|
VI T'A15LE 1. -- Tangents' lend' Externals to a 1° Curve,
<br />Chord=100 "f t.
<br />A gle
<br />Tangent
<br />External
<br />',Angie
<br />Tangent
<br />External
<br />'An,le
<br />Tangent
<br />External
<br />85°
<br />5250,3
<br />2011.7
<br />92°
<br />5933.2
<br />251S.5
<br />991
<br />6708.6
<br />3092.7
<br />10'
<br />5265.0
<br />2052.1
<br />10'
<br />5950.5
<br />2531.0
<br />10'
<br />6728.4'.3107.7
<br />.756 .910
<br />20
<br />5281.0
<br />2062.5
<br />'20
<br />6967,9
<br />2543.5
<br />20
<br />6748.2
<br />3122.9
<br />30
<br />5293,4
<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 />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 />86.
<br />5343.0
<br />2104:7
<br />93
<br />0037.3
<br />2594.0
<br />100•
<br />G828.3
<br />3184.1
<br />10,
<br />5358.6
<br />2115.3
<br />10-
<br />0055.4
<br />. 2GM 8
<br />10
<br />GS4S.5
<br />3199.6
<br />20
<br />5374:2
<br />2126.0
<br />20
<br />6073.1
<br />2619.7
<br />20
<br />G868.8
<br />3215.1
<br />�30
<br />•5389.9
<br />2136.7
<br />30
<br />6090.8
<br />2632.6
<br />-30
<br />GSSG.2
<br />3230.8
<br />40
<br />5405:6
<br />2147.5
<br />40
<br />6108.6
<br />2G45,5
<br />4U
<br />11909.6
<br />3240.5
<br />50
<br />5421:4
<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 />0144.3
<br />2671.6
<br />101
<br />6950.6
<br />3278.1
<br />10
<br />5}53.1
<br />2150.2
<br />10
<br />0102.6
<br />2684.7
<br />10
<br />6971.3
<br />3294.1
<br />.,20
<br />: 5169:0
<br />2191.1
<br />20
<br />6180,2
<br />2097.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5184:9
<br />2202.2
<br />30
<br />0198.3
<br />2711.2
<br />30
<br />7012.7
<br />3326.1
<br />40
<br />5500.9
<br />2213.2
<br />40
<br />0216.4
<br />2724.5
<br />40
<br />7033,G
<br />3342.3
<br />50'
<br />- 5517.0
<br />2224.3
<br />-' y50
<br />6234.0
<br />2737.9
<br />•50
<br />7054.5
<br />3358.5
<br />88"
<br />5533.1
<br />2235.5
<br />95,
<br />-5252:8
<br />2751.3
<br />102
<br />7075.5
<br />3374.9
<br />" 10
<br />5547.2
<br />2246.7
<br />j 10
<br />6271,1
<br />2764.5
<br />10
<br />7096.6;
<br />3391.2
<br />2Q
<br />5565.4
<br />2258,0
<br />/ 20
<br />62S9,4
<br />i 2778.3
<br />20.
<br />7117.8
<br />3407.7
<br />,30
<br />5581•,6
<br />2269.3
<br />30
<br />(.307,9
<br />2792.0
<br />30
<br />7139.0
<br />3424,3
<br />40
<br />5597.8
<br />2280.6
<br />40
<br />63-r,.3
<br />2805.6
<br />40
<br />7160.3
<br />3440.9
<br />50'
<br />5614.2
<br />2292.0
<br />50
<br />6344.8
<br />4 2819.4
<br />50
<br />7181,7
<br />3487,11
<br />89
<br />5'30.5
<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 />I0
<br />7224.7
<br />3491.3
<br />20
<br />5363.4
<br />2320,6
<br />20
<br />6100.8
<br />2961.0
<br />20
<br />7246.3
<br />3303.2
<br />30.
<br />5570.0
<br />2333,2
<br />30
<br />6110.5
<br />2875.0
<br />30
<br />7268.0
<br />3525.2
<br />40
<br />5696.4
<br />2349.8
<br />40
<br />6138.4
<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 />91
<br />6476.2
<br />2917.3
<br />101
<br />7333.6
<br />3576.8
<br />.I0
<br />5746.3
<br />2355:1
<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 />2408.0
<br />311
<br />G533.4
<br />2960,3
<br />30
<br />7399.9
<br />3029.2
<br />40
<br />5796,7
<br />2420.9
<br />40
<br />6552:6
<br />2974.7
<br />40
<br />7422.2
<br />334G.3
<br />60
<br />5S13.6
<br />2432.9
<br />5U
<br />6571.9
<br />2989.2
<br />50
<br />7444.G
<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 />(1610.6
<br />3018.4
<br />'10
<br />7489.6
<br />3700.`',
<br />20
<br />5864.6
<br />2469.3
<br />20
<br />6630.1
<br />3033.1
<br />20
<br />7:512.2
<br />3718.2
<br />30
<br />5881.7
<br />2481.5
<br />30
<br />6649.6
<br />3047.9
<br />30
<br />7:534.9
<br />373G.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 />GGS8.8
<br />3077.7
<br />50
<br />7580,:,
<br />3772.6
<br />Corrections to be Added (T =Tangent. M =External.)
<br />Ink.
<br />Angle Curve 5° 10°
<br />15° 20°
<br />25° 30°
<br />1 35°
<br />40° 1 45° 50°
<br />55° 60° 65° 70°
<br />85° T =-33 .,66
<br />1,00 1.33"
<br />1.68 2.02
<br />2.36
<br />2.70 3.05 3.40
<br />11.20
<br />3.77 4.13 4.55 4.89
<br />T =.128 259
<br />.391 .524
<br />.857 .790
<br />-.92011.00
<br />1.31
<br />1,47 '1.62 1.76 1.91
<br />9D° T=.36 .72
<br />1,09 I.45
<br />1.83 120
<br />2.57
<br />2.94 1 3.32 J MD
<br />4.10 4.50 4.91 5.32
<br />E-119' .299
<br />..450 .603
<br />.756 .910
<br />1.07
<br />1,22 11.38 1.54
<br />1.70 1.87 2.03 2.20
<br />95° T=.29.79
<br />1.19 1.55
<br />2.00 2A0
<br />2,80
<br />3.2p 3,61 4.02
<br />11.62
<br />4A9 4.98 5.36 5.83
<br />L =.174 ,350
<br />,522 ..706
<br />',985 I.00
<br />1,25
<br />1.43 1.SD
<br />1.99 2.18 2.38 2.58
<br />190° T=A3 t .80
<br />1.30 1.74
<br />2.18 2.82
<br />_
<br />3.06
<br />3.50 3,95 4.40
<br />4.88 5.37 5.85 6.34
<br />1 =.200 Y .401
<br />,604 ,809
<br />1.01 122
<br />1.43
<br />1.6-4 1.65 ,2,03
<br />2.23 2,50 2.73 2.96
<br />105° T=A6 .94
<br />1.42 1.90
<br />2.38 2.87
<br />3.34
<br />3.84 4.35 4.84
<br />5.35 5'.87 6,40 8.93
<br />E .2 0 470
<br />.700 .03811.17-
<br />1.42
<br />1.G5 11.0
<br />2,11 2.39
<br />2,64 2.90 3.1$ 3.41
<br />TA13LE I. - Tangents and Externals to a 1' Curve. VII
<br />'Chard =100 ft:"
<br />Int.Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />A gle
<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 />IW
<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 />76172.9
<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 />3865.2
<br />40
<br />8441.5
<br />4472.7
<br />40
<br />0289.2
<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 />101
<br />7743.2
<br />3902.9
<br />'112
<br />8494.6
<br />4516.6
<br />,111
<br />9349.9
<br />5236.2
<br />IO
<br />7766.8
<br />3921.9
<br />10
<br />852t.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 />5315.0
<br />40
<br />7838,1
<br />3979.4
<br />40
<br />86102.1
<br />460G.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 />7866.2
<br />4018.2
<br />113
<br />8656.G
<br />4651.3
<br />118
<br />9535,7
<br />5395.1
<br />'30
<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 />9598,0
<br />5440.2
<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 />0662.6
<br />5504.0
<br />50
<br />8008.0
<br />4117.0
<br />50
<br />8794.9
<br />4766.0
<br />50'
<br />9694.7
<br />5531.7
<br />109
<br />8032.7
<br />4.137.1
<br />114
<br />8822.9
<br />4790.4
<br />119.
<br />9727,0
<br />5550.4,
<br />10
<br />8057.4
<br />4157.3
<br />10
<br />8851.0
<br />4814.1
<br />IU
<br />9769.4
<br />5587.4
<br />20
<br />8082.3
<br />4177.5
<br />20
<br />8879.3
<br />4837,8
<br />20
<br />0792.0
<br />5615.'5
<br />30
<br />8107.3
<br />4197.9
<br />30
<br />8907.7
<br />4361.7
<br />30
<br />9824.8
<br />5643.8
<br />40
<br />S132.3
<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 />8965.0
<br />4909.9
<br />50
<br />9890.8
<br />6700.9
<br />lie
<br />8182.8
<br />4259.7
<br />115
<br />8993.S
<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 />8233.7
<br />4301,4
<br />20
<br />9051.7
<br />498311
<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 .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 ..1009310
<br />5876,,1
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Int. e
<br />Angl
<br />Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />1 45°
<br />50°
<br />1 559
<br />600
<br />65°
<br />70°
<br />T =.43
<br />1.30
<br />1.74
<br />2,18
<br />2.62
<br />3.06 3.50
<br />8.95
<br />4.40
<br />4.88
<br />5.87
<br />5.85
<br />.0-34
<br />100°
<br />E =.200
<br />.86
<br />.401
<br />.604
<br />.809
<br />1.01
<br />1.22
<br />1.43
<br />1.64
<br />1.$5
<br />2.00
<br />2.28
<br />2.50
<br />2.78
<br />2.90
<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
<br />5.35
<br />5.87
<br />6.40
<br />6.93
<br />105°
<br />E-.230
<br />.970
<br />,700
<br />,938
<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 />3.4I
<br />T=•50
<br />1.03
<br />1,65
<br />2.08 ,2.60
<br />3.14,
<br />3.66
<br />4.21
<br />4.70
<br />6.43
<br />7.01
<br />7.69
<br />110°
<br />E=.260
<br />.535
<br />.808
<br />1.08
<br />1.35
<br />1.63
<br />1.91
<br />2.19
<br />2.49
<br />3.355
<br />3.65
<br />3.95
<br />T=.54
<br />1.13
<br />1.70
<br />2.29
<br />2.86
<br />3.45
<br />4.03 4.63 5.23
<br />+1.03
<br />7.07
<br />7.70
<br />8.35
<br />Il5°
<br />E=.307
<br />:629
<br />,939
<br />1,26
<br />1.57
<br />1.89
<br />2.21
<br />2.54
<br />2.87
<br />3.88
<br />4.23 4.58
<br />T=.fit
<br />1,25
<br />1.89
<br />2.52
<br />3.15
<br />3.81
<br />4.44
<br />5.11
<br />5.78
<br />8.44
<br />7.11
<br />7.80
<br />8.51
<br />9.21
<br />120°
<br />E ,,339
<br />.720
<br />1.08
<br />1.45
<br />1.82 2.20
<br />2.16
<br />2.95
<br />3.33
<br />3,72
<br />4.10
<br />4.50
<br />4.91
<br />5.33
<br />
|