帶有緩和曲線的圓曲線逐樁坐標(biāo)計(jì)算例題.doc

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1、帶有緩和曲線的圓曲線逐樁坐標(biāo)計(jì)算例題：某山嶺區(qū)二級(jí)公路，已知交點(diǎn)的坐標(biāo)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(zhǎng)度為40m,計(jì)算帶有緩和曲線的圓曲線的逐樁坐標(biāo)。（《工程測(cè)量》第202頁(yè)36題）1坐標(biāo)方位角1223轉(zhuǎn)角緩和曲線角23（左轉(zhuǎn)曲線）1604803783037821726LS2R180oh738224曲線內(nèi)移值pLS224R0.444m5切線增長(zhǎng)值qLSL3S切線長(zhǎng)Th2(R240R2p)ta

2、n219.988mq151.438m6曲線要素曲線長(zhǎng)LhR(外距切曲差Eh(R20)180p)sec2Lh2LSLh255.436mLy175.436mR49.781mDh2Th47.440m7ZHXZHX2YZHY2XHZX2YHZY2Eh23ThcosThsinThcosThsin-1(1802121238主點(diǎn)坐標(biāo)HZ2340576.543m91200.296m40463.693m91398.500m2)293920QZXQZYQZX2EhcosEhY2EhsinEh40476.788m91274.728m解：（1）轉(zhuǎn)角、緩和曲線角、曲線常數(shù)、曲線要素、主點(diǎn)里程、主

3、點(diǎn)坐標(biāo)計(jì)算ZH樁號(hào)ZHJD（樁號(hào)）ThK2+048.562HY樁號(hào)HYZH（樁號(hào)）LSK2+088.562主點(diǎn)YH樁號(hào)YHHY（樁號(hào)）LyK2+263.998里程HZ樁號(hào)HZYH（樁號(hào)）LSK2+303.998QZ樁號(hào)QZHZ（樁號(hào)）Lh/2K2+176.280JD樁號(hào)JDQZ（樁號(hào)）Dh/2K2+200.000方法一：偏角法（坐標(biāo)正算）（2））第一緩和段坐標(biāo)計(jì)算073822121604803樁號(hào)弧長(zhǎng)偏角方位角弦長(zhǎng)XiYil樁點(diǎn)-ZY1li3L20ci12i(左轉(zhuǎn))c5lliSXXZHccosYYcsinciZH:K2+048.5620160480340576.54

4、391200.296i里程里程iSiii90R2L2iciiZHi+06011.43801230160353311.43840565.75491204.097+080HY31.43813423159134031.43840547.14992211.446K2+088.5624023247158151639.96840539.41991215.104（3））圓曲線段坐標(biāo)計(jì)算切線ZYJD-01530941樁號(hào)弧長(zhǎng)偏角方位角(左轉(zhuǎn))弦長(zhǎng)XYiYYcsinli樁點(diǎn)里程-HY里程li90iRciZYJD-0-ici2RsiniXiXHYcicosci

5、HYiciHY:切線ZYJD0K2+088.562153094140539.41991215.104+10011.43821104150583711.43540529.42091220.652+12031.43860015147092631.38040513.05591232.122+14051.438949261432015+16071.4381338371393104QZ:K2+176.280+18091.438+200111.438+220131.438+240151.438+260171.43887.718164510136243186.47340476.7

6、8991274.728YH:K2+263.998175.4363330211193920165.60640457.48091359.018樁號(hào)弧長(zhǎng)偏角方位角弦長(zhǎng)XiYilHZ-樁點(diǎn)2i里程里程1lci32icll5iXXiHZccosiciYYcsiniHZiciiii22i3LS0(左轉(zhuǎn))90RLSYH:4023247261032439.96840457.48091359.018（2））第二緩和段坐標(biāo)計(jì)算073822K2+263.998+28023.99805500259253723.99640459.29091374.911+3003.99800132258303

7、73.99840462.89791394.582HZK2+303.99832258303740463.69391398.500方法二：切線支距法（坐標(biāo)系轉(zhuǎn)換）（2））第一緩和段坐標(biāo)計(jì)算121604803XiXZHxcos12ysin12YiYZHxsin12ycos12（本題為左轉(zhuǎn)曲線）樁號(hào)li樁點(diǎn)里程-ZY里程l5xls40R2L2l3y6RLSl7S336R3L3XiYiZH:K2+048.562+060+080HYK2+088.562040576.54391200.29611.43811.4380.04240