Lateral Earth Pressure Considering the Displacement of a Rigid Retaining Wall
Publication: International Journal of Geomechanics
Volume 18, Issue 11
Abstract
In this study, an analytical model is proposed to calculate earth pressure considering the displacement of a rigid wall, and this model is developed based on the hyperbolic soil stress-strain relationship. By introducing the soil–failure ratio, the classic limit earth pressure theories can be incorporated into this analytical model. Using the axis-translation method, the earth pressure at rest is the initial state without wall movement. As the wall moves away from the soil mass, the earth pressure decreases and reaches the limit active earth pressure if the wall displacement reaches a threshold value. Similarly, the earth pressure increases to the limit passive earth pressure as the wall moves against the soil mass. This analytical model is verified when compared with experimental and numerical results and can predict the nonlinear earth pressure distribution under various modes of wall movement. This proposed analytical model provides an effective approach to predict the variation of earth pressure, with various wall displacements ranging from the limit active state to the limit passive state.
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References
Bang, S. 1985. “Active earth pressure behind retaining walls.” J. Geotech. Eng. 111 (3): 407–412. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:3(407).
British Highway Agency. 1996. Design manual for roads and bridges. The design of integral bridges. British Code BA42/96. London: British Highway Agency.
Cai, Y., Q. Chen, Y. Zhou, S. Nimbalkar, and J. Yu. 2017. “Estimation of passive earth pressure against rigid retaining wall considering arching effect in cohesive-frictional backfill under translation mode.” Int. J. Geomech. 17 (4): 04016093. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000786.
Chang, M.-F. 1997. “Lateral earth pressures behind rotating walls.” Can. Geotech. J. 34 (4): 498–509. https://doi.org/10.1139/t97-016.
Chen, L. 2014. “Active earth pressure of retaining wall considering wall movement.” Eur. J. Environ. Civil Eng. 18 (8): 910–926. https://doi.org/10.1080/19648189.2014.911121.
Choudhury, D., and S. Chatterjee. 2006. “Displacement-based seismic active earth pressure on rigid retaining walls.” Electron. J. Geotech. Eng. 11 (Bundle C), paper No. 0660. http://hdl.handle.net/10054/44.
Choudhury, D., and D. Modi. 2008. “Displacement-based seismic stability analyses of reinforced and unreinforced slopes using planar failure surfaces.” In Geotechnical earthquake engineering and soil dynamics IV 2008, edited by D. Zeng, M. T. Manzari, and D. R. Hiltunen, 1–10. Sacramento, CA: ASCE.
Choudhury, D., and S. Nimbalkar. 2008. “Seismic rotational displacement of gravity walls by pseudodynamic method.” Int. J. Geomech. 8 (3): 169–175. https://doi.org/10.1061/(ASCE)1532-3641(2008)8:3(169).
Clough, G. W., and J. M. Duncan. 1971. “Finite element analyses of retaining wall behavior.” J. Soil Mech. Found. Div. 97 (12): 1657–1673.
Clough, G. W., and J. M. Duncan. 1991. “Earth pressures.” In Foundation engineering handbook, edited by H.-Y. Fang, 223–235. New York: Van Nostrand Reinhold.
Craig, R. F. 2004. Craig’s soil mechanics. 7th ed. New York: Spon Press.
Duncan, J. M., and C.-Y. Chang. 1970. “Nonlinear analysis of stress and strain in soils.” J. Soil Mech. Found. Div. 96 (5): 1629–1653.
Duncan, J. M., and R. L. Mokwa. 2001. “Passive earth pressures: Theories and tests.” J. Geotech. Geoenviro. Eng. 127 (3): 248–257. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:3(248).
England, G. L., D. I. Bush, and N. C. M. Tsang. 2000. Integral bridges: A fundamental approach to the time-temperature loading problem. London: Telford.
Fang, Y.-S., T.-J. Chen, and B.-F. Wu. 1994. “Passive earth pressures with various wall movements.” J. Geotech. Eng. 120 (8): 1307–1323. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:8(1307).
Fang, Y. S., F. P. Cheng, R. T. Chen, and C. C. Fan. 1993. “Earth pressures under general wall movements.” Geotech. Eng. 24 (2): 113–131.
Fang, Y.-S., and I. Ishibashi. 1986. “Static earth pressures with various wall movements.” J. Geotech. Eng. 112 (3): 317–333. https://doi.org/10.1061/(ASCE)0733-9410(1986)112:3(317).
Janbu, N. 1963. “Soil compressibility as determined by oedometer and triaxial tests.” In Proc., of the European Conf. on Soil Mechanics and Foundation Engineering, 19–25. Wiesbaden, Germany: Deutsche Gesellschaft für Erd- und Grundbau.
Li, J. P., and M. Wang. 2014. “Simplified method for calculating active earth pressure on rigid retaining walls considering the arching effect under translational mode.” Int. J. Geomech. 14 (2): 282–290. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000313.
Massachusetts Highway Department. 2005. Massachusetts bridge manual. Part I: Design guidelines. Boston: Massachusetts Highway Department.
Matsuzawa, H., and H. Hazarika. 1996. “Analyses of active earth pressure against rigid retaining wall subjected to different modes of movement.” Soils Found. 36 (3): 51–65. https://doi.org/10.3208/sandf.36.3_51.
Mei, G., Q. Chen, and L. Song. 2009. “Model for predicting displacement-dependent lateral earth pressure.” Can. Geotech. J. 46 (8): 969–975. https://doi.org/10.1139/T09-040.
Mei, G., R. Chen, and J. Liu. 2017. “New insight into developing mathematical models for predicting deformation-dependent lateral earth pressure.” Int. J. Geomech. 17 (8): 06017003. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000902.
Nadukuru, S. S., and R. L. Michalowski. 2012. “Arching in distribution of active load on retaining walls.” J. Geotech. Geoenviron. Eng. 138 (5): 575–584. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000617.
Nakai, T. 1985. “Finite element computations for active and passive earth pressure problems of retaining wall.” Soils Found. 25 (3): 98–112. https://doi.org/10.3208/sandf1972.25.3_98.
Paik, K. H., and R. Salgado. 2003. “Estimation of active earth pressure against rigid retaining walls considering arching effects.” Géotechnique 53 (7): 643–654. https://doi.org/10.1680/geot.2003.53.7.643.
Pain, A., Q. Chen, S. Nimbalkar, and Y. Zhou. 2017. “Evaluation of seismic passive earth pressure of inclined rigid retaining wall considering soil arching effect.” Soil Dyn. Earthquake Eng. 100: 286–295. https://doi.org/10.1016/j.soildyn.2017.06.011.
Potts, D. M., and A. B. Fourie. 1986. “A numerical study of the effects of wall deformation on earth pressures.” Int. J. Numer. Anal. Methods Geomech. 10 (4): 383–405. https://doi.org/10.1002/nag.1610100404.
Rao, P., Q. Chen, Y. Zhou, S. Nimbalkar, and G. Chiaro. 2016. “Determination of active earth pressure on rigid retaining wall considering arching effect in cohesive backfill soil.” Int. J. Geomech. 16 (3): 04015082. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000589.
Sherif, M. A., Y.-S. Fang, and R. I. Sherif. 1984. “KA and K0 behind rotating and non-yielding walls.” J. Geotech. Eng. 110 (1): 41–56. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:1(41).
Subba Rao, K. S., S. Nayak, and D. Choudhury. 2004. “Determination of displacement-related passive earth pressure.” Geotech. Eng. 35 (2): 79–85.
Terzaghi, K. 1934. “Large retaining-wall tests, Part I–V.” Eng. News Rec. 102 (20): 112–136.
Terzaghi, K. 1941. “General wedge theory of earth pressure.” Am. Soc. Civil Eng. Trans. 106 (1): 68–80. https://doi.org/10.1680/ijoti.1936.14892.
Zhang, J., Y. Shamoto, and K. Tokimatsu. 1998. “Evaluation of earth pressure under any lateral deformation.” Soils Found. 38 (1): 15–33. https://doi.org/10.3208/sandf.38.15.
Zhou, Y.-T., Q.-S. Chen, F.-Q. Chen, X.-H. Xue, and S. Basack. 2016. “Active earth pressure on translating rigid retaining structures considering soil arching effect.” Eur. J. Environ. Civil Eng. 1–17. https://doi.org/10.1080/19648189.2016.1229225.
Zhu, J.-F., R.-Q. Xu, X.-R. Li, and Y.-K. Chen. 2011. “Calculation of earth pressure based on disturbed state concept theory.” J.Central South Univ. Technol. 18 (4): 1240–1247. https://doi.org/10.1007/s11771-011-0828-x.
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© 2018 American Society of Civil Engineers.
History
Received: Oct 25, 2017
Accepted: May 4, 2018
Published online: Aug 31, 2018
Published in print: Nov 1, 2018
Discussion open until: Jan 31, 2019
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