Thin circular plate uniformaly loaded over a concentric elliptic path and supported on columns

Abstract

Within the limitations of the classical thin plate theory expressions are obtained for the small deflections of a thin isotropic circular plate uniformly loaded over a concentric ellipse and supported by four columns at the vertices of a rectangle whose sides are parallel to the axes of the ellipse. Formulae are given for the moments and shears at the centre of the plate and on the edge. Limiting cases are investigated.

Keywords

• deflections of circular plates
• four point supports
• free boundary
• uniform loading on a concentric ellipse.