带有缓和曲线的圆曲线逐桩坐标计算例题

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1、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+0

2、48.562HY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+08031.43813423159134031.43840547.14992211.446H

3、YK2+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+176.28087.718164510136243

4、186.47340476.78991274.728+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+3003.998001322583

5、0373.99840462.89791394.582HZK2+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.

6、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+24

7、0151.438+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+263.9984039.9291.77840457.48291359.017+28023.99823.9920.38440459.29091374.912+3003.9983.9980.00240462.89891394.582HZK2+303.99840463.69391398.500