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Numerical Study on Passive Earth Pressures Using Kötter's Equation

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AbstractA numerical protocol was developed to compute the passive earth pressure coefficients, Kpγ, for the case of an inclined rigid wall retaining an inclined cohesionless backfill. A complete log-spiral failure… Click to show full abstract

AbstractA numerical protocol was developed to compute the passive earth pressure coefficients, Kpγ, for the case of an inclined rigid wall retaining an inclined cohesionless backfill. A complete log-spiral failure surface is assumed in this study. Kotter's equation is used in the analysis to obtain the resultant soil reaction on the failure surface. In addition, a limit-equilibrium approach is used to identify the unique failure surface, which fulfils all three equilibrium conditions, viz., ∑H = 0, ∑V = 0, and ∑M = 0, with the passive thrust located at the lower one-third height of the retaining wall. The analysis is further extended to evaluate the bearing capacity factor, Nγ, for the case of a centrally loaded rigid rough strip footing resting on a cohesionless soil medium. For this purpose, particular failure mechanisms are considered. The computed Nγ values are found to be in good agreement with most of the available theoretical solutions.

Keywords: failure surface; numerical study; earth; equation; passive earth

Journal Title: International Journal of Geomechanics
Year Published: 2017

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