Research Article Open Access

Comparison of the Known Hypotheses of Lateral Buckling in the Elastic-Plastic States of Thin-Walled Semi-Slender Columns

Krzysztof Murawski1
  • 1 Independent Researcher, Poland

Abstract

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).

International Journal of Structural Glass and Advanced Materials Research
Volume 4 No. 1, 2020, 233-253

DOI: https://doi.org/10.3844/sgamrsp.2020.233.253

Submitted On: 2 October 2020 Published On: 21 December 2020

How to Cite: Murawski, K. (2020). Comparison of the Known Hypotheses of Lateral Buckling in the Elastic-Plastic States of Thin-Walled Semi-Slender Columns. International Journal of Structural Glass and Advanced Materials Research, 4(1), 233-253. https://doi.org/10.3844/sgamrsp.2020.233.253

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Keywords

  • Stability
  • Buckling
  • Elastic-Plastic States
  • Semi-Slender
  • Column