TECHNICAL PAPERS
Jul 1, 2008

Optimum Design of Cantilever Retaining Walls Using Target Reliability Approach

Publication: International Journal of Geomechanics
Volume 8, Issue 4

Abstract

In this paper, an approach for reliability-based design optimization of reinforced concrete cantilever retaining wall is described. A parametric study is conducted to assess the effect of uncertainties in design parameters on the probability of failure of cantilever retaining walls. In total, ten modes of failure are considered, viz. overturning of the wall about its toe, sliding of the wall on its base, eccentricity, bearing capacity failure below the base slab, and shear and moment failure in the toe slab, heel slab, and stem. The analysis is performed by treating backfill and foundation soil properties, geometric properties of wall, and reinforcement and concrete properties as random variables. These results are used to develop a set of reliability-based design charts for different coefficients of variation of friction angle of backfill soil (5 and 10%) and targeting reliability index (βt) in the range of 3–3.2 for all failure modes. A comparative study is also presented, which shows that optimized sections have less areas of cross section compared to those obtained from specifications on dimensioning of retaining walls available in literature.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The writers thank the reviewers for their constructive comments and useful suggestions which have been of immense help in revising the manuscript.

References

Arora, J. S. (1989). Introduction to optimum design, McGraw-Hill, 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.
Bowles, J. E. (1996). Foundation analysis and design, 5th Ed., McGraw-Hill, Singapore.
Castillo, E., Mínguez, R., Ruiz-Terán, A., and Fernández-anteli, A. (2004). “Design and sensitivity analysis using the probability-safety factor method: An application to retaining walls.” Struct. Safety, 26(2), 159–179.
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.
Das, B. M. (1999). Principles of foundation engineering, 4th Ed., Publishing Workflow System, Pacific Grove, Calif.
Duncan, J. (2000). “Factors of safety and reliability in geotechnical engineering.” J. Geotech. Geoenviron. Eng., 126(4), 307–316.
Hoeg, K., and Murarka, R. (1974). “Probabilistic analysis and design of a retaining wall.” J. Geotech. Engrg. Div., 100(3), 349–366.
Honjo, Y., Kusakabe, O., Matusi, K., Kouda, M., and Pokharel, G. (2002). “Foundation design codes and soil investigation in view of international harmonization and performance based design.” Proc., IWS Kamakura, Balkema, Rotterdam, The Netherlands.
Kulhawy, F. H., and Phoon, K. K. (2002). “Observations on geotechnical reliability-based design development in North America.” Int. Workshop on Foundation Design Codes and Soil Investigation in View of Int. Harmonization and Performance Based Design, 31–48.
Low, B. K. (2005). “Reliability-based design applied to retaining walls.” Geotechnique, 55(1), 63–75.
Mourelatos, Z. P., and Liang, J. (2004). “An efficient unified approach for reliability and robustness in engineering design.” Proc., NSF Workshop on Reliable Engineering Computing, 119–138.
Phoon, K. K., Kulhawy, F. H., and Grigoriu, M. D. (2003). “Development of a reliability-based design framework for transmission line structure foundations.” J. Geotech. Geoenviron. Eng., 129(9), 798–806.
Rhomberg, E. J., and Street, W. M. (1981). “Optimal design of retaining walls.” J. Struct. Div., 107(5), 992–1002.
Saribas, A., and Erbatur, F. (1996). “Optimization and sensitivity of retaining structures.” J. Geotech. Engrg., 122(8), 649–656.
Whitman, R. (2000), “Organizing and evaluating uncertainty in geotechnical engineering.” J. Geotech. Geoenviron. Eng., 126(7), 583–593.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 8Issue 4July 2008
Pages: 240 - 252

History

Received: Apr 12, 2007
Accepted: Nov 21, 2007
Published online: Jul 1, 2008
Published in print: Jul 2008

Permissions

Request permissions for this article.

Authors

Affiliations

G. L. Sivakumar Babu
Associate Professor, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, India 560012. E-mail: [email protected]
B. Munwar Basha
Research Scholar, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, India 560012. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share