带有缓和曲线的圆曲线逐桩坐标计算例题

带有缓和曲线的圆曲线逐桩坐标计算例题带有缓和曲线的圆曲线逐桩坐标计算例题/NUMPAGES9带有缓和曲线的圆曲线逐桩坐标计算例题带有缓和曲线的圆曲线逐桩坐标计算例题带有缓和曲线的圆曲线逐桩坐标计算例题：某山岭区二级公路，已知交点的坐标分别为JD1（40961.914,91066.103）、JD2（40433.528,91250.097）、JD3（40547.416,91810.392），JD2里程为K2+200.000，R=150m,缓和曲线长度为40m,计算带有缓和曲线的圆曲线的逐桩坐标。（《工程测量》第202页36题）解：（1）转角、缓和曲线角、曲线常数、曲线要素、主点里程、主点坐标计算1坐标方位角2转角（左转曲线）3缓和曲线角4曲线内移值5切线增长值6曲线要素切线长曲线长外距切曲差7主点里程ZH桩号（桩号）K2+048.562HY桩号（桩号）K2+088.562YH桩号（桩号）K2+263.998HZ桩号（桩号）K2+303.998QZ桩号（桩号）K2+176.280JD桩号（桩号）K2+200.0008主点坐标ZHHZQZ方法一：偏角法（坐标正算）（2）第一缓和段坐标计算桩号弧长偏角方位角(左转)弦长XiYiZH:K2+048.5620160480340576.54391200.296+06011.43801230160353311.43840565.75491204.097+08031.43813423159134031.43840547.14992211.446HYK2+088.5624023247158151639.96840539.41991215.104（3）圆曲线段坐标计算桩号弧长偏角方位角(左转)弦长XYHY:K2+088.562153094140539.41991215.104+10011.43821104150583711.43540529.42091220.652+12031.43860015147092631.38040513.05591232.122+14051.438949261432015+16071.4381338371393104QZ: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）第二缓和段坐标计算桩号弧长偏角方位角(左转)弦长XiYiYH:K2+263.9984023247261032439.96840457.48091359.018+28023.99805500259253723.99640459.29091374.911+3003.9980013225830373.99840462.89791394.582HZK2+303.998258303740463.69391398.500方法二：切线支距法（坐标系转换）（2）第一缓和段坐标计算（本题为左转曲线）桩号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）圆曲线段坐标计算p=0.444mq=19.988mZH（40576.543,91200.296）桩号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+240151.438+260171.438YH:K2+263.998175.436743904164.638110.74040457.47991359.018（4）第二缓和段坐标计算（本题为左转曲线）桩号XiYiYH:K2+263.9984039.9291.77840457.48291359.0