Analytical Expression for Dynamic Active Earth Pressure from C-phi Soil Backfill with Surcharge

Document Type

Journal Article


J. Ross Publishing/Maney Publishing


Faculty of Computing, Health and Science


School of Engineering (SOE)




This article was originally published as: Shukla, S. K., & Zahid, M. (2011). Analytical expression for dynamic active earth pressure from c-phi soil backfill with surcharge. International Journal of Geotechnical Engineering, 5(2), 143-150. Original article available here


In this paper, an analytical expression is derived for the total dynamic active force from the c- soil backfill with surcharge under seismic loading conditions. The special cases of this new expression result in the expressions given by earlier researchers for different field situations of soil backfills with and without seismic loadings. A graphical presentation is made to recognize the importance of angle of shearing resistance and cohesion of the soil backfill, surcharge and direction of vertical seismic loadings. As expected, this shows that the total dynamic active force decreases with an increase in the angle of shearing resistance of the soil backfill. Also, for any value of angle of shearing resistance, the presence of cohesion in the backfill decreases the active force, however, the surcharge load increases the active force significantly whether the seismic load acts or not. A numerical example is presented to illustrate the steps for calculation of total dynamic active force.