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Application of a New Refined Shear Deformation Theory for the Analysis of Thick Rectangular Plates

Authors: Onyeka FC, Osegbowa D, Arinze EE


This study presents the application of a new refined plate theory (NRPT) in the static flexural analysis of a rectangular thick plate under uniformly distributed load using the energy method. This new RPT was achieved by incorporating a trigonometric shear deformation theory into a fourth order polynomial–displacement function which was obtained from the principle of elastic theory. The particular plate boundary condition to be analysed is clamped on the third edge and the other three edges simply supported (CSSS). The coefficient of deflection and shear deformation were derived by subjecting the energy equation obtained to direct variation to get the actual deflection, in-plane displacement, normal and shear stresses, moment and stress resultants of the rectangular thick plate. The results obtained from this work was compared with those obtained from other refined plate theories with the same support condition and showed good agreement with those in the literature.

Affiliations: Department of Civil Engineering, Faculty of Engineering, Edo University Iyamho, Edo State, Nigeria.
Keywords: Energy Method, Trigonometric Shear Deformation, New Refined Plate Theories, CSSS, Rectangular Plate
Published date: 2020/12/30

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ISSN: 2635-3342 (Print)

ISSN: 2635-3350 (Online)

DOI: In progress

ISI Impact Factor: In progress

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

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Chemical Engineering Department, Faculty of Engineering, University of Benin, PMB 1154, Ugbowo, Benin City, Edo State, Nigeria.