Approximate Solution for the Shape of Submerged Funicular Arches with Self-weight
Publication: Journal of Structural Engineering
Volume 131, Issue 3
Abstract
In this study, the effect of self-weight on the funicular shape of submerged arches is found to be significant in cases of long span arches submerged in shallow water. Since no analytical solution hitherto exists for fully stressed arches with self-weight and hydrostatic pressure, an approximate solution is presented for easy determination of the funicular arch shape. The Cartesian coordinates of the funicular arch are expressed as analytical functions of the tangent angle, which is convenient for defining the shape without the need to solve a set of nonlinear differential equations. Numerical examples show that the approximate solution is sufficiently accurate for practical design.
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References
Beyer, W. H., ed. (1984). Standard mathematical tables, 27th Ed., CRC, Boca Raton, Fla.
Chai, Y. H., and Kunnath, S. K. (2003). ”Geometry of submerged funicular arches in Cartesian coordinates.” J. Struct. Eng., 129(8), 1087–1092.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 131 • Issue 3 • March 2005
Pages: 399 - 404
Copyright
© ASCE.
History
Received: Oct 30, 2003
Accepted: Jul 29, 2004
Published online: Mar 1, 2005
Published in print: Mar 2005
Notes
Note. Associate Editor: Marc I. Hoit
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