TORSIONAL-FLEXURAL BUCKLING OF THIN-WALL COLUMN OF SINGLE SYMMETRICAL OPEN SECTION USING RITZ METHOD

Abstract: This paper investigates the torsional-flexural buckling behavior of thin-walled columns with single symmetric open sections. It focuses on deriving and solving the buckling equations for these specific column configurations. The analysis reduces the problem to a system of algebraic eigenvalue-eigenvector problems, identifying the critical buckling loads and modes. The buckling behavior is described by a system of three homogeneous differential equations, with two uncoupled equations, simplifying the analysis. Numerical examples illustrate that critical buckling loads decrease as column length increases, highlighting the relationship between length and stability. The results were validated through comparisons with established methods, including the differential equations method by Jerath (2020) and the equilibrium of deformed shape approach by Iyengar (1988), both of which show consistent results. This research contributes to a deeper understanding of the stability of thin-walled columns, providing essential insights for structural design and safety. Keywords: Single symmetric section, thin-walled column, flexural-torsional buckling, Ritz method, eigenvalue-eigenvector problem. Title: TORSIONAL-FLEXURAL BUCKLING OF THIN-WALL COLUMN OF SINGLE SYMMETRICAL OPEN SECTION USING RITZ METHOD Author: Nwachukwu Ikenna Marcel, David Ogbonna Onwuka, Ulari Sylvia Onwuka, F. C. Njoku, O. M. Ibearugbulem, I. C. Onyechere International Journal of Civil and Structural Engineering Research ISSN 2348-7607 (Online) Vol. 12, Issue 2, October 2024 - March 2025 Page No: 59-74 Research Publish Journals Website: www.researchpublish.com Published Date: 12-December-2024 DOI: https://doi.org/10.5281/zenodo.14410649 Paper Download Link (Source) https://www.researchpublish.com/papers/torsional-flexural-buckling-of-thin-wall-column-of-single-symmetrical-open-section-using-ritz-method