UNIVERSITY OF KERALA - College of Engineering, Trivandrum

08.806.5 Elective IV FINITE ELEMENTMETHODS
L T P/D Cr
3 0 0 3
Module I
Review of Matrix Structural Analysis (Direct Stiffness Method) –Element stiffness equations – Assembly of
elements – Node numbering to exploit matrix sparsity – Displacement boundary conditions.
Basics of Elasticity – Strain Displacement relations – Constitutive relations. Introduction to FEM – outline of
procedure – Displacement Models & Polynomial interpolations – Equilibrium and compatibility in the solution -
Convergence requirements.
Potential energy of an elastic body - Principle of stationary potential energy – the Rayleigh – Ritz method –
piecewise polynomial field – finite element form of Rayleigh-Ritz method - Weighted residual methods -shape
functions for C0 and C1 elements –Lagrangian and Hermitian interpolation functions for one and two
dimensional elements.
Module II
Displacement-based Elements for Structural Mechanics:- Formulas for element stiffness matrix and load vector
– overview of element stiffness matrices – Consistent element nodal load vector - Lumped loads-Patch test - -
Stress computation
Developments of shape functions for truss, beam and frame elements- Constant strain triangle -Linear strain
triangle -Bilinear plane rectangular elements.
Module III
Isoparametric formulation - Line element- Plane bilinear element- Isoparametric formulation of Quadratic plane
elements - Subparametric elements and superparametric elements - Gauss quadrature
Plate and shell elements. (Description only).
Solution Techniques for Linear Algebraic Equations – Storage schemes.
Discussion of Finite Element programs using ANSYS or NISA.
References:
1. Cook, R.D., ‘Concepts and Applications of Finite Element Analysis’, JohnWiley.
2. .Krishnamoorthy, C.S., ‘Finite Element Analysis – Theory and Programming’, Tata Mc Graw Hill.
3. Rajasekaran, S., ‘Finite Element Analysis in Engineering Design’, Wheeler Pub.
4. .Bathe, K.J., ‘Finite Element Procedures in Engineering Analysis’, Prentice Hall of India
5. Zienkiewicz, O.C., and Taylor, R.L., ‘The Finite Element Method’, Vol. I and II, Mc Graw Hill.
6. .Desai, C.S., ‘Elementary Finite Element Method’, Prentice Hall of India.
7. .Madhujit Mukhodhay., ‘Matrix & Finite Element Analysis of Structures’, Ane Books.
Question paper:Duration: 3 hours
The question paper consists of Part A and Part B.
Part A is for 40 marks. There will be 8 compulsory short answer questions covering entire syllabus.
Part B is for 60 marks. There will two questions from each module. The candidate has to answer one question
of 20 marks from each module.
Note: No charts, tables, codes are permitted in the Examination hall .If necessary relevant data shall be given
along with the question paper by the question paper setter.
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