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1、帶有緩和曲線的圓曲線逐樁坐標計算例題:某山嶺區(qū)二級公路,已知交點的坐標分別為JD1(40961.914,91066.103)、JD2(40433.528,91250.097)、JD3(40547.416,91810.392),JD2里程為K2+200.000,R=150m,緩和曲線長度為40m,計算帶有緩和曲線的圓曲線的逐樁坐標。(《工程測量》第202頁36題)解:(1)轉角、緩和曲線角、曲線常數、曲線要素、主點里程、主點坐標計算1坐標方位角2轉角(左轉曲線)3緩和曲線角4曲線內移值5切線增長值6曲線要素切線長曲線長外距切曲差7主點里程ZH樁號(樁號)K2+0
2、48.562HY樁號(樁號)K2+088.562YH樁號(樁號)K2+263.998HZ樁號(樁號)K2+303.998QZ樁號(樁號)K2+176.280JD樁號(樁號)K2+200.0008主點坐標ZHHZQZ方法一:偏角法(坐標正算)(2)第一緩和段坐標計算樁號弧長偏角方位角(左轉)弦長XiYiZH:K2+048.5620160480340576.54391200.296+06011.43801230160353311.43840565.75491204.097+08031.43813423159134031.43840547.14992211.446H
3、YK2+088.5624023247158151639.96840539.41991215.104(3)圓曲線段坐標計算樁號弧長偏角方位角(左轉)弦長XYHY:K2+088.562153094140539.41991215.104+10011.43821104150583711.43540529.42091220.652+12031.43860015147092631.38040513.05591232.122+14051.438949261432015+16071.4381338371393104QZ:K2+176.28087.718164510136243
4、186.47340476.78991274.728+18091.438+200111.438+220131.438+240151.438+260171.438YH:K2+263.998175.4363330211193920165.60640457.48091359.018(4)第二緩和段坐標計算樁號弧長偏角方位角(左轉)弦長XiYiYH:K2+263.9984023247261032439.96840457.48091359.018+28023.99805500259253723.99640459.29091374.911+3003.998001322583
5、0373.99840462.89791394.582HZK2+303.998258303740463.69391398.500方法二:切線支距法(坐標系轉換)(2)第一緩和段坐標計算(本題為左轉曲線)樁號XiYiZH:K2+048.562040576.54391200.296+06011.43811.4380.04240565.75591204.096+08031.43831.4170.86340547.15692211.446HYK2+088.5624039.9291.77840539.41991215.104(3)圓曲線段坐標計算p=0.444mq=19.
6、988mZH(40576.543,91200.296)樁號XiYiHY:K2+088.56240539.41991215.104+10011.43812003051.1963.72640529.41991220.651+12031.43819385270.4249.17740513.05291232.122+14051.438271714+16071.438345536QZ:K2+176.28087.718410843118.68437.48740476.78891274.728+18091.438423358+200111.438+220131.438+24
7、0151.438+260171.438YH:K2+263.998175.436743904164.638110.74040457.47991359.018(4)第二緩和段坐標計算(本題為左轉曲線)樁號XiYiYH:K2+263.9984039.9291.77840457.48291359.017+28023.99823.9920.38440459.29091374.912+3003.9983.9980.00240462.89891394.582HZK2+303.99840463.69391398.500