Numerical Evaluation of Passive Earth-Pressure Coefficients under the Effect of Surcharge Loading
Publication: International Journal of Geomechanics
Volume 17, Issue 3
Abstract
A numerical protocol was developed for the evaluation of the passive earth-pressure coefficients (Kpq) for the case of an inclined rigid wall retaining an inclined cohesionless backfill loaded with a uniform surcharge. The shape of the proposed failure surface is assumed to be a complete log-spiral. The methodology developed herein uses Kötter’s equation, which enables the computation of soil reactive pressure distribution and the resultant soil reaction on the failure surface. Furthermore, all three limit-equilibrium conditions are effectively utilized to identify the unique failure surface for the given parameters, viz, soil frictional angle (ϕ), wall frictional angle (δ), wall inclination angle (λ), and sloping backfill angle (i). Design tables are also presented for several combinations of ϕ, δ, λ, and i. For validation, the Kpq values obtained are compared with those reported by several other researchers and are found to be in good agreement with most of the available theoretical solutions.
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References
Antão, A. N., Santana, T. G., Silva, M. V., and Costa Guerra, N. M. (2011). “Passive earth-pressure coefficients by upper-bound numerical limit analysis.” Can. Geotech. J., 48(5), 767–780.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier Scientific Publishing Company, London.
Chen, W. F., and Rosenfarb, J. L. (1973). “Limit analysis solutions of earth pressure problems.” Soils Found., 13(4), 45–60.
Dewaikar, D., and Mohapatro, B. (2003). “Computation of bearing capacity factor Nγ—Terzaghi’s mechanism.” Int. J. Geomech., 123–128.
Dewaikar, D. M., and Mohapatra, B. G. (2003). “Computation of bearing capacity factor Nγ—Prandtl’s mechanism.” Soils Found., 43(3), 1–10.
Ghosh, P., and Kolathayar, S. (2011). “Seismic passive earth pressure behind non vertical wall with composite failure mechanism: Pseudo-dynamic approach.” Geotech. Geol. Eng., 29(3), 363–373.
Kame, G. S. (2012). “Analysis of a continuous vertical plate anchor embedded in cohesionless soil.” Dissertation, Indian Institute of Technology, Bombay, India.
Kerisel, J., and Absi, E. (1990). Active and passive earth pressure tables, Balkema, Rotterdam, Netherlands.
Kötter, F. (1903). “Die Bestimmung des Drucks an gekrümmten Gleitflächen, eine Aufgabe aus der Lehre vom Erddruck.” Sitzungsberichteder Akademie der Wissenschaften, Universitätsbibliothek Johann Christian Senckenberg, Berlin, 229–233 (in German).
Kumar, J. (2001). “Seismic passive earth pressure coefficients for sands.” Can. Geotech. J., 38(4), 876–881.
Kumar, J., and Chitikela, S. (2002). “Seismic passive earth pressure coefficients using the method of characteristics.” Can. Geotech. J., 39(2), 463–471.
Macuh, B., and Škrabl, S. (2010). “Passive earth pressure determination: Application of the corresponding state theorem for calculating upper-bound values.” Acta Geotech. Slovenica, 7(2), 47–52.
MATLAB [Computer software]. MathWorks, Natick, MA.
Mohapatra, B. G. (2001). “Some studies on bearing capacity of shallow foundations.” Dissertation, Indian Institute of Technology, Bombay, India.
Patki, M. A., Mandal, J. N., and Dewaikar, D. M. (2015a). “A simple approach based on the limit equilibrium method for evaluating passive earth pressure coefficients.” Geotechnik, 38(2), 120–133.
Patki, M. A., Mandal, J. N., and Dewaikar, D. M. (2015b). “Determination of passive earth pressure coefficients using a limit equilibrium approach coupled with the Kötter’s equation.” Can. Geotech. J., 52(9), 1241–1254.
Rankine, W. (1857). “On the stability of loose earth.” Philos. Trans. Royal Soc., 147, 9–27.
Reddy, N., Dewaikar, D., and Mohapatro, G. (2014). “Computation of passive pressure coefficients: For a horizontal cohesionless backfill with surcharge using method of slices.” Int. J. Geotech. Eng., 8(4), 463–468.
Škrabl, S., and Macuh, B. (2005). “Upper-bound solutions of three-dimensional passive earth pressures.” Can. Geotech. J., 42(5), 1449–1460.
Sokolovski, V. V. (1965). Statics of granular media, Pergamon Press, New York.
Soubra, A. H. (2000). “Static and seismic passive earth pressure coefficients on rigid retaining structures.” Can. Geotech. J., 37(2), 463–478.
Soubra, A. H., and Macuh, B. (2002). “Active and passive earth pressure coefficients by a kinematical approach.” Proc. Inst. Civ. Eng. Geotech. Eng., 155(2), 119–131.
Subba Rao, K. S., and Choudhury, D. (2005). “Seismic passive earth pressures in soils.” J. Geotech. Geoenviron. Eng., 131–135.
Terzaghi, K. (1943). Theoretical soil mechanics, John Wiley & Sons Inc., New York.
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© 2016 American Society of Civil Engineers.
History
Received: Aug 26, 2015
Accepted: May 25, 2016
Published online: Aug 24, 2016
Discussion open until: Jan 24, 2017
Published in print: Mar 1, 2017
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