帶有緩和曲線的圓曲線逐樁坐標計算例題

帶有和緩曲線的圓曲線逐樁坐標籌算例題：某山嶺區(qū)二級公路,已深交點的坐標分別為JD140961.914,91066.103）.JD2（40433.528,91250.097）.JD3（40547.416,91810.392）,JD2里程為K2+200.000,R=150m,和緩曲線長度為40m,籌算帶有和緩曲線的圓曲線的逐樁坐標.（《工程丈量》第202頁36題）解：（1）轉(zhuǎn)角.和緩曲線角.曲線常數(shù).曲線因素.主點里程.主點坐標籌算1坐標方向角121604803237830372轉(zhuǎn)角（左轉(zhuǎn)曲線）8217263和緩曲線角ohLS180738222R24曲線內(nèi)移值pLS0.444m24R5切線增添值qLSL3S19.988m2240R2切線長6曲線曲線長因素外距切曲差ZHHY7主點YH里程HZQZJDZH8主點HZ坐標QZ

Th(Rp)tan2qLhR(20)1802LSEh(Rp)secR2Dh2ThLh樁號ZHJD（樁號）Th樁號HYZH（樁號）LS樁號YHHY（樁號）Ly樁號HZYH（樁號）LS樁號QZHZ（樁號）Lh/2樁號JDQZ（樁號）Dh/2XZHX2Thcos21YZHY2Thsin21XHZX2Thcos23YHZY2Thsin23Eh23-1(180)2XQZX2EhcosEh

151.438mLh255.436mLy175.436m49.781m47.440mK2K2K2K2K2K240576.543m91200.296m40463.693m91398.500m29392040476.788mYQZY2EhsinEh91274.728m方法一：偏角法（坐標正算）（2）第一和緩段坐標籌算073822121604803樁號弧長偏角i樁點里程-ZY里程1li2li03LSZH:0K2+06011.43801230+08031.43813423HY4023247K2（3）圓曲線段坐標籌算切線樁號弧長偏角li樁點-HYli90里程里程iRHY:K2+1003821104+12033860015160738133837QZ:164510K2+180+200+220+240+260YH:K2333021（4）第二和緩段坐標籌算0樁號弧長偏角lHZ-樁點1li2i里程里程i03LSYH:4023247K2+2+28005500

方向角弦長XiYici12icili5XiXZHcicosciYiYZHcisinci(左轉(zhuǎn))li90R2LS216048031603533385491204.09715913403849461581516ZYJD-01530941方向角(左轉(zhuǎn))弦長XYciZYJD-0-ici2RsiniXiXHYcicosciYiYHYcisinci切線ZYJD0991215.104153094115058371470926143201513931041362431119392073822方向角弦長XiYici32il5XiXHZcicosciYiYHZcisincicilii(左轉(zhuǎn))90R2LS226103242592537901+300001322583037HZ3240463.693910K22583037方法二：切線支距法（坐標系變換）（2）第一和緩段坐標籌算XiXZHxcos12ysin12YiYZHxsin12ycos12（此題為左轉(zhuǎn)曲線）樁號li樁點里程-ZY里程l5yl3l7XiYixl226RLS336R3340RLsLSZH:0K2+06056+0805646HYK240（3）圓曲線段坐標籌算073822p=q=121604803ZH（,）樁號HY:K2

li樁點-HY180li0xPRsinqyPR1cospXiY里程里程Ri+10012003091220.651+120338193852222+140538271714+160738345536QZ:4108438K2+180423358+200+220+240+260YH:K274390479（4）第二和緩段坐標籌算XiXHZxcos23ysin23YiYHZxsin23ycos23（