Laserfiche WebLink
. 7 <br />H TABLE 1. - Tangents and Externals to a 1° Curve. l <br />Chord= 100 ft. <br />Int. <br />Angle <br />.Tangent <br />External <br />'Int:'•Int. <br />_Angle' <br />Tangent <br />External <br />-Angle <br />Tangent <br />External <br />1° <br />50.00 <br />.1*:22 <br />'8*- 1. <br />400`.GG <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 />?,,.39 <br />20 '• <br />417.41- <br />i 15:18 <br />20 <br />771.29 <br />51.68 <br />30 <br />75.01 <br />:49 <br />:• 30 <br />425.79__ <br />15.80 <br />-- .+30 <br />779.77 <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 />442:55 <br />.17.07 <br />50 <br />796;75:,; <br />55.13 <br />2 <br />;;100:01.:87, <br />117.33 <br />., 9.' <br />450.93 <br />-;17•.72. <br />.16 <br />.805.25 <br />56;31 <br />10 <br />.108.35 <br />1.02 <br />10 <br />459.32 <br />18.38. <br />-10 <br />813.75 <br />57-.50" <br />20 <br />116'68' <br />1.19 <br />20 <br />-467.71 <br />T 19.06. <br />_ <br />20.- <br />S22:25 <br />-58.70 <br />30 <br />125.02 <br />1:3G <br />_ 30 ' <br />476.10 <br />-19.75 <br />30 -: <br />830.76, <br />59.91 <br />40. <br />.133.36 <br />'.1.55 <br />40 <br />.•484.49 <br />•20.45... <br />40 <br />839.27 <br />61.14 <br />50 .'-141.70 <br />1209.2 <br />1.75 <br />50 <br />-492.88 <br />`21.16 <br />50 <br />847.78' <br />62.38 <br />a'150.04 <br />-1:66' <br />10 <br />501.28 <br />-'21'.89 <br />17 <br />856:30' <br />63.63 <br />10'7 <br />--158'.38 <br />i 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 />-.23.38. <br />20 <br />873.35 <br />66:18' <br />30 <br />175.06 <br />2.67 <br />30 <br />526.45 <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 />191.74 <br />3.21 <br />50 <br />543.29 <br />25.70 <br />50 <br />898.95 <br />70.09 <br />25 <br />1270.2 <br />139.13 <br />32. <br />-1643.0" <br />•26;50 <br />39 <br />2029.0 <br />348.6 <br />4 <br />200.08 <br />3.49' <br />-;11 <br />551.70 <br />233.4 <br />1S' •'-907•.49- <br />2038.4 <br />71.42 <br />10 <br />208.43 <br />3.79 <br />10 <br />5650.11 <br />27.31 <br />10 <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 />76.86 <br />50• <br />241.81 <br />5.10 <br />50 <br />593.79 <br />30.68' <br />50 <br />950.25 <br />78.26 <br />5 <br />250.16 <br />.5.46 <br />13. <br />'602.21 <br />31':56 <br />19 <br />958.81 <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 />266.86 <br />6.21, <br />,20 <br />619.07 <br />33.35• <br />20 <br />= 975.96 <br />82.53 <br />30 <br />275.21 <br />0.61 <br />30, <br />627:50 <br />'34.26- <br />,30 • <br />984.53 <br />83.97 <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 />.; 36.42 <br />50 <br />1001.7 <br />86.90 <br />6 - <br />300.28. <br />_ 7.86+ <br />13 <br />652.81 <br />37.07, <br />- <br />1010.3 - <br />88.39 <br />10 <br />308:64 <br />':• 8.31 <br />- 10 <br />661:25 <br />38.03 <br />_20 <br />•10- <br />1018.9 <br />89.89 <br />20 <br />.316.99 <br />8.76 <br />20 , <br />-GG9.70 <br />39.01. <br />20 <br />1027.5' <br />91.40 <br />30 <br />325.35 <br />9.23 <br />30 <br />678.15 <br />7 39.99 <br />30 <br />1036.1 <br />92.92 <br />40 <br />:333.71 <br />9.71 <br />40. <br />686.60; <br />40.99 <br />40 <br />_ <br />1044.7 <br />94.46 <br />50 <br />342.08 <br />10.20 <br />50 <br />695.OG <br />42.00 <br />50 <br />1053.3 <br />96.01 <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 />358.81 <br />- 11.22 <br />10 <br />711.97 <br />•44.07 <br />10 <br />1070.6 <br />99.16 <br />20 <br />367.17 <br />11.75 <br />20 <br />720.44 <br />45.12 <br />20 <br />1079.2 <br />•100.75 <br />30 <br />375.54 <br />-12.29 <br />30, <br />-.728.90 <br />46.18 <br />'30'- <br />1037:8 <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 />103.97 <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 />TABLE T:: -:Tangents and. Externals.to.a 1°. Curve. 1. <br />Chord =100 f t., <br />Int. <br />Angle <br />Coirectioris to be,Added (T <br />Tangent <br />I `' ' <br />External; <br />• Int. ' <br />Angle <br />Tangent <br />External <br />Int. <br />tingle ' <br />Tangent <br />Extern 1 <br />X22°' <br />1113."7 <br />107.24 <br />29°, <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />294.9 <br />10� <br />1122.4 <br />108.90 <br />1101 <br />1490.7 <br />190.74 <br />101 <br />1870.9 <br />297.7 <br />20 <br />'1131.0 1.110.57 <br />E =.001 <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 />"40 <br />'1.148.4 ! <br />113.95 <br />-'•' 40 <br />1517.4 <br />197.53 <br />40 <br />-1898.6 <br />306.4 <br />�•= 50 - <br />3157.0 ; <br />115.68 <br />50 <br />1526.3 <br />199.82 <br />50 <br />1907.9 <br />309.3 <br />-23 `; <br />1165.7 <br />117.33 <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 />1544:2 <br />'204.44 <br />1.10 <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 />30 <br />1191.8 <br />122.63 <br />u0 <br />1562.1; <br />209.12 <br />-- 30 <br />1945.0 <br />321.1 <br />�• 40 <br />1200.5 <br />124.41 <br />40 <br />1571.0 <br />211.48 <br />•40 <br />1954.3 <br />324.1 <br />X450 <br />1209.2 <br />126.20 ,' <br />° •50 <br />1580.0 <br />'213.56 <br />50 <br />1963.6 <br />327.1 <br />24', <br />1217.9 <br />128.00 <br />31 <br />1580'.0 <br />216.3 <br />38 <br />1972.9 <br />3302 <br />10 <br />1226.6 <br />129.82 <br />•(10 <br />'20 <br />1595.0` <br />218.7 <br />10 <br />1982.2 <br />333.2 <br />20 <br />1235.3 <br />131.65 <br />:• <br />1606.0 <br />221.1 <br />20 <br />1991.5 <br />336.3 <br />30 <br />1244:0. <br />133.50 <br />- 30 <br />1615.0 <br />223.5 <br />30 <br />2000.9 <br />339.3 <br />_ 40 <br />1252.8 <br />135.35•:40 <br />.141 <br />1624.9 <br />226.0 <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 />139.13 <br />32. <br />-1643.0" <br />230:9 <br />39 <br />2029.0 <br />348.6 <br />•`10 <br />1279.0 <br />141.01 <br />10 <br />1652-0 <br />233.4 <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 />354.0 <br />30, <br />1296.5 <br />144.55 <br />30.' <br />1670.0 <br />238.4 <br />30 <br />2057.2 <br />358.1 <br />40 <br />1305.3 <br />146.79 <br />40 <br />1679:1. <br />241.0 <br />40 <br />2066.6 <br />361.3 <br />50 <br />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 />367.7 <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 />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 />50 <br />1366.8 <br />160.76 <br />50 <br />1742.6• <br />259.1 <br />50 <br />2132.7 <br />384.1 <br />27 • ' <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 <br />10; <br />1760.& <br />2G4.5 <br />10 <br />2151.7 <br />390.7 <br />20 <br />1393.2 <br />166.95 <br />20- <br />1770.0 <br />267.2 <br />20 <br />2161.2 <br />394.1 <br />30 <br />1402.0 <br />169.04 <br />J. 30 <br />1779.;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 />x•50 <br />1797:4' <br />`- 275.3 <br />50 <br />2189.9 <br />404.2 <br />2S <br />1428:d <br />175.41• <br />35` <br />1806.6 <br />278.-1- <br />42 <br />2199.4 <br />407.6 <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 />283.6 <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 />184.03 <br />401343.3 <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 />'Tangent. 'E = External.) <br />Corrections to be Added (T=Tangent: E=External.) <br />Angle <br />Curve 5° <br />10° <br />15° 20° 250 30°' 35°, <br />40° 45° 50° 55° 60° <br />65°, <br />70° <br />5o <br />T=.02 <br />.03 <br />.05 .06' .08 .10 '•.11 <br />.13. .15 .16 .18 .20 <br />.21 <br />.23 <br />70°. _ <br />E =.000 <br />.000 <br />.001 .001 '.002 ..002 .002 <br />.003 -.003 .004 .004 .004 <br />.005 <br />.005 <br />IOo <br />T =.03 <br />.06 <br />.09 .13' .16 .19 .22 <br />.25 28 .31 34 38 <br />.42 <br />.46 <br />.84 <br />E =.001 <br />.003 <br />.004 .006 .007 ,.008 •.009 <br />.011 .012 .014 .015 .017 <br />.018 <br />.020 <br />15o <br />T=.04 <br />.10- <br />.14 19 .24 .29 .34 <br />.39 .45 .51 .53 .58 <br />.63 <br />.68 <br />.070 <br />E =.003 <br />.".007 <br />.010 .014 .018 .023 .027 <br />.029 .032 .035 .039 .043 <br />.047 <br />.051 <br />20o <br />T=.06' <br />13 <br />.19 .26 .32 .39 .45 <br />.51 .58 .65 .72 79 <br />.84 <br />.90 <br />.90 <br />E =.006 <br />.011 <br />.017 .022 .028 .034 .038 <br />.045 .051 .057 .063 • A70 <br />076 <br />.083 <br />25° <br />T=.08 <br />.16 <br />.24 .33 .40 .49 .58 <br />.67 .75 .83 .90 .99' <br />1.06 <br />1.14 <br />.093 <br />E =.009 <br />.018 <br />.027 .036 .046 .056 .06.5 <br />.074 .0931'.093 .106 .120 <br />.127 <br />.135 <br />Int. <br />Angle <br />Cuive 5° <br />"10°, <br />'15°' <br />20° <br />25" <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70°. _ <br />20°j• <br />T=.06 <br />.13 <br />.19 <br />-.26 <br />.32 <br />..39. <br />.45 <br />;51 <br />.58 <br />.65 <br />.72 <br />.79 <br />.84 <br />.90 <br />E =.006' <br />'.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.015 <br />.051 <br />.057 <br />.063 <br />.070 <br />.076 <br />.083 <br />250; <br />T=.08 ` <br />.16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.58 <br />.67 <br />.75 <br />.83 <br />.90 <br />.99 <br />1.06 <br />1.14 <br />E =.009 <br />.018 <br />.027 <br />.036 <br />.046 <br />.056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />30° <br />T=.10 . <br />.19 <br />.29 <br />.39 <br />.49 <br />.59 <br />.69 <br />..79 <br />.89 <br />.99 <br />1.09 <br />1.20 <br />1.29 <br />1.39 <br />E=..013 <br />.025 <br />.038 <br />.051 <br />.065 <br />.078 <br />.090 <br />.103 <br />.118 <br />.129 <br />.149 <br />.170 <br />.179 <br />.188 <br />35°•• <br />T=:11 <br />.22 <br />.34 <br />.47 <br />.58 <br />.69 <br />.80 <br />.93 <br />1.05 <br />1.17 <br />1.29 <br />1.42 <br />1.54 <br />1.66 <br />E=.018 <br />.035 <br />.054 <br />.072 <br />.086 <br />.109 <br />.131 <br />.153 <br />.175 <br />.197 <br />.213 <br />'.230 <br />.247 <br />.264 <br />40° <br />T=.13 <br />.26 <br />.40 <br />.53 <br />.67 <br />.80 <br />.93 <br />1.06 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />E=.023 <br />.046 <br />.070 <br />.093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 <br />.341 <br />450 <br />T=.15-,.30 <br />.44 <br />.60.76 <br />.91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />E=.030 <br />.060 <br />.093 <br />1119 <br />.153 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 <br />.351 <br />.378 <br />:411 <br />.445 <br />