Abstract:
The classic limit equilibrium method cannot make a connection between slope stability and its displacement, and does not solve the limit displacement for the slope from a stable state to the limit state. To solve this problem approximately in theory, this stu\rm dy takes a plied slope as a typical object. Based on the nonlinear relationship between shear stress and shear displacement of the slip band soil, static equilibrium conditions and displacement compatibility among vertical slices of the slide mass, the control equations for the piled slope stability associated with displacements are established, in which the effects of axial force, shear force, and bending moment at the slip surface on the slope stability are considered, and shear force is calculated using the plastic deformation theory of slide mass. The formula for the slope limit displacement is derived, and two analysis methods of the displacement-associated stability of the piled slope are provided. Model tests show that the proposed limit displacements of piled slopes are close to the experimental results with the maximum relative error 15.5%. Case studies indicate that the vertical and tangential limit displacements of the slope are nonlinearly increasing with the horizontal distance from the slope toe, while the horizontal limit displacement slightly decreases. The limit displacements of the piled slope are closely related to the pile location, pile diameter, pile spacing, surcharge on the slope top, and design factor of safety for slope stability. The limit displacements at the slide mass top increases nonlinearly with the pile location from the slope toe to the top, they are nonlinearly positively and negatively related to the pile diameter and pile spacing, respectively, and they are approximately linearly negatively related to the surcharge and design factor of safety. The proposed method is helpful to effectively determine the limit displacement of piled slopes, and can serve as a simple reference approach to practical design and analysis of piled slope stability associated with the slope displacement.