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假定活动门上方无黏性土滑移面为抛物线形,以滑移面间水平薄层作为分析单元,根据分析单元的静力平衡条件,推导了活动门上方侧压力系数和竖向应力计算公式。研究了模型高宽比、土体内摩擦角对竖向应力的影响。结果表明:模型高宽比、内摩擦角越大,竖向应力越小,土拱效应越明显。求解得到的竖向应力较前人理论结果更接近数值模拟结果,且当滑移面竖直时的计算结果与Terzaghi理论结果吻合较好,验证了计算方法的正确性和合理性.
Assuming that the sliding surface of the clay-free soil above the movable door is parabolic, the horizontal thin layer between the sliding surfaces is taken as the analysis unit. According to the static equilibrium conditions of the analysis unit, the formula of the pressure coefficient and the vertical stress of the upper side of the movable door is derived . The effect of model aspect ratio and soil friction angle on vertical stress was studied. The results show that the higher the aspect ratio, the larger the internal friction angle and the smaller the vertical stress, the more obvious the soil arching effect. The calculated vertical stress is closer to the result of numerical simulation than previous theoretical results, and the calculated results agree well with the results of Terzaghi theory when the slip plane is vertical, which verifies the correctness and rationality of the calculation method.