THIN CIRCULAR PLATE UNIFORMLY 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 load-ed over a c,ncentric ellipse and supported by four columns at the vertices of a recta,g[e whose sides are parallel to the axes of the ellipse. Formulae are given for the mo,aents and shears at the centre of the plate and on the edge. Limiting cases are invest igated. KEY WORDS AND PIIRASES. Deflections of circular plates, four point supports, free boundary, uniform loading on a concentric ellipse 1980 AMS SUBJECT CLASSIFICATION CODE. 73N. |. INTRODUCTION. The technological importance of thin elastic plates is sufficiently well estab-lished to require no elaboration. Thin slabs of material are structures which are widely used in engineering work and their transverse flexure has been extensively studied by many authors both theoretically and experimentally when the boundary of th