带有缓和曲线的圆曲线逐桩坐标计算例题

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+048.562hy桩号（桩号）k2+

2、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+048.5620160 48 0340576.54391200.296+06011.4380 12 30160 35 3311.43840565.75491204.097+08031.4381 34 23159 13 4031.43840547.14992211.446hyk2+088.562402 32 47158

3、 15 1639.96840539.41991215.104 （3）圆曲线段坐标计算 桩号弧长偏角方位角(左转)弦长xyhy:k2+088.562153 09 4140539.41991215.104+10011.4382 11 04150 58 3711.43540529.42091220.652+12031.4386 00 15147 09 2631.38040513.05591232.122+14051.4389 49 26143 20 15+16071.43813 38 37 139 31 04qz:k2+176.28087.71816 45 10136 24 3186.4734047

4、6.78991274.728+18091.438+200111.438+220131.438+240151.438+260171.438yh:k2+263.998175.43633 30 21119 39 20165.60640457.48091359.018（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+263.998402 32 47261 03 2439.96840457.48091359.018+28023.9980 55 00259 25 3723.99640459.29091374.911+3003.9980 01 32258 30 373.998404

5、62.89791394.582hzk2+303.998258 30 3740463.69391398.500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+06011.43811.4380.042 40565.75591204.096+08031.43831.4170.86340547.15692211.446hyk2+088.5624039.9291.77840539.41991215.104 （3）圆曲线段坐标计算 p = 0.444m q = 19.988m zh（40576.543

6、 , 91200.296） 桩号xiyihy:k2+088.56240539.41991215.104+10011.43812 00 3051.1963.72640529.41991220.651+12031.43819 38 5270.4249.17740513.05291232.122+14051.43827 17 14+16071.43834 55 36qz:k2+176.28087.71841 08 43118.68437.48740476.78891274.728+18091.43842 33 58+200111.438+220131.438+240151.438+260171.438yh:k2+263.998175.43674 39 04164.638110.74040457.47991359.018（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+2802