## March 13, 2010

### MH1003 FINITE ELEMENT ANALYSIS SYLLABUS B.E. MECHANICAL ENGINEERING

ANNA UNIVERSITY CHENNAI:: CHENNAI 600 025
CURRICULUM 2004
B.E. MECHANICAL ENGINEERING
SEMESTER – VII
MH1003 FINITE ELEMENT ANALYSIS
(Common to Mechanical, Automobile, Mechatronics (Elective) and Metallurgical Engineering (Elective))

OBJECTIVES
•To understand the principles involved in discretization and finite element approach
•To learn to form stiffness matrices and force vectors for simple elements

1.INTRODUCTION9
Historical background – Matrix approach – Application to the continuum – Discretisation – Matrix algebra – Gaussian elimination – Governing equations for continuum – Classical Techniques in FEM – Weighted residual method – Ritz method

2. ONE DIMENSIONAL PROBLEMS9
Finite element modeling – Coordinates and shape functions- Potential energy approach – Galarkin approach – Assembly of stiffness matrix and load vector – Finite element equations – Quadratic shape functions – Applications to plane trusses

3.TWO DIMENSIONAL CONTINUUM 9
Introduction – Finite element modelling – Scalar valued problem – Poisson equation –Laplace equation – Triangular elements – Element stiffness matrix – Force vector – Galarkin approach - Stress calculation – Temperature effects

4. AXISYMMETRIC CONTINUUM 9
Axisymmetric formulation – Element stiffness matrix and force vector – Galarkin approach – Body forces and temperature effects – Stress calculations – Boundary conditions – Applications to cylinders under internal or external pressures – Rotating discs

5. ISOPARAMETRIC ELEMENTS FOR TWO DIMENSIONAL CONTINUUM 9
The four node quadrilateral – Shape functions – Element stiffness matrix and force vector – Numerical integration - Stiffness integration – Stress calculations – Four node quadrilateral for axisymmetric problems.

TUTORIAL15

TOTAL : 45
TEXT BOOKS
Chandrupatla T.R., and Belegundu A.D., “Introduction to Finite Elements in Engineering”, Pearson Education 2002, 3rd Edition.
David V Hutton “Fundamentals of Finite Element Analysis”2004. McGraw-Hill Int. Ed.

REFERENCES
1.Rao S.S., “The Finite Element Method in Engineering”, Pergammon Press, 1989
Logan D.L., “A First course in the Finite Element Method”, Third Edition, Thomson Learning, 2002.
Robert D.Cook., David.S, Malkucs Michael E Plesha, “Concepts and Applications of Finite Element Analysis” 4 Ed. Wiley, 2003.
Reddy J.N., “An Introduction to Finite Element Method”, McGraw-Hill International Student Edition, 1985
O.C.Zienkiewicz and R.L.Taylor, “The Finite Element Methods, Vol.1”, “The basic formulation and linear problems, Vol.1”, Butterworth Heineman, 5th Edition, 2000.