|
VI TABLE 1. - Tangents and Externals to a I' Curve.
<br />Chord =100 it.
<br />Int,
<br />Angle
<br />Tangent
<br />g
<br />External
<br />Inge ;
<br />Angle
<br />Tangeni
<br />External
<br />Int'
<br />` Angle
<br />Tangent
<br />External
<br />.259 .391 .524 .657 .790 ,926 1,06 1.20 1.34' 1.47 1 1.62 1-76 1.91
<br />5250.3
<br />2041.7
<br />92° -
<br />6933.2
<br />' 2518.5
<br />99°.,.
<br />G708.6
<br />3093.7
<br />10'
<br />5265.6
<br />2052,1
<br />,10'
<br />5950.6
<br />2531.0
<br />10'
<br />G72S.4
<br />3107.7
<br />20
<br />5281.0
<br />2062.5
<br />20
<br />6967.9
<br />2543.5
<br />20
<br />G748:2
<br />3122.9
<br />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 />.40
<br />G79S:1
<br />3153.3
<br />" 50
<br />5327.4
<br />2094.1
<br />50
<br />6020,2
<br />2581.8
<br />N
<br />6809:2
<br />3LG8.7
<br />86
<br />5343.0
<br />2104:7
<br />93.
<br />GQ37c8
<br />2594.0
<br />100',
<br />0828.3
<br />3184.1
<br />-16
<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 />60731
<br />2619.7
<br />20
<br />6868:8
<br />3215.1
<br />30
<br />5389.0
<br />2136.7
<br />30
<br />6090.3
<br />2632.6
<br />30
<br />0889.2
<br />3230.9
<br />40
<br />5105.)
<br />2117.5
<br />40
<br />G10S.6
<br />2645.5
<br />40
<br />6909.6
<br />3246.5
<br />50
<br />'5421.4
<br />2155.4
<br />53
<br />G126:4
<br />2658.5
<br />50
<br />6930:1
<br />3262.3
<br />87•,
<br />5437.2
<br />21GO.2
<br />94
<br />6144.3
<br />2671.6
<br />101 .
<br />6950.0
<br />3278.1
<br />10
<br />5#53.1
<br />2180.2
<br />10•
<br />OIG2.6
<br />2684.7
<br />10
<br />6971.3
<br />3294.1
<br />20
<br />5109.0
<br />2191.1
<br />20
<br />0180.2
<br />2697.9
<br />20
<br />G992r0
<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 />3320.1
<br />40
<br />5500.9
<br />2213.2
<br />40.:.0216.4
<br />8767.0
<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 />10'
<br />6271'.1
<br />2764.8
<br />16
<br />7096.6
<br />3391.2
<br />20
<br />'5565.4
<br />2258.0
<br />20
<br />6259:4
<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 />-7130.0
<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,D
<br />50
<br />5614.2
<br />2292,0
<br />/50
<br />6344.8
<br />2810.4
<br />50
<br />7131:7
<br />,3457.6
<br />J
<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 />1.0
<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 />0400.8
<br />2361.0
<br />20
<br />7246.3
<br />3503.2
<br />30
<br />-5679.9
<br />2338.2
<br />30
<br />6119.5
<br />2875.0
<br />30-
<br />7263.0
<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 />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 />101 -
<br />'7333.6
<br />3570.5
<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 />2945.9
<br />20
<br />7377.8
<br />3611.7
<br />30
<br />5779.9
<br />2408.9
<br />39-,.
<br />.0514.3
<br />C533.4
<br />2960.3
<br />30
<br />72D A
<br />3G29.2
<br />40
<br />5796.7'
<br />2420.9
<br />.40'
<br />6552.6
<br />2974.7
<br />40
<br />7422.2
<br />3046.8
<br />50
<br />5813.6
<br />2432.9
<br />50
<br />6571.9
<br />2989.2
<br />50
<br />7444.0
<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.'G,
<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 />30.
<br />6949.6
<br />3047.0
<br />_
<br />30
<br />7534 .9,
<br />3736.2
<br />40
<br />5808.8
<br />2193.8
<br />40
<br />6669:2
<br />3062.8
<br />'40
<br />7557.7
<br />3754.4
<br />b0
<br />6916.0
<br />2506.1
<br />50
<br />GG33.8
<br />3077.7
<br />50
<br />7530:,5
<br />3772.6
<br />i
<br />TABLE I. - Tangents and Externals to a 1' Curve, VII,
<br />- Chord= 100 ft'. -
<br />Mt
<br />B1an
<br />'Corrections to be Added (T =Tangent, . E. = External.)'
<br />Sn1. Curve 5°
<br />Anila
<br />LO° IS° 20° - 25° 30°. 35° 40° 45° 50° 55° 60° 65° . 70°
<br />,
<br />85'
<br />T=:33
<br />:66 1.00 1:33 1.68 2.02 2.36 2.7U 3.05 3A0 3.77 4.14= 4.55 4.89
<br />35°
<br />E=.128
<br />.259 .391 .524 .657 .790 ,926 1,06 1.20 1.34' 1.47 1 1.62 1-76 1.91
<br />90'
<br />T-.36
<br />.72 1.09 1.45 1.83 2.20 2.57 2.94 3.32 3.70 9.10 4.59 4.91 5.32
<br />8336.7
<br />E =.149
<br />.299 ,450 .603 .756 :010 1.07 '1.22 1.38 1.54 1.i0 1.BT 2.03 2.2D
<br />9y° :
<br />T=.39
<br />:79 1.19 1.55 2.00 2.40 2.80 3.20 3.61 4.02 4.49 4.98 '5.33 5.83
<br />7626,6
<br />L =.174
<br />.350 .5221.,706 .985 1.06 1.25' 1.43 1.62 1.80 1.99 1,18 2.38 2,58
<br />160'
<br />T =.43
<br />8B• 1.30- 1.74•. 2.18 2.62 3.06 3.50' 3.95 4,40, 4.88 5:37 5.85 6.34
<br />9199.1
<br />E =.2C0
<br />- AOI ,604 .809 1,01 1.22 1.43 1,64 1.85 :2.06 2.28 2.50 .2.i3 2.96
<br />105° I
<br />T�.46
<br />1.94- 1.42 IL90' 2.38 12.87 3.34 13:8414.3514.84 5.35 5.87 0.4018.93
<br />„
<br />E=.230
<br />,970 .700 .933 1.17 1.42 1.65 1.�0 ! 2.14 2.39 2.64 2.90 3,16 3A1
<br />i
<br />TABLE I. - Tangents and Externals to a 1' Curve, VII,
<br />- Chord= 100 ft'. -
<br />Mt
<br />B1an
<br />Tangent
<br />10°
<br />'Int.
<br />It.Tangent
<br />n
<br />20°-
<br />External
<br />Int.Tangnt
<br />35°
<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 />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />6133.3
<br />30
<br />7672:9
<br />3846.5
<br />30
<br />8415.1
<br />4450.9
<br />30'
<br />0259.0
<br />5158.8
<br />40
<br />'7696.3•
<br />3865.2
<br />40
<br />8441.6
<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 />':117
<br />9349.9
<br />5236.2
<br />10
<br />7766.8
<br />3921.9
<br />10
<br />8521.3
<br />4538.S
<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 />7338.:1-
<br />3979.4
<br />40
<br />8602.1
<br />4600.0
<br />40
<br />9473.2.
<br />5341.5
<br />50
<br />7862.1
<br />3998.7
<br />50
<br />8529.3
<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 />6395.1
<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 />449.230
<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 />5D
<br />8794.9
<br />4766.9
<br />50
<br />9694.7
<br />5531.7
<br />108
<br />8032.7
<br />4137,1
<br />114
<br />8822.9
<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 />5587.4
<br />20
<br />5082.3
<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 />40.
<br />9857.7
<br />5672.,'
<br />50
<br />8157.5
<br />4239.0
<br />50
<br />8905.0
<br />4909.9
<br />50
<br />9890.8
<br />5700.9
<br />J
<br />110. -
<br />8182.8
<br />4259.7
<br />115'
<br />8993,8
<br />`4034.1
<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 />9957.6
<br />5758.6
<br />20
<br />8233,7
<br />4301.4
<br />20
<br />9051.7
<br />408321
<br />20
<br />9991.0
<br />5787.7
<br />30
<br />6259.3
<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 />0110.3
<br />5032.6
<br />40,
<br />10059.0`
<br />5846.5
<br />50
<br />6310.8
<br />r
<br />4364.8
<br />50
<br />9139:8
<br />6057.6
<br />'
<br />50 •
<br />10003,0
<br />5876.1
<br />Corrections to be Added (T = Tangent. E = External.)
<br />Angle
<br />Angle
<br />Cam 5°
<br />10°
<br />15°
<br />20°-
<br />25°
<br />30°
<br />35°
<br />40° 45°
<br />50°
<br />55° 60°
<br />65° 70°
<br />T=.43
<br />1.30
<br />1.74
<br />2,18
<br />2.62
<br />3,06
<br />3.5D 3.05
<br />4.40
<br />4,88 5.37
<br />5.85 .0.34
<br />lOD°
<br />E=.200
<br />.86
<br />.401
<br />.604
<br />.809
<br />1,01
<br />1.22
<br />1,43
<br />1.64 1.85
<br />2.06
<br />,2.28 2.50
<br />2.73 2.96
<br />T=.4894
<br />1.42
<br />1,90
<br />2.38
<br />2,87
<br />3,34
<br />3.84 4.35
<br />4.84
<br />5.35 5.87
<br />6 40 0.93
<br />105°
<br />E =.230
<br />.47D
<br />.7DO
<br />.938
<br />1,17
<br />1.42
<br />1,65
<br />1.90 2.14
<br />2.39
<br />2.64 2. DO
<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 />8,86
<br />4.21 4.76
<br />5.31
<br />5.86 6.43
<br />7.01 7,50
<br />E-.260
<br />.535
<br />.808
<br />1,03
<br />1,36
<br />1.63
<br />1,91
<br />2.19 2.49
<br />2.01
<br />3.05 '3.35
<br />3.05 ,8.95
<br />T=.54
<br />1.13
<br />1.70
<br />2.29
<br />2.80
<br />3.45
<br />4,03
<br />4.63 5.23.
<br />5.83
<br />6.44 7.07
<br />7.70 8.35
<br />115°
<br />$ =.307
<br />.624
<br />.939
<br />1.20
<br />1,57
<br />1.89
<br />2,21
<br />2.54 2.87
<br />3.20
<br />3.53 3.88
<br />4.23 4.58
<br />120°
<br />T=.61
<br />1.25
<br />1.89
<br />2.52
<br />MO
<br />3.61
<br />4.44
<br />5.11 5.78
<br />6.44
<br />7.11 7.80
<br />8.51 9,21
<br />r-.339
<br />720
<br />1.09
<br />1.45
<br />1.82
<br />220
<br />2,16
<br />2.95 3.33
<br />3.72
<br />4.10 4.50
<br />4,91 6.82
<br />
|