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Enhanced Radial Stress Method (RSM) for cellular beams in EN 1993-1-13 to account for elasto-plastic behaviour

Psyrras, G., Tsavdaridis, K. ORCID: 0000-0001-8349-3979 & Lawson, R. M. (2026). Enhanced Radial Stress Method (RSM) for cellular beams in EN 1993-1-13 to account for elasto-plastic behaviour. Journal of Constructional Steel Research, 239, article number 110221. doi: 10.1016/j.jcsr.2025.110221

Abstract

In cellular beams with circular openings, Vierendeel bending failure is caused by the local bending around the web openings in regions of high shear. In BS EN 1993-1-13, a Radial Stress Method (RSM) is presented, which is based either on the elastic resistance of the inclined T13 sections around the openings or on their plastic bending resistance dependent on the section classification of the inclined T-section, which results in a step between elastic and plastic properties. The RSM method also fails to account for stress redistribution between the lower moment side and the higher moment side of openings. This study investigates the RSM for circular openings in a typical UB 457x152x52 beam, that is modelled and analysed using Abaqus. The RSM is extended to an elasto-plastic analysis of the inclined T-sections that gives a way of evaluating the development of the Vierendeel bending mechanism and may be used for slender webs. The elasto-plastic analysis around the openings subject to axial force, shear and bending is based on a multiple of the yield strain at the edge of the opening. This is compared to the non-linear FEA results, which show good agreement for the stress distribution around the openings on the lower moment and higher moment sides of the openings for all combinations of applied shear and moment. The results of the method are also compared to cellular beam tests results failing in Vierendeel bending.

Publication Type: Article
Additional Information: This is an open access article distributed under the terms of the Creative Commons CC-BY license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Publisher Keywords: Vierendeel bending; Elasto-plastic behaviour; Plastic hinges; Yield load; Radial Stress Method; Finite Element Analysis
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: School of Science & Technology
School of Science & Technology > Department of Engineering
SWORD Depositor:
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