1、+160精心整理+160精心整理精心整理精心整理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）解：（1）轉(zhuǎn)角、緩和曲線角、曲線常數(shù)、曲線要素、主點(diǎn)里程、主點(diǎn)坐標(biāo)計(jì)算1坐標(biāo)方位角a12160。4803a2378。30372轉(zhuǎn)角a（左轉(zhuǎn)曲線）82。17263緩和曲線角卩二卩二LX空Oh2R

2、兀7。3822”4曲線內(nèi)移值L2p=S24R0.444m5切線增長(zhǎng)值LLq=ss2240R219.988m6曲線要素切線長(zhǎng)aT=(R+p)tanbqh2151.438m曲線長(zhǎng)兀L=R(a2P)+2Lh0180SL=255.436mhL=175.436my外距/、aE=(R+p)secR49.781m切曲差D=2TLhhh47.440m7主點(diǎn)里程ZH樁號(hào)ZH=JD（樁號(hào)）-ThK2+048.562HY樁號(hào)HY=ZH(樁號(hào))+LSK2+088.562YH樁號(hào)YH=HY(樁號(hào))+LyK2+263.998HZ丿樁號(hào)HZ=YH（樁號(hào)）+LSK2+303.998QZ樁號(hào)QZ=HZ(樁號(hào))-L/2K2+17

3、6.280JD樁號(hào)JD=QZ(樁號(hào))+D/2K2+200.0008主點(diǎn)坐標(biāo)ZHX=X+Tcosa7H2h2140576.543mY=Y+TsinaZH2h2191200.296mHZX=X+TcosaHZ2h2340463.693mY=Y+TsinaHZ2h2391398.500mQZa=a-(180oa)Eh23229。3920X=X+EcosaQZ2hEh40476.788mY=Y+EsinaQZ2hEn91274.728m方位角（左轉(zhuǎn)）弦長(zhǎng)Xg*a=a-B=153。0941切線ZYJD0樁號(hào)里程K221104150583710+12060015長(zhǎng)31.438l-=樁點(diǎn)里程-H11.438

4、a=aB1530941a=方位角（左轉(zhuǎn)）弦長(zhǎng)Xg*a=a-B=153。0941切線ZYJD0樁號(hào)里程K221104150583710+12060015長(zhǎng)31.438l-=樁點(diǎn)里程-H11.438a=aB1530941a=a-B-AciZYJD0i90Q兀（3）圓曲線段坐標(biāo)計(jì)+14051.43871.43894926133837c=2RsinAii11.43514709261432015139310431.380X=X+cco致ihyic-40539.41940529.42040513.055Y=Y+csina.tHYcT91215.10491220.65291232.122（2）第一緩和段坐標(biāo)

5、計(jì)算b二7。38,225二160。4803012樁號(hào)弧長(zhǎng)l-=樁點(diǎn)里程-ZY里程偏角1riA=一rBi3(L丿0Sy方位角a=aA（左轉(zhuǎn)廠弦長(zhǎng)c=l亠ii-90R2L2SXiX=X+ccosaiZHic-YiY=Y+csinaiZHic-ZH：K2+048.5620160480340576.54391200.296+06011.43801230160353311.43840565.75491204.097+08031.43813423159134031.43840547.14992211.446HYK2+088.5624023247158151639.96840539.41991215.104

6、QZ：K2+176.28087.718164510136243186.47340476.78991274.728+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(biāo)計(jì)算0二738220樁號(hào)弧長(zhǎng)=HZ里程-樁點(diǎn)里程偏角1(iA=_0i3(L丿0方位角a=a+A(左轉(zhuǎn))弦長(zhǎng)c=1亠ii-90R2LSXiX=X+ccosaiHZicjYiY=Y+csinaiHZicjYH：K2+263.998402324726

7、1032439.96840457.48091359.018+28023.99805500259253723.99640459.29091374.911+3003.9980013225830373.99840462.89791394.582HZK2+303.998a32258303740463.69391398.500精心整理精心整理精心整理精心整理方法二：切線支距法（坐標(biāo)系轉(zhuǎn)換）（2）第一緩和段坐標(biāo)計(jì)算二160。480312X=X+xcosa+ysinaY=Y+xsina一ycosa（本題為左轉(zhuǎn)曲線）iZH1212iZH1212樁號(hào)-=樁點(diǎn)里程-ZY里程,15x一l-40R2L1317y一6R

8、L336R3L3XiYiZH：K2+048.5620sSS40576.54391200.296+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(biāo)計(jì)算00=7O3822p=.444mq=19.988mJ160。A803ZH(40576543,91200.296)X=X+xcosa+ysinaY=Y+xsina一ycosaiZH12l-12iZH1242樁號(hào)l-=樁點(diǎn)里程-HY里程180vl

9、肘叫xp=Rsin申+qyp=R(1-cos+pXiYiHY：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+240151.438+260171.438YH：K2+263.998175.436743904164.638110.74040457.47991359.018(4)第二緩和段坐標(biāo)計(jì)算a二78。303712X=X-xcosa+ysinaY=Y一xsina一ycosa(本題為左轉(zhuǎn)曲線)iHZ2323iHZ2323樁號(hào)l=樁點(diǎn)-ZYi里程里程,i5x一l一40R2L1317y一6RL336R3L?ccXiYiYH