UNIT 1:
Weighted residual techniques
Weighted residual techniques
Mathematical Modeling of field problems in Engineering
FEA General procedure –Discretization of the domain, advantages, limitations and applications of FEA
Weighted residual techniques
Weighted residual techniques
Weighted residual techniques
UNIT 2:
Shape function using natural coordinates and generalized coordinates
Springs, finite element formulation of stiffness matrix load vector and assembly of global equations
Springs, finite element formulation of stiffness matrix load vector and assembly of global equations
Springs, finite element formulation of stiffness matrix load vector and assembly of global equations
Stiffness matrix and finite element equation for a two node Truss element
Stiffness matrix and finite element equation for a two node Truss element
Temperature effects – example problems
Beams element- example problems
UNIT 3:
2-D element under plane stress and plane strain condition
Shape function for the Constant Strain Triangular element using natural coordinates and generalized coordinates
Strain displacement matrix of CST element- -Problem
2-D element under plane stress and plane strain condition
UNIT 4:
Basic equations of heat transfer
Shape function of 1-D heat conduction
Stiffness matrix for 1-D heat conduction with free end convection, with internal heat generation
Finite element formulation - Example problems
Finite element formulation - Example problems
Assembly of global equations and load vector
UNIT 5:
Natural co-ordinate systems
shape functions for a 2-D four noded and eight noded Isoparametric rectangular element using natural coordinate system
Serendipity elements -Numerical integration
Gaussian Quadrature – Example Problems
Gaussian Quadrature – Example Problems
Gaussian Quadrature – Example Problems