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Introduction, different approaches in FEM, direct stiffness approach; simple examples; variational approach, elements of variational calculus, Euler-Lagranage equation; Rayleigh-Ritz method, weighted residual methods; point collocation method; sub-domain collocation method
Types of elements used - interpolation polynomials - linear elements - shape function- analysis of simply supported beam - element and global matrices - two dimensional elements; triangular and rectangular elements
Finite element formulation of field problems - classification of partial differential equations; quasi-harmonic equation - steady state problems - Eigen value problems - propagation problems - examples; torsional problem
Finite element formulation of solid mechanics problems - axial force member - element matrices for axial force members - truss element - analysis of pinned truss - two dimensional elasticity problems
Numerical methods in FEM and computer implementation - evaluation of shape functions; one dimensional and triangular elements; quadrilateral elements; iso parametric elements - numerical integration; guass-legendre
Segerlind, L.J., “Applied Finite Element Analysis”, John Wiley, 1984
