Calculation of slip surface displacement in earth slopes using the limit equilibrium method

In the present study, shear displacements were calculated for all failure surface slices in earth slopes using the limit equilibrium method. To this end, the hyperbolic shear stress-strain constitutive law was applied. Local factors of safety were determined for the slices based on stress and displacement values. In order to calculate the displacement of earth slopes using the proposed method, a numerical model was developed satisfying the equilibrium of forces by a trial and error approach. A comparison between shear displacements obtained from this study in examples 1 and 2, with those obtained from FEM analysis which has yielded the normal errors of about 1.066% and 0.52%, respectively. Eventually, the effects of failure ratio ( ), and hyperbolic stiffness parameters (n and k) on displacement of earth slopes were examined.