|
WTALE I. Tangents and Externals to a 1' Curve.
<br />-Chord- 100 ft.
<br />Int.
<br />•� Angie
<br />-Tangent
<br />External
<br />I
<br />Angle
<br />Taagcnt
<br />I
<br />{External
<br />y g,
<br />An' le
<br />Tangent:
<br />External
<br />85°
<br />5250.3.
<br />2041.7
<br />92'
<br />5933.2
<br />2518:5
<br />00°
<br />6708.6-
<br />3092.7
<br />10'
<br />5265.6
<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 />^967.9
<br />2543.5
<br />20
<br />6748.2
<br />3122.9
<br />30
<br />529G.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 />0002.7
<br />2568.6
<br />40
<br />G788.1
<br />3153.3
<br />50
<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 />5&13.0
<br />2104.7
<br />03
<br />6037.8
<br />2591.0
<br />100
<br />9349.9..5.2
<br />3184.1
<br />.10
<br />5358.6
<br />2115.3
<br />10
<br />6055.4
<br />2606.8
<br />10
<br />,_6828.3
<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 />30
<br />5389:9
<br />2136.7
<br />•30
<br />6090.8
<br />2632.6
<br />306889.2,
<br />9.142.2
<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 />50
<br />6126.4
<br />2653.5
<br />50
<br />6930.17
<br />3262.3
<br />108
<br />A37.2
<br />2109.2
<br />94-
<br />6144.3
<br />2671.6
<br />101-
<br />050.
<br />3275-.1
<br />' 10
<br />5453-:1
<br />2180.2
<br />10
<br />6162.6
<br />2684.7
<br />10
<br />6971.3.
<br />34
<br />29..1
<br />20
<br />5469.0
<br />2191.1
<br />20-
<br />6180.2
<br />2697.9
<br />-- 20
<br />6902.0
<br />3310.1
<br />• 30
<br />5484.9-
<br />2202.2
<br />30.
<br />6198:3
<br />2711.2
<br />•30
<br />7012.7'
<br />3f326.1
<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 />50
<br />5517'.0
<br />2224.3
<br />50•
<br />6234.6
<br />2737.9
<br />50
<br />7054.5
<br />3358.5
<br />$$
<br />5533,1
<br />223505
<br />95
<br />6252.8
<br />27;1.3
<br />102'.
<br />7075.5
<br />3374.9
<br />10
<br />-5549.2
<br />2246,7.
<br />10
<br />627.1:1
<br />2764.8
<br />.10
<br />. 709G.6•
<br />3391.2
<br />20
<br />5565.4
<br />2258.0
<br />- 20-
<br />0289.4
<br />2778.3
<br />20
<br />7117.8
<br />3407.7
<br />30
<br />5581.6
<br />2269.3
<br />•.30
<br />6307.4
<br />2792,0
<br />30
<br />7139.0
<br />3424.3
<br />40
<br />5597.8
<br />2280.6
<br />40,
<br />-50
<br />(3326,3
<br />2S05,6
<br />40
<br />7160;3
<br />3440.9
<br />' 50
<br />5614.2
<br />2292.0
<br />50
<br />6344.8
<br />2310.4
<br />50
<br />715117%
<br />3467.6
<br />-89
<br />5670.5
<br />2303,5
<br />90
<br />0363.4
<br />2833.2
<br />103 •
<br />7233.2;
<br />°474.4
<br />110
<br />5546.9
<br />2315.0
<br />10
<br />0382.1
<br />2847.0
<br />10
<br />7234,7
<br />3491.3
<br />20
<br />5653:4
<br />2326.6
<br />20
<br />0400:8
<br />2861,.0
<br />20
<br />7246.3:
<br />3503.2
<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 />-50
<br />5713.0
<br />2361.5
<br />7 50
<br />6457.3
<br />2903.1
<br />50
<br />7311.7
<br />3559.6
<br />80
<br />5724;7
<br />2373.3
<br />97,
<br />G476.2
<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 />2611.7
<br />30
<br />5779.9
<br />2408.0
<br />30
<br />6533.4
<br />29G0.3
<br />30
<br />7399.9
<br />3620.2
<br />40
<br />5796.7
<br />2420.9
<br />40
<br />6552,G
<br />2974.7
<br />40
<br />7422.2
<br />3646.8
<br />50
<br />5813,0
<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 />2444.0
<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 />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 />75349
<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 />7580.6
<br />3772.6
<br />r'
<br />Corrections to be Added (T =Tangent. E. =External.)
<br />Lnt.
<br />Tangent)
<br />jj
<br />External
<br />Int.
<br />Angle
<br />Angle
<br />Curve 5°
<br />10° 115° 1'20' 25° 30' 1 35' .40' 45' S0'
<br />55° 60' 65° 70'
<br />sp
<br />T=,33
<br />.66 1.00 L.33 1.68 2.02 2.36 2.70 3.05- 3.40
<br />3:17 4.14 4.55 4.89
<br />111°•
<br />1]=. 128
<br />.259 .301 ,524 .657 .790 .926 1.06 1.20. 1.34
<br />1.47 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
<br />4.10 4.50 4.91 5.32
<br />3809.4
<br />E =.149
<br />.209 .450 .608 .756 .910 1.07 1.22 1.38.11.54
<br />t.70 1.87 2.03 2.20
<br />95'
<br />T=-39
<br />.79 1,19 1.55 2.00 2.40 2,80 3.20 3.61 4.02
<br />4.40 4.98 5.33 5.83
<br />7649.7
<br />E=.174
<br />.350 ,522 .706 .995 1.06 1.25 1.43 1.fi2 1.80
<br />1.90 2.18. 2.38 2.58
<br />100°
<br />T=•43
<br />.86 1.30 1.74 12.18 2.G2 3.06 3.50 3.95 4.40
<br />4.88 5.37 5.85 6.34
<br />30
<br />E=.200
<br />.401 .604 .809 1.01 1.22 1,43 1.14 1.85 2,06
<br />2.28 2.50 2.731 2.Q5
<br />1050
<br />T=.46
<br />04 1.90 2.38 3.87 3.34 3.61 4.35 4.84
<br />5.35 5.67 6.40 6313
<br />5158.8
<br />E=.230
<br />11.42
<br />470 .700 :938 1.17 1,42 1.&-5 1.00 2.14 2.39
<br />2.64 2,00 3.16 3.41
<br />TABLE I: - Tangents and Externals to a 1° Curve. VII
<br />Chord =100 ft.
<br />Int.
<br />Angle -
<br />Tangent)
<br />jj
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle 4
<br />Tangent
<br />External
<br />10G'
<br />7603.5
<br />3791,0
<br />111°•
<br />8336.7
<br />4386.1
<br />il0°
<br />9169,4
<br />5082.7
<br />10'
<br />7626.6
<br />3809.4
<br />11.10,
<br />8362.7
<br />4407.6
<br />'10'
<br />9199.1
<br />5107.9
<br />-20
<br />7649.7
<br />3327.9
<br />20
<br />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />5133,3
<br />30
<br />7672.9•
<br />3846.5
<br />30
<br />8415.1
<br />4450.9
<br />r 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 />9289.2
<br />5164.5
<br />50.
<br />7719.7,
<br />3834.0
<br />50
<br />8408.0
<br />4494.6
<br />50
<br />9319,5
<br />5210.3
<br />107
<br />7743.2
<br />3902.9
<br />'112
<br />8494:0
<br />4515,E '
<br />117 .
<br />9349.9..5.2
<br />236
<br />10.
<br />7766".8
<br />3921.9
<br />10
<br />8521:3
<br />4538.8
<br />r '10
<br />9380.5
<br />5262.3
<br />20
<br />779015
<br />3940.9'
<br />20
<br />8545.1
<br />4561.1
<br />20 '
<br />9411.3
<br />5288.6
<br />'30 '.7814.3
<br />2.56
<br />3960.1
<br />30
<br />8575.0
<br />4583.4
<br />30
<br />9.142.2
<br />5315.0.
<br />40
<br />7838.1
<br />3979.4.
<br />40
<br />6602.1'
<br />4606.0
<br />40
<br />0473.2
<br />5341.;1'
<br />50
<br />7862.,1
<br />3993.7
<br />50
<br />8629.3.
<br />462S:G
<br />50
<br />9504.4..5365.2
<br />108
<br />7.88G.2
<br />4013.2
<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 />868.1.0
<br />4674-2
<br />10
<br />9567.2
<br />5422.1
<br />20-
<br />7934.6
<br />4057.4
<br />20
<br />3711.5
<br />4697-3
<br />20'
<br />9595.9
<br />5449.2.
<br />30
<br />7959:0
<br />4077.2
<br />30
<br />8739.2
<br />4720.3•
<br />''0
<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 />9662.65504.0
<br />50
<br />SOOS,O
<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 />11.4
<br />8822.0
<br />4790.4
<br />119
<br />9727.0
<br />5559.4.
<br />10
<br />8057:4
<br />-4.157.3
<br />10
<br />SS51.0
<br />4814.1
<br />10
<br />0759.4
<br />5587.4
<br />20
<br />SOS2.3
<br />4177.5
<br />20
<br />SS79.3
<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 />4361.7
<br />30,
<br />9S24.S
<br />5G43.8
<br />40
<br />8132.3
<br />4213.4
<br />40
<br />SO36.3'
<br />.48S5.7
<br />40
<br />9957.7.
<br />5672.3
<br />50
<br />8157.0
<br />•4239.0
<br />50
<br />8965.0•
<br />,4909.9
<br />50
<br />9390.3
<br />5700.7
<br />110
<br />8182.8
<br />42$9.7
<br />115
<br />8993.8
<br />4934.1
<br />120
<br />9924.0
<br />5729.7
<br />:'
<br />10
<br />5208.2`
<br />4`LBD.S
<br />10
<br />9022.7
<br />4958-G
<br />10
<br />99375 .
<br />575S.6
<br />20
<br />8233.7'
<br />4301.4
<br />20
<br />9051.7
<br />4983.}
<br />2D
<br />9991.0-
<br />5757.7
<br />30
<br />S259.3
<br />4322.4
<br />30
<br />0080.9
<br />5007:8
<br />30 ,1.01125.0
<br />-40
<br />141159.0
<br />5817..0
<br />5S46.5,.
<br />40
<br />'5285.0
<br />5310.8
<br />4343.6'
<br />436.1.8
<br />40
<br />50
<br />9110.3
<br />9?30.8
<br />5032.6
<br />5057.6'
<br />_ 50
<br />,
<br />10093.0
<br />5876.1
<br />50
<br />i
<br />Corrections to be Added (T =Tangent. E=External.)
<br />lat.Angie
<br />Curve 5'
<br />1D° lo° 20' 25° 30'
<br />35'
<br />5'
<br />50°
<br />53° 60' 65° 70'
<br />4;"
<br />T=.43
<br />36 1.30 174 2.18 2.62
<br />3.06
<br />.95
<br />4.40
<br />4.88 5.37 5.85 6.34
<br />100'
<br />E =.200
<br />-4011 A .SG9 1.01 1,22
<br />1.43
<br />.,
<br />&5
<br />2,06
<br />2.25 'MO 2.73 2.96
<br />T =.46
<br />.94 1.42 1.90 2.33 2.87
<br />3.3t
<br />S.
<br />4.35
<br />4.84
<br />5.35 5.87 6.40 G.03
<br />10�
<br />E -.230
<br />.470 .7001 .938 1.17 1.42
<br />1-55
<br />1.90
<br />2.39,
<br />2.64 2.00 3.16 3.41
<br />T =.50
<br />1.Q3 1.55 2.03 2.60 3.14
<br />3.661
<br />4.21
<br />2.14
<br />4,76
<br />5.31
<br />5.80 16.43 7.01 7.59
<br />I10°
<br />P=.260
<br />5351 .805 103 1..36 1.63
<br />1.91
<br />2.19
<br />'2.49
<br />2.61
<br />3.05 3.35 3-051 3.95
<br />T-54
<br />1�i.-,OEJ.86 3.45
<br />4.03
<br />4.G.ix,23
<br />5.83.,
<br />6.44 7.D7 7.70 3.35E-.307
<br />.571.89
<br />2.51
<br />2.54
<br />'287
<br />320
<br />363 3.85 4.23 4.58
<br />T=.61
<br />1.10 3,81
<br />4.4
<br />5.11
<br />x.73
<br />6.41
<br />Tal 7.86 3Si 9.21
<br />33982
<br />2.201
<br />2.56
<br />2.95
<br />8 33
<br />3.72
<br />4.10 4.50 4.91 5.33
<br />
|