|
VI .TALLY: I. = Tangents and Externals to a V Curve.'
<br />Chord=100 ft.
<br />Int.
<br />Angle
<br />Tansent
<br />External
<br />Int, .
<br />Angle
<br />Tangent
<br />External
<br />Int. _
<br />Angle
<br />-Tangcnt
<br />'1?xternal
<br />85'.
<br />5250.3
<br />2041:7
<br />92°-
<br />5033.2
<br />2518.5
<br />991
<br />67U8.6
<br />309.7
<br />10'
<br />52G5.6
<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 />80
<br />5296.4
<br />2073.0
<br />30'
<br />5985.3
<br />2556.0
<br />30
<br />6708.1
<br />3138.1
<br />40
<br />5311.9
<br />2083.5
<br />X40
<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 />2531.3
<br />_50
<br />6803.2
<br />3198,7
<br />86 .
<br />5343.0
<br />2104.7
<br />93 "
<br />6037,8
<br />2594.0
<br />100 '""
<br />0828.3
<br />3184.1
<br />10
<br />5358,6
<br />2118.3
<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 />2610.7
<br />20
<br />6868.'8
<br />3215.1
<br />30
<br />5389.9.
<br />2130.7
<br />30
<br />6090.8
<br />2632.6
<br />30
<br />6S89.2
<br />3230.8
<br />40
<br />5305,0
<br />2147.5
<br />40
<br />6108.6
<br />2645.5
<br />40
<br />.6909.6
<br />32.46.5
<br />.50
<br />`5421.4
<br />2158.4
<br />.50--
<br />6126.4
<br />2658.5-
<br />50
<br />6930:1
<br />3202.3
<br />87
<br />5437.2
<br />2169.2
<br />94 '1
<br />6144.3
<br />2671.0
<br />101
<br />`G950.6
<br />3278.1
<br />,10
<br />54Zi :1
<br />2130.2
<br />10'•
<br />6162.6
<br />2684.7
<br />10
<br />6971.3
<br />.3294.1
<br />20
<br />'5160.0
<br />21.91_1
<br />20
<br />'6180:2
<br />2697.0
<br />20
<br />G992.0
<br />3310.1
<br />30
<br />-5184.9
<br />202.2
<br />31
<br />6198.3
<br />2711.2
<br />'30 (
<br />7012.7
<br />3326.t
<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.:;
<br />169. -
<br />18032.7
<br />4137.1
<br />r
<br />8822.9
<br />4700.4
<br />110 •
<br />9727:0
<br />5559.4.
<br />68.
<br />5533.1
<br />2235.5
<br />05
<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 />7096.0
<br />,'3391.2
<br />:20
<br />'5565.4
<br />2238.0
<br />20
<br />689.4
<br />2778.3 :
<br />20
<br />7117.8
<br />•3407.7
<br />30
<br />5581.6
<br />2269.3
<br />'.30
<br />6307.0
<br />2792.0
<br />30
<br />7139.0
<br />.3424.3
<br />40
<br />,5597.8,
<br />2280.0
<br />40
<br />6326:3.
<br />2805.6
<br />40
<br />7160.3
<br />3440.9
<br />EO
<br />` 5014.2'
<br />2292,0
<br />5D
<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 1
<br />10
<br />6382:1
<br />2847.0
<br />1.0
<br />7224.7
<br />'3401.3
<br />20
<br />50G3.4
<br />232G.G 1
<br />"20 '
<br />6100.8
<br />2361.0
<br />20
<br />724G.3
<br />3503.2
<br />30
<br />5G79.9
<br />2338.2 !,
<br />30
<br />6119.5
<br />2575.0
<br />30
<br />7263:0
<br />'3525,2
<br />-40
<br />5696.4
<br />2349.8 j
<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 />1
<br />50
<br />6457.3
<br />2903.1
<br />50
<br />7311:.7
<br />3559.6
<br />00'.'
<br />5729.7
<br />2373.3
<br />'97
<br />6470.2
<br />2917.3
<br />104
<br />7333.0
<br />3576.8
<br />10
<br />5746.3
<br />2385:1
<br />10
<br />'6495.2
<br />2931.6r
<br />10
<br />7355.0
<br />3594.2
<br />20
<br />5763.1
<br />2397.0
<br />20
<br />6514.3
<br />2945.0
<br />20
<br />7377.8
<br />3611.7
<br />30
<br />5779.9
<br />2408.9 '
<br />30
<br />0533.4
<br />2960.3
<br />30
<br />7399.9
<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 />3G46.8
<br />50
<br />5813.6
<br />2432.9
<br />50
<br />6571.9
<br />2989.2
<br />50
<br />.7444.G
<br />3G64.5
<br />91 -.
<br />5830.5
<br />2444.9
<br />98 ..
<br />6591.2
<br />3003.8
<br />105'.
<br />7407.0
<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 />20
<br />58614.6
<br />2469,3'
<br />20
<br />6630.1
<br />3033.1
<br />20 .
<br />7512:2'
<br />3718.2
<br />30
<br />588 1. 7
<br />2481.5
<br />30
<br />.6649:6
<br />3047.9
<br />30
<br />7534-9
<br />373G.2
<br />40
<br />5898.8
<br />2493.8
<br />40
<br />6069.2
<br />3062.8
<br />40
<br />7557.7
<br />3754.4
<br />50
<br />591G.0
<br />2500.1
<br />50
<br />668S,8
<br />3077.7
<br />50
<br />.7580 +
<br />3772.6
<br />Corrections to be Added(T--Tangent. E.=External.)
<br />Ini
<br />Angle
<br />Cam 5'
<br />LO°
<br />15° 20' 25 30° 35° 401 1 45°' 50° 55° 60° 1 65° 1 70°
<br />85'
<br />T=.33
<br />.68
<br />1.00 1:33 1.68'1-1 2.36 2.70 3.05 3.40 3.77 4.14 4.55 4.89
<br />External
<br />E=.128-
<br />.259
<br />.391 .524 .657 .790 ..920 1.06 1.20 1.34 1.47 1.62 1.76 1.91
<br />900
<br />T -.36
<br />72
<br />1.09 1.451.83 2.20 2.57 2.94 3.32 3.70. 4.10 4.50 4.91 6.32
<br />9169.4
<br />E =:149
<br />.299
<br />A50 .603 .7S6 .910 1.07 1.22 1.38 1.54 1.70 1.87 2.03 2.20
<br />95°
<br />T=.89
<br />.79
<br />1.19 1.55 2.00 2.40 2.80 3.20 13.61 4.02 4.49 4.88 5.38 5.83
<br />10'
<br />U-174
<br />'.350
<br />.522 .708 .985 1.06 1125 1.43 1.62 1.80 L99 2.18 2.38 2.58
<br />106'
<br />T- .43
<br />86
<br />1.30 1.74 2.01 2.02 3.06 3.50 3.95 9.40 4.88 5.37 5.85 8.34
<br />4429.2
<br />E -.2C0
<br />1 .401
<br />.604 .809 1.01 L22 1 3 1.64 1.85 2.06 2.28 2.50 2.73 2.95
<br />105°
<br />T =.46
<br />I .94
<br />1.42 1.00 2.38 2.87 3.34 3.84 4.35 4.84 5.35 5.87 6.40 8.93
<br />8415.1
<br />E =,230
<br />.470
<br />.700 .936 1.17 1.42 1.01 1.50 2.14 2.39. 2,64 2.90, 3.16 3.41
<br />TABLE 1.,- Tangents and Externals to a 1'. Curve. VIY'
<br />Chord=100 ft.
<br />Int..:
<br />Angle
<br />. Tangent
<br />Ezlernal
<br />Ynt.
<br />Angle
<br />Taligent
<br />External
<br />Int.
<br />Angle •.
<br />Tanaant
<br />External
<br />108°
<br />7603:5
<br />.3791.4
<br />111°.'
<br />6336.7
<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 />5133.3
<br />30
<br />r 7672:`9
<br />3846.5
<br />30 .
<br />8415.1
<br />4450.9
<br />30 :
<br />9259.0
<br />5158.8
<br />40
<br />7696.3
<br />3855.2
<br />40
<br />8441.5
<br />4472.7
<br />40
<br />9289.2
<br />5184.5
<br />650
<br />,7719.7
<br />3884.0
<br />50
<br />8468.0
<br />9494.6
<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 />4538,8
<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 />7.70 8.85
<br />:40
<br />7838:1
<br />3970.4
<br />40
<br />8602.1
<br />4606:0
<br />409473:2
<br />2.87
<br />.5315.0
<br />'5341.51
<br />-50
<br />786251'
<br />3998.7
<br />50
<br />8629.3
<br />4628.6
<br />50'
<br />9504.4''5368.2
<br />5.11
<br />108
<br />7886.2
<br />4018:2
<br />113
<br />8656,0
<br />•4651:3
<br />116.'•
<br />.9535.7'15395.1
<br />2.20
<br />X10,-.7910.4
<br />2.95
<br />,4037,$
<br />10
<br />868410
<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 />8730.2
<br />'4720.3
<br />- -30_'.9630.7'
<br />5476,0
<br />" !40'
<br />'7963.5
<br />4097.1
<br />40
<br />8707.0
<br />4743.6
<br />`.40•..0662:6.
<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 />169. -
<br />18032.7
<br />4137.1
<br />114
<br />8822.9
<br />4700.4
<br />110 •
<br />9727:0
<br />5559.4.
<br />8057.4
<br />4157.3
<br />10
<br />8851.0
<br />4814.1
<br />10'0759.4
<br />5587.4
<br />8082.3
<br />4177.5
<br />20
<br />8879.3
<br />4837.8
<br />20
<br />y0792:0
<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 />x.40:8132.3'
<br />4218.4
<br />40
<br />8936.3
<br />4885.7
<br />40 '
<br />9857.7 ''56M
<br />C
<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 />89938
<br />4034.1
<br />180
<br />9924.0
<br />5729.7
<br />10
<br />8208,2
<br />4280.5
<br />10
<br />9022.7
<br />4058.0
<br />,10
<br />9957.5'
<br />5758.6
<br />20_
<br />5233.7
<br />4301:4
<br />20
<br />0051.7
<br />498311
<br />20
<br />X9991.0
<br />5787.7
<br />30
<br />S259.3
<br />.4322.4,
<br />30
<br />9080.9
<br />5007.8
<br />30
<br />10025:0
<br />5817.0
<br />4_ '40
<br />8285.0
<br />4343.6
<br />40
<br />9110.3
<br />'5032:6
<br />40
<br />10059,0.
<br />5846.5,
<br />.l50
<br />8310.8
<br />4364.8
<br />50
<br />9139:8
<br />5057.6
<br />.50 -10093.0
<br />5876.1
<br />Corrections to be Added (T = Tangent. E = External.)
<br />Int,
<br />Angle
<br />rve Cu5' 10' 15°
<br />20°
<br />25'
<br />30°
<br />35'
<br />40°
<br />45°
<br />50'
<br />S5" 60°
<br />65° 70'
<br />leo
<br />T=.43 .86 1.30
<br />1.74
<br />2,16
<br />2.02
<br />3.06
<br />3.50
<br />3.95
<br />4.40
<br />4.88 5.37
<br />5.85 .0.34
<br />E =.200 .401 .604
<br />:809
<br />1.01
<br />1.22
<br />1.43
<br />1.64
<br />1.$5
<br />2.00
<br />2.28 2.60
<br />2.73 2.06
<br />105°
<br />T=,46 .94 1.42
<br />1.90
<br />2.38
<br />2.87
<br />3.24
<br />3.84
<br />4.35
<br />14.84
<br />5.35 5.67
<br />6.40 6.98
<br />E =.230 .470 .700
<br />.938
<br />1.17
<br />1.42
<br />1.65
<br />1.90
<br />2.14
<br />12.39
<br />2.64 2.90
<br />3.16 3.41 .
<br />110°
<br />Ta.50 1.03 1.55
<br />2.08
<br />2.60
<br />j 3.14
<br />3.66
<br />4.21
<br />4,76
<br />5.31
<br />5.88 6.43
<br />7.01 7.50 '
<br />E-.260 .535 .808
<br />1.08
<br />1.30
<br />1.63
<br />1.91
<br />2.10
<br />2.40
<br />2.61
<br />3.05 3.35
<br />3:65 8.95
<br />115°
<br />T =.54 1.13 1.70
<br />2.29
<br />2.88
<br />3.45
<br />4.03
<br />4.83
<br />5.23
<br />6.83
<br />6.44 7.07
<br />7.70 8.85
<br />F =.307 .824 .939
<br />1.28
<br />k.57
<br />1.89
<br />2.21
<br />2.54
<br />2.87
<br />3.20
<br />3.58 3.88'
<br />0.23 4.58
<br />120°
<br />T=.61 11.25 1.89
<br />2.52
<br />3.18
<br />3.81
<br />4.44
<br />5.11
<br />3.78
<br />8.44
<br />7.11 7.80
<br />8.51 9.21
<br />10-.33D •.720 LOB
<br />1.45
<br />1.82
<br />2.20
<br />2.,'S
<br />2.95
<br />3.33
<br />3.72'
<br />4.10 4.60
<br />4.91 .8.82
<br />
|