道路勘测设计习题及答案

例题7?3?主点桩桩号计算JD5 K1+300-T 65.937ZH K1+234.063+Ls 40.000HY K1+274.063+Ly 51.103YH K1+325.166YH K1+325.166+Ls 40.000HZ K1+365.166-L2 65.552QZ K1+299.614+D2 0.386JD5 K1+300 桩号计算校核无误例题8在平原区某二级公路设计速度为80km/h,有一弯道R=250m,交点JD的桩号为K17+568.38,转角α=38°30′00″,该平曲线为对称的基本型曲线,试定该曲线的缓和曲线长,并计算设置缓和曲线后的平曲线几何要素。?1?确定缓和曲线长LL?0.036V3R?0.036?R9803250?73.728(m)L?V1.2?801.2?66.667(m):R?2509L?B??ip由R3?A?R得L??250?27.778:250(m)取整数,L?75(m)

例题9?已知某段山岭区三级公路,设计速度为30km/h,交点4为右偏75o30 ‘,交点5为左偏49o20 ’,两点间的距离为248.52m,交点4为基本型曲线,其半径值为100m,缓和曲线长为60m,试定交点5的曲线半径和缓和曲线长。解题思路?????分析已知条件,计算交点4的几何要素;确定线形组合形式(反向曲线间最小直线长度);初拟缓和曲线长,试算半径;检查组合线形的技术要求是否满足,若满足,则选定半径和缓和曲线长(一般为5或10的整数倍),若不满足,则重新拟定缓和曲线长,再试算半径,直至满足技术要求。?1?计算JD4基本型曲线的几何要素q=Ls2p?L2s24?R60?240?R2?60??29.938(m)2240?1202L3s360?2688?R3?2460??1.247(m)?1202688?1203soL4s247530?T?(R?p)tan?2?q??120?1.247?tan2?29.938?123.817(m)??Ly????2?0?180R??75o30??2?14.324??180?120?98.127(m)o60?0?28.6479LR?28.6479?120?14.324()L?Ly?2Ls?98.127?2?60?218.127(m)?2?确定JD5的平曲线形式、半径R、缓和曲线长Ls根据已知条件分析得,JD4和JD5构成S型曲线,则:T5=248.52-123.817=124.703(m)设Ls5?60m,则q?oLs2?30(m);p?L2s24R60150?24?R?R(m)24920??(R?150,解此方程得:R=205.595(m)R)tan2?30?124.703

?3?计算JD5基本型曲线的几何要素并检查技术要求满足情况q=p?Ls260?240?R2?60??29.979(m)2240?205.5852L4s60224?205.585L3s3L2s24?R?2688?R3?s?6042688?205.5853?0.729(m)o60?0?28.6479LR?28.6479?205.585?8.361()4920?T?(R?p)tan?2?q??205.585?0.729?tan2?29.979?124.727(m)o??Ly????2?0?180R??49o20??2?8.361??180?205.585?117.014(m)A4?R4Ls4?120?60?84.853A5?R5Ls5?205.585?60?111.063A5/A4?111.063/84.853?1.3经检查符合各项技术要求,所以R5?205.585m,Ls5?60m。例题8?2?计算基本型曲线的几何要素q?Ls275?240R2?75??37.472(m)2240?2502L3s3p?L2s24R?2688R3?sL4s75224?25075?2688?0.937(m)?2503o4o75?0?28.6479LR?28.6479?250?8.594()3830?T?(R?p)tan?2?q??250?0.937?tan2?37.472?125.103(m)??Ly????2?0?180R??38o30??2?8.594??180?250?92.991(m)L?Ly?2Ls?92.991?2?75?242.991(m)17o24?E?(R?p)sec??R?300?0.222sec??22?300?3.717(m)D?2T?L?2?125.103?242.991?7.215(m)

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