The Rankine earth pressure theory is extended herein to an inclined c–/ backﬁll. An analytical approach is then proposed to compute the static passive and active lateral earth pressures for a sloping cohesive backﬁll retained by a vertical wall, with the presence of wall–soil interface adhesion. The proposed method is based on a limit equilibrium analysis coupled with the method of slices wherein the assumed proﬁle of the backﬁll failure surface is a composite of log-spiral and linear segments. The geometry of the failure surface is determined using the stress states of the soil at the two boundaries of the mobilized soil mass. The resultant lateral earth thrust, the point of application, and the induced moment on the wall are computed considering global and local equilibrium of forces and moments. Results of the proposed approach are compared with those predicted by a number of analytical models currently adopted in the design practice for various combinations of soil’s frictional angles, wall–soil interface frictional angles, inclined angles of backﬁll and soil cohesions. The predicted results are also veriﬁed against those obtained from ﬁnite element analyses for several scenarios under the passive condition. It is found that the magnitude of earth thrust
Acta Geotechnica – Springer Journals
Published: May 7, 2018
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