Buckling and Vibration of Arches and Tied Arches
Publication: Journal of Structural Engineering
Volume 112, Issue 6
Abstract
A simple method of computing the planar elastic buckling loads, natural frequencies, and corresponding mode shapes for arches and tied arches has been developed. The proposed method is applicable to arches and tied arches of general shape. Stiffnesses of arch rib and tie (if present) may vary in any manner along the span. The only major limitation in the applicability of the procedure is that the simplifying idealizations that are made can result in significant error for very steep arches. The details of the proposed method of analysis have been developed to be compatible with normal design office practice. The procedure involves linear elastic analysis with multiple loadings to obtain a simplified flexibility matrix, manual development of a stability matrix (for buckling) or mass matrix (for vibration), and solution of an eigenvalue equation. Several examples that are presented indicate that the proposed method is accurate—at least to the degree normally required in structural design—for arches and tied arches that have rise/span ratios within the range customarily encountered in medium‐ and long‐span bridges.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Austin, W. J., “In‐Plane Bending and Buckling of Arches,” Journal of the Structural Division, ASCE, Vol. 97, No. ST5, Paper 8130, May, 1971, pp. 1575–1592.
2.
“Standard Specifications for Highway Bridges,” American Association of State Highway and Transportation Officials, 13th ed., 1983.
3.
Timoshenko, S. P., and Gere, J. S., Theory of Elastic Stability, 2nd ed., McGraw‐Hill Book Co., New York, N.Y., 1961.
4.
Van der Woude, F., and Cousins, B. F., “Deformation of Arches: Elastic Buckling Behavior,” Journal of the Structural Division, ASCE, Vol. 105, No. ST12, Paper 15086, Dec., 1979, pp. 2677–2694.
Information & Authors
Information
Published In
Copyright
Copyright © 1986 ASCE.
History
Published online: Jun 1, 1986
Published in print: Jun 1986
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.