|
VI TA111,E'I: - .Tangents and' Externals to a 1°:Curve:
<br />Chord =100- ft.,
<br />Int...
<br />9ngle ,'Tangent
<br />-'
<br />. -
<br />. . r ..
<br />External
<br />.Int..
<br />"Angle
<br />•Tangent
<br />Exterlial'
<br />Int.
<br />• Anglel
<br />Tangent
<br />Lxl.ernal
<br />86"`•'n.
<br />-525x.3
<br />2041.7
<br />92P'
<br />5933.2
<br />2518:5
<br />.99"-
<br />0708'.6
<br />3092.7
<br />10''
<br />•5265'.6,
<br />2052.1
<br />-'IO'
<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 />6987,9
<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 />3133.1
<br />40,
<br />'5311.9
<br />2083,5
<br />`40'
<br />' 0002.7
<br />2568.6 '
<br />40,
<br />6788.1
<br />3153.3
<br />50
<br />i 5327.4
<br />2004.1
<br />50.
<br />6020.2
<br />2581.3 :
<br />,'50;
<br />6808.2
<br />3168.7
<br />86
<br />1i343:0
<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 />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 />G073.1
<br />2619.7
<br />20,
<br />-6868.8.
<br />3215.1
<br />30
<br />5389.9,
<br />2136.7
<br />30.
<br />i G090.8
<br />2632.6
<br />30
<br />.6889:.2
<br />3230.5
<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 />-6421.4
<br />2153.4
<br />53=
<br />6126.4
<br />2658.5-
<br />50
<br />6930.1
<br />3262.3
<br />`87- -'
<br />'5437.2
<br />2160:2
<br />94
<br />6144.3
<br />2671.6
<br />101
<br />G950.6
<br />3278.1
<br />10.
<br />'5453:'1
<br />2130.2
<br />10'
<br />1.0102.6
<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 />2697:9
<br />20
<br />6992.0
<br />'3310.1
<br />305484.9
<br />7959:0
<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':
<br />".'6216.4
<br />2724.5
<br />40
<br />.7033.6
<br />3342.3
<br />50
<br />5517.0.
<br />2224.3
<br />SD;
<br />1".6234.6
<br />2737.9
<br />50,
<br />7054,5
<br />3358.5
<br />B8 :
<br />553311
<br />2235:5
<br />95 ''-.
<br />6252.8
<br />2751-.3
<br />102: -
<br />7075:5
<br />3374.9
<br />-40
<br />5549.2-
<br />,
<br />2246.7
<br />.10
<br />6271.1
<br />2764.8
<br />10
<br />7096.6
<br />3391,2
<br />20.
<br />5565.4
<br />2258.0
<br />W/
<br />6280.4
<br />2778.3
<br />20
<br />7117:8
<br />5615.5
<br />30
<br />•<55811B
<br />2269,3
<br />%-306
<br />6307.9
<br />2792.0.
<br />.
<br />30
<br />7139.0
<br />,3407.7
<br />3424.3
<br />40
<br />5597.8
<br />2280:6
<br />'40,
<br />G326.3
<br />2805.6
<br />"+ ;,40
<br />7100.3
<br />3440.9
<br />SO
<br />`5614.2
<br />2292.0 .
<br />50
<br />G344.8
<br />2519.4
<br />_'-5U
<br />7181:7
<br />3457.6
<br />"80.
<br />5630".5
<br />2303:5
<br />96 '.
<br />0363.4
<br />2833.2
<br />103
<br />7203.2
<br />3474.4
<br />10
<br />-'
<br />6646.9,
<br />2315.0
<br />10:
<br />6382.1
<br />2847,0
<br />30
<br />7224.7
<br />3491.3
<br />20
<br />-5363.4
<br />2326.0
<br />20,
<br />0100.8
<br />2561.0
<br />20
<br />7246.3
<br />3503.2
<br />30
<br />5679.9'
<br />2338.2
<br />30;
<br />6110.5
<br />287:5.0
<br />30
<br />7263.0
<br />3525.2
<br />•"40
<br />'5696.41
<br />2.349.8 -
<br />40:
<br />6438.4
<br />2889,0':
<br />40 -
<br />7230.8
<br />3542.4
<br />50
<br />'5713.0'
<br />2361:6
<br />50
<br />6457.3
<br />2903.1
<br />50
<br />7311.7
<br />3559.E
<br />-00"
<br />5729:7
<br />2373`.3 '
<br />RT'
<br />6476.2
<br />2917:3
<br />104 _`
<br />7333.6
<br />3576.8
<br />- 10
<br />5746.3
<br />2385'.1
<br />10;'
<br />G495.2
<br />2931.6p
<br />10
<br />7355.6
<br />'359'1.2
<br />" 20
<br />5763. 1,
<br />2397.0
<br />-;. 20'
<br />,6314.3
<br />2945.6
<br />20
<br />.7377.8
<br />•3611.7
<br />30
<br />'5779.9;
<br />2408.9
<br />30'
<br />6533.4
<br />2960.3
<br />30
<br />7399.9
<br />.'3529.2
<br />40
<br />,5796.7:
<br />2420.9 ;
<br />•.E40
<br />6552.6
<br />2974,7
<br />-40
<br />.7422.2
<br />3340.8
<br />50
<br />5813.6
<br />2432.9
<br />._? 50
<br />6571.9
<br />2989.2,
<br />50
<br />7-144.G
<br />3664.5
<br />91 -
<br />5830:5
<br />2444.0 'I
<br />98''•
<br />'6591:2
<br />3003.8 •
<br />105
<br />8.7407.0
<br />3GS2.3
<br />10
<br />5847.5
<br />2457.1
<br />1D
<br />'6010.6
<br />3018.4.
<br />10
<br />'7489.6
<br />;3700.2
<br />20
<br />-5864.6
<br />24G9.3
<br />: 20
<br />1G630.1
<br />3033.1
<br />20
<br />7512.2
<br />.,3718.2
<br />30
<br />5381.7
<br />2481.5
<br />30
<br />.6649.6
<br />3047:9
<br />30
<br />7534.9
<br />3736.2
<br />40
<br />5398.8
<br />2493.8
<br />40
<br />G669.2
<br />3062.8
<br />40
<br />7557.7
<br />.3754.4
<br />50
<br />5916.0
<br />2500.1
<br />50
<br />G088.8
<br />3077.7
<br />50
<br />7580.5
<br />;3772.5
<br />-Corrections to,be Added_ (T =Tangent. E. = External.)
<br />Int.`Curve S° ' 10°' 15° ' 2'P 25' .30° 35° 40°. 45', -_501r ' 55° 60° 65° 70°
<br />r'Angle
<br />;.850 ` T=.33 , .88 ' l 00 1:33 1.68 2.02 2.36 2.50 3:05 3.40 3.77 4.14 4.55 4.89
<br />E=:128' .259 •.395 524 .857 .790 '.920 1.08 1.20 1.34 1.47 1.62 1.78 1.91
<br />900-.- -T=.38, .72 1.09 1.45 1.83 2.20 2.57 2.94 3.32 3.70 4.10. 4.50 4.91 5.32
<br />C =.149 ' _-.299 .450 :803 .056:910 1.07 11.22 11.38 1.54 1.70' 1.87 2.03 2.20
<br />95- - T=.39' .79. 1.19 1.55 2.00 2.40 2.80 3.2013.61 4.02 4.49 4.98 5.33 5.83
<br />-E=.174 - .350 .522 .708 .985 1.06 1.25 1.43 1.62 1.80 1.90 2.18 2.38 2.58
<br />100P T=.43 .881 1.30 1.74 2.18 2.62 3.06 3.50 3.95 4:40 4.88 16.37 15.85 0.34
<br />E =.200 .401 :601 .809 1:01 1.22- 1 A 1.64 I.85 2.06 2.28, 2'.50 12.73 2.96
<br />87 6.10
<br />105° Em.2:O •940 Yc70011:9381:17 1:42 1.65 13.842 go 2 38 2.87 334 I.W 12.11 2.39 2.64'24A5 4.84 3.35 A0'3.1613.51
<br />1
<br />TABLE I. - Tangents and Externals to -a 1° Curve.
<br />Chard =100 ft:
<br />int.
<br />Angle:
<br />-
<br />Tangent
<br />External
<br />-- Int:Int.
<br />,Angle
<br />Tangent
<br />External
<br />.Aye
<br />.Tangent
<br />,External
<br />106°
<br />7603.5
<br />3791'.0.
<br />111'
<br />8336.7.
<br />4386:1
<br />1161
<br />9109.4
<br />.5082:7.
<br />L.43
<br />.7626.6-
<br />.3809.4 ,,
<br />10'.
<br />8362.7
<br />4107.6
<br />- - 10'"
<br />9199.1
<br />5107.9
<br />20
<br />7649:7-.3827.9
<br />.700 .938
<br />20'
<br />8388.9
<br />4420.2
<br />20
<br />9229.0.
<br />5133.3
<br />30.
<br />;7672.9
<br />3346.5-
<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 />9289.2'
<br />5184.5
<br />50
<br />7719:7•
<br />'3884.0
<br />50
<br />8468.0
<br />4494.6
<br />50 •
<br />`8310.5
<br />5210.3.
<br />107
<br />7743.2
<br />'3902.9
<br />112
<br />8494.6
<br />4510.0
<br />:117
<br />9349.9
<br />6236.2
<br />I6'
<br />7766.8
<br />3921.9
<br />10
<br />8521.3
<br />4538.8
<br />10..
<br />9380.5
<br />6262.3
<br />20
<br />7790.5
<br />,3940.9
<br />20
<br />. 8548.1.
<br />4501.1
<br />20,
<br />'9411.3
<br />5288.6
<br />30
<br />-7814.3
<br />30
<br />8575.0,
<br />4583:4
<br />30
<br />9442.2.
<br />5316.0
<br />40'
<br />7838.1
<br />.3960.1
<br />'3979.4
<br />40.
<br />S602.1
<br />4606 .0,
<br />'; 40'.
<br />9473.2'
<br />6341.5
<br />.50.
<br />7862.1.
<br />3998:7
<br />50
<br />5629.3
<br />4628.0
<br />-50_-
<br />'9504.4
<br />5368.2
<br />108
<br />.7886.2
<br />4018.2
<br />113'
<br />8656:6,•4651.3
<br />118
<br />9535.7 -
<br />5395.1
<br />10
<br />'.7910.4
<br />4037.8
<br />-- "•10
<br />8%1.0,
<br />4674.2
<br />to'-
<br />9567.2'-5422.1
<br />20•
<br />7934.6
<br />4057.4
<br />20
<br />8711.5
<br />4697.2
<br />;- '20:,
<br />9598.0_
<br />5449.2
<br />30
<br />7959:0
<br />4077.2
<br />'. 30
<br />81739.2
<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 />46
<br />, 9662.6-
<br />5504•.0
<br />50
<br />8003.0.'4117.0
<br />.50
<br />8794:9
<br />AM 0
<br />50
<br />9694:7
<br />5531.7
<br />109
<br />8032.7
<br />4137.1
<br />114 ..•
<br />6822,9
<br />4700:4
<br />.119
<br />-9727.0
<br />5559.4
<br />10'
<br />-8057.4
<br />4157.3
<br />'--10
<br />6851:0
<br />4814.1
<br />10
<br />9750:4
<br />5587.4
<br />20
<br />8082.3
<br />4177.5
<br />20 .
<br />887913
<br />4837-8
<br />.. 20
<br />9792.0.
<br />5615.5
<br />30
<br />:8107.3
<br />4197:0
<br />30
<br />8907.7
<br />'4861.7
<br />1 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 />42390
<br />-50
<br />8965.0',4009:9
<br />'-50`
<br />9890.8
<br />6700.9
<br />-110'
<br />8182.8
<br />4259.7-
<br />115:'
<br />9993.8
<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 />5233.7
<br />4301..4'
<br />20
<br />9051.7
<br />498321
<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
<br />10025:0
<br />5817.0 '
<br />-40
<br />8285.0-
<br />4343.6'
<br />40 .-9110.3
<br />'5032.6
<br />44
<br />10059.0
<br />5846.5
<br />8310:8-
<br />4364.$
<br />50
<br />9139.8
<br />3057.G
<br />.50'
<br />1009310
<br />5575.1
<br />Corrections to be -Added (T =Tangent. E = External.)
<br />Iat.- Curve 5°
<br />Augle 10°15'
<br />20°
<br />25°
<br />30°
<br />35'
<br />40° 45', SO°.
<br />55" 60° 65° " 70P
<br />,I T=.43 .86
<br />1.30 1.74
<br />2.18
<br />2.63
<br />3.06
<br />3.60 3.95 14.40
<br />4.88 5.37 5.85 .0.34
<br />�P
<br />E=.200 .401
<br />.Bod .809
<br />1.01
<br />1.22
<br />L.43
<br />1.64 1 I.85 12.06
<br />2.28 2.50 2.73 2.96
<br />T=.40
<br />1.42 1.90
<br />2.38
<br />2.87
<br />3.34k2.542.87
<br />5- 4.84
<br />5.35 5.87 6.40 6.93
<br />IDS,* .94
<br />E=.230 .470
<br />.700 .938
<br />1.17
<br />1.42
<br />1.8514
<br />2.39
<br />2.64 2.90 3.10 3.41
<br />T=.50 1.03
<br />1.55 2.08
<br />2.60
<br />3.14
<br />8.606
<br />5.31
<br />5.96 6.43 7.01 7.50
<br />110' E=,260 .535
<br />.808 1.08'
<br />1.38
<br />1.63
<br />1.01
<br />49 2.61
<br />3.05 3.35 3.85 .3.95
<br />T=.54 1.13
<br />1.70 2.29
<br />2.88
<br />3.45
<br />4.03
<br />23 5.83
<br />6.44 7.07 7.70 8.35-
<br />115° . E =.307 .624
<br />..939 1.26
<br />1.57
<br />1.89
<br />2.21
<br />7 3.20
<br />3.b3 3.88 4.23 4:68
<br />T=.81 1.25
<br />1.88 2.52
<br />3.58
<br />3.81
<br />4.44
<br />7$ 8.44
<br />7,11 7.80 851 9.21
<br />130° $= 339 720
<br />L.08 1.45
<br />1.82
<br />2202.:833
<br />3.72
<br />4.10 4.50 4.91 863
<br />0
<br />
|