Brief Report
Nov 1977
Complex Infinite Beams on Elastic Foundation
Authors: Pin Yu Chang, Walter Pilkey, M.ASCE, and David HsuAuthor Affiliations
Publication: Journal of the Structural Division
Volume 103, Issue 11
Abstract
Simple infinite beams on an elastic foundation have presented few problems, in fact they are usually easier to solve than beams of finite length. For some time it has been possible to analyze with relative ease finite beams with arbitrary loading and foundations. The transfer matrix method is particularly useful in the static, stability, and dynamic study of beams with many changes in cross-sectional and support properties. Most available techniques encounter difficulties when applied to very long beams. It is the purpose of this paper to show how the transfer matrix method for beams of finite length can be extended to encompass beams of infinite length. With this approach it is possible to analyze, without encountering numerical instability, infinite or semi-infinite beams with any loading or arbitrary changes in properties along the beam.
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Published In
Journal of the Structural Division
Volume 103 • Issue 11 • November 1977
Pages: 2277 - 2282
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Nov 1977
Published online: Feb 1, 2021
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Authors
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Pin Yu Chang
Prin. Scientist, Hydronautics, Inc., Laurel, Md.
Walter Pilkey, M.ASCE
Prof., Applied Mechanics Div., Univ. of Virginia, Charlottesville, Va.
David Hsu
Asst. Prof., Dept. of Mathematics, Univ. of Arkansas at Little Rock, Little Rock, Ark.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.