Geomechanics and Engineering

Techno-Press (테크노프레스)
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Active earth thrust on vertical walls supporting sandy sloping ground of different height and toe position

  • Sunil Khuntia (Department of Civil Engineering, National Institute of Technology ) ;
  • Jagdish Prasad Sahoo (Department of Civil Engineering, Indian Institute of Technology )
  • Received : 2023.07.21
  • Accepted : 2025.05.07
  • Published : 2025.05.25
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Abstract

The present study evaluates the active earth thrust exerted by sandy sloping ground on rigid retaining walls, investigating the critical effects of slope toe position (e) and slope height (h) that are often neglected in current design standards despite their significant influence on wall pressures. The solutions were obtained by performing finite element lower bound limit analysis with second order conic optimization techniques and presented in the form of non-dimensional earth pressure coefficient (Ka). The active earth thrust remains constant beyond a certain distance of slope toe from the back face wall, and height of slope, which are defined as critical toe distance (ecr) and critical slope height (hcr), respectively. The critical toe distance and slope height have been found to be influenced by the friction angle of soil (𝜙), inclination of slope (𝛽) and surcharge pressure (q) on the ground surface. The study shows that the magnitudes of Ka, ecr, and hcr increase with a reduction in the values of 𝜙 and with an increase in the values of 𝛽 and q. For a few typical cases, the proximity of stress state to failure was presented.

Keywords

References

  1. Benmeddour, D., Mellas, M., Frank, R. and Mabrouki, A. (2012), "Numerical study of passive and active earth pressures of sands", Comput. Geotech., 40, 34-44. https://doi.org/10.1016/j.compgeo.2011.10.002.
  2. Chen, W.F. and Rosenfarb, J.L. (1973), "Limit analysis solutions of earth pressure problems", Soils Found., 13(4), 45-60. https://doi.org/10.3208/sandf1972.13.4_45.
  3. Coulomb, C.A. (1776), "Essai sur une application des regles des maximis et minimis a` quelques problemes de statique relatifs a l'arquiteture", Memoirs Academie Royal Pres. Division Sav. 7, Paris, France.
  4. Drucker, D.C. (1953), "Limit analysis of two and three dimensional soil mechanics problems", J. Mech. Phys. Solids, 1(4), 217-226. https://doi.org/10.1016/0022-5096(53)90001-5.
  5. Fan, C.C. and Fang, Y.S. (2010), "Numerical solution of active earth pressures on rigid retaining walls built near rock faces", Comput. Geotech., 37(7-8), 1023-1029. https://doi.org/10.1016/j.compgeo.2010.08.004.
  6. Fang, Y., Chen, J. and Chen, C. (1997), "Earth pressures with sloping backfill", J. Geotech. Geoenviron. Eng., 123(3), https://doi.org/10.1061/(ASCE)1090-0241(1997)123:3(250).
  7. Greco, V.R. (2005), "Active earth thrust by backfills subject to a line surcharge", Can. Geotech. J., 42(5), 1255-1263. https://doi.org/10.1139/t05-038.
  8. Greco, V.R. (2006), "Active thrust due to backfill subject to lines of surcharge", J. Geotech. Geoenviron. Eng., 132(2), 269-271. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:2(269).
  9. Greco, V.R. (2013), "Active thrust on retaining walls of narrow backfill width", Comput. Geotech., 50, 66-78. https://doi.org/10.1016/j.compgeo.2012.12.007.
  10. Jumikis, A.R. (1962), "Active and passive earth pressure coefficient tables (No. 43)", College of Enginering, Bureau of Engineering Research.
  11. Kerisel, J. and Absi, E. (1990), "Active and passive earth pressure tables", Balkema, Rotterdam, The Netherlands.
  12. Lai, F., Yang, D., Liu, S., Zhang, H. and Cheng, Y. (2022), "Towards an improved analytical framework to estimate active earth pressure in narrow c – ϕ soils behind rotating walls about the base", Comput. Geotech., 141, 104544. https://doi.org/10.1016/j.compgeo.2021.104544.
  13. Makrodimopoulos, A. and Martin, C.M. (2006), "Lower bound limit analysis of cohesive frictional materials using secondorder cone programming", Int. J. Numer. Meth. Eng., 66, 604–634. https://doi.org/10.1002/nme.1567.
  14. MATLAB (2019), The MathWorks, Inc., Natick, Massachusetts, United States.
  15. MOSEK, A. (2015), The MOSEK optimization toolbox for MATLAB manual. Version 7.1 (Revision 28).
  16. Motta, E. (1994), "Generalized Coulomb active-earth pressure for distanced surcharge", J. Geotech. Eng., 120(6), 1072-1079. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:6(1072).
  17. Rankine, W.J.M. (1857), "On the stability of loose earth", Philos. Trans. Royal Soc., London, 147, 9-27. https://doi.org/10.1098/rstl.1857.0003.
  18. Sahoo, J.P. and Ganesh, R. (2017), "Kinematic limit analysis approach for seismic active earth thrust coefficients of cohesive-frictional backfill", Int. J. Geomech., 18(1), 04017123. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001030.
  19. Sloan, S.W. (1988), "Lower bound limit analysis using finite elements and linear programming", Int. J. Numer. Anal. Meth. Geomech., 12, 61-77. https://doi.org/10.1002/nag.1610120105.
  20. Soubra, A.H. and Macuh, B. (2002), "Active and passive earth pressure coefficients by a kinematical approach", Proc. Inst. Civil Eng. Geotech. Eng., 155(2), 119-131. https://doi.org/10.1680/geng.2002.155.2.119.
  21. Terzaghi, K. (1943), Theoretical Soil Mechanics. 5th ed., John Wiley & Sons Inc., New York, N.Y.
  22. Yang, M. and Tang, X. (2017), "Rigid retaining walls with narrow cohesionless backfills under various wall movement modes", Int. J. Geomech., 17(11), 04017098. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001007.