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针对经典朗肯、库仑土压力理论公式适用范围相对有限的问题,基于土压力理论与土坡稳定计算理论间的联系,在库仑理论的平面滑裂面假设条件下,采用微分单元化后的Bishop条分法,通过建立微元土条的水平、竖向受力平衡方程,推导出均布超载条件下的粘性土主被动土压力计算式,并给出临界破裂角的显式解答。相应简化条件下,该公式能简化为经典朗肯和库仑理论计算公式。算例分析结果表明,该公式理论计算值与试验实测值基本吻合,初步验证了公式的合理性;由于未考虑粘性填土开裂问题,现行规范方法得到的主动土压力偏小。
Aiming at the problem of relatively limited scope of classical Rankine and Coulomb’s theory of soil pressure, based on the relation between earth pressure theory and theory of slope stability calculation, under the assumption of Coulomb’s theory of plane slip surface, Bishop By dividing the horizontal and vertical balance equations of the soil, the formulas of the primary and secondary earth pressures of clay are deduced under the condition of uniform loading and the explicit solutions of the critical cracking angle are given. Under the corresponding simplified conditions, the formula can be simplified to classical Rankine and Coulomb theoretical formula. The results of the example analysis show that the theoretical calculated value of the formula is in good agreement with the experimental value, and the rationality of the formula is verified preliminarily. The active earth pressure obtained by the current standard method is small because the problem of viscous filling is not considered.