地震主动土压力公式用微分薄层法来推出,填土料为黏土,挡土墙竖直,填土面水平,填土和墙背有粘聚力c和内摩擦角φ作用,墙后破坏体存在竖直和水平两个方向的加速度,目前所见的地震和非地震的主动土压力都是这个公式的特例。对以上条件下的挡土墙用过墙踵的破坏体作静力平衡分析(如朗肯分析),获得的总土压力与文中微分薄层法获得的总土压力一样,但微分法作用点位置显著增高。因此在设计抗震和非抗震挡土墙时要特别注意。
An active seismic pressures acting on a retaining wall is derived with differential thin layer method.The retaining wall has vertical face and horizontal level,the backfill material is cohesive and the interface between the back of the wall and the backfill material follows c-φsoil relations.The vertical and horizontal seismic accelerations are acting on the failure plane.It is concluded that the conventional seismic and static active earth pressure formulas are this generic formula under special conditions.The force equilibrium method applying at the toe of the retaining wall(Rankine Earth Pressure),has the same total earth pressures as the value derived from the differential thin layer method.However,the point of acting obtained from the differential thin layer method is higher than the conventional method.