|
VY TASIA L- Tangents,aud:Externals to -a 1° Curve
<br />Chord =100 • ft.
<br />Angle'-
<br />Tangent
<br />External
<br />Int..
<br />rAngle.:
<br />Tangent)
<br />External
<br />Int. -_
<br />• Angle '
<br />Tangent
<br />External
<br />7
<br />5250.3
<br />2041-.7
<br />92°
<br />5933.2
<br />2518.5
<br />09°:':
<br />6708.6
<br />3092.7
<br />101
<br />"-5265.6
<br />2052.1
<br />101
<br />5950:5
<br />2531.0
<br />"'101
<br />'672814
<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 />30
<br />5296.4
<br />2073.0
<br />30;
<br />5985.3
<br />2556.0
<br />30
<br />6768.1
<br />3138.1
<br />1." 40
<br />5311,9
<br />2083.5
<br />.,40`
<br />6002.7
<br />2568.6
<br />4Q-6788.1
<br />2.14 2.39
<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 />5343.0
<br />2104.7
<br />93 '
<br />6037.8
<br />2594.0
<br />100-"'
<br />6828.3,
<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 />6073:1
<br />2619.7
<br />20
<br />6868.8
<br />3215.1 i
<br />30
<br />5389.9
<br />2136.7
<br />:30
<br />6090.8'
<br />2632.6
<br />30
<br />'6889.2
<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 />F.?:50
<br />5421.4
<br />2158.4
<br />7,.50.
<br />6126:4
<br />2658.5
<br />-"50
<br />6930.1,
<br />3262.3
<br />108
<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 />5453.1
<br />2180.2
<br />-10.
<br />6162:6
<br />2684.7
<br />10
<br />6971.3
<br />3294.1
<br />,',120
<br />5469.0
<br />2191.1
<br />i-:20;
<br />6180.2
<br />2697.9
<br />20
<br />.6992 0
<br />3310.1 ,
<br />30
<br />.54841 9
<br />2202.2
<br />..30`
<br />6198.3
<br />2711.2
<br />'30'
<br />7012.7
<br />3326.1
<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 />;60'
<br />6234,6
<br />2737.9
<br />50,
<br />7054.5
<br />3358.5
<br />BB.L;S
<br />5533:1
<br />2235.5
<br />95
<br />6252,8
<br />2751.3
<br />102=
<br />7075:5
<br />3374.9 .
<br />110
<br />'5549,2
<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 />:,.-,20 -
<br />6289:4
<br />2778.3
<br />20
<br />7117:8
<br />3407.7
<br />•:30
<br />6581.6
<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 />2280.6
<br />,40;
<br />6326 3
<br />2805.6
<br />40'
<br />7160.3
<br />3440.9
<br />60;
<br />5614.2
<br />2292.0
<br />.50,
<br />6344,8
<br />2819.4
<br />'50'
<br />.7181:7
<br />3457.6
<br />89_
<br />5630.5
<br />2303.5
<br />W-,
<br />6363.4
<br />2833.2
<br />103:_
<br />7203:2
<br />3474:4
<br />10,
<br />5646.9
<br />2315.3
<br />';(10
<br />6382:1
<br />2847,0
<br />10
<br />7224.7
<br />3491.3
<br />20,
<br />5663.4
<br />2326.6
<br />..,201
<br />6400:8
<br />2861.0
<br />20
<br />7246:3
<br />3508.2
<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 />.,80.
<br />y , 40_
<br />5696.4
<br />2349.8
<br />:40'
<br />6438,4
<br />2889.0
<br />:40'
<br />7289:8 1
<br />3542.4
<br />"."50
<br />5713:0
<br />2361.5
<br />!..'50-
<br />6457..3
<br />2903.1'
<br />; . "150.
<br />7311.7
<br />3559.6
<br />90'":";
<br />5729.7
<br />2373.3
<br />97, .
<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 />6495:2
<br />2931.6
<br />'.• 10
<br />7355:6
<br />3594.2
<br />,t
<br />=x20
<br />5763.1
<br />2397.0
<br />20,
<br />6514.3
<br />2945.9
<br />ti.•'M
<br />'7377:8'
<br />3611.7
<br />30,
<br />577919
<br />2408.9
<br />30:
<br />:6533:4
<br />2960.3
<br />301
<br />-7399.9
<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 />3646.8
<br />50'
<br />5813.6
<br />2432.9
<br />50;
<br />6571:9
<br />2989.2
<br />.501
<br />7444.6
<br />3664.8
<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 />5847.5
<br />2457.1
<br />10
<br />6610.6
<br />3018.4
<br />'"10
<br />7489;6
<br />3700.2
<br />.10
<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 />7534;9'
<br />3736,2
<br />40
<br />'5898.8
<br />2493.8
<br />-40
<br />6669.2
<br />3062.8
<br />i ' 40'
<br />.7557,7
<br />3754.4
<br />SO
<br />5916.0
<br />2506.1
<br />50;
<br />6688.8
<br />3077.7
<br />50'
<br />7580,5'
<br />3772.6
<br />i
<br />Corrections to -be Added (T=Tangent:•-+E.=External-.) ,
<br />Ingle. -Curve 5° 10° 15° '20° 25° 30°
<br />35° 40°
<br />45° 50°
<br />.55° I
<br />60]: :65- 70°
<br />T=.33 .66 1.00 1.33 1.68 2.02
<br />2.36-12.70
<br />3.05 3.40
<br />:3.77•
<br />4.14 '4.55 4.89
<br />E=.128 .259 .391 .524 .657 .790
<br />-.926 1.06
<br />1.20 1.34
<br />1:47"
<br />1.62. 1.76 1.91
<br />T=.36 1.09 1.45 1.83 2.20 '12.57
<br />2.94'
<br />3.32 3.70'
<br />4.10
<br />4.50 "4.91' 5.32
<br />90° .72
<br />E=.149 .299 .450 .603 '.756 .910.
<br />1.07 1.22
<br />1:38 1:54:".70
<br />`• 4407.6
<br />1.87 .2:03 2.20
<br />95° T=.39 .79 1.19 1.55 2.00 2:40
<br />2.80 3.20
<br />3.61 '4.02
<br />4.49
<br />`4:98 5:38 5;53
<br />E=.174 .350 :522 .706 .985 1.06
<br />1.25 1.43
<br />1:62 1.80
<br />1.99
<br />2.18 _2.38 2.58
<br />j6o T=.43 .86 1.30 1.74 12.18 2.62
<br />13.06 3:50
<br />3.95 '4.40
<br />4.88
<br />'5.37. 5.85 6.34
<br />E=.200' .401 .604 A 9 1.01 1.22
<br />1.43 1.64
<br />1'.85 2:06
<br />2.28
<br />2:50 2.73 2.98
<br />T=.48 .94 1.42 1.90 2,38 2.87
<br />3.34 3.84
<br />4.35 4.84
<br />'5.35
<br />5.87, 6.40 6.93
<br />2.90 3.41
<br />E=.230 .470 .700 .938 1.17 1.42
<br />I 1;90
<br />2.14 2.39
<br />2.64
<br />"3.16
<br />TABLE I.. - Tangents, and. Externals to a-1° Curve. VU
<br />-
<br />Chord'-- 100 ft.�
<br />-Int,.,
<br />Angle
<br />,Tan ent
<br />S
<br />External
<br />- .
<br />.. Int.
<br />Angle
<br />Tan ent
<br />-g
<br />External'
<br />'Int. :
<br />, Angle •
<br />'Tan ent
<br />g
<br />.Eaternal
<br />106°!•
<br />,7603:5-
<br />3791.0
<br />111°
<br />8336.7
<br />.4386.1
<br />'l16°,'--.9169.4
<br />'Curve 5°
<br />,
<br />5082:7
<br />_ 101•;
<br />:7626:6
<br />3809.4
<br />10�'
<br />8362.7
<br />`• 4407.6
<br />10'.,
<br />9199:1;'
<br />15107.9
<br />c 20 .-7649.7
<br />65°
<br />3827.9
<br />-.20
<br />8388:9
<br />- 4429.2
<br />20:'-
<br />,
<br />9229.0_
<br />;5133.3
<br />2.62
<br />7672.9
<br />3846.5
<br />301,
<br />8415.1
<br />4450.9
<br />", 30 ',9259,0..5158.8
<br />5.85
<br />6.34
<br />40
<br />7696.3
<br />3865.2
<br />40
<br />8441.5
<br />1.01
<br />40
<br />9289.2
<br />5184.5
<br />._ 50
<br />7719.7
<br />3884.0
<br />50'
<br />8468.0
<br />_•4472.7'-
<br />.4494.6
<br />50-
<br />,9319.5
<br />5210.3:
<br />107
<br />'7743.2'
<br />3902.9
<br />112+:
<br />;8494.6'4516.6
<br />3.84
<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 />3.16
<br />.5288.6
<br />-•.30
<br />7814.3'
<br />3960.1
<br />30
<br />8575.0
<br />4583.4
<br />,.'9411.3
<br />30
<br />9442,2
<br />.5315.0
<br />40.
<br />:7838.1
<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 />'9504,4
<br />'5368.2
<br />108
<br />7886.2
<br />.4018.2
<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 />8684:0
<br />-4674.2
<br />- 10
<br />-9567.2
<br />'5422.1,
<br />20.
<br />7934.6':4057.4
<br />.939
<br />20.":
<br />8711:5
<br />:4697.2
<br />:20
<br />9598.9
<br />5449.2
<br />..30 ''•7959.0:
<br />3.53
<br />4077.2
<br />30
<br />8739.2
<br />4720.3
<br />•••30
<br />1.25
<br />.5476.5
<br />•..:40
<br />'7983:5
<br />4097.1
<br />40
<br />8767.0
<br />,4743.6
<br />_-9630.7
<br />= 40
<br />-9662.6,
<br />5504.0
<br />;..50
<br />8008.0
<br />4117.0
<br />50
<br />8704:9..4766.9
<br />1.45
<br />50•:
<br />9694,7
<br />5531.7
<br />109,
<br />8032.7
<br />[4137:1
<br />114 -•
<br />8822.9
<br />4790.4
<br />119
<br />9727.0;x5559.4'•
<br />10'
<br />8057
<br />4157:3
<br />10
<br />8851:6'
<br />4814:1
<br />-10
<br />9759.4
<br />5587.4-
<br />20`;
<br />8082.3'
<br />4177.5.
<br />"•'20"
<br />8879:3"'4837:8
<br />20
<br />9792,0
<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 />40
<br />;8132.3
<br />4218:4•
<br />- 40
<br />8936:3
<br />48857
<br />40
<br />9857.7",
<br />5672.3
<br />60 ,
<br />.8157.5
<br />4239.0
<br />;50
<br />8905:0•'4909:9
<br />50"
<br />9890.8
<br />5760.9
<br />1101,%-."8182.8
<br />'4259:7
<br />115-
<br />8993.8-'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'"4301:4,
<br />20
<br />9051.7.
<br />.1
<br />20
<br />9991•,-0"`5787.7
<br />30.
<br />8259.3
<br />'4322.4"
<br />30
<br />9080.9
<br />.4983
<br />5007:8.
<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 />5846.5
<br />50
<br />8310.8
<br />4364:8
<br />50
<br />•9139.8"
<br />5057.6''
<br />50 ,
<br />10093.0
<br />5876.1'
<br />Corrections to be.Added (T Tangent. E=External.)
<br />Int.
<br />Angle
<br />'Curve 5°
<br />,
<br />10°
<br />IF
<br />20'
<br />25°
<br />30°
<br />"35'
<br />40'
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />T=.43
<br />86
<br />1.30
<br />1.74
<br />2.18
<br />2.62
<br />3.06
<br />3.50
<br />3.95
<br />4.40
<br />4.88
<br />5.37
<br />5.85
<br />6.34
<br />E=.200
<br />.401
<br />.604
<br />.809
<br />1.01
<br />1.22
<br />1.43
<br />1.64
<br />1.85
<br />2.06
<br />2.28
<br />2.50
<br />2.73
<br />2.96
<br />105°'.,
<br />T=.46
<br />.94
<br />1.42
<br />1.90
<br />2.381
<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 />.; E=.230
<br />:470
<br />.700
<br />.938
<br />1.171
<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 />3.41
<br />110°
<br />T=.50
<br />1.03
<br />1.55
<br />2.08
<br />2.60
<br />3.14
<br />3.66
<br />4.21
<br />4.76
<br />5.31
<br />5.86
<br />6.43
<br />7.01
<br />7.59
<br />I .•• E=.260
<br />:535
<br />.808
<br />1.08
<br />1.36
<br />1.63
<br />1.91
<br />2.19
<br />2.49
<br />2.61
<br />3.05
<br />3.35
<br />X3.65
<br />3.95
<br />1150
<br />T=.54
<br />1.13
<br />1.70
<br />2.29
<br />2.86
<br />3.45
<br />4.03
<br />.4.63
<br />5.23
<br />5.83
<br />6.44
<br />7.07
<br />7.70
<br />8.35
<br />E =.307
<br />x624
<br />.939
<br />1.26
<br />1.57
<br />1.89
<br />2.21
<br />2,54
<br />2.87
<br />3.20
<br />3.53
<br />3.88
<br />4.23
<br />4.58
<br />12Do .
<br />,• T=.6F
<br />1.25
<br />1.89
<br />2.52
<br />3.16
<br />3.81
<br />4.44 5.11
<br />5.78
<br />6.44
<br />7.11
<br />7.80
<br />8.51
<br />9.21
<br />,,.720
<br />1.08
<br />1.45
<br />1.82
<br />2.20
<br />2.56:
<br />2,95
<br />3.33
<br />-3:72
<br />4.10
<br />4.501
<br />4.91
<br />5.32
<br />
|