••
<br />:8032.7=
<br />4137.1
<br />114
<br />8822.9'
<br />4790.4
<br />119 -
<br />9727.0
<br />5559.4
<br />JO -',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 />8132.3
<br />4218.4
<br />40
<br />8936.3
<br />4885.7
<br />.40
<br />9857.7,
<br />5672.3
<br />.40
<br />.50._'
<br />8157.5
<br />4239.0
<br />50
<br />8965.0'
<br />4909.9
<br />50
<br />9890.8
<br />5700.9
<br />110
<br />8182.8-
<br />4259.7,
<br />115:
<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 />4958.6
<br />10
<br />9957.5
<br />5758.6
<br />:20.
<br />4301.4
<br />20
<br />9051.7
<br />4983.1
<br />20-
<br />9991.0,
<br />5787.7
<br />30
<br />.8233.7
<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 />10959.0
<br />5846.5
<br />60
<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 />.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 />Angle
<br />.
<br />1.30
<br />1.74
<br />2.18
<br />2.G2
<br />3.06
<br />3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85
<br />8:34
<br />100°'
<br />;'T=.43
<br />E =.200
<br />.86
<br />.401
<br />' .604
<br />.80911.011
<br />1.22
<br />1.43'
<br />1.64
<br />1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73
<br />2.98
<br />1.700
<br />1.938
<br />105'.-
<br />- E =.230.
<br />470
<br />.42
<br />1.17
<br />1.42
<br />1.65
<br />1.90
<br />2.14
<br />2.39:
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />T=.50
<br />1.03
<br />1.55
<br />2.08 2.60
<br />3.14
<br />3.66
<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
<br />1.63
<br />4.91:
<br />2.19
<br />2.49
<br />2.61
<br />3.05
<br />3.35
<br />3.65 3 95
<br />T=.54
<br />1:13
<br />4.70
<br />2.29
<br />2.86
<br />3.45
<br />4.03'
<br />4.63
<br />5.23
<br />5.83.
<br />6.44
<br />7.07
<br />7.70
<br />8.35
<br />115°.
<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'
<br />3.53'
<br />-3.88
<br />4.23
<br />4:58
<br />1200•
<br />T=.61
<br />1.25'1.89
<br />2.52
<br />3.18
<br />3.81
<br />4.44
<br />5.11
<br />5.78
<br />6.44
<br />7.11
<br />7.80
<br />8.51
<br />921
<br />E=.339
<br />..720,1.08
<br />1:45,
<br />1.82
<br />2.20
<br />2.56.
<br />2.95
<br />3.33
<br />3.72,
<br />4.10
<br />4.50
<br />4.91 5.32
<br />
|