Extended Poisson’s Theory for Analysis of Bending of a Simply Supported Square Plate

International Journal of Civil Engineering

© 2015 by SSRG - IJCE Journal

Volume 2 Issue 11

Year of Publication : 2015

Authors : Kaza Vijayakumar

10.14445/23488352/IJCE-V2I11P101

How to Cite?

Kaza Vijayakumar, "Extended Poisson’s Theory for Analysis of Bending of a Simply Supported Square Plate," SSRG International Journal of Civil Engineering, vol. 2,  no. 11, pp. 1-5, 2015. Crossref, https://doi.org/10.14445/23488352/IJCE-V2I11P101

Abstract:

Nature of solutions from different methods of analysis is examined with reference to exact solution of text book problem of bending of a simply supported square plate under bi-sinusoidal load. Methods of analysis based on stationary property of total potential correspond to plate element equilibrium equations. In these methods, vertical displacement is a domain variable like in 3-D equations of equilibrium in terms of displacements. Aim of the present work is to show that these methods deal with solution of associated torsion problem instead of bending problem. Solution of bending problem is only through methods based on vertical displacement as a face variable.

Keywords:

Plates, Bending, Isotropy, Elasticity.

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