Distortional Buckling of Cold-Formed Thin-Walled Channel Beams in Combined Compression and Minor Axis Bending

On the basis of the Generalized Beam Theory (GBT), this paper presents an elastic analysis of the distortional critical stress of cold-formed thin-walled lipped channels in combined compression and minor axis bending. The results obtained using the exact analysis presented herein have shown excellent agreement with previous available results. And the accuracy, validity and effectiveness of the presented solution were demonstrated. The calculating process was displayed by an example which can give reference to the research and design. This paper will contribute to the understanding of distortional mechanics in thin-walled members.

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Post-Buckling Analysis of Thin-Walled Channel Columns in the Framework of the Generalized Beam Theory

Proceedings of the Tenth International Conference on Civil, Structural and Environmental Engineering Computing ◽

10.4203/ccp.81.38 ◽

2009 ◽

Author(s):

P. Simão ◽

L. Simões da Silva

Keyword(s):

Beam Theory ◽

Buckling Analysis ◽

Post Buckling ◽

Walled Channel ◽

Thin Walled ◽

Generalized Beam Theory

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First and Second Order Elastoplastic Analyses of Thin-Walled Metal Members using Generalized Beam Theory

10.31237/osf.io/yxc9v ◽

2018 ◽

Author(s):

Miguel Abambres

Keyword(s):

Finite Element ◽

Stainless Steel ◽

Cross Section ◽

Beam Theory ◽

Second Order ◽

Flow Rule ◽

Non Linear ◽

Thin Walled ◽

Shell Finite Element ◽

Generalized Beam Theory

Original Generalized Beam Theory (GBT) formulations for elastoplastic first and second order (postbuckling) analyses of thin-walled members are proposed, based on the J2 theory with associated flow rule, and valid for (i) arbitrary residual stress and geometric imperfection distributions, (ii) non-linear isotropic materials (e.g., carbon/stainless steel), and (iii) arbitrary deformation patterns (e.g., global, local, distortional, shear). The cross-section analysis is based on the formulation by Silva (2013), but adopts five types of nodal degrees of freedom (d.o.f.) – one of them (warping rotation) is an innovation of present work and allows the use of cubic polynomials (instead of linear functions) to approximate the warping profiles in each sub-plate. The formulations are validated by presenting various illustrative examples involving beams and columns characterized by several cross-section types (open, closed, (un) branched), materials (bi-linear or non-linear – e.g., stainless steel) and boundary conditions. The GBT results (equilibrium paths, stress/displacement distributions and collapse mechanisms) are validated by comparison with those obtained from shell finite element analyses. It is observed that the results are globally very similar with only 9% and 21% (1st and 2nd order) of the d.o.f. numbers required by the shell finite element models. Moreover, the GBT unique modal nature is highlighted by means of modal participation diagrams and amplitude functions, as well as analyses based on different deformation mode sets, providing an in-depth insight on the member behavioural mechanics in both elastic and inelastic regimes.

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