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为了寻求一种简单明了且适应边界条件较广的土压力计算方法,引入土体半无限平衡理论,改进了库仑土压力理论。首先,假定了过墙踵点的假想直立墙背,基于半无限平衡条件的朗肯理论给出假想墙背的主动压应力,然后通过假想墙背与真实墙背之间楔形体的极限平衡分析,提出真实墙背的主动土压力计算方法。根据真实墙背的摩擦条件,分别推导出了两种条件下的计算公式。通过算例对比得出了本文方法的适用性,并分析了该方法的参数敏感性。计算结果表明:本文方法土压力值与用库仑理论计算值相比误差在±5%以内,满足工程的精度要求,且在计算参数正常取值范围内,较库仑土压力原理计算值较小,可以作为库仑主动土压力计算方法的一种等效计算法。
In order to find a simple and clear calculation method of earth pressure which is suitable for a wide range of boundary conditions, the semi-infinite equilibrium theory of soil is introduced to improve Coulomb’s earth pressure theory. First of all, assuming that the imaginary vertical wall back of the heel point, Rankine’s theory based on the semi-infinite equilibrium condition gives the active compressive stress of the imaginary wall, and then through the limit equilibrium analysis of the wedge between the imaginary wall back and the real wall back , Put forward the calculation method of active earth pressure of real wall back. According to the real wall back friction conditions, the formulas of two kinds of conditions are deduced respectively. The applicability of the method in this paper is obtained through the comparison of examples, and the parameter sensitivity of the method is analyzed. The calculation results show that the error between the earth pressure and the calculated value of Coulomb theory is within ± 5%, which meets the requirements of engineering accuracy. And the calculated value is smaller than the Coulomb’s earth pressure principle within the normal range of calculation parameters, It can be used as an equivalent method to calculate coulomb active earth pressure.