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Subject Details

Dept : MECH

Sem : 6

Regul : R2019

Faculty : Mr.P.Janagarathinam

phone : NIL

E-mail : janagan.p.mech@snsct.org

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Lecture Notes

UNIT 1:

Historical Background

Weighted residual techniques

Rayleigh Ritz method

Mathematical Modeling of field problems in Engineering

FEA General procedure –Discretization of the domain, advantages, limitations and applications of FEA

Weighted residual techniques

UNIT 2:

1 –D bar element

Shape function using natural coordinates and generalized coordinates

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

Temperature effects – example problems

Beams element- example problems

UNIT 3:

Finite element modeling

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

axisymmetric element

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

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

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