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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(zhuǎn)角、緩和曲線角、曲線常數(shù)、曲線要素、主點里程、主點坐標計算1坐標方位角2轉(zhuǎn)角（左轉(zhuǎn)曲線）3緩和曲線角4曲線內(nèi)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
2、號）K2+048.562HY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(zhuǎn))弦長XiYiZH:K2+048.5620160480340576.54391200.296+06011.43801230160353311.43840565.75491204.097+08031.43813423159134031.43840547.1
3、4992211.446HYK2+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(zhuǎn))弦長XYHY:K2+088.562153094140539.41991215.104+10011.43821104150583711.43540529.42091220.652+12031.43860015147092631.38040513.05591232.122+14051.438949261432015+16071.4381338371393104QZ:K2+176.280
4、87.718164510136243186.47340476.78991274.728+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(zhuǎn))弦長XiYiYH:K2+263.9984023247261032439.96840457.48091359.018+28023.99805500259253723.99640459.290913
5、74.911+3003.9980013225830373.99840462.89791394.582HZK2+303.998258303740463.69391398.500方法二：切線支距法（坐標系轉(zhuǎn)換）（2）第一緩和段坐標計算（本題為左轉(zhuǎn)曲線）樁號XiYiZH:K2+048.562040576.54391200.296+06011.43811.4380.04240565.75591204.096+08031.43831.4170.86340547.15692211.446HYK2+088.5624039.9291.77840539.419912
6、15.104（3）圓曲線段坐標計算p=0.444mq=19.988mZH（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+1809
7、1.438423358+200111.438+220131.438+240151.438+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(zhuǎn)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
8、.69391398.500
