TECHNICAL PAPERS
Feb 1, 1983

Ultimate Strength Analysis of Curved I‐Beams

Publication: Journal of Engineering Mechanics
Volume 109, Issue 1

Abstract

A method of analyzing the elastic and inelastic large‐displacement behavior of horizontally curved I‐beams based on the transfer matrix method is presented. The field transfer matrix is derived under the assumption that the elastic core in each segment is constant and the resultant force in the yielded portions of the cross section is replaced by the external force. The point transfer matrix is derived using the continuity of the displacements and the principal of virtual work taking into account the discontinuity of centroidal lines at the nodes. A computer program based on this theory has been developed and the theoretical values for the deformation and the ultimate strengths are shown to be in good agreement with experimental results. Some numerical examples are also presented. The effects of cross‐sectional dimensions, loading conditions, and residual stresses on the ultimate strength are analyzed for specified central angles of curved beams.

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References

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Becker, G., “Ein Beitrag zur statischen Berechnung beliebig gelagerter ebener gekrümmter Stäbe mit einfach symmetrischen dünnwandigen offenen Profielen von in Stabachse veränderlichen Querschnitt under Berücksichtigung der Wölbkrafttorsion,” Der Stahlbau, Heft 11/12, Nov./Dec., 1965, pp. 334–346/368–377.
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Enda, Y., “Analysis of Thin‐Walled Curved Beams with Open Cross Section as Finite Displacement Theory by Transfer Matrix Method,” Proceedings of Japan Society of Civil Engineers, No. 199, Mar., 1972, pp. 11–20 (in Japanese).
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 109Issue 1February 1983
Pages: 192 - 214

History

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

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Authors

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Hiroshi Yoshida, A. M. ASCE
Prof. of Civ. Engrg., Kanazawa Univ., 2‐40‐20, Kodatsuno, Kanazawa, 920 Japan
Kouji Maegawa
Inst. of Civ. Engrg., Ishikawa Technical Coll., Tsubata, Ishikawa, 929‐03 Japan

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