Uniformly Loaded Square Plate with Partially Simply Supported at the Middle Edges and Point-Column Supported at the Corners: II – Analytical Expressions

Prasert Ratchatasakron and Yos Sompornjaroensuk*

Department of Civil Engineering, Faculty of Engineering

Mahanakorn University of Technology, Bangkok 10530, Thailand

*Email: This email address is being protected from spambots. You need JavaScript enabled to view it. (corresponding author)

Manuscript received January 2, 2017

Revised March 31, 2017 

 

 ABSTRACT

In a companion paper, it has already been treated and derived an integral equation of the Fredholm-type. This equation governs the bending of uniformly loaded square plate in which the plate is supported by corner-point supports together with partial simple supports placed at the middle edges. Therefore, the current paper is aimed to further derive and propose the analytical closed-form expressions involving the plate deformations and stress resultants; namely, deflection, slope, bending moment, shear force in element, and corner force of the plate. 

Keywords:Analytical expression, Fredholm integral equation, Hankel integral transform, Plate Deformation, Square plate, Stress resultants. 

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