TECHNICAL PAPERS
Feb 1, 2002

Funicular Shapes for Submerged Arches

Publication: Journal of Structural Engineering
Volume 128, Issue 2

Abstract

This paper is concerned with the determination of the funicular shapes of submerged arches. A universal set of curves is generated, from which the shapes of funicular arches under hydrostatic forces may be extracted. The method of extraction of the funicular arch shape depends on the specified design parameters such as the water depth, arch height, and arch span. More importantly, this study shows that depending on the specification of the design parameters, there may not exist any funicular arch solution or there may be occasions in which there could be more than one funicular arch solution for the problem.

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References

Abramowitz, M., and Stegun, I. S. (1965). Handbook of mathematical functions, Dover, N.Y.
Billington, D. P.(1977). “History of aesthetics in concrete arch bridges.” J. Struct. Eng., 103(11), 2129–2143.
Gavin, H. P., and Reilly, K. J.(2000). “Submerged funicular arches.” J. Struct. Eng., 126(5), 627–629.
Rozvany, G. I. N., and Wang, C. M.(1983). “On plane Prager-structures-I.” Int. J. Mech. Sci., 25, 519–527.
Tadjbakhsh, I. G.(1980). “Stability and optimum design of arch-type structure.” Int. J. Solids Struct., 17, 565–574.
Vanderplaats, G. N., and Han, S. H.(1990). “Arch shape optimization using force approximation methods.” Struct. Optim., 2, 193–201.

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Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 128Issue 2February 2002
Pages: 266 - 270

History

Received: Dec 15, 2000
Accepted: Jul 31, 2001
Published online: Feb 1, 2002
Published in print: Feb 2002

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Authors

Affiliations

C. M. Wang, M.ASCE
Associate Professor in Civil Engineering, National Univ. of Singapore, Kent Ridge, Singapore 119260 (corresponding author).
C. Y. Wang
Professor of Mathematics, Michigan State Univ., East Lansing, MI 48824.

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