Introduction – Formulation of governing equations and associated boundary conditions by equilibrium and energy methods, Rectangular plates- Solution of equation by double and single series, Circular plates – Symmetric and unsymmetric loading cases, Continuous Plates, Plates with various plan forms, plates with variable flexural rigidity, plates on elastic foundation . Numerical and Approximate Methods- finite difference method- finite element method, energy methods and other variational methods. Introduction, Theory of Surfaces- first and second fundamental forms- principal curvatures, Formulation of governing equations in general orthogonal curvilinear coordinates based on classical assumptions- Various shell theories, Membrane theory- governing equations- shells of revolution- application to specific geometric shapes- ax symmetric and non –axisymmetric loading cases. General theory of shells- governing equations and associated boundary conditions for specific geometry of shells (cylindrical, conical and spherical shells)- classical solutions – finite difference and finite element methods applied to shell problems.