Research Article
Oct 1974

Inelastic Stability of Beams under Biaxial Bending

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Publication: Journal of the Engineering Mechanics Division
Volume 100, Issue 5

Abstract

A numerical integration scheme is proposed to analyze the inelastic behavior of simply-supported beams subjected to symmetrical biaxial moments. The field equations for the problems, i.e., the stress resultant equations, the stress resultant deformation, and the deformation-displacement relations, are derived on the basis of simple assumptions by means of variational principle. The ultimate load-carrying capacity of the member is obtained with the aid of an extension of Horne's stability criterion for in-plane problems. The latter is formulated as a nonlinear programming problem which is transformed by the penalty function method to an unconstrained maximization problem. The solutions obtained for several wide flange sections are plotted versus arguments of a nondimensional parameter which is a function of the length, the cross-sectional dimensions, and the material property. Thus the results are applicable to any wide flange beam section and material.

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Published In

Journal of the Engineering Mechanics Division
Volume 100Issue 5October 1974
Pages: 965 - 989

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Published in print: Oct 1974
Published online: Feb 3, 2021

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Chesada Kasemset
Lect., Faculty of Engrg., Chiengmai Univ., Chiengmai, Thailand
Fumio Nishino, M.ASCE
Assoc. Prof., Faculty of Engrg., Univ. of Tokyo, Tokyo, Japan
Seng-Lip Lee, F.ASCE
Prof. and Chmn., Div. of Struct. Engrg. and Mechanics, Asian Inst. of Tech., Bangkok, Thailand

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