|
V[ Tn1iLc E- Tangents and -Externals to a' 1° Curve.'
<br />Chord'=100 ft.,
<br />Angle
<br />Tangent.
<br />Ettcrnal
<br />..AnS1e
<br />Tangent
<br />Lxtc al
<br />Adgle'
<br />Tangent
<br />Lxternai
<br />85°
<br />5256.3
<br />2041.7
<br />921
<br />5933:2
<br />2518.5
<br />99P"
<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 />2002.5
<br />-.20'
<br />5967.9
<br />2543.5
<br />20:
<br />6748'.2
<br />3122.9
<br />30
<br />5290.4
<br />2073.0
<br />30
<br />'985.3
<br />2556.0
<br />30"'
<br />6769:'1.
<br />31.38 .1
<br />40:
<br />5311.9
<br />'2083.5
<br />40•
<br />6002.7
<br />2563.6
<br />40.
<br />G788;•T;
<br />3153.3
<br />50'
<br />5327:4
<br />2094.1
<br />50'
<br />�
<br />'6020,2'
<br />2081,3
<br />, ',. 50%
<br />�
<br />6308,2
<br />3168.7
<br />186
<br />5343.0
<br />2104.7
<br />93
<br />6037.8
<br />2594:0
<br />'100'"
<br />f
<br />6828.3
<br />3184.1
<br />10'
<br />5358.6
<br />2115.3 .
<br />10
<br />6055.4
<br />2606.S
<br />.10'
<br />0848.5
<br />3199.6
<br />20�
<br />537d.2
<br />2126.0
<br />20
<br />'6073.1
<br />2619.7
<br />� ,, 20
<br />61868.8
<br />3215.1
<br />a 30
<br />. 5089:9
<br />2136.7
<br />30
<br />6090.8
<br />2G32.6
<br />" 30''
<br />6889.2
<br />3230.8
<br />40
<br />5105.6
<br />2147.6 I.
<br />40
<br />G10S.6
<br />2645:5
<br />40.
<br />6909.6
<br />.3246.5
<br />1•x.50-
<br />5421.4
<br />i
<br />2158.4
<br />5D
<br />0126.4
<br />2658.5
<br />50'
<br />0930..1
<br />3^62.3
<br />$7
<br />5437.2
<br />2169:2
<br />94''''
<br />6144.3
<br />2671-6
<br />101
<br />6950.6
<br />3278.1
<br />10
<br />'645.3.1
<br />2180.2
<br />10
<br />6102.6
<br />2684.7
<br />.10'
<br />0971`3
<br />3294.1
<br />20•
<br />5169.0
<br />2191.1
<br />20
<br />6180:2
<br />2697.9
<br />20
<br />6992.0
<br />3310.1
<br />'•-30
<br />5484.9
<br />.2202.2
<br />--.-30-
<br />0198.3
<br />2711.2
<br />30
<br />7012.7
<br />3326.1
<br />' 4U
<br />5500:9
<br />2213.2
<br />40'
<br />,6216.4
<br />x724,6
<br />- 40
<br />4033.6
<br />3342.3
<br />50
<br />.5517.0
<br />2224.3
<br />J 561
<br />0234':(1
<br />2737.0
<br />50
<br />7054.5
<br />3353.5
<br />5(�-
<br />8008.0,-
<br />'41 1.7, 0.
<br />50
<br />(tr
<br />4766.0
<br />50 -
<br />9694.7
<br />5631.7
<br />88,
<br />5533.1
<br />2235:5
<br />�
<br />)9S "•'
<br />61252.8
<br />2751'3
<br />'102
<br />.7075;5
<br />337.1: 9
<br />10
<br />5549.2'
<br />2246.7
<br />' `10-
<br />6271.1
<br />276.1.5
<br />10
<br />7096:6
<br />3391.2
<br />20
<br />5365.4
<br />2258.0
<br />20.
<br />62S9.4
<br />2778.3
<br />20
<br />7117:8
<br />3407.7
<br />30
<br />5581.0
<br />2269.3
<br />30
<br />6307.9
<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.G
<br />40
<br />7160.3
<br />3440.9
<br />50
<br />5614.2
<br />2202.0
<br />50'
<br />•0344:8
<br />2819.4
<br />50
<br />7151.7
<br />3457.0
<br />80
<br />5630.5
<br />2303.5
<br />PT:-'
<br />6363.4
<br />2833:2.
<br />103
<br />7203:2
<br />3474..4
<br />- - 105646.9
<br />'8205,2'
<br />2315.0
<br />10'
<br />6382.1
<br />2847.0
<br />30
<br />7224.7
<br />.9491.3
<br />• '20
<br />5563.4
<br />2326:6
<br />20
<br />6100.8
<br />2361.0
<br />20
<br />7246:3
<br />3:108.2
<br />30
<br />5079.0
<br />2338.2
<br />7. 30
<br />6119.5
<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.R
<br />-:3:542.4
<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 />104 L
<br />'7333.6•
<br />3576:8
<br />10
<br />5746.3
<br />2385.1
<br />10
<br />6.195.2
<br />2931.6
<br />10
<br />7355,6
<br />3594.2
<br />20
<br />57G3.1
<br />2397.6
<br />20
<br />13514.3
<br />2945.9
<br />20'
<br />7377:8
<br />3611.7
<br />30
<br />5779.9
<br />2108.9
<br />30'
<br />6533.4
<br />2960.3
<br />30
<br />7390.9,
<br />3629.'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 />5913.6
<br />2432.9
<br />50
<br />6571.9
<br />2989.2
<br />50
<br />7444.6.
<br />3604.5
<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 />7489.0
<br />3700.2
<br />20
<br />5864.6
<br />24.69.3
<br />20
<br />6630.1
<br />30.33.1
<br />20
<br />.7312:2
<br />3718.2
<br />30
<br />5381.7
<br />248 1, 5
<br />30
<br />6649.6
<br />3047.0
<br />30
<br />-753.1.9
<br />3736.2
<br />40
<br />5398.8
<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 />250G,1
<br />50
<br />0683.8
<br />3077.7
<br />50,
<br />7550.5
<br />3772.6
<br />_ Corrections -to be -Added (T =Tangent. E. =External:)
<br />lilt
<br />Curve 5° ]0°
<br />15° 20° 25° 30° 35°
<br />40°
<br />45° 50° -55° 60° 65° .70°
<br />[e
<br />Int,
<br />An91 ','Tangent
<br />35° 40°
<br />External
<br />106°' .:.:7603.5.
<br />85°
<br />T =.33 .6G
<br />1.00 1.33 1.08 2.02 2,30
<br />2.10
<br />3.05 3.40 3.77 4,14 4:55 A,80
<br />11.91
<br />110°
<br />I t =.128 289
<br />.391 .524 .657 .700 .92611.06
<br />•1D!
<br />1.201 1.34 1.47 1,62 1.76
<br />90,
<br />T=36 .72 1
<br />1.09 1.45 1.83 2.20 12.57
<br />12.94
<br />3.32 3.70 14.10 4.50 4.91- .5
<br />9199:1
<br />U=.140 .299
<br />A50 .603 .756 .91.0 1.07
<br />1.23
<br />1.38 1.54 1,10 1.87 2.03 2.20
<br />95' -
<br />T=.39 .79.
<br />11.19"2.00 2.40 2.80
<br />3.20
<br />3.61 4.02;.4.49 4.93 5.38 5.83
<br />11.62
<br />°5133:3
<br />1;=.174 .350
<br />.5231 .706 .985 1.06 1.25
<br />1.43
<br />1.80 11.99 2.13 2.38 2.58
<br />190° _,
<br />_
<br />T--."43. .86
<br />1.30 1.74. 2.18 , 2.62 3.06
<br />3.50
<br />3.95 4.40 4.88
<br />,1.85
<br />4.84 5-35
<br />E =!200 .401
<br />.G61 .809 1.01 123 1.43
<br />1.64
<br />2.06 2,28
<br />105'
<br />T ='AG .94
<br />1.42. L90 2.38 2.87 3.34
<br />3.84
<br />4.35 4.64 5.35 ±74;5
<br />LE
<br />.77Iq.7.'3884.0
<br />T,- .30 .470
<br />.700 .028 1.17 1.42 1.65
<br />1.00
<br />92.14 '2.39 2.64
<br />j�
<br />i
<br />Corrections to be Added (T =Tangent. E = External.)
<br />TABLE, I, - Tangents and Externals_ to a 1° Curve. VII'.
<br />- Chord =100 it.
<br />Int:Int.
<br />Angle,
<br />,Tangent
<br />Externa!
<br />:...Angle
<br />Tangent
<br />External
<br />Int,
<br />An91 ','Tangent
<br />35° 40°
<br />External
<br />106°' .:.:7603.5.
<br />60°
<br />3791..0
<br />111°
<br />8336,7
<br />4386.1
<br />110°
<br />9169.4,•5082.7
<br />2.18
<br />•1D!
<br />:7626.6,.
<br />3809.4
<br />10'
<br />8362.7
<br />4407. f,
<br />10'
<br />9199:1
<br />;5107.0
<br />;20'
<br />•
<br />3827.9
<br />24
<br />9388,9
<br />4429:2
<br />20
<br />•, 9229 0
<br />°5133:3
<br />:30;
<br />,3619;:7
<br />17672 .9,
<br />3846.5
<br />1.0
<br />5415.1
<br />4450.9
<br />'30
<br />9259-Q
<br />-5158:8
<br />4.84 5-35
<br />7696,3,
<br />9865.2
<br />-30,
<br />,40
<br />18441.5
<br />4472.7
<br />40
<br />9289.2
<br />•5184.5 "-
<br />J50,
<br />.77Iq.7.'3884.0
<br />2,14
<br />50
<br />8468.0'.4494.6
<br />3.18 13.41
<br />50
<br />9319.5
<br />5210.3'
<br />1.55
<br />2.03
<br />2.60
<br />3.14
<br />3.66 '4.21
<br />4.76
<br />5.31 5.66
<br />6.43
<br />7.01 7,50
<br />107-
<br />7713,2
<br />3902.9
<br />112;
<br />849.1,.6
<br />4516.6
<br />117
<br />9349'.9
<br />5236.2 .
<br />to-
<br />7760:8'
<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 />394D.9
<br />20.
<br />8548.1
<br />4561.1
<br />20
<br />9411.3
<br />5288.G
<br />30
<br />TS14.3,
<br />306D.1
<br />30
<br />8575.0
<br />4583.4
<br />30
<br />9442'.2
<br />5315.0 ,
<br />-. 40'
<br />';7338'.1,;
<br />3979.4
<br />40
<br />8602.1
<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 />4628.6
<br />50
<br />9501.4
<br />,5368.2
<br />108 -
<br />IS86.2
<br />AM, 2
<br />1138656.0
<br />4.50
<br />4651.3
<br />118
<br />9535.7
<br />5305:1
<br />10'
<br />7910.4',
<br />4037.8
<br />� 10^
<br />8684.0,
<br />4674.2
<br />10
<br />0567.2
<br />5422.1
<br />20,
<br />7934.6"'4057.4•
<br />"' ''0
<br />8711.5
<br />4697.2
<br />20
<br />9598.9
<br />5449.2.
<br />30
<br />. 7959:0'-4077..2
<br />30
<br />8730.2
<br />4720.3
<br />30
<br />0630.7
<br />5476.5
<br />40••7983
<br />0••4097.1
<br />'40
<br />8767:0
<br />4743.6
<br />40
<br />9662.6
<br />5504.0
<br />5(�-
<br />8008.0,-
<br />'41 1.7, 0.
<br />50
<br />8794.9
<br />4766.0
<br />50 -
<br />9694.7
<br />5631.7
<br />109
<br />8032.7
<br />4137.,1
<br />114
<br />8822.9
<br />4790;•4
<br />119
<br />9727-D
<br />5559.4.
<br />80,,7:4
<br />4157.3
<br />10
<br />8851.0
<br />4814.1
<br />10
<br />9759.4
<br />5587.4
<br />,;10
<br />20
<br />8082.3
<br />'4177.5
<br />20
<br />'8879.3
<br />.4837.,S
<br />20
<br />9792.0
<br />5615.3
<br />30
<br />8107.3:
<br />4197.9
<br />30
<br />8907.7
<br />4561.7
<br />.'30
<br />9824.8
<br />5643.8
<br />t. 40
<br />-8132431
<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 />6965.0
<br />4909.0
<br />50
<br />9$90.8
<br />5700.9
<br />1101:
<br />8182:8
<br />4259:7
<br />115
<br />5993.5
<br />4934:1
<br />320
<br />9924:0
<br />5729."r
<br />'8205,2'
<br />4'250:5
<br />10
<br />9022.7
<br />.4958.6
<br />1D
<br />9957.5
<br />5758.6
<br />8233,7.'4301:4
<br />°0
<br />9051.7
<br />4983.1
<br />20
<br />9991.0
<br />5787.7
<br />30-
<br />8259.3'
<br />4322.4'
<br />30
<br />9080.9
<br />'5007.6
<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 />10059.0_
<br />584 G.5
<br />(1;•50
<br />8310.8 .
<br />43G4.8.
<br />`. 50
<br />0139:8
<br />'8057.0,
<br />0
<br />10093:0,
<br />587G. 1'
<br />let
<br />Ang100°
<br />Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35° 40°
<br />45°
<br />50° 55°
<br />60°
<br />65° 70°
<br />T=,42
<br />1.30
<br />1.74
<br />2.18
<br />2.02
<br />3.06 3.50
<br />°,95
<br />'4.40 4.88
<br />5.37
<br />5.85 8.34
<br />E =.200
<br />.86
<br />.401
<br />.604
<br />.800
<br />1.01
<br />1.22
<br />1.43 1.64
<br />1.85
<br />'2.00 2.28
<br />2.50
<br />2.13 2.96
<br />T =.4G
<br />1.0
<br />L.00
<br />2.38
<br />2.87
<br />3,34 3.84
<br />4.31
<br />4.84 5-35
<br />5.87
<br />6.40 6.93
<br />]U5°
<br />F.=.230
<br />.94
<br />AN
<br />.700
<br />,938
<br />1.17
<br />1.42
<br />1.65 1.90
<br />2,14
<br />2.39 2.64
<br />2.90
<br />3.18 13.41
<br />110°
<br />T=.50
<br />1.03
<br />1.55
<br />2.03
<br />2.60
<br />3.14
<br />3.66 '4.21
<br />4.76
<br />5.31 5.66
<br />6.43
<br />7.01 7,50
<br />E =.261}
<br />535
<br />.808
<br />1.08
<br />1.36
<br />1.63
<br />1.01 2.19
<br />2.49
<br />2.61 3.05
<br />3.35
<br />3.85 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
<br />5.23
<br />5.83 6.44
<br />7.07
<br />7.70 8.35
<br />115"
<br />E -807
<br />.624
<br />.939
<br />1.26
<br />1.57
<br />1.89
<br />2.21 2.51
<br />2.87
<br />3.20 .3.53
<br />3.88
<br />4,23 4.58
<br />T =.Gl
<br />L,2
<br />1.89
<br />2.52
<br />3.16
<br />3.81
<br />4.44 5.11
<br />5.78
<br />6.44 7.1 i'
<br />7.80
<br />8.51 9.21
<br />120"
<br />Ji- .330
<br />:729
<br />1.03
<br />1:45
<br />1.82
<br />2-20
<br />2.L6 2.85
<br />3.33
<br />3.72 4.10
<br />4.50
<br />4.91 5 32
<br />®Hm
<br />�m
<br />■o
<br />9'
<br />m
<br />
|