FINITE ELEMENT METHODS (A60330)
UNIT-I:
Introduction
to Finite Element
Method for
solving field problems.
Stress and
Equilibrium.
Boundary
conditions.
Strain -
Displacement relations.
Stress -
strain relations for 2-D and 3-0
Elastic
problems.
One
Dimensional Problems:
Finite
element modeling coordinates and shape functions.
Assembly of
Global stiffness matrix and load vector.
Finite
element equations,
Treatment of
boundary conditions,
Quadratic
shape functions.
UNIT-II:
Analysis of
Trusses:
Stiffness
Matrix for Plane Truss Elements,
Stress
Calculations and problems.
Analysis of
Beams:
Element
stiffness matrix for two noded, two degrees of freedom per node beam element
and simple problems.
UNIT-III:
Finite
element modeling of two dimensional stress analysis with constant strain
triangles and treatment of boundary conditions.
Estimation
of Load Vector, Stresses.
Finite
element modeling of Axi-symmetric solids subjected to Axi-symmetric loading
with triangular elements.
Two
dimensional four noded lsoparametric elements and problems.
UNIT-IV:
Steady State
Heat Transfer Analysis:
One
dimensional analysis of Slab, fin and
Two
dimensional analysis of thin plate.
Analysis of
a uniform shaft subjected to torsion.
UNIT-V:
Dynamic
Analysis:
Formulation
of finite element model, element –
Mass
matrices, evaluation of Eigen values and Eigen vectors for a stepped bar,
truss.
Finite
element - formulation to 3 D problems in stress analysis,
Convergence
requirements,
Mesh
generation, techniques such as semi automatic and fully Automatic use of
software such as ANSYS, NISA, NASTRAN, etc.