|
II' TABLE I. - Tangents and Externals to a 1° Cve
<br />ur.
<br />Chord= 100 ft.
<br />Angle
<br />Tangent
<br />External
<br />,Ang, ,
<br />Tangent
<br />Extern,
<br />Iasle
<br />Angle
<br />W
<br />External
<br />1°
<br />50:00
<br />T22 '!
<br />84
<br />400:'66
<br />13.99
<br />15°
<br />'754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14.58
<br />10'
<br />762.80
<br />50.55
<br />'20
<br />--66.67
<br />'i• 39
<br />20
<br />"417.4115.18'
<br />_.002 .002
<br />20',
<br />*771 29
<br />51. G8
<br />30
<br />p 75.01+-
<br />".40
<br />"30-•
<br />•425.79
<br />15,80•
<br />30 '
<br />479.77
<br />52.82
<br />40.
<br />83,34
<br />.61
<br />40
<br />434.17
<br />16.43
<br />40
<br />-788:26
<br />53.97
<br />50"
<br />91.68
<br />73.
<br />50
<br />1442;55
<br />.-17.07
<br />50
<br />796.7
<br />55.13
<br />$
<br />100.01
<br />87•
<br />< 0,.
<br />4.50.93
<br />17.72
<br />',16
<br />805.25
<br />56.31
<br />10,
<br />-108.35
<br />..1.02;,
<br />;' 10
<br />.4:59:32
<br />18.38-�
<br />-10
<br />.813.75
<br />57.50
<br />20'
<br />.32 .39
<br />1 10':
<br />•(-20'
<br />457.71
<br />19.06-,
<br />. ." 20
<br />S22:25'
<br />58.7U
<br />. 30....125.02
<br />.116.GS;
<br />'1:36•,.
<br />--30
<br />476.10
<br />19.75
<br />.30 '
<br />S30.76
<br />59.91.
<br />. -40
<br />133:3(''
<br />,1.55
<br />-•40 v
<br />48449
<br />20:45'
<br />'21:10
<br />,40 .
<br />839.27
<br />61.14
<br />50
<br />'141:70
<br />: r.1.75 ;
<br />' ' 50 r
<br />. 492.88
<br />.055
<br />50:.
<br />-'847:78
<br />62.3$
<br />.120
<br />150.04
<br />' 1.96
<br />YO
<br />""501. 28
<br />21:89
<br />17
<br />856:30
<br />63.63
<br />."
<br />168.38
<br />,'
<br />2.19
<br />10
<br />509.68
<br />22.62
<br />10
<br />864.82,
<br />64.90
<br />20
<br />166.72
<br />2.43
<br />20
<br />518.,08
<br />23.35
<br />.20'
<br />873:35
<br />66,18
<br />30
<br />175.06
<br />2.67
<br />.30
<br />526.48
<br />.- 24.14
<br />30
<br />881.88
<br />67.47
<br />40
<br />183.40
<br />2.93
<br />.40
<br />534,89'
<br />24.91
<br />40
<br />890.41
<br />68,77
<br />50
<br />107.74
<br />3.21.
<br />- 50
<br />543.29.
<br />25.70
<br />50
<br />898.95
<br />70.09
<br />4
<br />200.08
<br />3.49'
<br />11 -
<br />551.70
<br />20.50
<br />18
<br />907.49
<br />71,42'
<br />10
<br />208.43
<br />3.79
<br />10
<br />560:11
<br />27.31
<br />to..
<br />916.03
<br />72,76
<br />20
<br />216.77
<br />4.10
<br />20
<br />568.53
<br />28.14
<br />20
<br />924.58
<br />74.12
<br />30
<br />225.12
<br />.'4.42
<br />30'-
<br />576.95
<br />28.97
<br />30'
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.76
<br />-40
<br />585.36
<br />29.82
<br />'40
<br />941.69
<br />76.56
<br />'
<br />50
<br />241.81
<br />5.10
<br />50
<br />593.79
<br />HAS
<br />50 -
<br />950.25
<br />78.26
<br />6
<br />250.10
<br />5.46
<br />12 .-
<br />602.21
<br />3L56
<br />19
<br />958.81
<br />79.67
<br />30
<br />258.51,
<br />5:83
<br />10
<br />610.64
<br />.32.45
<br />10
<br />WAS
<br />81.09
<br />20
<br />266.86
<br />6.21'
<br />20.
<br />679.07
<br />33.35
<br />20
<br />97.5.96
<br />82.53
<br />30
<br />276.21
<br />6.61'
<br />30
<br />027.50
<br />34.26
<br />'30
<br />984.53
<br />83.97
<br />40
<br />283.57
<br />_
<br />7.01
<br />40
<br />035.93
<br />35.18
<br />40
<br />993.12
<br />85.43
<br />50
<br />201.92
<br />.7.43-...:
<br />50
<br />-044.37
<br />36.12
<br />50-'1001.7
<br />86.90
<br />6
<br />-300.25
<br />7.86
<br />.13
<br />652.81
<br />37.07
<br />20 • _
<br />1010:3
<br />8S.39
<br />10
<br />'308.64
<br />8,31
<br />10
<br />661.25
<br />38.03
<br />10
<br />1018.9
<br />89.89
<br />26 '
<br />316.99
<br />8.76
<br />20
<br />669.70
<br />39.01
<br />20
<br />1027.5
<br />91,40
<br />30
<br />325.35•
<br />9.23
<br />30
<br />G78.15
<br />39.99
<br />30
<br />1036.1
<br />02,92
<br />40-
<br />333.71
<br />9.71
<br />40
<br />686.60
<br />40.90
<br />40
<br />1044.7
<br />04.46
<br />60'
<br />342.08,.
<br />10.20'
<br />50
<br />'695.. OG
<br />42.00
<br />50
<br />1053.3
<br />06.01
<br />7
<br />350.44
<br />10.71
<br />14
<br />703.51
<br />43.03
<br />21
<br />1061.9
<br />97.57--
<br />10
<br />f
<br />11.22_
<br />10
<br />711.97
<br />44.07
<br />10
<br />1070.6
<br />99.16
<br />- 20
<br />.358.81.
<br />367.17.
<br />11.75
<br />20
<br />720.44
<br />45.12
<br />20
<br />1079' 9'
<br />100.75
<br />30
<br />375.54
<br />177.55
<br />30
<br />728.90
<br />46.18
<br />30
<br />1087.3
<br />102,35
<br />40
<br />383.91
<br />.12.29
<br />12.85.
<br />40
<br />787..37
<br />47.25
<br />40
<br />1096.4
<br />103.07
<br />50
<br />392.28
<br />13.41
<br />50
<br />745:85
<br />48.34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T=Tangent. E=External.)
<br />hat.
<br />Curve 5° LO°
<br />15° 20°
<br />25° 30°
<br />35°
<br />40°
<br />45° 50°
<br />55°
<br />W
<br />65
<br />701.
<br />1113:7
<br />107:24'
<br />-29?'-
<br />1481.8
<br />1SS.51
<br />360 "'1861.7
<br />25° 30°
<br />294.9
<br />10'
<br />,1122.4
<br />T=.02 .03
<br />.05 .06
<br />.08` .10
<br />.11
<br />.13
<br />'.003
<br />.15 .1fi
<br />:18
<br />.20
<br />.21
<br />.23
<br />5°
<br />B=.000 .000
<br />.001 .001
<br />_.002 .002
<br />.002
<br />.'1880.1
<br />..003 .004
<br />.004
<br />.001
<br />•005
<br />•005
<br />° T=.03 .06
<br />.09 -.13
<br />.16 .19
<br />.22
<br />.25
<br />-.28. .31
<br />.34
<br />.38
<br />.42
<br />.46
<br />10 E =.001 .003
<br />.004 .006
<br />.007 .U08
<br />'.009
<br />.011
<br />.012 .014
<br />.015
<br />.017
<br />.018
<br />A20
<br />o T-.04 .l0
<br />-14 .10
<br />.24 .29
<br />_34
<br />.30
<br />45 .51
<br />'.53
<br />.58
<br />.63
<br />•63
<br />15 1;=.003' .007
<br />.010 .014
<br />.U18 •-023
<br />.027
<br />.029
<br />.032 .035
<br />.039
<br />.043
<br />•017
<br />•�1
<br />o T=.46 .13
<br />.19 .26
<br />.32 .39
<br />.45
<br />.51
<br />.B '.U5
<br />.72
<br />'.79
<br />.8"s
<br />318.1
<br />20 E =.006 011
<br />1191.8
<br />.028 .034
<br />.038
<br />.415
<br />.051, .057
<br />.063
<br />.070
<br />.Oi6
<br />=�?
<br />Za° T =.U3 .16
<br />.017 .02;.'
<br />.24 .3
<br />.40 .49
<br />.58
<br />.67
<br />.75 .83
<br />.00
<br />.99
<br />1.00
<br />1 135
<br />E =.009 .018
<br />.027 .030
<br />.040 .056
<br />.055
<br />.074
<br />.083 .093
<br />.106
<br />.120
<br />.127
<br />128:00
<br />l Al1LE I. Tali geflts'andExt'crnal s• to a 1° Curve.- `III
<br />Ch6rd=100 ft_ _
<br />r •Int.
<br />Angle
<br />Tangent
<br />External
<br />Int. •
<br />Angle-
<br />Tangent
<br />External
<br />AnkIntle "
<br />Angle
<br />Tan evt
<br />g
<br />External
<br />1113:7
<br />107:24'
<br />-29?'-
<br />1481.8
<br />1SS.51
<br />360 "'1861.7
<br />25° 30°
<br />294.9
<br />10'
<br />,1122.4
<br />.108.90
<br />10,
<br />1490.7
<br />+190.74
<br />10'
<br />1670.9
<br />297.7
<br />_10'
<br />' 1131-.0
<br />110.57,
<br />". 20
<br />:1499.6
<br />192.99
<br />20
<br />.'1880.1
<br />300.6
<br />30
<br />1139.7
<br />,112.25'
<br />30
<br />, 1508.5
<br />195.25..,
<br />30
<br />1889.4
<br />303.5
<br />90
<br />114R:4
<br />113.95''..
<br />,'
<br />4D
<br />1517:4
<br />]97.53'
<br />4D
<br />1898.6
<br />306.4
<br />50
<br />-1157.0
<br />.115.66.
<br />50
<br />1526.3
<br />199,82
<br />50
<br />.1907.9
<br />.309.3
<br />R3
<br />-1165:7'
<br />117.381
<br />130
<br />-1535.3'
<br />202'12'
<br />37'
<br />1917.1
<br />312:2
<br />1O
<br />1174.4
<br />119.12
<br />10
<br />1544.2
<br />204.44
<br />10
<br />1926.4
<br />315.2
<br />20
<br />1183.1
<br />120.871
<br />20
<br />'1553:1
<br />206.77
<br />_.20
<br />1935.7
<br />318.1
<br />30
<br />1191.8
<br />122,63
<br />_30
<br />1562:1
<br />20'J.12
<br />30
<br />1945.0
<br />321.1
<br />{ 40
<br />•1200.5
<br />r124AI
<br />40
<br />1571.0
<br />211,48
<br />40
<br />1954.3
<br />324.1
<br />50
<br />1200.2'
<br />126.20
<br />50
<br />1580.0
<br />213,86•,
<br />60
<br />19G3.6
<br />327,1
<br />-24
<br />1217.9
<br />128:00
<br />31.
<br />1589.0
<br />216.3 I
<br />38-'
<br />1972.9
<br />330'.2
<br />10
<br />.1220.61
<br />129.82
<br />10
<br />1598.0
<br />215.7,
<br />10
<br />i 1982.2
<br />.383.2
<br />20
<br />,1235.3
<br />,131 65 1
<br />_ 20;
<br />V300_9
<br />; 221.1 1
<br />:... 20
<br />1991, 5
<br />336.3
<br />-30
<br />1244.0
<br />133.50 I
<br />, -,30
<br />1615.9
<br />; 223.5 :
<br />.,_30
<br />2000,9
<br />339.3
<br />= 40'
<br />1252.8
<br />,135.35 i
<br />.; 40
<br />1024.9'.
<br />2216.0;
<br />,", 40
<br />2010,2
<br />342.4
<br />j. 50
<br />-1261.5
<br />,137.23!
<br />.•,.'50
<br />'1633:9`,
<br />,•225.4
<br />50
<br />'2019.0
<br />345.5
<br />:25 ±
<br />1270.2
<br />139.11
<br />32'.:
<br />1643.0
<br />230.9 3
<br />39 - ''
<br />-2029.0
<br />348.6
<br />10
<br />1279:0
<br />141.01 ,'
<br />10
<br />1652.0
<br />c233.4
<br />10
<br />2038.4
<br />351.8
<br />20 '
<br />1287.7
<br />.142.93
<br />20
<br />1661.0
<br />'235.9
<br />20
<br />2047.8
<br />354.9
<br />30.1296.5
<br />144.85 j
<br />30
<br />1670.0
<br />,
<br />.235.4
<br />30 :
<br />-2057.2
<br />,.358.1.
<br />.40
<br />1305.3
<br />146,79
<br />40
<br />1679..1,
<br />-2410
<br />40
<br />20GG,6
<br />361.3
<br />50
<br />1314.0
<br />-148.75 ,
<br />,-' 50
<br />1688.1
<br />243..5
<br />.60
<br />`20'6.0
<br />364.5
<br />4
<br />;
<br />;20 -
<br />1322.8
<br />150.71 1:
<br />33
<br />.1697.2•
<br />246•1:
<br />40;'
<br />`2085.4
<br />307,7
<br />- 10
<br />1331.6
<br />-152,69
<br />_ , 10
<br />1706.3
<br />248.7
<br />•10
<br />'2094.9
<br />371.0
<br />20
<br />1340.4.
<br />154.69
<br />20
<br />1715:3
<br />251.3
<br />2D x.2104.3
<br />374,2
<br />30
<br />.1349.2
<br />156.70
<br />30
<br />1724.4
<br />253,9
<br />30
<br />2113.8
<br />377.5
<br />•`40
<br />1358.0
<br />158,72 !
<br />;40
<br />1733.5
<br />254'.5
<br />"40
<br />380.8
<br />'.50 '
<br />1366.8
<br />`160,70 i
<br />50
<br />1742.6
<br />;25'9,1
<br />50 ;
<br />_2122,3
<br />2132,7
<br />384.1
<br />17
<br />1375.6.
<br />162.81
<br />34
<br />1751.7
<br />261.8
<br />41",
<br />2142.2
<br />387:4
<br />10
<br />1384.4.
<br />164.86 1
<br />10
<br />1760.8
<br />.2&4.5
<br />'10
<br />.2151.7
<br />-390.7
<br />20
<br />1393.2
<br />165.95
<br />20
<br />1770.0
<br />'267.2
<br />20
<br />.2161.2.
<br />"394.1
<br />30
<br />1402.0
<br />169.0.1
<br />30
<br />1779.1
<br />263.9
<br />30 '
<br />2170.8
<br />397.4
<br />40
<br />1410.9
<br />171.15 i'
<br />40
<br />1788:2
<br />.272.6
<br />,.40
<br />2180.3
<br />400.8
<br />50
<br />1419.7
<br />173.27
<br />'50
<br />17974
<br />275.2
<br />50-
<br />2189.9
<br />404.2
<br />f
<br />• 28
<br />1428:.,0
<br />175'41
<br />25
<br />1806.6
<br />27'3.1
<br />42
<br />2199.4;
<br />407.6
<br />VI
<br />1437.4
<br />177.55
<br />:,1Q
<br />1815.
<br />.254.8
<br />10
<br />2200.0
<br />'411.1
<br />20
<br />14441:3
<br />179.72
<br />20
<br />1824.9
<br />283,6 "
<br />20
<br />2218.6`
<br />414.5
<br />30
<br />1455.1
<br />181.80
<br />'30 -
<br />1834.1
<br />286.4 '
<br />:30
<br />2228.4
<br />418.0
<br />,40
<br />1464.0 -
<br />134.08
<br />-40
<br />1843.3
<br />289.2
<br />� 40
<br />2237..7
<br />421,4
<br />50
<br />1472:9
<br />186.29.
<br />.50
<br />1852.5,
<br />292.0 ;
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T = Tangent. • E = External.),
<br />Int•
<br />Angle CUr e a
<br />10 °
<br />15°
<br />20 a
<br />25° 30°
<br />3s°
<br />40'°
<br />45°
<br />50°
<br />55°
<br />60°e'65°
<br />70°
<br />29° T :00
<br />.13
<br />.19
<br />.26'
<br />.32 .39
<br />45
<br />:51.
<br />38
<br />-.65
<br />'.72.79
<br />.84
<br />.90 .
<br />L-.000
<br />:011
<br />.017
<br />.022
<br />.023 .034
<br />038
<br />.O4
<br />051
<br />.057
<br />.063
<br />.070 .076
<br />.083
<br />25°:- T=-08
<br />.16
<br />.24.33
<br />.40 .49
<br />64
<br />,67
<br />76
<br />.83
<br />.90
<br />.99 1.06
<br />1.14
<br />E -,009
<br />.018
<br />.027
<br />.036
<br />.046 .056
<br />-005
<br />.074
<br />.083
<br />-093
<br />-.106
<br />.120 .127
<br />.135
<br />T=•10
<br />19
<br />.29
<br />.39
<br />.49 .59.69
<br />.7.'9
<br />.89
<br />.99
<br />1.09
<br />1.20 1.29
<br />1.39
<br />E=.013
<br />.025
<br />.038
<br />.051
<br />.065 .078
<br />.000
<br />.103
<br />.116
<br />.129
<br />.149
<br />.170 .179
<br />,188
<br />35° T7.11
<br />.22
<br />.34
<br />.47
<br />.53 .69
<br />.80
<br />.93
<br />1,05
<br />1.17
<br />1.29
<br />1.42 1.54
<br />1.66
<br />.. " 'E=.018
<br />.035
<br />.084
<br />.072
<br />.080 .109
<br />.131
<br />.153
<br />.175
<br />.191
<br />.213
<br />_230 .247
<br />.264
<br />40° - T=.13
<br />.26
<br />.4Q
<br />.53
<br />.67 .80
<br />.93
<br />1.041
<br />1.20
<br />1.34
<br />1.49'
<br />1.64 1.79
<br />1.94
<br />E=.023
<br />.046
<br />.070
<br />.093
<br />,117 .141
<br />172
<br />.203
<br />.234
<br />.265
<br />.277
<br />.290 .315
<br />.341
<br />45° ' T-,15
<br />:30
<br />.44
<br />,60
<br />.76 .91
<br />1.06
<br />1.2t
<br />1.37
<br />1..52
<br />1.70
<br />1.87 2.04
<br />2.21
<br />E='.030
<br />.060
<br />.093
<br />.119
<br />. 53 .164
<br />.210
<br />,254
<br />.269
<br />.325
<br />.351
<br />378 .411
<br />.445
<br />
|