UNIT 1:
Point domain and Sub domain collocation method problems
Introduction to weighted residual methods and formulas
The least square and Galerkin method problems
Discrete and continuous models - boundary, initial and eigen value problems
Discrete and continuous models- boundary, initial and eigen value problems
Rayleigh Ritz method problems
Rayleigh Ritz method problems
Basic concepts of the finite element method
UNIT 2:
Problems on heat transfer
Problems on solid mechanics 2
Problems on solid mechanics
Derivation of stiffness matrices and force vectors and problems
Derivation of shape function for 1d bar element
One dimensional second order equations, discretization – element types
Problems on heat transfer and derivation of stiffness matrix for one dimensional heat conduction element
Longitudinal vibration frequencies and mode shapes
UNIT 3:
Introduction to two dimensional scalar problems /derivation of shape function for CST element
Strain displacement matrix for CST element
Derivation for stress -strain displacement matrix for CST element
Derivation for stiffness matrix for CST element
Problem on stiffness matrix for CST element
Problem on stiffness matrix for CST element 1
Heat transfer problems in CST elements
Torsion of non circular shafts
Quadrilateral and higher order elements
UNIT 4:
Problems on plane stress and strain displacement matrix for Axi-symmetric element
Elemental stiffness matrix (k) for axis symmetric element
Temperature effects and stress calculations problems
Introduction to plate and shell elements
Plate and shell elements problems
UNIT 5:
Introduction to Iso-parametric elements, concept of sub-parametric and super Iso-parametric element
Derivation for Shape functions for Iso parametric elements
Iso parametric elements problems
Iso parametric elements problems
Numerical integration and application to plane stress problems
Gaussian Quadrature problems
Solution Techniques to dynamic problems
Introduction to Analysis Software
