|
r
<br />II TABLE I. - Tangents and Externals to a 1° .Curve.
<br />Chord=100 ft.
<br />Int..'
<br />Angle
<br />Tangent
<br />External
<br />'; Int.,'
<br />Ang1Q "
<br />'
<br />Tangent
<br />. -
<br />Lxtern3l
<br />"' Int.
<br />.Angle
<br />Tangent
<br />External
<br />1°
<br />50.00-°-�•�'
<br />.22
<br />8°'.1
<br />='400: GUS
<br />z',;13.99•
<br />IW -
<br />754.32
<br />49:44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />Q9.03
<br />14.58
<br />1d
<br />762.80
<br />50:55
<br />20
<br />GG.67
<br />39,
<br />'20
<br />417.41
<br />15.18
<br />-,,20
<br />771.29
<br />-51:68
<br />30
<br />75.01
<br />-`.49
<br />30„
<br />-,4:5.79;.'"
<br />15.80
<br />.. 30
<br />779.77
<br />52,82
<br />•10
<br />83.34
<br />.61
<br />40
<br />.434.17
<br />16.43
<br />40
<br />788.20•
<br />_53.97
<br />64_
<br />:
<br />: 91.438..
<br />_ ;73,
<br />- 502.53
<br />.018
<br />17.07
<br />.50
<br />790.75.
<br />55.13
<br />24
<br />10;1.0187
<br />.34
<br />9',
<br />450 93
<br />17.,72
<br />16
<br />805.25
<br />;66.31,
<br />10'
<br />108135
<br />" -1 % 02
<br />- 10'
<br />459.-32-
<br />- -181-38
<br />10
<br />813:75
<br />-57.50
<br />20'
<br />: 116.65,
<br />1.19
<br />-20
<br />19
<br />19. OG ;
<br />,•`• 0 ; 20.:
<br />822: 25"
<br />•58.70
<br />W
<br />125:02
<br />1:36-
<br />30-
<br />.4G7.71
<br />476.10•
<br />-'
<br />, ..19:75:
<br />,-•30-.
<br />830.-701'_
<br />60.91
<br />40.
<br />133.36
<br />1.55 '
<br />40
<br />484:49`:
<br />..20.'45
<br />40
<br />. 839.27'
<br />, 'a 61 14
<br />.50"
<br />:141.70
<br />^-_ 1.75
<br />50
<br />492.88'
<br />'21.16
<br />50
<br />847:78
<br />'62.38
<br />-3 "
<br />150,04
<br />1.98'
<br />10 '
<br />501:23
<br />21.89
<br />'17
<br />856.30
<br />-63.63
<br />10 :
<br />'.158,38
<br />2.113
<br />10
<br />509:68
<br />22.62
<br />--- 20.
<br />'1864.92
<br />"64,90.
<br />20
<br />100.72
<br />2.43-
<br />20
<br />518.OS
<br />23.38
<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„534.80,
<br />1624.9
<br />24,91
<br />40
<br />890.41
<br />68.77
<br />50•
<br />191._74
<br />3.21
<br />50
<br />543.29
<br />25.70
<br />50
<br />899.95
<br />70.09
<br />4
<br />200.08
<br />3:49 ..1P
<br />,
<br />_ 551:70•`426.50,
<br />230.9 "
<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 />10
<br />;'918:03
<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 />t :30-
<br />` 576.95
<br />28.971
<br />• 30'
<br />933.13
<br />75.49
<br />40
<br />233.47'
<br />„4.76
<br />40,585:36
<br />1G79.4
<br />29,82.,=
<br />'
<br />40�
<br />941.09
<br />.70.SG
<br />50
<br />-241'.81
<br />5:.10'
<br />. `1 '50 `
<br />•593.79
<br />`30.68
<br />50
<br />950.25.
<br />78.2(i
<br />r2T
<br />`1322.8
<br />150.`71.
<br />33:
<br />1637.2
<br />246:1 '
<br />-40
<br />2085.4
<br />367.7
<br />5
<br />250.1G
<br />5.46
<br />12 7 ^ �.
<br />-602:21
<br />{ 31:56
<br />'10•
<br />958.81
<br />79:671
<br />10
<br />258.:;1
<br />5,53
<br />10
<br />0 10. 61
<br />32.45
<br />10
<br />967,38
<br />81.09
<br />20
<br />206.86
<br />.; 6.21
<br />20•
<br />480._
<br />619.07
<br />- 33.35;
<br />- 20-
<br />'975.96
<br />-62.53
<br />30
<br />275.21
<br />6.61,
<br />'40 !
<br />'627-:50
<br />'-•34.26
<br />30.
<br />"984.53
<br />63.97
<br />40
<br />283.57
<br />7.01'
<br />40
<br />,
<br />635.93
<br />35.18'
<br />-•40
<br />993.12
<br />65.43
<br />50
<br />291.02
<br />7.43
<br />50
<br />644,37
<br />36.12
<br />50
<br />'1001.7
<br />86.90
<br />R7 '
<br />1375,
<br />162.81
<br />34' +.
<br />1751:7
<br />261.8 '
<br />41•,-
<br />'2142.•2;
<br />'=387.4
<br />0
<br />300.28
<br />7.86
<br />13
<br />052.81
<br />37.07
<br />20 -
<br />1010.3.
<br />88.39
<br />10
<br />308.64
<br />8.31
<br />10.
<br />GG1'25
<br />38.03..
<br />.: 10.:
<br />1018!9 -
<br />. 89.59
<br />20'316-99
<br />•1402.0;
<br />8.76
<br />20
<br />069.70
<br />39.01,
<br />20
<br />.1027:5
<br />91.40
<br />30
<br />325:3.i
<br />9.23
<br />30
<br />678:15'
<br />39.99
<br />30
<br />10313.1
<br />92.92
<br />40
<br />333-71,'
<br />9.71
<br />40 •
<br />GSG.GO,
<br />40.99'•
<br />40 -
<br />10447
<br />7C
<br />50
<br />34 08
<br />-•,,10.20
<br />50
<br />-G95,0G
<br />42.00
<br />50
<br />1053.3
<br />96.01
<br />7 '
<br />350.44
<br />1,0.71
<br />14
<br />703.51`
<br />43.03
<br />21
<br />1064.9 1
<br />97,.57
<br />10
<br />358.81
<br />11.22
<br />10
<br />711.97
<br />44.07
<br />10
<br />1070.6
<br />99.16
<br />20
<br />'307.17
<br />" 11.75'
<br />20-
<br />.�_'
<br />'720.44-
<br />45,12
<br />20
<br />1070.2
<br />100,75
<br />30
<br />=375.54
<br />'r 12.29'
<br />30
<br />728:00
<br />:'4G.IS'
<br />30'
<br />1087.8,102;35
<br />418.0
<br />• 40
<br />333.91
<br />12.85-•-
<br />40
<br />737.37
<br />.47.25.
<br />40
<br />1096.4
<br />.103.97
<br />50
<br />392.28
<br />13.41-
<br />•-.. 50-
<br />745:86
<br />48:34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T=Tangent. E=External.) -
<br />Int. Curse 5°
<br />Angle
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°-
<br />350
<br />40° 45° 50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />5° T=.02
<br />.03
<br />.05
<br />.06-
<br />,-.08
<br />.10
<br />.11
<br />.13 .15 .16
<br />.18
<br />.20
<br />.21
<br />23
<br />E=,000
<br />.0001
<br />.001
<br />.001
<br />.002
<br />.002,
<br />.002
<br />.003 .003 .004
<br />.UU4
<br />.004
<br />.005
<br />.005_
<br />10° T=.03
<br />.06
<br />.09 .
<br />':13'
<br />.16
<br />.19
<br />.22
<br />.25 .28 .31
<br />.34
<br />.38'
<br />.42
<br />.46
<br />E =-001
<br />.003
<br />.10
<br />.004
<br />.006
<br />.007
<br />.008
<br />aq
<br />.011 .012 .014
<br />.015
<br />.017
<br />.018
<br />.020
<br />15° T=.04
<br />.14
<br />.19
<br />24
<br />'.29
<br />.34
<br />.39 45 .51-
<br />.53
<br />.58
<br />..63
<br />.68.
<br />E =.003 1.:007
<br />s 10 "
<br />.010
<br />.014
<br />X18
<br />.023
<br />.X7
<br />.029 .032 .035
<br />..039
<br />.043
<br />.047
<br />.051
<br />20° T=.06
<br />13
<br />19
<br />.2fi
<br />.32
<br />.39
<br />.45
<br />.5l .5$ .65:
<br />.T2
<br />.79
<br />84
<br />.90
<br />E-.00
<br />1011
<br />.017
<br />.022
<br />X28
<br />.034
<br />.038
<br />.045 .051 .057
<br />.063
<br />X70
<br />..076
<br />_ 83
<br />25° T= .U8 i
<br />.16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.58
<br />.67 .75 .83
<br />.90
<br />.99
<br />1200 -1.14
<br />•13;7:9,
<br />E =-W9
<br />.018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.079 X83 .093
<br />.106
<br />'.120
<br />.127
<br />.135,
<br />'.r3:4 e -�`1-:_,.t" a;. s:l.u�`k>�:' i �1�,su`��..�..o-_��,X•lic, 'i5'41:ne:S,Cxia�+r._:•=:�.. ,.
<br />- TADLE'I. - Tangents and-Externalq to a 1°.Curve. III
<br />Chord -=100ft ',- "
<br />Tangent Zxiernaf Tangent i:ale�n:+l� � Tangent External ;1..
<br />r- Iat-
<br />Angl e
<br />15°
<br />20°
<br />A n4,1 c
<br />.
<br />301
<br />351-
<br />Anglc
<br />45° 50'
<br />55°
<br />22°
<br />1113.7
<br />,107.24'
<br />2U°.1481.8'
<br />'.32
<br />188-51
<br />36°
<br />'1861.7
<br />294'.9
<br />10/
<br />11'22.4
<br />108.90
<br />10'
<br />1490-7
<br />190.74
<br />10'
<br />1870.9_
<br />297.7
<br />201
<br />1131.0
<br />'110.57
<br />.- 20
<br />1499.1;
<br />192-99-,
<br />20
<br />1880:1
<br />300.6;
<br />00',
<br />1'i 39:7
<br />112.25 ;
<br />30
<br />1503.5
<br />195-25
<br />30
<br />1889.4
<br />' 303.5
<br />40
<br />1'148.4
<br />113.95 -
<br />40
<br />1517,.4 1
<br />197.'&3 _
<br />% 40 '
<br />1898.6
<br />306.4
<br />I 50Y
<br />1151:4
<br />1
<br />115.66
<br />50 '
<br />1526.3
<br />�
<br />'109.82
<br />50
<br />1907.9.
<br />309.3
<br />m
<br />23-�
<br />1105.71
<br />117.38.
<br />'30
<br />1535.3 ,
<br />202.12
<br />37--
<br />'19i7:1
<br />312:2
<br />s 10 "
<br />'1174.4
<br />119.12
<br />10 F
<br />1544.2
<br />204.44
<br />10
<br />1926.4,
<br />315.2
<br />20
<br />;1183.1
<br />120.87
<br />-20
<br />1553.1
<br />206.77
<br />20
<br />1935.7
<br />318.1
<br />A:;:-30
<br />1191.8
<br />122.63 i
<br />30
<br />1562.1
<br />209.12
<br />7 30 ,
<br />1945.0:
<br />321.1 .
<br />= 40w
<br />'1200.5
<br />124.41 '
<br />40
<br />1571,0
<br />211.48
<br />40
<br />1954.3
<br />324.1
<br />0S
<br />1209.2
<br />126.20.
<br />•' 50
<br />1580.0F
<br />213.86 '
<br />50 t
<br />1953.6
<br />_327.1
<br />2Wj:
<br />•13;7:9,
<br />128.00 "
<br />31 1
<br />1589.0
<br />216.3'`
<br />135
<br />1372:9
<br />330:2
<br />• 10
<br />1226.6
<br />129.82 {
<br />• 10
<br />.1.598.0
<br />218.7 '
<br />10
<br />1982.2
<br />'`333.2
<br />?I 20..
<br />1235.3
<br />131.65
<br />20
<br />-1.606:9.
<br />221. 1 '
<br />- 20
<br />4991 i5.
<br />,330.3
<br />`.-30
<br />1244.0
<br />133-50
<br />30
<br />1615.9.
<br />223.5 '.
<br />". 30
<br />2000.9
<br />339.3
<br />40,_
<br />'1252.8
<br />135.35 '
<br />1624.9
<br />226,0
<br />40
<br />2010.2
<br />=842.4
<br />r- 50
<br />1261.5
<br />137.23
<br />_'-'40
<br />50
<br />1633.9
<br />228.4
<br />50'�
<br />2019.61
<br />'345:5
<br />t 25' -
<br />1270.2'
<br />139:11 '.
<br />32• •
<br />'1643':0
<br />230.9 "
<br />`39 �= '1
<br />2029.0'
<br />348:6
<br />2. .10 •1279.0
<br />141.01
<br />10
<br />1652,0
<br />233:4 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 '
<br />1296.5.
<br />144.85
<br />30
<br />1670.0
<br />238.4
<br />30
<br />2057.2
<br />358.1
<br />40 -.1305.3'
<br />146.79.
<br />40
<br />1G79.4
<br />'241.0 -
<br />40
<br />2066 0,
<br />-361.3
<br />'-• 50 1
<br />1314.0
<br />148.76
<br />50
<br />1688.1
<br />243.5
<br />50
<br />2076.0:
<br />'•-364.5
<br />r2T
<br />`1322.8
<br />150.`71.
<br />33:
<br />1637.2
<br />246:1 '
<br />-40
<br />2085.4
<br />367.7
<br />10
<br />-1331.6
<br />'152.69.
<br />•
<br />1706.3
<br />248.7 1
<br />IT
<br />2094:9.
<br />'371.0
<br />20 +,'1340.4'
<br />154.69 •
<br />,'10
<br />• -20
<br />1715,3
<br />251.3
<br />-20
<br />2104.3
<br />374.2
<br />f•-� 30
<br />1349.2.
<br />15670
<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 />256.5
<br />_
<br />40
<br />2123.3
<br />380.8
<br />") 50
<br />1366.81
<br />160.76
<br />50 .
<br />,3742.6
<br />259.1 "
<br />50
<br />2£32.7
<br />384.1
<br />F
<br />R7 '
<br />1375,
<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 />70
<br />1760.8
<br />264.5
<br />10
<br />2151:7
<br />'390.7
<br />20 .
<br />'1393-2:
<br />166.95 1
<br />- 20
<br />1770.0 ',
<br />267.2
<br />20
<br />2101:2
<br />394.1
<br />30
<br />•1402.0;
<br />169.01 1
<br />30
<br />1779.1 '
<br />269.9
<br />_
<br />30 _
<br />2170,8
<br />397.4
<br />40'
<br />'50
<br />1410.9
<br />171.15
<br />40
<br />1788.2 •
<br />272.6-
<br />40
<br />2180-3
<br />400.8
<br />1419:7'
<br />173.27
<br />50
<br />-1797.4
<br />•275.3
<br />50
<br />2189 9�
<br />404.2
<br />C
<br />1
<br />28 ' t
<br />�1428.G
<br />175:41
<br />35 i
<br />'5806.6
<br />278.1,.
<br />42 i
<br />2199,4,
<br />407.6
<br />10
<br />1437:4'
<br />177^55
<br />.
<br />16 °
<br />-1815.7 z
<br />-280.8
<br />10 e
<br />.2200.0e
<br />'411.1
<br />""20 '
<br />'1446:3:
<br />179.72
<br />20
<br />1624.9 1
<br />283.8
<br />-' 20
<br />2218.6;
<br />414.5
<br />30 1
<br />1455.1'
<br />181.89
<br />30
<br />1634.1 1
<br />.
<br />286.4
<br />30,:
<br />2228.1
<br />418.0
<br />40
<br />1464.0-
<br />134.08
<br />40
<br />1843.34
<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'W Tangent:: E =l xternal:);
<br />Int: ... Curve 5� `104
<br />Angle
<br />15°
<br />20°
<br />25°
<br />.
<br />301
<br />351-
<br />40°
<br />45° 50'
<br />55°
<br />60° '65° '70°
<br />:20° T=•06. .13
<br />.19
<br />".2G
<br />'.32
<br />.39
<br />.45
<br />.51
<br />.58 ,65
<br />.72
<br />-79 .84 .90,
<br />E=.006; '.011
<br />..017
<br />:'.022
<br />.028
<br />,,,034
<br />..039
<br />'.615
<br />.051 .057
<br />..OG"
<br />.070 .076 .083-
<br />25` T=.08 .16
<br />.24
<br />'.33
<br />.40
<br />•.49
<br />-.58
<br />,07
<br />.75 •.83
<br />.00
<br />'.99 1.06 1-14
<br />'.13:;
<br />E=.009 .013
<br />.027
<br />.036
<br />-.046'-A56
<br />.055
<br />074
<br />.A83 .093
<br />.106
<br />AM, .127
<br />30° T=.10 .19
<br />.29
<br />.39
<br />.49
<br />59
<br />.69
<br />.79
<br />.80 '.99
<br />1.09
<br />120 1.29 1.39
<br />E=.013 .025
<br />.038
<br />.051
<br />.005
<br />.078
<br />',070
<br />.103
<br />.116 .129
<br />.149
<br />.170 ,179 .198
<br />35�-T='•11. .22
<br />.34
<br />.47
<br />.59
<br />.69
<br />.80
<br />.93.1.05
<br />1.17
<br />1.29
<br />1A2 1.54 1.66
<br />E =.018 .035
<br />.054
<br />.072
<br />.096
<br />.100
<br />.131
<br />.153
<br />.175 „197
<br />213
<br />230 -.247 :2 G4
<br />* 40° T=.13 .16
<br />.AO
<br />.53
<br />.67
<br />.80
<br />.93
<br />1.00
<br />1.20 1-34
<br />1.49
<br />1.C4 1,79 1.94
<br />1 =.623 .0x6
<br />.070
<br />093
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234 .265
<br />.277
<br />290 ,315 .341
<br />45° T-,15 .30
<br />.44
<br />.60
<br />.76
<br />.01
<br />1.05
<br />1.21
<br />1.37 1.52
<br />1.70
<br />1.87 2.04 2,21,,
<br />E- 1,.060
<br />.093
<br />'.119
<br />.153
<br />'.184
<br />.216
<br />.254
<br />.280 .325
<br />.351
<br />,2,8 .411 .445
<br />4
<br />1
<br />l
<br />
|