Case Studies in Operations Research pp 129-165 | Cite as

# Designing Earth Dams Optimally

## Abstract

Designing an earth dam is an optimization problem and is verycrucial from the view points of safety and cost of construction. Followinga scientic approach, the problem is formulated as a nonlinear programwhich aims at minimizing the material cost of dam with safety factor ofthe design as the main constraint. Computation of factor of safety whichis the main task is tackled intelligently by observing the convex nature offactor of safety. The main contribution of this project is the developmentof the computer program which facilitates determining factor of safety aswell as optimizing the designs with an unlimited scope. The chapter also presents a nice and brief history of earth dams.

## Keywords

Downstream Side Upstream Side Perpendicular Bisector Minimum Factor Downstream Factor## Notes

### Acknowledgement

The authors wish to thank two B. Tech. students, Vamsidhar Reddy and Aditya, who were assigned parts of this when they were doing their internship with one of the authors. We appreciate their efforts and contribution in this work.

## Supplementary material

## References

- 1.BIS. (1975). Indian standard code of practice for stability analysis of earth dams, IS 7894, pp. 10–13.Google Scholar
- 2.Fellenius, W. (1936).
*Calculation of the stability of earth dams*. Transactions of the 2nd International Congress on Large Dams, ICLD, Washington, DC, pp. 445–459.Google Scholar - 3.Hammouri, N., Malkawi, A., & Yamin, M. (2008). Stability analysis of slope using the finite element method and limiting equilibrium approach.
*Bulletin of Engineering Geology and the Environment, 67*(4), 471–478 (Copyright Springer-Verlag).CrossRefGoogle Scholar - 4.Park, S. H.. (1996).
*Robust design and analysis for quality engineering*. London: Chapman & Hall.Google Scholar - 5.Peace, G. S. (1993).
*Taguchi methods*. New York: Addison–Wesley.Google Scholar - 6.Phadke, M. S. (1989).
*Quality engineering using robust design*. Englewood Cliffs: Prentice-Hall.Google Scholar - 7.Sarma, S. K. (1979). Stability analysis of embankments and slopes.
*Journal of the Geotechnical Engineering Division, ASCE, 105*(GT12), 1511–1524.Google Scholar - 8.Sinha, B. N.. (2008). Advance methods of slope-stability analysis for earth embankment with seismic and water forces. http://www.civil.iitb.ac.in/dns/IACMAG08/pdfs/Q04.pdf.