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Coefficient charts for active earth pressures under combined loadings

  • Zheng, De-Feng (School of Urban and Environmental Science, Liaoning Normal University) ;
  • Nian, Ting-Kai (School of Civil Engineering & State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Liu, Bo (School of Civil Engineering & State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Yin, Ping (Key Laboratory of Marine Hydrocarbon Resources and Environmental Geology, Ministry of Land and Resources) ;
  • Song, Lei (State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology)
  • Received : 2014.01.15
  • Accepted : 2014.12.26
  • Published : 2015.03.25

Abstract

Rankine's theory of earth pressure cannot be directly employed to c-${\phi}$ soils backfill with a sloping ground subjected to complex loadings. In this paper, an analytical solution for active earth pressures on retaining structures of cohesive backfill with an inclined surface subjected to surcharge, pore water pressure and seismic loadings, are derived on the basis of the lower-bound theorem of limit analysis combined with Rankine's earth pressure theory and the Mohr-Coulomb yield criterion. The generalized active earth pressure coefficients (dimensionless total active thrusts) are presented for use in comprehensive design charts which eliminate the need for tedious and cumbersome graphical diagram process. Charts are developed for rigid earth retaining structures under complex environmental loadings such as the surcharge, pore water pressure and seismic inertia force. An example is presented to illustrate the practical application for the proposed coefficient charts.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Anderson, D.G., Martin, G.R., Lam, I. and Wang, J.N. (2008), "Seismic analysis and design of retaining walls, buried structures, slopes and embankments", NCHRP Rep. 611; National Cooperative Highway Research Program, Transportation Research Board of the National Academies, Washington, D.C., USA.
  2. Chen, W.F. (2007), Limit Analysis and Soil Plasticity, J. Ross Publishing, Fort Lauderdale, FL, USA.
  3. Chen, W.F. and Liu, X.L. (1990), Limit Analysis in Soil Mechanics, Elsevier, Amsterdam, Netherlands.
  4. Das, B.M. (2008), Fundamentals of Geotechnical Engineering, (3rd Ed.), Cengage Learning, Stamford, CT, USA.
  5. Fang, Y.S. and Chen, T.J. (1995), "Modification of Mononobe-Okabe theory", Geotechnique, 45(1), 165-167. https://doi.org/10.1680/geot.1995.45.1.165
  6. Feng, Z., Wang, N., Lin, W. and Li, J.W. (2008), "Computation of active earth pressure of cohesive backfill on retain ing wall considering inertial force", J. Earthq. Eng. Eng. Vib., 28(1), 152-156.
  7. Gnanapragasam, N. (2000), "Active earth pressure in cohesive soils with an inclined ground surface", Can. Geotech. J., 37(2), 171-177. https://doi.org/10.1139/t99-091
  8. Greco, V.R. (2013), "Active thrust on retaining walls of narrow backfill width", Comp. Geotech., 50, 66-78. https://doi.org/10.1016/j.compgeo.2012.12.007
  9. Greco, V.R. (2014), "Analytical solution of seismic pseudo-static active thrust acting on fascia retaining walls", Soil Dyn. Earthq. Engrg., 57, 25-36. https://doi.org/10.1016/j.soildyn.2013.09.022
  10. Huang, Y., Sawada, K., Moriguchi, M., Yashima, A. and Zhang, F. (2006), "Numerical assessment of the effect of reinforcement on the performance of reinforced soil dikes", Geotext. Geomembr., 24(3), 169-174. https://doi.org/10.1016/j.geotexmem.2005.11.005
  11. Iskander, M., Omidvar, M. and Elsherif, O. (2013a), "Conjugate stress approach for Rankine seismic active earth pressure in cohesionless soils", J. Geotech. Geoenviron. Eng., 139(7), 1205-1210. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000830
  12. Iskander, M., Chen, Z., Omidvar, M., Guzman, I. and Elsherif, O. (2013b), "Active static and seismic earth pressure for $c-{\varphi}$ soils", Soil. Found., 53(5), 639-652. https://doi.org/10.1016/j.sandf.2013.08.003
  13. Iskander, M., Chen, Z., Omidvar, M. and Guzman, I. (2013c), "Rankine pseudo-static earth pressure for $c-{\varphi}$ soils", Mech. Res. Commun., 51, 51-55. https://doi.org/10.1016/j.mechrescom.2013.04.010
  14. Kerisel, J. and Absi, E. (1990), Active and Passive Earth Pressure Tables, Taylor & Francis.
  15. Lancellotta, R. (2007), "Lower-bound approach for seismic passive earth resistance", Geotechnique, 57(3), 319-321. https://doi.org/10.1680/geot.2007.57.3.319
  16. Mazindrani, Z.H. and Ganjali, M.H. (1997), "Lateral earth pressure problems of cohesive backfill with inclined surface", J. Geotech. Geoenviron. Eng., 123(2), 110-112. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:2(110)
  17. Mylonakis, G., Kloukinas, P. and Papantonopoulos, C. (2007), "An alternative to the Mononobe-Okabe equations for seismic earth pressures", Soil Dyn. Earthq. Eng., 27(10), 957-969. https://doi.org/10.1016/j.soildyn.2007.01.004
  18. Nian, T.K., Liu, B., Han, J. and Huang, R.Q. (2014), "Influence of seismic acceleration directions on dynamic earth pressures in retaining structures", Geomech. Eng., Int .J., 7(3), 263-277. https://doi.org/10.12989/gae.2014.7.3.263
  19. Peng, M.X. and Chen, J. (2013), "Coulomb's solution to seismic passive earth pressure on retaining walls", Can. Geotech. J., 50(10), 1100-1107. https://doi.org/10.1139/cgj-2012-0392
  20. Shukla, S.K., Gupta, S.K. and Sivakugan, N. (2009), "Active earth pressure on retaining wall for c-$\phi$ soil backfill under seismic loading condition", J. Geotech. Geoenviron. Eng., 135(5), 690-696. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000003
  21. Yap, S.P., Salman, F.A. and Shirazi, S.M. (2012), "Comparative study of different theories on active earth pressure", J. Cent. South Univ., 19(5), 2933-2939. https://doi.org/10.1007/s11771-012-1361-2
  22. Yu, W.L., Zhang, J., Hu, R.L., Li, Z.Q., Sun, X.H. and Li, T.L. (2011), "Estimation of the active earth pressure with inclined cohesive backfills: the effect of intermediate principal stress is considered", The Open Civil Eng J., 5(1), 9-16. https://doi.org/10.2174/1874149501105010009

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