UNIT - I
Introduction to Finite Element Method for solving field problems. Stress and Equilibrium. Boundary conditions. Strain - Displacement relations. Stress - strain relations.
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. (Chapters - 1, 2)
UNIT - II
Analysis of Trusses : Stiffness Matrix for Plane Truss and Space Truss Elements, Stress Calculations.
Analysis of Beams : Element stiffness matrix for two node, two degrees of freedom per node beam element, Load Vector, Deflection, Stresses. (Chapters - 3, 4)
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 Isoparametric elements and numerical integration. (Chapters - 5, 6 and 7)
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. (Chapter - 8)
UNIT - V
Dynamic Analysis : Formulation of finite element model, element - Mass matrices, evaluation of Eigen values and Eigen vectors for a stepped bar, truss and beam. Finite element - formulation to 3 D problems in stress analysis, convergence requirements,Mesh generation. techniques such as semi automatic and fully Automatic use of softwares such as ANSYS, NISA, NASTRAN, etc. (Chapters - 9, 10)