Laserfiche WebLink
CII TAbLiz I. - Tangents and Externals to a 1° Curve. <br />rbnrri=100 ft_ <br />Angle <br />Tangent <br />External <br />' Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />1° <br />50.00 <br />:22 <br />8°' <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 />.39 <br />20 <br />417.41_ <br />15.18 <br />20 <br />771.29 <br />51.68 <br />30 <br />75:01 <br />_ <br />.49' <br />1130 <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 />.029 <br />100!01' <br />:87 <br />'8". <br />"450.93 <br />" 17.72 <br />.051 <br />805.25 <br />56.31 <br />10 _:108:35` <br />.51 <br />".1:02 <br />;10 <br />459.32 <br />.18.33 <br />,18 <br />=.10 <br />813.75 <br />57:50 <br />20 <br />116.68,' <br />1:19 <br />•20 <br />467.71 <br />19.06• <br />. 20 <br />822.25 <br />58.70 <br />30' <br />-125.02 <br />1.36 <br />30 <br />476.10 <br />19.75 <br />30 <br />830.7G. <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 <br />_141.70 <br />.1.75 <br />•.50 <br />492.58 <br />21.'16. <br />50 <br />847.78 <br />62.38, <br />8,•; <br />,150.04 <br />.1.96 <br />10 • '. <br />501:28 <br />21.89' <br />•17• <br />856.30 <br />63.63 <br />16".:58.38. <br />1220.6 <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 />: ' 23.33. <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 />,. <br />30 <br />881:88 <br />07.47 <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 />a <br />.200.08 <br />3.49 <br />U <br />551.70. <br />26.50 <br />18 <br />907.49: <br />71.42 <br />10 <br />" 208:43 <br />3.79' <br />10 <br />560.11 <br />_ <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 />92458 <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 />12 <br />•602.21 <br />31.56 <br />19 <br />958.81 <br />79.67 <br />10 <br />256.51 <br />5.83 <br />10 <br />610.64 <br />32.45 <br />10' <br />967.38 <br />81.09 <br />20 <br />266.56 <br />,. 6.21..- <br />20 <br />619.07 <br />33.35...t:,20.. <br />20 <br />'975.9G <br />82.53 <br />30 <br />275.21 <br />6.61- <br />30 <br />'627.50 <br />','34.26. <br />••30 <br />034.53 <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 />, 36.12 <br />50 <br />.1001.7 <br />80.90 <br />6 <br />300.28 <br />7.86 <br />13^ <br />052:81' <br />'37 07 <br />2D:'.` <br />1010.3 <br />88.39 <br />10 <br />308.64 <br />8.31 <br />10 <br />661.25' <br />38.031-y_ <br />,10: <br />1018.9 <br />89.89 <br />20 <br />' <br />316.09; <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 />678.15 <br />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 />1044.7 <br />94.46 <br />50 <br />342,03 <br />10.20 <br />_ :50 <br />695.06 <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 />1661.9: <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 />1087.8 <br />-102.35 <br />40 <br />383.91 <br />12.55 <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 />Corrections to be Added -(T =Tangent.` E=External.) <br />Int. <br />Angle <br />Curve 5° <br />10° 15° 20° 1 250. 30° 35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />5o <br />T=.02 <br />.03 .05 .06 .08 '".10 .11 <br />.13, <br />.15 <br />.16 <br />.18 <br />.20 <br />.21 <br />.23 <br />.51 <br />E=.000 <br />.000 .001 .001 .002 .002 -.002 <br />.003 <br />.003 <br />.004 <br />.004 <br />.004 <br />.005 <br />.005 <br />loo <br />T =.03. <br />.05 .09 .13 .16 .19 .22 <br />.25 <br />.28•. <br />.31 <br />.34 <br />.38 <br />.42 <br />.46 <br />1508.5 <br />E=.001 <br />.003 .004 .006 .007 .008 .009 <br />.011 <br />.012 <br />.014 <br />.015 <br />.017 <br />.018 <br />.020 <br />150 <br />T=.04 <br />.10.14 .19 .24 .29 .34 <br />.30 <br />.45 <br />.51 <br />.53 <br />.58 <br />.63 <br />.68 <br />50 <br />R=.003 <br />.007 .010 .014 .018 .023 .027 <br />.029 <br />.032 <br />.035 <br />.039 <br />.043 <br />.047 <br />.051 <br />20° <br />T=.06 <br />.13 :19 .26 .32 .39 .45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.79 <br />.84 <br />.90 <br />315.2 <br />E=.006 <br />.011 .017 .022 .028 .034 .038 <br />.OIL <br />.051 <br />.057 <br />.063 <br />.070 <br />.076 <br />.083 <br />250 <br />T=.08 <br />.16 .24 .33 .40 .49 .58 <br />67 <br />.'L <br />.83 <br />.90 <br />.90 <br />1.06 <br />1.14 <br />1200.5 <br />E-.009 <br />.018 .027 .036 .046 .056 .065 <br />.074 <br />.083 <br />.093 <br />.108 <br />.120 <br />.127 <br />.135 <br />e <br />TABLE I. - Tangents and Externals to a P Curve. III <br />Chord =100 f t. <br />Angle <br />Tangent <br />External <br />Angie <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />22° <br />1113.7 <br />107.24 <br />290 <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />294.9 <br />10Y <br />1122.4..108.90 <br />.51 <br />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 <br />1499.0 <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 />18S9.4 <br />303.5 <br />40 <br />1148:4 <br />113.95 <br />40 <br />1517.4 <br />197.53 <br />40 <br />1893.6 <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 />28 <br />1165.7 <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 />1544.2 <br />204.44 <br />10 <br />1926.4 <br />315.2 <br />20 <br />I1S3.1 <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 />30 <br />1562.1 <br />209.12 <br />30 <br />1045.0 <br />321.1 <br />40 ' <br />1200.5 <br />124.41 <br />40 <br />1571.0 <br />211.48 <br />40 <br />1904.3 <br />324.1 <br />50 <br />1209.2' <br />126.20 <br />50 <br />1580.0 <br />213.86 <br />50 <br />1063.6 <br />327.1 <br />.24 ; <br />1217.9 <br />128:00 <br />31 <br />1589.0 <br />216.3 <br />38. <br />ID72.9 <br />330.2 <br />10 <br />1220.6 <br />129.82 <br />10 <br />1598.0 <br />218.7 <br />10 <br />lOS2.2 <br />333.2 <br />20 <br />1235.3, <br />131 65 <br />20 <br />1606.9 <br />221.1 <br />•'20 <br />1901.5 <br />336.3 <br />30 <br />1244.0 <br />133.50 <br />30 <br />1615.9 <br />223.6 <br />30 <br />2000.9 <br />339.3 <br />40 <br />.1252.8 <br />135.35 <br />40 <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 />139.11 <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 />354.9 <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 />146.70 <br />40 <br />1679.1 <br />241.0 <br />40 <br />2060.6 <br />361.3 <br />50 <br />1314.0 <br />148.75 <br />50 <br />16&8.1 <br />243.5 <br />50 <br />2016.0 <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 />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 />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 />1300.8 <br />160.76 <br />•50 <br />1742.6 <br />259.1 <br />50 <br />2132.7 <br />384.1 <br />227' ' <br />1375.6 <br />162.81 <br />34 <br />1751.7 <br />261:8 <br />41 <br />2142.2 <br />357.4 <br />10 <br />1384.4 <br />'164.86. <br />10. <br />1760.8 <br />- 264.5 <br />10 <br />2151.7 <br />390.7 <br />20 <br />1393.2 <br />166.95 <br />20 <br />2G7.2 <br />20 <br />2161.2 <br />394.1 <br />30 <br />1402.0 <br />169.04 <br />30 <br />_1270.0 <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 />50 <br />1797.4 <br />275.3 <br />50 <br />2159.9 <br />404.2 <br />-28 <br />1425.6 <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 />1515.7 <br />250.8 <br />10 <br />'2209.0 <br />411.1 <br />20 <br />1446:3 <br />179.72 <br />20 <br />1824.9 <br />2S3.6 <br />20 <br />2215.6 <br />414.5 <br />30 <br />1455.1 <br />181.59 <br />30 <br />1534.1 <br />2S6.4 <br />30 <br />2228.1 <br />418.0 <br />40 <br />14&1.0 <br />184.05 <br />40 <br />1S43.3 <br />259.2 <br />40 <br />2237.7 <br />421.4 <br />50 <br />1472.9 <br />18G.29 <br />50 <br />1852.5 <br />292.0 <br />50 <br />2247.3 <br />1 425.0 <br />.Corrections to be Added (T =Tangent. E = External.) <br />Int. <br />A ogle <br />rve <br />Cu5° <br />10° <br />15° 20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50' <br />550 <br />600 <br />65° 70° <br />20° <br />T=.00 <br />.13 <br />.19 .26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.79 <br />.34 .90 <br />E=.000 <br />.011 <br />.017 .022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 <br />.063 <br />-.070 <br />.076 .083 <br />25° <br />T=.08 <br />.16 <br />-.24 .33 <br />.40 <br />.49 <br />.53 <br />.67 <br />.75 <br />.83 <br />-.90 <br />.99 <br />1.06 1.14 <br />E=.009 <br />.018 <br />.027 .036 <br />.046 <br />.056 <br />.065 <br />.074 <br />.GS3 <br />.093 <br />.106 <br />.120 <br />.127 .135 <br />30' <br />T=.10 <br />.19 <br />.29 .39 <br />.49 <br />.59 <br />.69 <br />.79 <br />.89 <br />.99 <br />1.09 <br />1.20 <br />1.29 1.39 <br />E=.013 <br />.025 <br />.038 .051 <br />.065 <br />.078 <br />.090 <br />.103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 .168 <br />35° <br />T,ii <br />.22 <br />.34 .47 <br />1,.53.60 <br />.80 <br />.93 <br />1.05 <br />1.17 <br />1.29 <br />1.42 <br />1.54 1.66 <br />E =.018 <br />.035 <br />.054 .072 <br />.080 <br />.109 <br />.131 <br />.153 <br />.175 <br />.197 <br />213 <br />.230 <br />-N7 .264 <br />40° <br />T=.13 <br />1 .20 <br />.40 .53 <br />.07 <br />.80 <br />.03 <br />1.06 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 1.9.1 <br />E=.023 <br />.046 <br />.070 .093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 .341 <br />45° <br />T=.15 <br />1 .30 <br />.44 .60 <br />.76 <br />.91 <br />1.06 <br />1.21 <br />11.37 <br />i 1.52 <br />1.70 <br />1.87 <br />2.04 2.21 <br />E=.030 <br />.060 <br />.093 .119 <br />.153 <br />.184 <br />.216 <br />.254 <br />.239 <br />.325 <br />.351 <br />.378 <br />.411 .445 <br />