Bearing Capacity of Rectangular Foundations near the Slopes with Nonassociated Flow Rules

A method of three-dimensional slope stability analysis is presented here based on the energy consideration to obtain the ultimate bearing capacity of rectangular foundations located near the slopes with coaxial nonassociated flow rule. Taking the eccentrically loaded foundation into account, a rotational failure mechanism consisted of several lateral surfaces is considered. The stress distribution along the rupture surface, needed to obtain the rate of dissipation of internal energy for the nonassociated flow rule, is established on the basis of extended Bishop's method and boussinesq theorem. The bearing capacity of rectangular foundations in different conditions is obtained using the proposed method and the effects of dilatancy angle are investigated. The results indicate that for the nonassociated flow rule materials, the bearing capacity of slopes reduces with decrease in the dilatancy angle. These influences increase in the case of mild slopes in frictional.