Finite Element Analysis

Introduction to Finite Element Analysis

FEA Basics - Governing Differential Equations, Exact Solution and Weighted Residual Methods

Weighted Residual Methods - Galerkin, Petrov Galerkin, Subdomain, Least Square & collocation method

Rayleigh Ritz Method (RR Method)

Shape function and Interpolation function for Linear Bar Element

Shape function and Interpolation function for Quadratic Bar Element

Shape function and Interpolation function for Cubic Bar Element

Generation of Element Matrix Equation

1D Steady state Thermal Analysis

Truss Analysis - truss element derivation

Truss analysis - example problem

FEA - Beam Analysis example

Equations of Elasticity

Plane stress, plane strain & axisymmetric problems

2D Analysis - CST element, derivation of element stiffness

2D Analysis - CST element - example problem

2D Analysis - 4 noded Rectangular element

Lagrange and serendipity elements

2D Analysis - 4 Noded Quadrilateral element

2D analysis - Iso parametric elements

2D Analysis - Jacobian Matrix

2D Analysis - 8 noded and 9 noded Quadrilateral elements

2D Analysis - CST element in natural coordinates Part A

2D Analysis - CST element in natural coordinates Part B

2D Analysis - CST element example problem

2D Analysis - 4 Noded Quadrilateral element example problem

Dynamic Analysis - Axial Vibration of Rod

Dynamic Analysis - Transverse Vibration of Beam

Dynamic Analysis - Axial Vibration of Rod - Example Problem