|
VI TAbrE:I^. :Tangents,aiidExternals to a-1°:Curve::'
<br />C120rd'.=100-ft
<br />Int.,
<br />Angle
<br />TansenY.
<br />External
<br />Infie
<br />•Ans
<br />45° 50° 55° 69°i 65° 70°
<br />a.3
<br />External
<br />l'A z;ie"�
<br />,TangeuC
<br />External
<br />85°_-'
<br />5250:3
<br />2041.7
<br />V 92"1
<br />8336.7
<br />2518'-'5'
<br />98°OCi
<br />670356
<br />3092.7
<br />10''5265.6
<br />3L5 2 3.70 4.10 -4.50 4.91 5.32
<br />2052,1
<br />j -1125310
<br />,209 .4501 .6031 .753.910 1.07
<br />1.22
<br />10''
<br />G72S`�I
<br />3107.7
<br />20'
<br />5281,0
<br />20G2.5
<br />4,.''20
<br />E =-174
<br />2543 567463'2
<br />1.43
<br />L62 P.80 1-99 2-19 2.38 2.53
<br />3122.9
<br />30
<br />5?9G.4
<br />2073.0
<br />( , 31
<br />8115.1
<br />2556 0
<br />x301
<br />67C8 1
<br />3138.1
<br />40
<br />1311.9
<br />2083.5
<br />I x•'4
<br />'
<br />4.35 4.84 5.35 5:87 1:46 6.93
<br />2568-6
<br />..140:
<br />G788.1,
<br />3153.3
<br />50'
<br />5327:4
<br />2094.1
<br />50=
<br />6020.2
<br />j2581.3
<br />i.C50'
<br />GSOS.2
<br />31.68.7
<br />86
<br />5343.0
<br />2101.7
<br />4 03"
<br />6037:8
<br />. 2594:0
<br />f
<br />!100 i
<br />6828.3
<br />3184.1
<br />t 10
<br />5358.0
<br />2115.3
<br />10.
<br />16055.4
<br />2606.8
<br />..'10:
<br />' 6848.5
<br />3199.6
<br />20:
<br />5374.2
<br />212E.0
<br />• 20.
<br />,6073:1
<br />2610.7
<br />i '20
<br />` 0863.8
<br />3215.1
<br />30
<br />5889.9
<br />2130. 7
<br />- 30
<br />16090.8
<br />2632,6
<br />30.
<br />0889:2
<br />3230.6
<br />40
<br />5405.0
<br />2147-5
<br />-'40
<br />6108.6
<br />2645..5
<br />;._40
<br />. 6909.6
<br />3346.5
<br />50
<br />.5421.4
<br />2158.4
<br />- 50
<br />6126:4
<br />2658,5
<br />50.
<br />6930.1
<br />32G2.3
<br />87
<br />5437.2
<br />2169.2
<br />94.
<br />'6444.3
<br />'2671:-6
<br />101
<br />695056
<br />3278.1
<br />10
<br />5453.1
<br />'5169.0
<br />21SO. 2
<br />510_
<br />.6162.6
<br />2684.7
<br />..;-10'
<br />6971:3
<br />329.1.1
<br />' 20
<br />`7010 4-
<br />2191.1
<br />;20
<br />6.180.2
<br />,2697.9
<br />20-
<br />6992.0
<br />3310.1
<br />30
<br />s
<br />.5484.9
<br />2202.2
<br />130.
<br />6198.3
<br />2711.2
<br />30
<br />7012,7
<br />3326.1
<br />' 40
<br />4
<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 />Sk3'.
<br />:5533.1
<br />2235.5
<br />95-
<br />6252.8
<br />• 27517,3
<br />102--
<br />7075:3
<br />3374.9
<br />10
<br />--5549.2
<br />2246,1
<br />in
<br />G271,1
<br />2704.8
<br />10
<br />709G.G
<br />3391.2
<br />20
<br />5565;4
<br />225S
<br />/_ 20
<br />6239..4
<br />2778.3
<br />20
<br />7117'8
<br />3407.7
<br />''•' 30
<br />5581.6
<br />:A
<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 />.-46.
<br />-7160.3
<br />3440.0
<br />50
<br />5614'.2
<br />2292.0
<br />50
<br />6344:8
<br />2319.4
<br />y. 'a0"
<br />'7181.7
<br />3457.6
<br />89
<br />5630.5
<br />2303.5
<br />96:
<br />6363.4
<br />2S33-2
<br />103-"
<br />7203:2
<br />3474.4
<br />10
<br />5646.9
<br />2315.0
<br />10
<br />6,38211'
<br />2847.0
<br />:10`
<br />7224.7
<br />3491.3
<br />20
<br />5603.4
<br />232G.G
<br />20
<br />6100:8
<br />2861.0
<br />.. 20
<br />7246:3
<br />3503.2
<br />- 30
<br />5619.0
<br />2338.2
<br />30'
<br />6119:5
<br />2875.0
<br />1..•`30'
<br />72US: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 />3713.0
<br />2361.5
<br />'50
<br />6457:3
<br />2903.1
<br />_. 50.
<br />7311.7
<br />3559,G
<br />9b
<br />"5729.7
<br />2373:3
<br />97
<br />6476.2
<br />2917.3
<br />104
<br />7333.0
<br />3576.8
<br />10
<br />5746:3
<br />'5763.1
<br />2385.1
<br />10'
<br />6495.2
<br />2931.6
<br />-..10
<br />7355.6
<br />3594.2
<br />--'20
<br />•'-30
<br />2397.0
<br />_. 20•
<br />G514.3
<br />2945,9
<br />"20'
<br />-737718
<br />3611.7
<br />'
<br />5,779.9
<br />2408.0
<br />•.30
<br />G533,4
<br />2960.3
<br />30
<br />7399,9.
<br />3629.2
<br />40
<br />5796-7
<br />2420.0
<br />40
<br />G552,6
<br />2974.7
<br />40:
<br />'7422.2'
<br />3646.8
<br />50
<br />5813-G
<br />2432,0
<br />- 50
<br />6571:9
<br />2989.2
<br />_.'.50'
<br />1444. 6
<br />3664.5
<br />91"
<br />583D.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 />3918.4
<br />)-.'.10
<br />7-189.G
<br />3700.2
<br />20
<br />5364'.6
<br />2469,3
<br />20
<br />6630.1
<br />3033.1
<br />20
<br />7512.2
<br />371,8.2
<br />30
<br />.'5381.7
<br />2451.5
<br />.30
<br />6649.6
<br />3047.9
<br />30-
<br />•7534.9
<br />3736.2
<br />40
<br />5895.8
<br />2493-8
<br />40:
<br />'6669.2
<br />3062.$
<br />40
<br />8754.4
<br />S0
<br />59]6.0
<br />2506.1
<br />50:
<br />GGSS.S
<br />3077.7
<br />_
<br />50,
<br />.7557.7'
<br />75SO.5
<br />3772-6
<br />= Corrections to be Added (T =Tangent. E. =External:) -.
<br />.Acgle
<br />Curve j°,-,10°..
<br />Ij° 20° 25° : 30° 35°
<br />40°
<br />45° 50° 55° 69°i 65° 70°
<br />35°
<br />T=X
<br />AS 1.00 1.33 1.68 2,02 2,36
<br />2.70
<br />3.05 3.40 3.77 4:14 4.5.1 4,39
<br />7603.5 i,
<br />li=.126
<br />259 .3911 824 .6571 .790 .926�1.Ufi
<br />8336.7
<br />1.20 '1:34 1:47 .1.62 1.7fi 1-91
<br />90°
<br />T=36
<br />1
<br />.72 1.09 1.45 1.83 2.20 2.57
<br />2.94
<br />3L5 2 3.70 4.10 -4.50 4.91 5.32
<br />3S09 -A,
<br />E=.149
<br />,209 .4501 .6031 .753.910 1.07
<br />1.22
<br />1.3311-54 1,70 1.67 2,03 2.20
<br />95'
<br />T=30
<br />.70 1.19 1:55 2.00 2.40 2.30
<br />3.20
<br />3.61 4 C12 4.49 4,98 5.38 5.83
<br />4,.''20
<br />E =-174
<br />.350 ,522 .706 .985 1.06 125
<br />1.43
<br />L62 P.80 1-99 2-19 2.38 2.53
<br />5.85 6.34
<br />T =,43;.86
<br />1.30 1.74 12.39 2.E3 3506
<br />3.50
<br />3.05 4.40 4.68 5.37 5.85 6-34
<br />8115.1
<br />E =.2C0
<br />.401 .601 :809 1 -OL I-22 1.43
<br />1.fi4
<br />1.85 2.06 '2.28 2.50 2.73 2-96
<br />105°
<br />T=.16
<br />,94 11.42 1 "0 2.39 2.67 3.34
<br />3.84
<br />4.35 4.84 5.35 5:87 1:46 6.93
<br />.94 142
<br />E =.230
<br />.470 .700 938 1.17 1.42 1.65
<br />1. 0
<br />2.Ih 2.30 2.G4 2.90 3.16 3.41
<br />TABLE I. 'Tangents and 'Externals to a 1 Curve.
<br />�2.� ..-•- ' (',hard =1.06 it.
<br />Angle,
<br />-Tangent
<br />ExLernal
<br />A gle,
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent,
<br />External
<br />100°,1!,
<br />7603.5 i,
<br />3791.0
<br />111°
<br />8336.7
<br />43SG.1
<br />116°
<br />9169.4
<br />`
<br />5082.7:,
<br />10'-'
<br />7626A',
<br />3S09 -A,
<br />' 10'
<br />8362.7
<br />; 4407. G
<br />10'
<br />.9199.1:
<br />5107:9
<br />20
<br />;
<br />-,7649,7r
<br />3827 0,
<br />4,.''20
<br />8388 9
<br />4429.2'
<br />20-'
<br />9229.0 ,,5133.3
<br />5.85 6.34
<br />30'
<br />7672.9.
<br />384G.5
<br />30.
<br />8115.1
<br />4450.9
<br />30
<br />9259.0
<br />5158.8
<br />40"
<br />76968 -.:3865.2
<br />2.73 2.96
<br />40
<br />,8441.54472.7
<br />.94 142
<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 />9319.5
<br />5210`3,
<br />107`7743:2..3902.9
<br />A,
<br />1.42
<br />112
<br />8494:0
<br />.4516:61
<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 />0380.'5-
<br />5262.3
<br />20;
<br />5.86 6.43
<br />3940.9•
<br />20
<br />8548.1
<br />4561.1
<br />20 „
<br />0411.3
<br />52SS.G
<br />30;i
<br />.7790.5
<br />7514.3
<br />3960.1
<br />30
<br />8575.0
<br />4583.4
<br />30
<br />9442.2.
<br />5315.0 ,
<br />40 :''7838:1':
<br />2.85
<br />391-0.4
<br />' 40'
<br />''.,0
<br />8602:1
<br />-'SG-.
<br />4600.0
<br />-.40
<br />':. -'50
<br />9473:2.
<br />'4-';
<br />.5341.5=
<br />.' 50.
<br />7SG2.1`
<br />39 98:7,;
<br />-
<br />9 3.
<br />.4G2S:G
<br />2.21
<br />9504
<br />;5368.2
<br />3.20
<br />3.53 3.88
<br />4.23 4.58
<br />'
<br />T =-01
<br />1.25 1.89
<br />2.52
<br />3.16
<br />3.81
<br />108 " !
<br />78$6 2'
<br />4018 2
<br />'313: ' 1
<br />8C,5G 6•
<br />4651 3
<br />. 118.'
<br />' 9535 7
<br />;,539.5`. 1
<br />.
<br />'10!
<br />`7010 4-
<br />4037.8,
<br />10
<br />•8684 0
<br />4674.2
<br />'4697;.'2•+
<br />10.
<br />9567.2 .'5422.1
<br />`5449.2,^,
<br />20
<br />7934.6
<br />9057.•1'-
<br />20.
<br />S711.a
<br />20
<br />9598.9"
<br />30
<br />7959:Q
<br />'4077.2
<br />30
<br />8739.2.
<br />.'4720.3
<br />- .301'
<br />9630.7:-:5476:5
<br />d0
<br />798315
<br />4097.1
<br />'40
<br />876;7.0;
<br />14743,0•
<br />40.:9662.Gf'I
<br />'
<br />504•:0
<br />50'
<br />8009.0
<br />4117•.0:
<br />.5,0
<br />8794.9:
<br />4766.0'
<br />a0
<br />9694.7
<br />:5531:7
<br />:
<br />109-
<br />8032:7
<br />4137,1,
<br />;114_..
<br />882'2,V
<br />4790.4
<br />319 -
<br />0727'.0-1
<br />1
<br />5559:4
<br />10
<br />5057,4
<br />41x7 3
<br />10
<br />8851 D
<br />4814.1
<br />10 ,19759
<br />4!;15581.4'
<br />,2b.
<br />808253,
<br />4177.5
<br />- 20;
<br />8879.3
<br />4837.8
<br />201
<br />.0792.0'
<br />•5615:5
<br />:-30
<br />8107:3.
<br />-4197,:4
<br />30
<br />$907.7
<br />4561:7
<br />30,:
<br />-901-
<br />9824.8
<br />;5643.8
<br />40
<br />8132.3.:
<br />421$.4
<br />40
<br />.8936-3
<br />`488,5.7
<br />:
<br />"9857:7'
<br />5672:
<br />50:
<br />8157:5,
<br />'i
<br />4239.0
<br />- 50
<br />-8965.0.
<br />4909.0
<br />50"•
<br />9590'.8
<br />'5700.9
<br />i
<br />110'`
<br />518 8':
<br />'4259.7.
<br />115 ;
<br />8993.8
<br />.4934'.1
<br />120
<br />9924 0.:
<br />3729,7
<br />10..
<br />"820S.2'•
<br />4280.5
<br />-10
<br />9022:1'
<br />4958.0
<br />10 :;
<br />'20
<br />9957.5-'5758.6
<br />9991',0;
<br />5787.7
<br />20 .''8233..7:
<br />4301.4•
<br />20
<br />9051.7
<br />'9080.9.
<br />-4983.11
<br />-
<br />30
<br />10025.0
<br />5817`.0
<br />'30-
<br />S259.3
<br />'4322.4
<br />'_30
<br />.50071.81.
<br />- '40'••
<br />40--.
<br />8285'.0'•4343,07
<br />40
<br />01]0.3
<br />5032.6
<br />10059.0:•.
<br />5846.5
<br />'
<br />50
<br />8310.8.
<br />4304-8'
<br />50
<br />0130:8
<br />5057.61
<br />50
<br />OU93.0
<br />5876.1
<br />: Corrections to be Added (T=Tangent. E =External.)
<br />5°
<br />10° 15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />49°
<br />45°
<br />50°
<br />55° 60°
<br />65° 70°
<br />Angle
<br />',Curve
<br />T=.43
<br />AG 1.30
<br />1,73
<br />2,18
<br />2.02
<br />3.06
<br />3.50
<br />3,95
<br />4.40
<br />4.88 5.37
<br />5.85 6.34
<br />f,200
<br />.401 .604
<br />:809
<br />1.01
<br />1:32
<br />1.43
<br />1:G4
<br />1,85
<br />� MO
<br />2.29 2.50
<br />2.73 2.96
<br />T=.46
<br />.94 142
<br />1.00
<br />2.38
<br />2.87
<br />,3.34
<br />3.84
<br />4.35
<br />4.S4
<br />5.35 0.87
<br />0.40 6,93
<br />145°
<br />E=.230
<br />AM .700
<br />.038
<br />1.17
<br />1.42
<br />1.65
<br />1.90
<br />2.14
<br />2.39
<br />2.64 2.90
<br />.3.41-
<br />3.16 3.41.
<br />T=.50
<br />1.03 1.56
<br />2.08
<br />2.60
<br />3.14
<br />3.66
<br />4.21
<br />4.76
<br />5.31
<br />5.86 6.43
<br />7.01 .7.50
<br />]LO°
<br />F =.2G0
<br />.535 .803
<br />1.08
<br />1.35
<br />1.53
<br />1,91
<br />2.19
<br />2.49
<br />2.61
<br />3.05 3.35
<br />9.G5 3.95
<br />T =.54
<br />1.13 1.70
<br />2.24
<br />2.85
<br />3.45
<br />4-03
<br />4.63
<br />5.23
<br />5.83
<br />6.44 7.07
<br />7.70 8.35
<br />115'
<br />E =.307
<br />.624 ,030
<br />I.2G
<br />1.57
<br />1.89
<br />2.21
<br />2.54
<br />2.87
<br />3.20
<br />3.53 3.88
<br />4.23 4.58
<br />'
<br />T =-01
<br />1.25 1.89
<br />2.52
<br />3.16
<br />3.81
<br />4.41
<br />5.11
<br />5.78
<br />0.44
<br />7.11 7.80
<br />8.51 9.21
<br />120°
<br />1 =,339
<br />.720 1.08
<br />1.45
<br />1.82
<br />2.20
<br />2.::G
<br />2,05
<br />3.',3
<br />3.72
<br />4.10 4.50
<br />4.91 5.32
<br />
|