Coulomb-type solutions for passive earth pressure with steady seepage

Abstract

Present paper deals with the computing of passive earth pressure acting on the vertical rigid retaining wall supporting the soil mass subjected to water seepage. The basic assumptions of Coulomb’s theory and the 2-dimensional steady flow function are used. Three Coulomb-type solutions for the passive earth pressures are presented for the walls provided with three different drainage systems respectively. Based on the general solutions, the variations of the critical inclination of the failure surface and the coefficient of passive earth pressure with increasing the effective friction angle of the soil mass, the soil/structure friction angle, and the water/soil unit weight ratio are discussed. Two tables with values of the coefficients of passive earth pressure for Cases 1 and 3 respectively are also presented.

References

1. Rankine W J M On the stability of loose earthPhilosophicalTrans Royal SocLondon 1857
2. de Coulomb C A Essaisur une application des ràgles des maximas et minmas èquelques problàmes de statique relatifs è l'architectureMàm Acad Roy Pres Divers SavantaParis 1776 7
3. Terzaghi K TheoreticalSoil MechanicsNew YorkWiley 1943
4. Soubra A H Kastner R Benmansour A Passive earth pressures in the presence of hydraulic gradientsGéotechnique 1999 49(3)319330
5. Barros P L A A Coulomb-type solution for active earth thrust with seepageGéotechnique 2006 56(3)159164
6. Benmebarek N Benmebarek S Kastner R et al.Passive and active earth pressure in the presenceof groundwater flowGéotechnique 2006 56(3)149–158
7. Harr M E Deen R C Analysis of seepage problemsJ Soil Mech Found Div, ASCE 1961 87(SM5)91107
8. Harr M E Groundwaterand SeepageNew YorkMcGraw-Hill 1962
9. Moss R Handbookof Ground Water DevelopmentNew YorkWiley 1990
10. Banerjee S Muleshkov A Analytical solution for steadyseepage into double-walled cofferdamsJEng Mech, ASCE 1992 118(3)525539
11. Darcy H P G Les Fontaines Publique de la Ville de DijonParis 1856