Introduction:
Equations of equilibrium, stress-strain relations for 2-D and 3-D, Potential energy and equilibrium, Boundaryconditions, Von Misses Stresses
FEM for 1-D Problems:
General procedure for FEA, Raleigh Ritz method, Galerkin Approach, shape functions, stiffness matrix, loadvectors, temperature effects, Applications of boundary conditions using elimination and penalty approaches,
FEM for 1 D and 2-D Problems:
Application problems – 1-D bar element. Trusses and beams, Shape functions ( 2D element), stiffness matrix, strain matrix, load vectors for CST Elements and application problems
FEM for Axisymmetric Problems:
Axisymmetric formulation, triangular elements, PE approach, Body force term, applicationproblems
FEM for Scalar Field Problems:
1-D Steady state heat transfer, torsion, potential flow and fluid flow in ducts andapplicationproblems
Dynamic Analysis:
Equations of motion for dynamic problems --consistent and lumped mass matrices –formulation of element mass matrices free vibration and forced vibration problems formulation.