An Efficiency Method For Assessment Of Shear Stress In Prismatic Beams With Arbitrary Cross-Sections

SUSTAINABILITY(2021)

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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.
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Key words
Gruttmann shear stress, Saint Venant torsion and torsionless bending, nine-noded quadrilateral element
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