A nonlinear finite strip method of analysis is described for the post-local buckling of geometrically imperfect plate assemblies. The method is used to provide an accurate alternative to the Winter effective width formula for obtaining the effective section of a simply supported I-beam in the post-local buckling range of structural response. The effective section of a locally buckled beam with thin flange outstands is used to investigate the resistance of the beam to flexural-torsional buckling. The analytical methods developed to assess the nonlinear interaction of local and lateral buckling are compared with experimental tests performed by Cherry.

Elastic interaction of local and lateral buckling in beams

Stiffened plates and shells are encountered in many engineering applications. Several analytical and numerical procedures were developed over the past decades for analysis of these structures. Empirical and simplified analytical models were also developed to estimate their ultimate strength for various limit states. The paper reviews and pieces together engineering work developed for all the applications. The first part reviews the analytical, numerical, and orthotropic plate procedures that were developed for analysis of stiffened plates and shells. The structural idealization, the theoretical basis, and the merits of each method are also discussed. The second part of the paper reviews the design philosophies that were developed to predict the ultimate strength of these structures. The influence of various parameters affecting the structural performance, such as geometric and material imperfections, stiffener profile, etc., is discussed. The optimization procedures to minimize the weight of the structure are also reviewed. The paper offers a comprehensive and unique “reference-manual” for all types of stiffened plate applications.

Analysis and Limit State Design of Stiffened Plates and Shells: A World View

The author gives an overall view of the up-to-date state of the coupled instabilities theory in the light of extensive recent developments in the research. The introductory review of the principal aspects, phenomenon, theory and methods, is followed by application to structural elements and structures. The second part refers to papers presented at the conference. The bibliography contains over 230 papers.

General theory of coupled instabilities

On presente un procede semi-analytique pour l'etude de phenomenes de flambage interactif dans des structures de plaques prismatiques La methode combine les concepts de bandes finies et la theorie des interactions de modes

Interactive buckling analysis with finite strips

In this paper the effect of the interaction between two or more simultaneous buckling modes on the postbuckling behaviour of uniformly compressed thin-walled members (TWM) is analysed by means of the general theory of elastic stability. The analysis is restricted to third-order terms of the energy expansion and therefore can be fruitfully applied to the investigation of structures with asymmetric postbuckling behaviour only. Initial imperfection effect is taken into account. A simplified procedure is suggested for solving the nonlinear equations relative to the evaluation of the bifurcated paths. By using the finite strip method an extensive parametric analysis is performed. It is found that when the flexural-torsional (FT) buckling interacts with a local symmetric and antisymmetric mode, sensitivity to initial inperfections is remarkable and is comparable to the one arising from the interaction between the Euler (E) and any local buckling.

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Asymmetric interactive buckling of thin-walled columns with initial imperfections

Lateral buckling of locally buckled beams using finite element techniques

Torsional-flexural buckling of locally buckled columns

A study of local buckling of wide-flange and box section beams subjected to stress gradients due to transverse loading is presented. The resulting eigen matrices are solved using a search technique. Buckling coefficients for typical cases are presented. Results are compared with those used for customary design procedure.

Local Buckling of Beams under Stress Gradient

Post-buckling behavior of cold-formed thin-walled stainless steel beams☆

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Shien T. Wang

Papers

Lateral buckling of locally buckled beams using finite element techniques

Torsional-flexural buckling of locally buckled columns

Local Buckling of Beams under Stress Gradient

Post-buckling behavior of cold-formed thin-walled stainless steel beams☆

Post-local-buckling Behavior of Thin-walled Columns