曲线线路数据计算

1、曲线线路数据计算姓名： 田金山学号： 03专业： 铁路隧道与地下工程指导老师： 伊辉增一、 问题重述一条曲线线路由缓和曲线和圆曲线两部分组成，缓和曲线长120米，圆曲线半径为2000米，已知三个交点的坐标：（15701.000,420150.000），(15000,000,420850.000), (14064.654,421203.734)。JD8的里程为DK7+103.340。求： 切线的转向角、各曲线要素、及主要点的里程。 设计坐标系，求解曲线上各个点的坐标（缓和曲线上每隔10米定一个点，圆曲线每隔20米定一个点，考虑整弦） 把设计坐标系的坐标转化到工程坐标系中。 在求得中心点的基础上，

2、左右每隔12米建立边桩，计算左右边桩在工程坐标系下点的坐标。二、 问题分析由,R=2000,根据公式，计算出缓和曲线的切线角、切垂距、及圆曲线的内移距。切线长：，曲线长：外矢距：，切曲差：根据以上公式计算各曲线要素。由三个已知交点坐标计算,切线方向与施工坐标系的夹角为，切线方向角与施工坐标系的夹角为，曲线转向角=。计算主点里程，并对里程进行校核以直缓点，缓直点为坐标原点建立直角坐标系，由缓和曲线部分：圆曲线部分：，式中 公式分别求解直缓（缓直）点到曲中点（包括曲中）之间的坐标。再由公式计算施工坐标系坐标线路的中心点算完后，计算线路的边桩，左右边桩分别在垂直于中心点切线的直线上，由公式计算各缓和

3、曲线上中心点的切线角，由公式计算各圆曲线上各中心点的切线角，由求出边桩在自定义坐标系下点的坐标，将自定义坐标转换为工程坐标系的坐标。三、 求解计算，m，图2、转向角计算： m，m, mZH点坐标，HZ点坐标，推算里程：, 里程检核经检核，满足要求。以ZH点为坐标原点，建立平面直角坐标系，由公式求各缓和曲线坐标， 由坐标名称x坐标y坐标DK6+613.7260.000 0.000 DK6+6206.274 0.000 DK6+63016.274 0.003 DK6+64026.274 0.012 DK6+65036.274 0.033 DK6+66046.274 0.069 DK6+67056.

4、274 0.124 DK6+68066.273 0.202 DK6+69076.273 0.308 DK6+70086.272 0.446 DK6+71096.270 0.620 DK6+720106.268 0.834 DK6+730116.264 1.092 DK6+733.726119.989 1.200 公式 ，其中，计算圆曲线坐标。坐标名称x坐标y坐标DK6+750136.249 1.754 DK6+770156.230 2.616 DK6+790176.202 3.679 DK6+810196.162 4.940 DK6+830216.107 6.402 DK6+850236.04

5、0 8.063 DK6+870255.953 9.923 DK6+890275.846 11.981 DK6+910295.781 14.240 DK6+930315.567 16.696 DK6+950335.390 19.351 DK6+970355.185 22.204 DK6+990374.951 25.254 DK7+010394.685 28.503 DK7+030414.386 31.948 DK7+050434.052 35.590 DK7+070453.680 39.429 DK7+090473.268 43.464 DK7+096.85479.972 44.892 以缓圆点

6、为坐标原点建立平面直角坐标系，解得缓圆点到曲终点坐标为坐标名称x坐标y坐标DK7+579.9740.000 0.000 DK7+5709.974 0.000 DK7+56019.974 -0.006 DK7+55029.974 -0.019 DK7+54039.974 -0.044 DK7+53049.974 -0.087 DK7+52059.974 -0.150 DK7+51069.973 -0.238 DK7+50079.972 -0.355 DK7+49089.971 -0.506 DK7+48099.970 -0.694 DK7+470109.967 -0.924 DK7+460119

7、.963 -1.199 DK7+459.974119.989 -1.200 DK7+440139.951 -1.899 DK7+420159.930 -2.798 DK7+400179.890 -3.897 DK7+380199.858 -5.196 DK7+360219.801 -6.694 DK7+340239.729 -8.392 DK7+320259.639 -10.289 DK7+300279.529 -12.385 DK7+280299.396 -14.680 DK7+260319.240 -17.173 DK7+240339.058 -19.864 DK7+220358.848

8、-22.754 DK7+200378.609 -25.841 DK7+180398.337 -29.126 DK7+160418.032 -32.608 DK7+140437.690 -36.287 DK7+120457.311 -40.162 DK7+100476.892 -44.233 DK7+96.85479.972 -44.892 将自定义坐标转化为工程坐标系坐标，由公式，完成自定义坐标系到工程坐标系的转换。以ZH点为坐标原点坐标转换坐标列表如下：由公式坐标名称x坐标y坐标DK6+613.72615346.456 420504.039 DK6+62015342.016 420508.4

9、72 DK6+63015334.938 420515.536 DK6+64015327.856 420522.596 DK6+65015320.765 420529.647 DK6+66015313.663 420536.689 DK6+67015306.548 420543.715 DK6+68015299.418 420550.725 DK6+69015292.267 420557.716 DK6+70015285.094 420564.683 DK6+71015277.896 420571.625 DK6+72015270.670 420578.538 DK6+73015263.415

10、420585.419 DK6+733.72615260.702 420587.974 DK6+75015248.805 420599.072 DK6+77015234.057 420612.580 DK6+79015219.174 420625.940 DK6+81015204.159 420639.152 DK6+83015189.012 420652.249 DK6+85015173.734 420665.120 DK6+87015158.342 420677.858 DK6+89015142.298 420690.474 DK6+91015127.140 420702.918 DK6+9

11、3015111.360 420715.211 DK6+95015095.457 420727.333 DK6+97015079.434 420739.302 DK6+99015063.292 420751.110 DK7+01015047.032 420762.762 DK7+03015030.657 420774.238 DK7+05015014.168 420785.557 DK7+07014997.566 420796.710 DK7+09014980.842 420807.695 DK7+096.8514975.102 420811.422 由公式，完成自定义坐标系到工程坐标系的转换。

12、以HZ点为坐标原点坐标转换坐标列表如下：坐标名称x坐标y坐标DK7+579.97414542.041 421023.193 DK7+57014551.370 421019.665 DK7+56014560.721 421016.121 DK7+55014570.070 421012.572 DK7+54014579.415 421009.012 DK7+53014588.753 421005.434 DK7+52014598.084 421001.838 DK7+51014607.406 421998.219 DK7+50014616.717 421994.572 DK7+49014626.0

13、16 421990.894 DK7+48014635.302 420987.181 DK7+47014644.571 420983.430 DK7+46014653.824 420979.636 DK7+459.97414653.848 420979.626 DK7+44014672.272 420971.911 DK7+42014690.641 420964.003 DK7+40014708.922 420955.915 DK7+38014727.139 420947.636 DK7+36014745.263 420939.181 DK7+34014763.302 420930.543 DK7+32014781.254 420921.726 DK7+30014799.858 420912.777 DK7+28014816.887 420903.556 DK7+26014834.566 420894.204 DK7+24014852.151 420884.677 DK7+22014869.639 420874.973 DK7+20014887.030 420865.096 DK7+18014904.321 420855.045 DK7+16014921.511 420844.821 DK7+14014938.597 420834.426 D