中文摘要：

假定两滑移面相互平行，且与水平面呈一定角度历对滑移面间土体沿竖向取水平薄层作为微分单元体，通过作用在单元体上的水平力和竖向力的平衡条件，基于土体主应力轴旋转理论，得到考虑土拱效应及倾斜角度的倾斜滑移面间竖向应力的理论公式，及对应不同倾斜角度及滑移面-土摩擦角的土侧压力系数。将得到的理论公式与Handy等公式进行比较，验证了该公式的合理性。研究结果表明：对于无黏性土，竖向应力沿深度先近似线性增大，后增加缓慢并逐渐趋于定值。竖向应力随着倾斜角度和滑移面间距的增大而增大，随滑移面-土摩擦角的增大而减小；土侧压力系数随着滑移面-土摩擦角的增大而增大，而随内摩擦角的增大而减小。

英文摘要：

The slip surfaces paralleled to each other, which are assumed to be inclined at an angle β to the horizontal is taken to be the analytical element. Based on the theory of main stress axes rotation, the theoretical formulae of the vertical stress considering the inclination of the slip surface and soil arching, the earth pressure coefficient considering the inclination of the slip surface and the angle between soil and slip surface are obtained by considering equilibrium of the horizontal and vertical forces acting on the analytical element. The results show that the theoretical formulae are rational by comparing the computed results using the proposed method with the results obtained by the existing methods. A parametric study is undertaken to investigate the effect of various parameters involved in the proposed analytical expression; the results obtained reveal that for cohesionless soil, the vertical stress increases with the depth linearly for shallow depth, then increases with the depth slowly until reach some depth; the vertical stress remains constant. The vertical stress increases with the increases of inclined angle and the stope width due to the weakened of soil arching effect, decreases with the increase of the friction angle between slip surface and soil. The earth pressure coefficient increases with the increase of the friction angle between slip surface and soil, but decreases with the increase of internal friction angle of soil.