Stress Localization in the Wide Cantilever Beams-A 2D Theory

## Stress Localization in the Wide Cantilever Beams-A 2D Theory

© 2022 by IJETT Journal
Volume-70 Issue-10
Year of Publication : 2022
Authors : Kaushal Kumar, Gyani Jail Singh
DOI : 10.14445/22315381/IJETT-V70I10P235

How to Cite?

Kaushal Kumar, Gyani Jail Singh, "Stress Localization in the Wide Cantilever Beams-A 2D Theory ," International Journal of Engineering Trends and Technology, vol. 70, no. 10, pp. 363-370, 2022. Crossref, https://doi.org/10.14445/22315381/IJETT-V70I10P235

Abstract
Based on the shear lag effect, stress localization has been studied in beams such as box beams, T-beams, and Ubeams. A study of stress localization within a simple wide beam is presented using the energy principle. Conveniently, the closeform solutions of the differential equations are derived. Solving the differential equations, simple equations for bending stresses and deflections are presented considering the stress localization due to the shear lag effect. The methodology is illustrated by a numerical example demonstrating its simplicity and accuracy. The theoretical results are validated with literature and finite element analysis (FEA). The theoretical results are closely in line with the literature and FEA. Stress localization has reduced the bending moment capacity of the example beam by 30% for uniform distribution of the load (UDL) and 21% for point loads(PL). Short wide beams such as pier heads are highly recommended to consider stress localization, as this reduces the bending capacity of the beam.

Keywords
Shape function, Effective width, Stress localization, Warping, Wide beam.

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