TECHNICAL PAPERS
Dec 1, 1992

Stability of Concrete Gravity Dams with Drained and Finite Cracks

Publication: Journal of Energy Engineering
Volume 118, Issue 3

Abstract

This paper presents an analytical solution that can be used as a simplified design aid when assessing the stability of concrete gravity dams with cracks at their base under usual load conditions. The solution is based on the strength of materials approach. It differs from the classical U.S. Bureau of Reclamation (USBR) gravity method of stress and stability analysis in three ways: (1) The cracks are finite rather than infinite in a direction normal to the dam cross section; (2) the effect of drainage on the stress distribution in the uncracked part of the dam base and at the crack tip is fully taken into account; and (3) the criterion for cracking at the rock concrete interface is based on the effective stress principle used in soil and rock mechanics. The effective stress principle allows the minimum allowable stress at the crack tip to be related to the rock‐concrete interface mechanical properties and the crack drainage properties in a more rigorous manner.

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References

1.
Amadei, B., Illangasekare, T., Chinnaswamy, C., and Morris, D. (1991a). “Estimating uplift in cracks in dams.” Proc. Waterpower 91, ASCE, 2, 1328–1337.
2.
Amadei, B., Illangasekare, T., and Chinnaswamy, C. (1991b). “Three dimensional modeling of concrete dams with cracks using boundary element methods.” Proc. Waterpower 91, ASCE, 3, 1548–1558.
3.
Amadei, B., Illangasekare, T., and Chinnaswamy, C. (1991c). “Uplift pressures in cracks in dams and drain effectiveness.” Proc. Int. Conf. Dam Fracture, Electric Power Research Institute, 533–549.
4.
Amadei, B., Illangasekare, T., Morris, D. I., and Boggs, H. (1989a). “Estimation of uplift in cracks in older concrete gravity dams; analytical solution and parametric study.” J. Energy Engrg., ASCE, 115(1), 19–38.
5.
Amadei, B., Illangasekare, T., Morris, D. I., and Boggs, H. (1989b). “Estimation of uplift in cracks in older concrete gravity dams; effect of head losses in drain pipes on uplift.” J. Energy Engrg., ASCE, 115(1), 39–46.
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Design of gravity dams. (1976). U.S. Government Printing Office, Denver, Colo.
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“Engineering guidelines for the evaluation of hydropower projects.” (1991). FERC 0119‐2, Dept. of Energy, Washington, D.C.
8.
Gere, J. M., and Timoshenko, S. T. (1984). Mechanics of materials. 2d Ed., Brooks/Cole Engineering Publishers, Monterey, Calif.
9.
Illangasekare, T., Amadei, B., and Chinnaswamy, C. (1992). “CRFLOOD: a numerical model to estimate uplift in cracks in gravity dams.” Report2917‐07, Electric Power Res. Inst., Boulder, Co.
10.
Illangasekare, T., Amadei, B., and Chinnaswamy, C. (1991). “Uplift reduction using drains.” Proc. Waterpower 91, ASCE, 2, 1388–1397.
11.
Skempton, A. W. (1960). “Effective stress in soils, concrete and rocks.” Proc. Int. Conf. on Pore Pressure and Suction in Soils, Butter worths, London, 4–16.
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Terzaghi, K., and Peck, R. B. (1967). Soil mechanics in engineering practice. 2d Ed., John Wiley and Sons, New York, N.Y.

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Published In

Go to Journal of Energy Engineering
Journal of Energy Engineering
Volume 118Issue 3December 1992
Pages: 149 - 163

History

Published online: Dec 1, 1992
Published in print: Dec 1992

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Authors

Affiliations

Bernard Amadei
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Colorado, Boulder, CO 80309‐0428
Tissa Illangasekare, Associate Members, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Colorado, Boulder, CO

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