Analytical solution of general axisymmetric active earth pressure

Abstract

SUMMARYThe active earth pressure of circular excavation is expected to be smaller than the plane strain active earth pressures. Using the plane strain active earth pressure coefficients in design is obviously a conservative approach. In this paper, an analytical solution is developed to determine the active earth pressure on inclined rough circular walls with sloping ground surface based on the results of slip line method. Two types of failure profiles are assumed for the slip lines behind the circular wall. The active earth pressures are then obtained by solving the differential equation in the direction of slip lines. The analytical solutions are compared with the results using the numerical formulation by Cheng et al. (Int. J. Geomech. 2007; 7(1):1-15). It is found that the difference between the analytical solution and the numerical solution is small when the inclination of the ground surface and the wall friction angle are small. Finally, design tables of the active earth pressure coefficients for vertical circular retaining walls with various angles of ground surface and wall friction angle are presented.

Lower bound analysis of modified pseudo‐dynamic lateral earth pressures for retaining wall‐backfill system with depth‐varying damping using FEM‐Second order cone programming

“…Ergo, their static and seismic stability issues are topics of great concern in earthquake and infrastructure engineering, structural mechanics and soil-structure interaction studies. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] Within the framework of the so-called pseudo-static method, seminally proposed by Okabe 15 and Mononobe and Matsuo, 16 the constant uniform horizontal and vertical loads are assumed to be applied on the failure wedge. [17][18][19][20][21] This method was updated by Steedman and Zeng 22 during their phase studies on the evaluation of the pseudo-static lateral earth pressure for the linear elastic backfill.…”