Effect of Temperature-Induced Moment-Shear Interaction on Fire Resistance of Steel Beams

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International Journal of Steel Structures https://doi.org/10.1007/s13296-020-00388-4

Effect of Temperature‑Induced Moment‑Shear Interaction on Fire Resistance of Steel Beams Mohannad Zeyad Naser1   · Venkatesh Kodur2 Received: 8 March 2019 / Accepted: 29 July 2020 © Korean Society of Steel Construction 2020

Abstract The interaction between bending and shear effects in steel beams can be amplified under fire conditions due to rapid degradation in strength and stiffness properties of steel, together with temperature-induced local instability effects. This paper presents temperature-induced moment-shear (M-V) interaction phenomenon in compact (Class 1) steel beams. Results generated from numerical studies are utilized to quantify the effects of temperature-induced critical parameters influencing moment-shear interaction, shear and flexural sectional capacity, as well as instability in steel beams under fire conditions. The major findings of this work are two folds: (1) occurrence of temperature-induced instability adversely reduces shear capacity, as compared to flexural capacity, and (2) this rapid degradation in shear capacity trigger moment–shear interaction phenomenon at elevated temperatures. Eventually, this shifts failure mode in steel beams towards a shear dominant failure mechanism on the interaction envelope. Keyword  Fire · Moment–shear interaction · Steel beams · Instability Abbreviations Mu Applied bending moment Vu Applied shear force Mp Plastic flexural capacity Vp Plastic shear capacity Myf Yield moment considering the flanges only Ag Gross-sectional area bf Flange width hw Clear web depth r Radius of fillet at the web-flange joint tw Web thicknesses tf Flange thicknesses σcr Critical stress for pure bending τcr Critical stress for pure shear E Elastic modulus * Mohannad Zeyad Naser [email protected] http://www.mznaser.com Venkatesh Kodur [email protected] 1



Glenn Department of Civil Engineering, Clemson University, Clemson, SC 29634, USA



Civil and Environmental Engineering, Michigan State University, 3546 Engineering Building, 428 S. Shaw Lane, East Lansing, MI 48824‑1226, USA

2

ν Poisson’s ratio b, t Width and thickness of plates subjected to bending h, tw Width and thickness of plates subjected to shear k Plate buckling coefficient fy Yield strength of steel section Zx Plastic section modulus fy,T Yield strength of steel section at temperature τyw Shear yield strength of the steel web d Overall depth for hot-rolled beams Cv Web shear coefficient that depends on slenderness of web

1 Introduction In most building applications, steel beams are primarily subjected to load effects arising from bending moment, and thus main consideration in design of beams is to satisfy bending requirements under both ambient and fire conditions (Zentz 2002; Crisan and Dubina 2016). However, in certain scenarios, shear effects can dominate response of steel beams especially when subjected to certain loading configurations such as high concentrated (point) loads acting on beams, as in