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

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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.

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Abbreviations

M u :

Applied bending moment

V u :

Applied shear force

M p :

Plastic flexural capacity

V p :

Plastic shear capacity

M yf :

Yield moment considering the flanges only

A g :

Gross-sectional area

b f :

Flange width

h w :

Clear web depth

r :

Radius of fillet at the web-flange joint

t w :

Web thicknesses

t f :

Flange thicknesses

σ cr :

Critical stress for pure bending

τ cr :

Critical stress for pure shear

E :

Elastic modulus

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

f y :

Yield strength of steel section

Z x :

Plastic section modulus

f y,T :

Yield strength of steel section at temperature

τ yw :

Shear yield strength of the steel web

d :

Overall depth for hot-rolled beams

C v :

Web shear coefficient that depends on slenderness of web

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Acknowledgements

This material is based upon the work supported by the National Science Foundation under Grant number CMMI-1068621 to Michigan State University. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the sponsors.

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Authors and Affiliations

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

    Mohannad Zeyad Naser

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

    Venkatesh Kodur

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  1. Mohannad Zeyad Naser
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  2. Venkatesh Kodur
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Correspondence to Mohannad Zeyad Naser.

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Naser, M.Z., Kodur, V. Effect of Temperature-Induced Moment-Shear Interaction on Fire Resistance of Steel Beams. Int J Steel Struct 20, 1540–1551 (2020). https://doi.org/10.1007/s13296-020-00388-4

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