Basic Concepts, Background Review: Theory of Elasticity, Matrix displacement formulation, Energy concepts, Equilibrium and energy methods for analyzing structures.
Raleigh - Ritz Method, Galerkin’s Method, Simple applications in structural analysis.
Displacement function and natural coordinates, construction of displacement functions for 2 D truss and beam elements.
Applications of FEM for the analysis of fine truss, continuous beam and simple plane frame problems.
Elements and shape functions, Triangular, rectangular and quadrilateral elements, different types of elements, their characteristics and suitability for application.
Polynomial shape functions, Lagrange’s and Hermitian polynomials, compatibility and convergence requirements of shape functions.
Isoparametric, subparametric and super- parametric elements, characteristics of isoparametric quadrilateral elements.
Structure of computer program for FEM analysis, description of different modules, pre and post processing.