|
t
<br />II TABU& 1. -Tangents and Externals to a 1°- Curve.,
<br />Chord=100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />-'
<br />External
<br />In
<br />Angfe,L
<br />-
<br />Tangent
<br />External
<br />Int.
<br />Angle -
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />"M
<br />'8°--
<br />400:06113.90
<br />.005
<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 />702,80
<br />50.55
<br />110
<br />66,67.
<br />.;.39
<br />20..
<br />417.41•
<br />15.18
<br />'20
<br />771.29
<br />5L.68
<br />30.
<br />75,01
<br />49 .
<br />_
<br />30'
<br />425,79•
<br />, 15'.80
<br />30
<br />779.77
<br />52,82
<br />40
<br />-.83.34
<br />G1
<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 />.442:55
<br />17,07-
<br />-.50,
<br />796.75.
<br />55.13,
<br />- 2• -
<br />'100,01,
<br />'- -, S7 .
<br />9.. �
<br />450.93
<br />• " LZ 72 .
<br />' 11; x : ,
<br />605.25.
<br />58.31:
<br />•10'
<br />,.108:35
<br />1.02'
<br />'r.191
<br />101
<br />459:32
<br />t8.38
<br />10
<br />813.75.
<br />.
<br />WZU
<br />20
<br />116:08-
<br />120.87'.
<br />20,
<br />487:71
<br />"'19.06
<br />20
<br />622-25.59.70
<br />,'313,1
<br />W
<br />125.02
<br />., -;1.30 Y
<br />30:-�
<br />, 476,.10'
<br />;19.75
<br />30
<br />830.76:'
<br />; 59.91
<br />40
<br />133.30
<br />.- .'1:55 ,
<br />40
<br />,
<br />484.49
<br />.20:45
<br />.
<br />40
<br />639.27
<br />61'.14
<br />50
<br />141:70
<br />1:75
<br />' ;50-
<br />"492.88
<br />21.16
<br />50
<br />647.78
<br />.' 62.3811
<br />24
<br />,:1217.9,
<br />128.00
<br />31. --
<br />1599:0
<br />216:3
<br />38:
<br />-.1972:9
<br />330:2
<br />3",."
<br />1',0.04'''
<br />1.98'
<br />10 ,---`
<br />501:28'
<br />21.89 '
<br />17
<br />856.30
<br />63,63'
<br />LO
<br />158:38
<br />2:19-
<br />- .-10-
<br />..509.68'"'.22.62
<br />_
<br />1Q.-
<br />_864.82
<br />09.90'
<br />20
<br />1G6.72
<br />2.43
<br />2U
<br />518.08
<br />.23.38
<br />:20,
<br />873:35'
<br />66.19
<br />30
<br />175,06
<br />2.67
<br />30:
<br />526.48
<br />;.24.14
<br />3Q
<br />88L.88
<br />67,47
<br />40
<br />183.40
<br />2.93
<br />40
<br />534:89.
<br />.24,01
<br />40
<br />890.41
<br />69 77,L
<br />50
<br />191.,74
<br />63.21
<br />50
<br />.543,29
<br />25.70
<br />; 50
<br />898',95
<br />70.09
<br />11 10
<br />1279.0
<br />141.01
<br />10
<br />1052.0
<br />233.4:
<br />'.10
<br />2038.4'
<br />351,8
<br />4
<br />2000S
<br />3:4:9:
<br />111
<br />'551.70
<br />"•26J50'
<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 />i 72.76
<br />20
<br />218._77
<br />4.30
<br />J20,
<br />568.53
<br />28:14
<br />20
<br />924,58
<br />'74,121
<br />30
<br />225.12
<br />' 4."42
<br />t, 30;
<br />; 576.95
<br />128.97:
<br />30
<br />933.13
<br />175.49
<br />40
<br />233.47
<br />4.76
<br />: 40 ..
<br />585.36
<br />-29.82 _.
<br />40
<br />941:69
<br />76.801
<br />50
<br />241:81
<br />5.10
<br />50
<br />593.79
<br />30.68
<br />.50
<br />950.25
<br />78,201
<br />5
<br />250.16
<br />5.46
<br />12
<br />602.21
<br />31:56
<br />19
<br />95S.81
<br />79.67'-
<br />10
<br />258.51.
<br />5.83
<br />10
<br />610.64
<br />32.45
<br />10
<br />967.38
<br />81.09
<br />20
<br />266.80
<br />`'`•6.21--
<br />`20.
<br />619 A7,`
<br />33.35
<br />20
<br />975.96
<br />82.53
<br />30
<br />275.21
<br />6.61
<br />30 _.
<br />G27.50
<br />34.26
<br />30
<br />984.53
<br />83.07
<br />40
<br />283,57
<br />-7:01'
<br />40.'
<br />635.93
<br />35.18-
<br />40
<br />993.12
<br />85.43
<br />50
<br />291:92
<br />,:.7.43
<br />50
<br />644:37
<br />35,.12 -
<br />50,
<br />1001 ,7
<br />86.90
<br />6
<br />30Q.$8;
<br />7.88
<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 />601,25'
<br />38.03
<br />10
<br />1018.9
<br />89.89'
<br />20
<br />316.99
<br />8.76'
<br />20
<br />669.70
<br />39.01
<br />20
<br />1027.5
<br />01.40,
<br />30
<br />325.35
<br />9.23
<br />30-
<br />'678.15
<br />39.99
<br />30
<br />1036.1
<br />92.92
<br />40
<br />333.71
<br />,' 9.71
<br />40.
<br />68G.60
<br />40.99
<br />40
<br />_
<br />1044.7
<br />94.46'
<br />50 '
<br />342.08
<br />10.20
<br />50
<br />'0195.06
<br />42.00
<br />50
<br />1053.3-
<br />96,01
<br />1
<br />300,44•
<br />10.71
<br />14
<br />703.51'
<br />243.03
<br />21
<br />1001.9
<br />97.57
<br />10
<br />3081.81"
<br />-11.22
<br />'. 10
<br />711.97
<br />44.07
<br />10
<br />1070.6
<br />99.16
<br />20
<br />387:17
<br />' 11.75
<br />20
<br />720.44
<br />45.12
<br />20
<br />1079.2-
<br />100.751
<br />30
<br />" 375.54
<br />12.29
<br />`':'30
<br />'728.90
<br />46.18'
<br />'30:
<br />1087.8
<br />102.35;
<br />40
<br />.333.91
<br />12.85
<br />. 40
<br />737.37
<br />47.25
<br />40
<br />1096.4
<br />103.971
<br />50
<br />392.28
<br />13.41
<br />50
<br />745.85
<br />48.84
<br />50
<br />1105.1
<br />105.00'.
<br />1
<br />I.
<br />Corrections to be Added (T =Tangent. E=External.)
<br />Int. C1uve 5° 10° 15° 201
<br />Angle
<br />251 30°'`35°,
<br />401 45° I 50° 55° 606
<br />65°
<br />701,
<br />5° T=.02 .03 .05 .06'
<br />.08 .I0
<br />'.002
<br />.11 ,13 15 .16 .18 .20'
<br />.21
<br />.23
<br />E =.000 .000 .001 .001
<br />°.002
<br />.002 .003 .003 .004 .004 .004
<br />.005
<br />.005
<br />10° T =.03 .06 .09 .13
<br />.10 .19
<br />.22 .25 .28 .31 .84' .38
<br />2
<br />.46 j
<br />E=.001 .003 .004 .006
<br />.007 ..098
<br />.009 .011 .012 .014 .015 .017
<br />.018
<br />.020
<br />Is. 7=,04 1.10' .14 .19
<br />.24 .29
<br />.34 .39 46 .51 - .53 ,58
<br />.63'
<br />-..68
<br />E=.003 1,007 .010 .014
<br />.018 .023
<br />.027 .029 .032 .035 .039 .043
<br />.047
<br />'.05L
<br />20° T=AB 1.13 .19 .26
<br />�2 39
<br />.45 Sil .58 .85' .72 79
<br />'.84
<br />BO'
<br />E�.006 pll _017 .022
<br />.028 .034
<br />.038 OLS '.051 -.057 .083 070
<br />..078
<br />'.083
<br />251 Tm.08 IB 24 33
<br />.40 49
<br />.58 67 75 .,83 .99 .99
<br />1.06
<br />1.14
<br />E=•008 018 .027. .036
<br />.048 .056
<br />.085 .074 .063 .083 .100 .120
<br />.127
<br />.135
<br />•T1B,LE I. =Tangents send Externals to a 16 Curve., III
<br />Chord'=100 ft.
<br />Angle".
<br />Tangent.
<br />External
<br />Int. ,,
<br />Angle
<br />Tangent
<br />External°
<br />Int,- -y
<br />Angle
<br />'Tangent
<br />Ezternaf
<br />22°'
<br />1113.7
<br />107.24
<br />29°'-
<br />1481;8
<br />'188.51'
<br />'36° "
<br />18G1.7
<br />294.9
<br />101,
<br />1"1122;4
<br />108.90
<br />t' 10'
<br />'1490.7
<br />190.74
<br />10''
<br />••1870.9
<br />'297.7
<br />20 '
<br />1131.0
<br />110.57.'
<br />20 f
<br />1499:6
<br />192.99
<br />20
<br />1880.1-
<br />300.6
<br />3U
<br />1139,7
<br />'112.25
<br />30 ;
<br />1508.5
<br />195.25,.
<br />30 ;;1889.4•
<br />T=•11 .22
<br />''303.5
<br />40
<br />•1148.4
<br />113,95.
<br />40
<br />1517,4
<br />197.53,
<br />40
<br />;1898.6.
<br />306,4
<br />° .50
<br />1157.0
<br />115.66.
<br />50 j
<br />1326:3
<br />199.82
<br />50 I
<br />-1907:0
<br />-309.3 -
<br />.23 "_
<br />11051.7
<br />117:38.
<br />30 -'
<br />1535.3
<br />202.12
<br />37 +
<br />"1917:1.
<br />;312.2
<br />10
<br />1174.4
<br />119.12
<br />10
<br />1544x2
<br />204.44 •
<br />.-.10
<br />1926.4
<br />315:2
<br />20
<br />11S3:1
<br />120.87'.
<br />20
<br />1553.1
<br />206.77
<br />'•20;
<br />;1935.7•
<br />,'313,1
<br />30
<br />.1191.8
<br />122.63.
<br />.- 30 '
<br />1562.1
<br />209.12
<br />30
<br />1945:0'
<br />' 321,1
<br />--40
<br />'1200.5
<br />124.41
<br />•' 40 :.1571.0
<br />211,48;'
<br />'.`- 40
<br />1954.3
<br />324;1
<br />50
<br />1209.2
<br />126,20
<br />56
<br />1580,0'
<br />:'213:86
<br />=-50
<br />^1963;0.
<br />'327.1
<br />24
<br />,:1217.9,
<br />128.00
<br />31. --
<br />1599:0
<br />216:3
<br />38:
<br />-.1972:9
<br />330:2
<br />10
<br />.1220.G
<br />129.82
<br />10
<br />1598.0
<br />218.7
<br />10 i
<br />.1982,2
<br />,-333.2
<br />20
<br />1235,3
<br />131.65 '
<br />•20
<br />1606.9:
<br />221.'1
<br />2011991.5
<br />336.3
<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 />40
<br />1024.9
<br />'228,0
<br />40
<br />2010.2
<br />'342.4
<br />50
<br />1261.5
<br />137.23
<br />50
<br />1633.9
<br />;228,4
<br />50
<br />-2019.6.
<br />-345.5
<br />25.
<br />1270.2
<br />139.11,
<br />32
<br />1043.0
<br />230.9
<br />,39.
<br />42029:0
<br />348:6
<br />11 10
<br />1279.0
<br />141.01
<br />10
<br />1052.0
<br />233.4:
<br />'.10
<br />2038.4'
<br />351,8
<br />20
<br />.1287.7
<br />142.93
<br />_ '20
<br />1061.0•.
<br />235.9
<br />20
<br />354.9
<br />30
<br />1290.5'
<br />144.85 '
<br />30
<br />1070.0
<br />238.4
<br />" 30
<br />,2047:8
<br />.2057.2
<br />358.1
<br />40 .
<br />1305.3.
<br />146.79
<br />'40
<br />1079.1
<br />241.0.
<br />40
<br />2066.6
<br />301.3
<br />50,'-1314.0
<br />148,75
<br />50
<br />1688.1
<br />243.5 ,
<br />50
<br />2076.0;
<br />-364.5
<br />26
<br />'-1322:8
<br />150.71
<br />33 -
<br />1697.2
<br />246'.1
<br />-40,
<br />2085.4
<br />387.7
<br />10
<br />' 1331.6
<br />152.69
<br />10
<br />Mo. 3248:7
<br />'
<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 />20
<br />-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 />256.5
<br />40
<br />.2123.3
<br />'380.8
<br />150
<br />1366.8
<br />160.76
<br />•50 '
<br />1742.G
<br />259.1
<br />50
<br />21321.1
<br />"384.1
<br />•27.
<br />1375.6
<br />182.81 '
<br />34,
<br />1751.7
<br />261.8.
<br />41
<br />2142.2
<br />387:4
<br />" .10
<br />1384.4
<br />104.86.
<br />10
<br />1760.8
<br />264.5
<br />10
<br />2151:7.
<br />390.7
<br />20
<br />1393:2
<br />106.95 '
<br />20
<br />1770.0
<br />267.2
<br />'20
<br />2161,2
<br />394.1
<br />30
<br />9402.0
<br />LU9,04
<br />30
<br />1770.1'
<br />269.9
<br />30
<br />2170.8
<br />397.4
<br />40
<br />1410.9
<br />171.15
<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 />1797.4
<br />275,3
<br />50
<br />2189'9
<br />404.2
<br />28
<br />142S.6
<br />175.41 -
<br />35
<br />1806.6
<br />278.1
<br />42
<br />2199.4.
<br />407.5
<br />10''
<br />1437.4
<br />177.55
<br />10
<br />1815.7 ;
<br />280.8.
<br />10
<br />2209.0
<br />411.1
<br />20.
<br />1446.3.
<br />179.72
<br />20
<br />1824.9
<br />283.fi •
<br />20
<br />2218.6•
<br />414.5
<br />30
<br />1455,1
<br />181.89
<br />" .30
<br />1834.1
<br />286.4
<br />-30
<br />2228.1
<br />418.0
<br />40
<br />-1464.0
<br />184.08 .
<br />40
<br />1643.3
<br />289.2
<br />'40
<br />2237.7
<br />421.4
<br />50.
<br />1472.0
<br />180.20.
<br />50
<br />1852:5
<br />292,0 '
<br />50
<br />2247.3
<br />425.0
<br />Corrections tti 'be Added" (T = Tangent. - E = External.)"
<br />Tat.
<br />Angle
<br />Curve 5° 10°
<br />15°
<br />20°
<br />25° '30°
<br />35° 40° 45° 50° 55°, 601 65° 70"
<br />20°
<br />'T-.06 "13
<br />.19
<br />.26
<br />.32 .39'
<br />.45 ,51 .58 ,65 ..72 .70 .89 .90
<br />'E--.006 .011
<br />_.017
<br />.022
<br />.028 .034
<br />.008 '.045 .051 '.057 .063 .010 .076 .083
<br />25°
<br />T=.08" .16
<br />.24
<br />.33
<br />.40 .49
<br />'.58 .57 .75 .83 .90 .99 1.06 1.14
<br />E =.009 •.018
<br />•027
<br />.036
<br />.048 .056
<br />.005 .074 .083 .093 .106 :120 '.127 .135
<br />30°
<br />T=-10 ,10
<br />.29
<br />.39
<br />.49 .50
<br />.69 .79 .89 •.99" 1.09 1.20 1.29 1.39
<br />.'
<br />E=.013 .025
<br />_.038_
<br />_.05t
<br />_.065 .078
<br />.090 .103 .116 .129 .149 .170 .179 .188
<br />35°
<br />T=•11 .22
<br />.34
<br />.47
<br />'.58 .69
<br />.80 .03 1.05 1.17 1.29 1.42 1.54 1.66
<br />-.264
<br />•E =.018 .035
<br />,054
<br />,072
<br />_086 .109
<br />.131 .153 .175 .197 .213 .230 297
<br />40',
<br />T-:13 .26
<br />.40.58
<br />.67 .80
<br />.93 1.06 1.20 1.34 1.49 1,64 1.79 1.94
<br />E =.023 048
<br />T=.15 .30
<br />.070
<br />.093
<br />.00
<br />,1 L7 .141
<br />.172 .203 .234 .265 .277 .290 .315 .341
<br />450'
<br />.44
<br />.91
<br />.76.030
<br />1.06 1.21 1.37 1-52 1.70 1.87 2.04 2.21
<br />E=7.030 .060
<br />.093
<br />.119
<br />.153 .184
<br />.216 .254 ,289 .325 .351 ,378 .411 .445
<br />
|