Comparison of the Known Hypotheses of Lateral Buckling in the Elastic-Plastic States of Thin-Walled Semi-Slender Columns
- 1 Independent Researcher, Poland
Stability of structures, as known, is a challenging issue, especially in critical engineering, i.e., in designing structures which in a wrong design process could cause a catastrophe. The avoidance of possible stability troubles is mandatory. In this study, the simplifications and hypotheses of loss of stability by lateral buckling in elastic-plastic states of semi-slender columns axially compressed by force are presented. The Tetmajer-Jasiński’s and Johnson-Ostenfeld’s simplifications as well as Engesser-Kármán-Shanley’s, Ylinen, Březina, Pearson-Bleich-Vol’mir’s and author’s approximated hypotheses are analysed. The graphs of surface functions of the compressing critical stress σcr depending on the ratios μ = a/t or δ = R/t and χ = L/t are presented as the theoretical examples of thin-walled cylindrical and square columns made of steel R35. In order to compare the results of the author’s approximated hypothesis, i.e., the modified Engesser-Kármán-Shanley’s hypothesis with others simplifications and hypotheses are shown in adequately ranges for elastic-plastic states as the graphs of the functions σcr(λ).
Copyright: © 2020 Krzysztof Murawski. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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- Elastic-Plastic States