Novel simplified equations for Vierendeel design of beams with (elongated) circular openings

Panedpojaman, Pattamad; Thepchatri, Thaksin; Limkatanyu, Suchart

doi:10.1016/j.jcsr.2015.04.007

Cited by 35 publications

(17 citation statements)

References 10 publications

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“…The fit coefficients for equations ( 15), ( 16) and ( 17) were determined on the basis of the FEM analysis results curve fit and are presented in Table 1. Compression stress and load capacity should be determined analogous to the Tsavdaridis method [32], using the modified effective width of the strut b em , formula (19). Factor χ is to be determined according to PN-EN 1993-1-1 §6.3.1.2.…”

Section: Modification Of Effective Length By Wangmentioning

confidence: 99%

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Cellular Beams with Closely Spaced Web Openings – A Review of Analytical Calculation Models for Web-Post Buckling

Saternus¹

2022

Adv. Sci. Technol. Res. J.

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This paper is devoted to cellular beams manufactured by fl ame cutting and welding of hot rolled I-sections. The infl uence of fabrication proces ses on the size of geometric and material imperfections was considered. Static performance was characterised, as were the failure modes, with particular emphasis on the Vierendeel mechanism and web-post buckling. As the literature review shows, a local loss of web post stability is a frequent failure mode of cellular beam with closely spaced web openings. The main objective of this paper is present a summary of research on web post buckling (WPB) in cellular beams in light of the available analytical computational methods for determining WPB resistance based on the analogy to compression member buckling. This paper addresses the need for a clear assessment of the discrepancies between the assumptions and calculation algorithms used in the presented methods, so far lacking in the literature. This paper includes an explanation of the essence of the WPB phenomenon, a summary of the basic assumptions and algorithms used in the available methods, a description of the differences between them, and a critical comparison of these methods. The presented algorithms were unifi ed and adjusted to the nomenclature of PN-EN 1993-1-1. For 7 cellular beams, the analytical column buckling resistance under the action of vertical shear force was determined according to 5 analytical methods implemented in MS Excel. The results were presented in tabular and graphical forms. Signifi cant discrepancies between the results from the diff erent methods were shown and discussed. The assumptions of the methods vary signifi cantly. The largest diff erences between the predicted resistances were observed for narrow posts, while for wider posts, the methods showed better agreement. The lack of clear consensus on the correct design procedure does not encourage designers to optimally design such load-bearing members or may lead to construction disasters. This article indicates the points of disagreement concerning the calculation models used and outlines the direction for further work. A step for future work will be to verify the assumptions of numerical models and establish clear guidelines for designers in the fi eld of analytical calculations.

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Section: Modification Of Effective Length By Wangmentioning

confidence: 99%

“…The beam can transfer additional load until four plastic hinges develop at the ends of the tees near the opening corners, which is understood as the Vierendeel mechanism [16,17]. The development of local yielding and the influence of the cutout geometry on the VM have been the subject of many studies reported in the literature [18,19].…”

Section: Introductionmentioning

confidence: 99%

Cellular Beams with Closely Spaced Web Openings – A Review of Analytical Calculation Models for Web-Post Buckling

Saternus¹

2022

Adv. Sci. Technol. Res. J.

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“…If, however, the cellular beam is considered in the analysis, with the circular webopenings, then the effective application of that model is no longer so easy because of the difficulty in unambiguously determining the position of the critical beam cross-section. Let us note that the normal stress distribution around the considered web-opening is a nonlinear function of the polar coordinate  , being dependent both on the geometric parameters of the beam-cross-section and on the value of internal forces and moments which are induced in such a section [5,6] (Fig. 3).…”

Section: Static Model Of a Cellular Beammentioning

confidence: 99%

Failure Modes Determining the Resistance and the Stability of Steel Cellular Beams

Kuchta

Maślak

2015

ZNPRzBiS

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Effective failure modes relating to the steel cellular beams that nowadays have become widely used as a part of a building load-bearing structure are identified and discussed in detail. They are presented as those being critical both due to the structural resistance evaluation and due to the stability assessment. In the first case, the ultimate bending moment resistance of a whole beam in the presence of shear is estimated as well as the resistance of the beam tee section located at mid-length of the web-opening. Regarding to the verification of beam stability not only the lateral-torsional buckling is taken into consideration but also the shear buckling of the beam web and even the local instability of a web-post. Finally, the risk of the rupture of a welded joint located in a beam web-post is assessed to check if it is so small that it can be accepted by the building user.

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“…The behaviour and design of perforated steel beams at ambient temperature have been thoroughly investigated by various experimental, analytical and numerical studies (Chung et al, 2001;Lawson et al, 1992;Liu and Chung, 2003;Panedpojaman and Rongram, 2014;Shaheen et al, 2018;Tsavdaridis et al, 2013). The presence of web openings reduces the capacity of the beam sections and introduces various complex modes of failure that may occur at or around the openings.…”

Section: Introductionmentioning

confidence: 99%

Performance of axially restrained carbon and stainless steel perforated beams at elevated temperatures

Shaheen

Afshan

Foster

2021

Advances in Structural Engineering

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This article compares the fire performance of axially restrained perforated carbon and austenitic stainless steel composite beams with circular and rectangular web openings. Finite element models, validated against experimental tests from the literature, were used to perform parametric analysis. The beams were analysed under various levels of load ratio and axial restraint stiffness covering the ranges which may exist in practice. It is concluded that austenitic stainless steel perforated beams show a more ductile fire response compared to carbon steel beams of similar geometry. It is shown that despite stainless steel’s higher thermal expansion, the beams exhibit lower thermal-induced peak compressive forces than carbon steel beams giving rise to lower levels of thermal-induced compressive force on the adjacent cold structures. The load ratio was found to determine the relative survivability of stainless steel and carbon steel beams, where at load ratios lower than 0.6, stainless steel beams show superior fire resistance than their carbon steel counterparts. The article also assesses the applicability and accuracy of the Steel Construction Institute method for the design of carbon and stainless steel perforated beams, and recommendations for future improvements are made.

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Novel simplified equations for Vierendeel design of beams with (elongated) circular openings

Cited by 35 publications

References 10 publications

Cellular Beams with Closely Spaced Web Openings – A Review of Analytical Calculation Models for Web-Post Buckling

Cellular Beams with Closely Spaced Web Openings – A Review of Analytical Calculation Models for Web-Post Buckling

Failure Modes Determining the Resistance and the Stability of Steel Cellular Beams

Performance of axially restrained carbon and stainless steel perforated beams at elevated temperatures

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