Journals Proceedings

Abstract

This paper presents study on improving the theory of plate bending. In doing this, it was assumed that none of the components of stress tensor and strain tensor shall be neglected. This assumption presupposes that all the components of stress tensor and strain tensor are significant. Constitutive equations were determined. Equilibrium equations of a static body at state of stress was used in conjunction with equations of strain-displacement and constitutive equations to determine the improved governing equation and stress resultants. A numerical problem was solved for a square plate simply supported at all the four edges. Obtained result indicated that maximum deflection and bending moment are -0.003377qa4/D and -0.0397125qa2 respectively. The corresponding values from classical theory are 0.00414qa4/D and 0.05163qa2 respectively. It was observed that the maximum deflection and bending moment from classical theory were higher than the magnitude of those from the present study by 18% and 23% respectively. It was also observed that the values from the present study are negative while those from the classical theory are positive.