نظرية المرونة

Introductions; review of stress and strain at a point, sign conventions, plane stress plane strain simplifications for 2-D problems, Stresses and strain invariants. Formulation of an elasticity problem; equilibrium equations, compatibility equations, the Airy Stress Function, St. Venant's Principle. Two-dimensional problems in rectangular coordinates; solution by polynomials, solution by Fourier series, specific cases. Two-dimensional problems in polar coordinates, governing equations in polar coordinates, bodies with no center hole, bodies with a center hole, specific cases. Strain Energy methods; Ritz method, Galerkin method. Torsion of Prismatic Bars with Non-circular cross-section, rectangular cross sections, elliptical cross sections, membrane analogy, hollow shafts. Axially Symmetric Problems; semi-infinite solids, boussinesq problems. Introduction to elastic stability.

Course ID: CCE 6110