ISSN 1000-3665 CN 11-2202/P

    放坡状态有限土体刚性挡土墙主动土压力研究

    Active earth pressures against rigid retaining walls for finite soil under the grading condition

    • 摘要: 针对现有有限土体刚性挡土墙主动土压力研究大都集中于临近建筑物墙体或地下室外墙的狭窄土体,相邻基坑、路堤与切坡挡土墙形成放坡状态有限土体研究甚少,本文考虑填土黏聚力及墙土间黏结力、墙土间摩擦作用、墙背倾角及填土顶面竖向荷载等的影响,利用刚体极限平衡理论进行研究。根据相邻基坑与边坡挡土墙放坡状有限土体的工程特性,分析挡土墙平动位移模式下平面滑动破裂面的形成特征,建立放坡状态有限土体主动土压力计算模型,并利用数值计算方法可以求解。通过对放坡状有限土体主动土压力进行算例分析与参数分析,表明极限破裂角与宽高比、黏聚力、墙背倾角及墙土间外摩擦角为负相关,不同黏聚力下随着宽高比增大,极限破裂角趋近于考虑黏聚力作用库伦方法得到的极限破裂角值,不同黏聚力下有限土体宽度临界值亦是变化的;主动土压力随黏聚力、墙背倾角及墙土外摩擦角增大而减小,随着宽高比增大而增大并逐步趋近于库伦方法计算的土压力值。最后,通过模型试验验证表明按本文方法计算的极限破裂角与实测破裂角吻合,PIV系统测试得到的临界宽高比与库伦方法的结果一致。

       

      Abstract: The active earth pressure against rigid retaining walls with narrow backfill adjacent existing surrounding buildings or basements has widely been studied. However, the finite soil under the grading condition behind the retaining walls of excavations, embankments and cutting slopes is seldom examined. In this paper, the rigid body limit equilibrium theory is introduced. The influence parameters, such as the soil cohesion, the cohesive force between soil and wall, the wall friction, the inclination angle of walls, and the surcharge on top of the backfill are considered in this study. The plane sliding failure surface is analyzed under the translation mode, combining with the characteristics of the finite soil under the grading condition behind the retaining walls. The formulae for calculating the active pressure for the finite soil is presented, which can easily be solved by using the numerical calculation method. The calculation example analysis and parameter analysis about the active earth pressure for the finite soil under the grading condition are put forward. The results show that the limit rupture angle is not constant and it will decrease with the increasing ratios of the width to height, the soil cohesion, the inclination angle of walls, and the wall friction. The limit rupture angle will tend to the value based on the Coulomb’s active earth pressure formulae considering the soil cohesion with the increasing ratios under different soil cohesions. The threshold of the limited width varies with soil cohesion. Meanwhile, the active earth pressure will decrease with the increasing soil cohesion, the inclination angle of wall, the wall friction. It will increase with the increasing ratios, which will gradually tend to the value with the Coulomb’s method. The calculated rupture angle approaches the tested angle through the model test, and the threshold of the ratios of the width to height tested by the PIV test system approaches the value with the Coulomb’s method.

       

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