wseas-12113-20260929114338-6c8860 20260929114338821 wseas/wseas wseas.group@gmail.com WSEAS WSEAS Transactions on Applied and Theoretical Mechanics 1991-8747 2224-3429 12 02 2025 12 02 2025 21 Diogo A. M. Solha Department of Mechanical Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, PORTUGAL Elza M. M. Fonseca Department of Mechanical Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, PORTUGAL Under compression and elevated temperatures, carbon or stainless steel columns lose stiffness and strength, leading to earlier global and local buckling and failure. In this work, the main aim is to present an analytical and numerical method that links the column theory to the buckling response at elevated temperatures. Various parametric studies are shown to compare the critical buckling load between the analytical and numerical results using the finite element method. Columns under compression at different temperatures (20, 400, 600 and 800 ºC) are assessed. The main goal is to demonstrate that using the finite element method offers an alternative approach for studies involving different materials and shape configurations. 09 29 2026 09 29 2026 205 22 https://creativecommons.org/licenses/by/4.0/ 10.37394/232011.2026.21.22 https://wseas.com/journals/articles.php?id=12113 EN 1993-1-4, Eurocode 3 -Design of steel structures -Part 1-4: General rules -Supplementary rules for stainless steels. CEN : Bruxelles, Belgium, 2006. EN1993-1-1, Eurocode 3: Design of Steel Structures-Part 1-1: General Rules and Rules for Buildings. CEN: Bruxelles, Belgium, 2005. EN1993-1-3, Eurocode 3: Design of Steel Structures-Part 1-3: General Rules. Supplementary rules for cold-formed members and sheeting. CEN: Bruxelles, Belgium, 2004. Samer Nemer and F. Papp. Numerical Investigation on Flexural Buckling Behavior of Hot-rolled Steel Columns at Elevated Temperatures. Periodica Polytechnica-civil Engineering, vol. 65 (3), 2021. https://doi.org/10.3311/ppci.17799. V. Birman. Thermal buckling and postbuckling of columns accounting for temperature effect on material properties. Journal of Thermal Stresses, vol. 45, pp. 1043 – 1056, 2022. doi.org/10.1080/01495739.2022.2118198 Xia Yan and T. Gernay. Local buckling of cold-formed high-strength steel hollow section columns at elevated temperatures. Journal of Constructional Steel Research, 196(3):107403, 2022. doi.org/10.1016/j.jcsr.2022.107403. Zhiwei Yu, F. Ren, Huihuan Ma and Aijun Zhang. Experimental study and numerical analysis on bearing capacity of 6082-T6 aluminum alloy columns under eccentric compression at elevated temperatures. Structures, vol. 35, pp. 1219 – 1231, 2022. doi.org/10.1016/j.istruc.2021.09.007 V. Birman. Thermal buckling and postbuckling of columns accounting for temperature effect on material properties. Journal of Thermal Stresses, vol. 45, pp. 1043 – 1056, 2022. doi.org/10.1080/01495739.2022.2118198 H. Craveiro, R. Rahnavard, L. Laím, R. Simões and A. Santiago. Buckling behavior of closed built-up cold-formed steel columns under compression. Thin-Walled Structures, vol. 179, 109493, 2022. doi.org/10.1016/j.tws.2022.109493 Yixiao Mei, H. Ban, Guohao Zhou, Yongjiu Shi and Z. Tian. Overall buckling behaviour of superior high-performance steel columns under fire. Journal of Constructional Steel Research, vol. 195, 107351, 2022. doi.org/10.1016/j.jcsr.2022.107351 Trahair N.S., Bradford M.A., Nethercot D.A., Gardner L. The Behaviour and Design of Steel Structures to EC3, 4th ed.; Taylor & Francis, New York, USA, 2008. ISBN-13: 9780415418652 E.M.M. Fonseca, Steel Columns under Compression with Different Sizes of Square Hollow Cross-Sections, Lengths, and End Constraints. Applied Sciences, 14(19), 2024. doi.org/10.3390/app14198668. EN1993-1-2, Eurocode 3: Design of Steel Structures-Part 1-2: General Rules Structural -Fire Design. CEN: Bruxelles, Belgium, 2005. Pekka Yrjölã. Stainless Steel Hollow Sections Handbook. Finnish Constructional Steelwork Association Ltd., ISBN: 978-952-9683-39-0, 2008. Zaiwei Lin, Marco Morandini, Eigenvalue buckling analysis through differential equations built on the beam cross section, Computers & Structures, vol. 318, 107945, 2025. doi.org/10.1016/j.compstruc.2025.107945