TECHNICAL PAPERS
May 1, 1993

Analysis of Arch Dams

Publication: Journal of Structural Engineering
Volume 119, Issue 5

Abstract

A theory for arch dams based on extended shell theory is given and compared with finite‐element‐shell and three‐dimensional (3D) analyses. The dam equations given are solved by successive overrelaxation. In a flexible valley, stress boundary conditions are used. Various loading cases and the pore‐water‐pressure effect are discussed. Valley‐flexibility effects are realized effectively by means of Vogt's equations and a normal shear valley‐deformation analysis given by the writer. On basic theory it is found that in spite of some intrinsic differences there is good agreement between the results of this classical theory and those of the finite‐element analyses, which are very similar. It is concluded that for any arch dam a rigorous shell analysis is as good as a sound 3D analysis; and that the second approximation is as good as the full theory. Also, it is found that the boundary extension artifice depresses transverse displacements.

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References

1.
Arch dams; a review of British research and development; Proc. of Symp. (1968). Institution of Civil Engineers (ICE), London, England.
2.
Ahmad, S. (1968). “Contribution to discussion session 2.” Arch dams; a review of British research and development; Proc. of Symp., Institution of Civil Engineers (ICE), London, England, 102, 104–105.
3.
Ansah, A. M. (1980). “Analysis of translational shell structure.” Proc., Institution of Civil Engineers (ICE), London, England, 69(Part 2), 1–32.
4.
Swaminathan, K. V. (1965). “Structural behaviour of arch dams on elastic foundations.” Theory of arch dams, Pergamon Press, Oxford, England.
5.
Vogt, F. (1925). “Uber die Berechnung der Fundamentdeformation.” Avhandlinger utgitav Det Norske Videnskabsakademi i Oslo. I Math.—Naturv., Klasse 1925 (No. 2), Jacob Dybwad, Oslo, Norway (in Norwegian).
6.
Zienkiewicz, O. C., Ergatoudis, J., and Irons, B. M. (1968). “Three dimensional analysis of arch dams and their foundations.” Arch dams; a review of British research and development; Proc. of Symp., Institution of Civil Engineers (ICE), London, England, 37–50.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 119Issue 5May 1993
Pages: 1516 - 1538

History

Received: Oct 26, 1992
Published online: May 1, 1993
Published in print: May 1993

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Alexander Michael Ansah
Chmn., A. M. Ansah & Partners, Consulting Engineers, P.O. Box 6654, Accra North, Ghana

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