Flexural buckling of simply-supported thin-walled columns with consideration of membrane shear deformations: Analytical solutions based on shell model |
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| Affiliation: | 1. Department of Civil Engineering, Johns Hopkins University, Baltimore, MD, USA;2. Department of Engineering, Science & Mathematics, State University of New York Institute of Technology, Utica, NY, USA;1. Department of Civil and Environmental Engineering, Northeastern University, Boston, MA 02115, USA;2. CDM Smith Professor and Chair, Department of Civil and Environmental Engineering, Northeastern University, Boston, MA 02115, USA;1. Faculty of Mechanical Engineering, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland;2. Department of Strength of Materials, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland;1. School of Civil Engineering, Wuhan University, Wuhan 430072, PR China;2. Department of Civil Engineering, Tsinghua University, Beijing 100084, PR China;3. Department of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, United Kingdom |
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| Abstract: | In this paper, flexural buckling of pin-ended thin-walled columns is discussed. The classical formulae for the critical force are based on a beam model. The simplest formulae use the classical Euler–Bernoulli beam theory, but solutions based on the shear-deformable beam theory are also known. In the presented research alternative formulae are derived. The column is modeled as a set of flat plane elements, and the in-plane membrane shear deformations are explicitly considered. The derivations can be carried out in various, slightly different ways, leading to different formulae. The derived critical force formulae are discussed through theoretical considerations and numerical studies. |
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| Keywords: | Flexural buckling Thin-walled member Shear deformations Shell model Analytical solution |
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