Optimum Design for External Seismic Stability of Geosynthetic Reinforced Soil Walls: Reliability Based Approach
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 136, Issue 6
Abstract
In this paper, an analytical study considering the effect of uncertainties in the seismic analysis of geosynthetic-reinforced soil (GRS) walls is presented. Using limit equilibrium method and assuming sliding wedge failure mechanism, analysis is conducted to evaluate the external stability of GRS walls when subjected to earthquake loads. Target reliability based approach is used to estimate the probability of failure in three modes of failure, viz., sliding, bearing, and eccentricity failure. The properties of reinforced backfill, retained backfill, foundation soil, and geosynthetic reinforcement are treated as random variables. In addition, the uncertainties associated with horizontal seismic acceleration and surcharge load acting on the wall are considered. The optimum length of reinforcement needed to maintain the stability against three modes of failure by targeting various component and system reliability indices is obtained. Studies have also been made to study the influence of various parameters on the seismic stability in three failure modes. The results are compared with those given by first-order second moment method and Monte Carlo simulation methods. In the illustrative example, external stability of the two walls, Gould and Valencia walls, subjected to Northridge earthquake is reexamined.
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Acknowledgments
The writers thank the reviewers for their constructive comments and useful suggestions which have been of immense help in revising the paper.
References
Ang, H. S., and Tang, W. H. (1984). Probability concepts in engineering planning and design, Wiley, New York.
Babu, G. L. S., and Basha, B. M. (2008). “Optimum design of cantilever sheet pile walls in sandy soils using inverse reliability approach.” Comput. Geotech., 35(2), 134–143.
Basha, B. M. (2009). “Optimum design of retaining structures under static and seismic loading: A reliability based approach.” Ph.D. thesis, Indian Institute of Science Bangalore.
Basha, B. M., and Babu, G. L. S. (2008). “Target reliability based design optimization of anchored cantilever sheet pile walls.” Can. Geotech. J., 45(4), 535–548.
Basha, B. M., and Babu, G. L. S. (2009). “Seismic reliability assessment of external stability of reinforced soil walls using pseudo-dynamic method.” Geosynthet. Int., 16(3), 197–215.
Basha, B. M., and Basudhar, P. K. (2005). “Pseudo-static seismic stability analysis of geosynthetic reinforced soil retaining walls.” Indian Geotech. J., 35(3), 323–348.
Bathurst, R. J., and Cai, Z. (1995). “Pseudo-static seismic analysis of geosynthetic reinforced segmental retaining walls.” Geosynthet. Int., 2(5), 787–830.
Chalermyanont, T., and Benson, C. (2004). “Reliability-based design for internal stability of mechanically stabilized earth walls.” J. Geotech. Geoenviron. Eng., 130(2), 163–173.
Chalermyanont, T., and Benson, C. (2005). “Reliability-based design for external stability of mechanically stabilized earth walls.” Int. J. Geomech., 5(3), 196–205.
Das, B. M. (1999). Principles of foundation engineering, 4th Ed., Workflow System, Pacific Grove, Calif.
Duncan, J. (2000). “Factors of safety and reliability in geotechnical engineering.” J. Geotech. Geoenviron. Eng., 126(4), 307–316.
FHWA. (2001a). “Mechanically stabilized earth walls and reinforced soil slopes: Design and construction guidelines.” FHWA-NHI-00-43, Federal Highway Administration and National Highway Institute, Washington, D.C.
FHWA. (2001b). “Load and resistance factor design (LRFD) for highway bridge substructures: Reference manual and participant workbook.” FHWA-HI-98-032, Federal Highway Administration and National Highway Institute, Washington, D.C.
Haldar, A. M., and Tang, W. H. (1979). “Probabilistic evaluation of liquefaction potential.” J. Geotech. Engrg. Div., 105(2), 145–163.
Hasofer, A. M., and Lind, N. C. (1974). “Exact and invariant second-moment code format.” J. Engrg. Mech. Div., 100(1), 111–121.
Ismeik, M., and Guler, E. (1998). “Effect of wall facing on the seismic stability of geosynthetic-reinforced retaining walls.” Geosynthet. Int., 5(1–2), 41–53.
Kramer, S. L. (1996). Geotechnical earthquake engineering, Prentice-Hall, Upper Saddle River, N.J.
Ling, H. I., and Leshchinsky, D. (1998). “Effects of vertical acceleration on seismic design of geosynthetics reinforced soil structures.” Geotechnique, 48(3), 347–373.
Ling, H. I., and Leshchinsky, D. (2005). “Failure analysis of modular-block reinforced soil walls during earthquakes.” J. Perform. Constr. Facil., 19(2), 117–123.
Ling, H. I., Leshchinsky, D., and Perry, E. B. (1997). “Seismic design and performance of geosynthetic reinforced soil structures.” Geotechnique, 47(5), 933–952.
Low, B. K. (2005). “Reliability-based design applied to retaining walls.” Geotechnique, 55(1), 63–75.
Na, U. J., Chaudhuri, S. R., and Shinozuka, M. (2008). “Probabilistic assessment for seismic performance of port structures.” Soil Dyn. Earthquake Eng., 28, 147–158.
Phoon, K., and Kulhawy, F. (1999). “Evaluation of geotechnical property variability.” Can. Geotech. J., 36, 625–639.
Sandri, D. (1997). “A performance summary of reinforced soil structures in the greater Los Angeles area after the Northridge earthquake.” Geotext. Geomembr., 15(4–6), 235–253.
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© 2010 ASCE.
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Received: Jul 2, 2008
Accepted: Nov 12, 2009
Published online: Nov 23, 2009
Published in print: Jun 2010
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