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Nonlinear analysis of thin-walled members of variable cross-section. Part I: Theory

โœ Scribed by H.R. Ronagh; M.A. Bradford; M.M. Attard

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
311 KB
Volume
77
Category
Article
ISSN
0045-7949

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โœฆ Synopsis

The majority of analyses of thin-walled beam-columns in the linear and nonlinear ranges of structural response have been for prismatic sections. This paper presents a theory for the nonlinear axial strain and Kirchho stress resultants for a thin-walled beam-column whose cross-section is tapered. An expression for the ยฎrst variation of the Total Potential is derived, that may be used in a nonlinear equilibrium analysis, and an expression for the second variation of the Total Potential is derived, that may be used in a stability analysis. These variations are used as the basis for a ยฎnite element analysis, as described in the companion paper. The results are discussed in light of a previous study of tapered monosymmetric I-beams, and for a linear analysis it is shown that the results of this independent study agree with those presented in this paper.

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Professor of Theoretical and Applied Mechanics, Emeritus. Stanford 1 ~niversity. I N'rRO DUCTIO N. 20I \* Rigorous solutions of the theory of elasticity substantiate this assumption. \* This question was discussed by the writer. See his paper in Bull. of the Institute of Engrs of Ways of Communicati