TECHNICAL PAPERS
Mar 1, 1983

Nonlinear Finite Element Analysis of Clamped Arches

Publication: Journal of Structural Engineering
Volume 109, Issue 3

Abstract

A curved nonlinear finite element is developed to analyze the behavior of slender high‐rise arches that undergo large deflections. The strain analysis is based on the assumptions that plane cross sections remain plane and strains are small. Rotations are unrestricted. In‐plane bending and buckling modes for deep arches with fixed‐end supports are analyzed. Concentrated loads and interacting concentrated and distributed loads are considered. The problem is formulated as a system of rate equations that govern the quasi‐state deformation of an arch. These equations are integrated using a Runge‐Kutta scheme to obtain load‐deflection response.

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References

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Brebbia, C., and Connor, J., “Geometrically Nonlinear Finite Element Analysis,” Journal of the Engineering Mechanics Division, ASCE, Vol. 95, No. EM2, Apr., 1969, pp. 463–483.
2.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 109Issue 3March 1983
Pages: 599 - 612

History

Published online: Mar 1, 1983
Published in print: Mar 1983

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Authors

Affiliations

Philip R. Calhoun
Research Assoc., Johns‐Manville Research Center, Denver, Colo.
Donald A. DaDeppo
Prof., Dept. of Civ. Engrg. and Engrg. Mech., Univ. of Arizona, Tucson, Ariz.

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