An Efficiency Method for Assessment of Shear Stress in Prismatic Beams with Arbitrary Cross-Sections

Dang-Bao Tran, Jaroslav Navrátil and Martin Čermák
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Dang-Bao Tran: Department of Structures, Faculty of Civil Engineering, VSB—Technical University of Ostrava, Ludvíka Podéště 1875/17, 708 00 Ostrava, Czech Republic
Jaroslav Navrátil: Department of Structures, Faculty of Civil Engineering, VSB—Technical University of Ostrava, Ludvíka Podéště 1875/17, 708 00 Ostrava, Czech Republic
Martin Čermák: Department of Mathematics, Faculty of Civil Engineering, VSB—Technical University of Ostrava, Ludvíka Podéště 1875/17, 708 00 Ostrava, Czech Republic

Sustainability, 2021, vol. 13, issue 2, 1-17

Abstract: The dimensions of a bearing structure tend to be designed as slender as possible to ensure aesthetics and to save material, which makes the structure more susceptible to damage caused by shear forces. When the structure is subjected to an earthquake, the shear failure is even the primary mode of failure. Research on shear stress has always been of great interest to scientists. This paper presents an efficient method for the assessment of the shear stress for prismatic beams with arbitrary cross-section. The numerical method implemented in a MATLAB environment is validated by analyzing five examples. The study shows the efficiency and reliability of the numerical method, which allows for more precise analysis and design of cross-sections. Therefore, significant savings of material can be reached, which will have a positive impact on our environment and which can help sustainable growth.

Keywords: Gruttmann shear stress; Saint Venant torsion and torsionless bending; nine-noded quadrilateral element (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2021
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