Theory of Plates

Basic assumptions of the theory of thin plates. Deflection surface and its geometrical relations. Stress resultants. Differential equation of equilibrium of a plate element in cartesian and polar coordinates. Boundary conditions for rectilinear and curvilinear boundaries. Classical analytical solutions of plates (Navier, Levy), circular and annular plates. Plates with other geometrical shapes (skew, triangular, elliptic). Practical solutions of plates in Civil Engineering applications. Approximate and numerical solutions (Galerkin, Ritz, finite difference and finite element methods). Plates under in-plane forces, stability. Plates of variable thickness. Plates on elastic foundation. Large deflections of plates. Dynamic analysis of plates.