Introduction, General Description of the Finite Element Method, List of Steps Involved in the Finite Element Method, Engineering Applications of Finite Element Method, Advantages of the Finite Element Method.

Introduction, Matrix Algebra, Methods of Solution of Linear Algebraic Equations, Methods of Solution of Linear Algebraic Equations, Numerical Integration.

Introduction, Rayleigh-Ritz Method- Variational Formulation, Principle of Stationary Integrals, Total Potential Energy, Rayleigh-Ritz Method, Galerkin Method in Equilibrium Problems- Weighted-Residual Formulation, Galerkin Method, Governing Differential Equation of a Bar, Governing Differential Equation of Beam, Galerkin Method in Elasticity Problems- Green-Gauss Theorem in Elasticity, Derivation ......

Introduction, Governing Differential Equation Formulation, Finite Element Formulation for Static Problems, Mathematical Model, Discretization, Elements, Nodal Degree of Freedom, Coordinate Systems, Generalized Coordinate Finite Element Models, Shape Function, Assemblage Of Element Matrices And Vectors, Structural Symmetry And Anti-Symmetry.

Introduction, Isoparametric Linear Bar Element, Isoparametric Linear Triangular Element, Isoparametric Linear Quadrilateral Element, Isoparametric Linear Tetrahedral Element, Isoparametric Linear Hexahedral Element.

Introduction, Linear Bar Element, Constant-Strain Triangular (Cst) Element, Linear Quadrilateral Element, Linear Tetrahedral Element, Linear Hexahedral Element.

Introduction, Heat Transfer, Basic Equations of Heat Transfer, Governing Differential Equation for Heat Transfer in Three-Dimensional Bodies, Finite Element Formulation for Heat Transfer Problems, One-Dimensional Heat Conduction with Convection.

We know that the finite element method is a numerical processor for obtaining solution to
many of the problems encountered in engineering analysis. There by, it involves lot of
numerical computations and hence, it is not suitable for hand calculations. The method is
basically more suited for computer applications and therefore, it is computational basis of
many computer-assisted design program ......

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