挡墙后粘性土被动土压力的薄层微元法
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摘要
基于水平层分析法的思想,采用薄层微元法,推导了考虑挡墙墙高、墙背倾角、填料面仰角、均布超载、填料重度、填料摩擦角、填料与墙背粘结力和摩擦角(外摩擦角)等条件下的粘性土被动土压力公式的解析解,采用图解法给出了临界破裂角的显式解答。并分析了这些因素对被动土压力临界破裂角、被动土压力强度分布、土压力合力大小和作用点位置的影响。结果表明,被动土压力强度沿墙高呈非线性分布;现行库伦和朗肯理论下的被动土压力公式均为被动土压力公式在相应简化假设条件下的一种特例。墙背倾角、填料面仰角、均布超载、填料粘聚力、内摩擦角、外摩擦角等对被动土压力大小和分布情况影响显著,填料重度对土压力合力作用点影响不大。
Based on the thought of horizontal layer analysis,thin-layer micro-element method was suggested to deduce the passive earth pressure formula of cohesive soil considering the height of retaining wall,batter angle of wall back,elevation angle of filler,equispaced overloading,gravity and internal friction angle of filler,cohesion and external friction angle between filler and wall back.Explicit solution of critical rupture angle was obtained by graphic method.The effects of these parameters on critical rupture angle,distribution,resultant force and application position of passive earth pressure were analyzed.The results show that(1) the distribution of passive earth pressure along the height of retaining wall is non-linear;(2) Coulomb and Rankine passive earth pressure formulas are special cases of passive earth pressure formula under corresponding simplified assumptions;(3) the passive earth pressure and its distribution are greatly affected by the factors such as batter angle of wall back,elevation angle of filler,equispaced overloading,cohesion of filler,internal friction angle and external friction angle of filler,while gravity makes little effect on application position of resultant force of passive earth pressure.
Based on the thought of horizontal layer analysis,thin-layer micro-element method was suggested to deduce the passive earth pressure formula of cohesive soil considering the height of retaining wall,batter angle of wall back,elevation angle of filler,equispaced overloading,gravity and internal friction angle of filler,cohesion and external friction angle between filler and wall back.Explicit solution of critical rupture angle was obtained by graphic method.The effects of these parameters on critical rupture angle,distribution,resultant force and application position of passive earth pressure were analyzed.The results show that(1) the distribution of passive earth pressure along the height of retaining wall is non-linear;(2) Coulomb and Rankine passive earth pressure formulas are special cases of passive earth pressure formula under corresponding simplified assumptions;(3) the passive earth pressure and its distribution are greatly affected by the factors such as batter angle of wall back,elevation angle of filler,equispaced overloading,cohesion of filler,internal friction angle and external friction angle of filler,while gravity makes little effect on application position of resultant force of passive earth pressure.
引文
[1]顾慰慈.挡土墙土压力计算手册[M].北京:中国建材工业出版社,2005.GU Weici.Calculation Manual of Earth Pressure ofRetaining Wall[M].Beijing:China Materials BuildingIndustry Press,2005.
[2]刘华强,黄景忠.垂直挡墙上土压力计算方法的拓展[J].公路交通科技,2007,24(9):16-18,23.LIU Huaqiang,HUANG Jingzhong.Extension ofCalculation Method of the Earth Pressure on RetainingWall[J].Journal of Highway and Transportation Researchand Development,2007,24(9):16-18,23.
[3]卢廷浩.考虑粘聚力及墙背粘着力的主动土压力公式[J].岩土力学,2002,23(4):470-473.LU Tinghao.AFormula of Active Earth Pressure IncludingCohesion and Adhesion[J].Rock and Soil Mechanics,2002,23(4):470-473.
[4]年廷凯,栾茂田.均布荷载作用下挡土墙后粘性土填土的土压力计算[J].岩土力学,2002,23(1):17-22.NIANTingkai,LUAN Maotian.Earth Pressure Computationsof Cohesive Backfill with Inclined Surface under Surchargeby Limit Analysis[J].Rock and Soil Mechanics,2002,23(1):17-22.
[5]胡晓军.粘性土主动土压力库伦精确解的改进[J].岩土工程学报,2006,28(8):1049-1052.HU Xiaojun.Improvement on Coulumb Accurate Solutionof Active Earth Pressure to Cohesive Soil[J].ChineseJournal of Geotechnical Engineering,2006,28(8):1049-1052.
[6]李巨文,王翀,梁永朵,等.挡土墙后粘性土的主动土压力计算[J].岩土工程学报,2006,28(5):650-652.LI Juwen,WANG Chong,LIANG Yongduo,et al.Computation of Earth Pressure of Cohesive Backfill onRetaining Wall[J].Chinese Journal of GeotechnicalEngineering,2006,28(5):650-652.
[7]章广成,唐辉明,颜少枝,等.挡土墙土体复合破裂面主动土压力分析[J].岩土力学,2007,28(11):2475-2479.ZHANG Guangcheng,TANG Huiming,YAN Shaozhi,etal.Analysis of Active Earth Pressure on Retaining Wallwith Complex Fracture Plane of Soil[J].Rock and SoilMechanics,2007,28(11):2475-2479.[8]林宇亮,杨果林,赵炼恒,等.地震动土压力水平层分析法[J].岩石力学与工程学报,2010,29(12):2581-2591.LIN Yuliang,YANG Guoling,ZHAO Lianheng,et al.Horizontal Slices Analysis Method for Seismic EarthPressure Calculation[J].Chinese Journal of RockMechanics and Engineering,2010,29(12):2581-2591.
[9]杨剑,高玉峰,程永锋,等.地震作用下倾斜挡土墙被动土压力的研究[J].岩土工程学报,2009,31(9):1391-1397.YANG Jian,GAO Yufeng,CHENG Yongfeng,et al.Passive Earth Pressure of Inclined Retaining Walls underSeismic Condition[J].Chinese Journal of GeotechnicalEngineering,2009,31(9):1391-1397.
[10]WANG Y Z.Distribution of Earth Pressure on a RetainingWall[J].Geotechnique,2000,50(1):83-88.
[11]SREEVALSA K,PRIYANKA G.Seismic Active EarthPressure on Walls with Bilinear Backface Using Pseudo-dynamic Approach[J].Computers and Geotechnics,2009,36:1229-1236.
[12]SHAHGHOLI M,FAKHER A,JONES C J F P.Horizontal Slice Method of Analysis[J].Geotechnique,2001,51(10):881-885.
[13]王渭漳,吴亚中.墙背土压力分布计算的新理论及其工程应用[M].北京:人民交通出版社,1996.WANG Weizhang,WU Yazhong.New Calculation Theory ofEarth Pressure Distribution on Retaining Wall and ItsEngineering Application[M].Beijing:China CommunicationsPress,1996.
[14]林智勇,戴自航,苏美选.复杂条件下挡土墙主动土压力解析解[J].岩土工程学报,2008,30(4):555-559.LIN Zhiyong,DAI Zihang,SU Meixuan.AnalyticalSolution of Active Earth Pressure Acting on RetainingWalls under Complicated Conditions[J].Chinese Journalof Geotechnical Engineering,2008,30(4):555-559.
[2]刘华强,黄景忠.垂直挡墙上土压力计算方法的拓展[J].公路交通科技,2007,24(9):16-18,23.LIU Huaqiang,HUANG Jingzhong.Extension ofCalculation Method of the Earth Pressure on RetainingWall[J].Journal of Highway and Transportation Researchand Development,2007,24(9):16-18,23.
[3]卢廷浩.考虑粘聚力及墙背粘着力的主动土压力公式[J].岩土力学,2002,23(4):470-473.LU Tinghao.AFormula of Active Earth Pressure IncludingCohesion and Adhesion[J].Rock and Soil Mechanics,2002,23(4):470-473.
[4]年廷凯,栾茂田.均布荷载作用下挡土墙后粘性土填土的土压力计算[J].岩土力学,2002,23(1):17-22.NIANTingkai,LUAN Maotian.Earth Pressure Computationsof Cohesive Backfill with Inclined Surface under Surchargeby Limit Analysis[J].Rock and Soil Mechanics,2002,23(1):17-22.
[5]胡晓军.粘性土主动土压力库伦精确解的改进[J].岩土工程学报,2006,28(8):1049-1052.HU Xiaojun.Improvement on Coulumb Accurate Solutionof Active Earth Pressure to Cohesive Soil[J].ChineseJournal of Geotechnical Engineering,2006,28(8):1049-1052.
[6]李巨文,王翀,梁永朵,等.挡土墙后粘性土的主动土压力计算[J].岩土工程学报,2006,28(5):650-652.LI Juwen,WANG Chong,LIANG Yongduo,et al.Computation of Earth Pressure of Cohesive Backfill onRetaining Wall[J].Chinese Journal of GeotechnicalEngineering,2006,28(5):650-652.
[7]章广成,唐辉明,颜少枝,等.挡土墙土体复合破裂面主动土压力分析[J].岩土力学,2007,28(11):2475-2479.ZHANG Guangcheng,TANG Huiming,YAN Shaozhi,etal.Analysis of Active Earth Pressure on Retaining Wallwith Complex Fracture Plane of Soil[J].Rock and SoilMechanics,2007,28(11):2475-2479.[8]林宇亮,杨果林,赵炼恒,等.地震动土压力水平层分析法[J].岩石力学与工程学报,2010,29(12):2581-2591.LIN Yuliang,YANG Guoling,ZHAO Lianheng,et al.Horizontal Slices Analysis Method for Seismic EarthPressure Calculation[J].Chinese Journal of RockMechanics and Engineering,2010,29(12):2581-2591.
[9]杨剑,高玉峰,程永锋,等.地震作用下倾斜挡土墙被动土压力的研究[J].岩土工程学报,2009,31(9):1391-1397.YANG Jian,GAO Yufeng,CHENG Yongfeng,et al.Passive Earth Pressure of Inclined Retaining Walls underSeismic Condition[J].Chinese Journal of GeotechnicalEngineering,2009,31(9):1391-1397.
[10]WANG Y Z.Distribution of Earth Pressure on a RetainingWall[J].Geotechnique,2000,50(1):83-88.
[11]SREEVALSA K,PRIYANKA G.Seismic Active EarthPressure on Walls with Bilinear Backface Using Pseudo-dynamic Approach[J].Computers and Geotechnics,2009,36:1229-1236.
[12]SHAHGHOLI M,FAKHER A,JONES C J F P.Horizontal Slice Method of Analysis[J].Geotechnique,2001,51(10):881-885.
[13]王渭漳,吴亚中.墙背土压力分布计算的新理论及其工程应用[M].北京:人民交通出版社,1996.WANG Weizhang,WU Yazhong.New Calculation Theory ofEarth Pressure Distribution on Retaining Wall and ItsEngineering Application[M].Beijing:China CommunicationsPress,1996.
[14]林智勇,戴自航,苏美选.复杂条件下挡土墙主动土压力解析解[J].岩土工程学报,2008,30(4):555-559.LIN Zhiyong,DAI Zihang,SU Meixuan.AnalyticalSolution of Active Earth Pressure Acting on RetainingWalls under Complicated Conditions[J].Chinese Journalof Geotechnical Engineering,2008,30(4):555-559.
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