Research Article | Open Access | Download PDF
Volume 13 | Issue 8 | Year 2026 | Article Id. IJCE-V13I8P110 | DOI : https://doi.org/10.14445/23488352/IJCE-V13I8P110Effect of Instability Factors under Compressive Loads for Metal Structures: Residual Stresses and Geometric Imperfections
Manuela Yannela Huaman Melgarejo, Luis Fernando Upiachihuay Rosales, Marx Anthony Chahuayo Fernandez, Giancarlo Fernando Meza Terbullino
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 26 Apr 2026 | 25 Jun 2026 | 24 Jul 2026 | 31 Aug 2026 |
Citation :
Manuela Yannela Huaman Melgarejo, Luis Fernando Upiachihuay Rosales, Marx Anthony Chahuayo Fernandez, Giancarlo Fernando Meza Terbullino, "Effect of Instability Factors under Compressive Loads for Metal Structures: Residual Stresses and Geometric Imperfections," International Journal of Civil Engineering, vol. 13, no. 8, pp. 172-182, 2026. Crossref, https://doi.org/10.14445/23488352/IJCE-V13I8P110
Abstract
The consideration of geometric imperfections and residual stresses are inevitable in the compression design of metallic structures that are prone to buckle; nonetheless, the sensibility of these parameters to compression stresses lead to their collapse that trigger the loss of human lives and to the cost increase of the construction sector without a previous analysis. Thus, the evaluation of the influence of geometric imperfections in residual stresses in elements subjected to compressions tresses for different degrees of slenderness was proposed. With the aim to attain this, a procedure focused on the stated frameworks of the American Institute of Steel Construction (AISC), the Building Technical Code SE-A (CTE) and the sensitivity analysis for the critical load in the Finite Element model. The results showed that the AISC values for torsional and flexural buckling are often higher than the CTE guide. Also, for thin objects, the effect of imperfections in shape and remaining stresses can make the material weaker. Finally, it has been decided that these instability effects need to be considered in slender elements according to the CTE guide. This means that the reduced slenderness (λ0) should be taken into account if the AISC code is used to evaluate buckling loads.
Keywords
Buckling, Critical load, Instability, Rolled profile.
References
- Juan Carlos Pomare et al., “Safety Issues in Buckling of Steel Structures by Improving Accuracy of Historical Methods,” International Journal of Environmental Research and Public Health, vol. 18, no. 22, pp. 1-21, 2021.
[CrossRef] [Google Scholar] [Publisher Link] - WFEO Disaster Risk Management Committee, Engineering and Resilience in Disaster Risk Management for Sustainable, pp. 1-37, 2022.
[Publisher Link] - Katarzyna Rzeszut, “Post-Buckling Behaviour of Steel Structures with Different Types of Imperfections,” Applied Sciences, vol. 12, no. 18, pp. 1-21, 2022.
[CrossRef] [Google Scholar] [Publisher Link] - Nadia Gouide et al., “Axial Behavior and Stability of Built-Up Cold-Formed Steel Columns with and without Concrete Infill: Experimental and Numerical Investigation,” Computer Modeling in Engineering & Sciences, vol. 145, no. 1, pp. 457-481, 2025.
[CrossRef] [Google Scholar] [Publisher Link] - Manmohan Dass Goel et al., “An Abridged Review of Buckling Analysis of Compression Members in Construction,” Buildings, vol. 11, no. 5, pp. 1-17, 2021.
[CrossRef] [Google Scholar] [Publisher Link] - Jifeng Xu, Qun Zhao, and Pizhong Qiao, “A Critical Review on Buckling and PostBuckling Analysis of Composite Structures,” Frontiers in Aerospace Engineering, vol. 2, no. 3, pp. 157-168, 2013.
[Google Scholar] - Yong-Lin Pi, and N. S. Trahair, “In-Plane Buckling and Design of Steel Arches,” Journal of Structural Engineering, vol. 125, no. 11, pp. 1291-1298, 1999.
[CrossRef] [Google Scholar] [Publisher Link] - Jonas Nonn, Vera Wilden, and Markus Feldmann, “A Consistent Approach for Global Buckling of Steel Structures,” Steel Construction Steel Construction, vol. 16, no. 2, pp. 93-104, 2023.
[CrossRef] [Google Scholar] [Publisher Link] - Ben Young, “Local Buckling and Shift of Effective Centroid of Cold-Formed Steel Columns,” Steel and Composite Structures, vol. 5, no. 2, pp. 235-246, 2005.
[Google Scholar] - Jack McCormac, and Stephen Csernak, Maple Construction Design, Alfaomega, 2013.
[Google Scholar] - Technical Building Code (CTE), [Online]. Available: https://www.boe.es/biblioteca_juridica/codigos/codigo.php?id=424&modo=2¬a=0&tab=2
- K. Swaminathan et al., “Stress, Vibration and Buckling Analyses of FGM Plates—A State-of-the-Art Review,” Composite Structures, vol. 120, pp. 10-31, 2015.
[CrossRef] [Google Scholar] [Publisher Link] - UNE-EN 1993-1-1:2013/A1:2014, UNE. [Online]. Available: https://www.une.org/encuentra-tu-norma/busca-tu-norma/norma?c=N0053185
- Marius Botis, Lajos Imre, and Mircea Conțiu, “Numerical Method of Increasing the Critical Buckling Load for Straight Beam-Type Elements with Variable Cross-Sections,” Applied Sciences, vol. 13, no. 3, pp. 1-42, 2023.
[CrossRef] [Google Scholar] [Publisher Link] - Mehmed Čaušević, and Mladen Bulić, “Steel Plate Elements Subjected to Load in their Own Plane – Buckling Factors and Critical Loads,” Građevinar, vol. 64, no. 2, pp. 115-125, 2012.
[CrossRef] [Google Scholar] [Publisher Link] - Irvin Quillupangui, Balázs Somodi, and Balázs Kövesdi, “Overview of FEM-Based Resistance Models for Local Buckling of Welded Steel Box Section Columns,” Applied Sciences, vol. 14, no. 5, pp. 1-26, 2025.
[CrossRef] [Google Scholar] [Publisher Link] - UNE-EN 1993-1-5:2013, UNI. [Online]. Available: https://www.une.org/encuentra-tu-norma/busca-tu-norma/norma?c=N0051041
- J.L. Romero et al., “Finite Elements with Equivalent Distributed Actions of Any Order. Application to Timoshenko and Bernoulli-Euler Beam Models,” Construction Reports, vol. 66, no. 535, pp. 1-18, 2014.
[CrossRef] [Google Scholar] [Publisher Link] - Yong Feng et al., “Axial Compression Behaviour of Welded High-Strength H-Columns Experimental Tests and Numerical Simulations,” Case Studies in Construction Materials, vol. 19, pp. 1-16, 2023.
[CrossRef] [Google Scholar] [Publisher Link] - H. Yılmaz, “Buckling of Steel Plates Under Rotational Restraints: An Integration of Experimental Testing and the Vibration Correlation Technique,” Experimental Mechanics, vol. 65, no. 6, pp. 869-884, 2025.
[CrossRef] [Google Scholar] [Publisher Link] - José Cegoñino, and Amaya Pérez del Palomar, Structural Analysis. Problems, University of Zaragoza Press, pp. 1-22, 2018.
[Google Scholar] [Publisher Link] - Sabina De Lis, and José Claudio, Nonlinear Analysis Introductory Course. Applications, University of La Laguna, pp. 1-248, 2005.
[Google Scholar] [Publisher Link] - Gutiérrez Aguilera, and Pedro Alexander, Publication: Characteristics of Steel as a Structural Material, Cooperative University of Colombia, pp. 1-13, 2023.
[CrossRef] [Google Scholar] [Publisher Link] - Latin American Iron and Steel Institute, Alacero: Steel Framing: Arquitectura, ILAFA, pp. 1-117, 2006.
[Google Scholar] [Publisher Link] - F. B. Varona Moya, and L. García Andión, “Linear Analysis with Limited Redistribution and the Ductility Criteria of the Sections,” Concrete and Steel, vol. 61, no. 257, pp. 1-11, 2010.
[Google Scholar] [Publisher Link] - W.T. Matias Silva, A.A. Cunha, and M.P. Duque Gutiérrez, “Nonlinear Analysis of Plane Frames using the Corotational Formulation with Timoshenko Beam Element,” International Journal of Numerical Methods for Engineering Calculation and Design, vol. 33, no. 1-2, pp. 115-122, 2017.
[CrossRef] [Google Scholar] [Publisher Link] - María Villoldo Lozano, “Linear and Nonlinear Buckling of Beam Structures,” University of Madrid, pp. 1-162, 2021.
[Google Scholar] [Publisher Link] - Ronald D. Ziemian, Guide to Stability Design Criteria for Metal Structures, Wiley, pp. 1-1120, 2010.
[Google Scholar] [Publisher Link] - Theodore V. Galambos, and Robert L. Ketter, “Columns Under Combined Bending and Thrust,” Journal of the Engineering Mechanics Division, vol. 85, no. 2, 1959.
[CrossRef] [Google Scholar] [Publisher Link] - Mariana Mohana Rodrigues da Silva, Evandro Parente Junior, and Marcelo Silva Medeiros Junior, “Study of the Influence of Geometric Imperfections and Residual Stresses on the Stability of Steel Columns Subjected to Axial Compression,” Proceedings of the 2024: XLV Ibero-Latin American Congress on Computational Methods in Engineering, Maceco, Alagoas, pp. 1-7, 2024.
[CrossRef] [Google Scholar] [Publisher Link] - Alejandro R. Ratazzi, Daniel H. Felix, and Gonzalo J. Gilardi, “Numerical Determination of Critical Local Buckling Loads in Thin and Open Wall Profiles Subjected to Flexural Compression Loads,” Structural Analysis, vol. 41, no. 4, pp. 207-216, 2024.
[CrossRef] [Google Scholar] [Publisher Link] - J. Cervera et al., “Steel Compression Design: The Buckling's Weigth,” International Journal of Numerical Methods for Calculation and Design in Engineering, vol. 29, no. 2, pp. 79-91, 2013.
[CrossRef] [Google Scholar] [Publisher Link] - BOE-A-2021-13681 Royal Decree, 2021. [Online]. Available: https://www.boe.es/buscar/doc.php?id=BOE-A-2021-13681
- Yichen Yang et al., “Global/Local Buckling Analysis of Thin-Walled I-Section Beams via Hierarchical One-Dimensional Finite Elements,” Engineering Structures, vol. 280, 2023.
[CrossRef] [Google Scholar] [Publisher Link]