Publication detail

The effect of cross-section geometry on the lateral-torsional behavior of thin-walled beams: Analytical and numerical studies

HAFFAR, M. HORÁČEK, M. ÁDÁNY, S.

Original Title

The effect of cross-section geometry on the lateral-torsional behavior of thin-walled beams: Analytical and numerical studies

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, the elastic lateral-torsional behavior of simple beams is discussed by presenting a novel analytical solution and performing numerical studies. The motivation of the presented research is the observation that classic analytical prediction and finite element prediction are, typically, significantly different when the second -order nonlinear behavior of beams with initial imperfections is analyzed. To understand and explain the observed differences, a novel analytical model is worked out for the geometrically nonlinear analysis of beams with initial geometric imperfections. The advancement in the presented analytical solution is the explicit consideration of the changing geometry as the load increases. The most important steps of the derivations are summarized, and the resulting formulae are briefly discussed. The derivations are done for general cross -sections, however, the bending is assumed to act in one of the principal planes. Numerical studies are also presented, focusing on mono-symmetric cross-sections. As part of the numerical studies, first, the results of the new analytical formulae are compared to those from shell finite element analysis. The results suggest that the new formulae can capture the most essential elements of the behavior observed in the shell finite element calculations, justifying that the cross-section shape might have a significant effect on the nonlinear lateral-torsional behavior of beams. Then the effect of the lateral-torsional buckling is predicted by calculating buckling reduction factors, using the results of the geometrically nonlinear finite element calculations. The capacity prediction results, again, justify that the cross-section shape, as well as the sign of the assumed geometric imperfection, might have a non-negligible effect on the buckling reduction factors, and on the capacity of the member.

Keywords

Lateral-torsional buckling; Geometrically nonlinear analysis; Geometric imperfections; Mono-symmetric cross-sections

Authors

HAFFAR, M.; HORÁČEK, M.; ÁDÁNY, S.

Released

17. 1. 2023

Publisher

ELSEVIER SCI LTD

Location

OXFORD

ISBN

0263-8231

Periodical

THIN-WALLED STRUCTURES

Year of study

184

Number

3

State

United Kingdom of Great Britain and Northern Ireland

Pages count

15

URL

https://www.sciencedirect.com/science/article/pii/S0263823123000137

Full text in the Digital Library

http://hdl.handle.net/11012/209231

BibTex

@article{BUT182114,
  author="Muhammad Ziad {Haffar} and Martin {Horáček} and Sándor {Ádány}",
  title="The effect of cross-section geometry on the lateral-torsional behavior of thin-walled beams: Analytical and numerical studies",
  journal="THIN-WALLED STRUCTURES",
  year="2023",
  volume="184",
  number="3",
  pages="15",
  doi="10.1016/j.tws.2023.110535",
  issn="0263-8231",
  url="https://www.sciencedirect.com/science/article/pii/S0263823123000137"
}