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Sathyabama Institute of Science and Technology B.E. - Mechatronics Engineering SMEA1503 Finite Element Analysis Syllabus

SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF MECHANICAL ENGINEERING

SMEA1503 FINITE ELEMENT ANALYSIS
L T P Credits Total Marks
3 * 0 3 100

UNIT 1 INTRODUCTION 9 Hrs.
Historical Background– Basic Concepts of FEM – Mathematical Modeling of field problems in Engineering – Governing
Equations – Discrete and continuous models – Boundary, Initial and Eigen Value problems–Residual Methods- Variational
Formulation of Boundary Value Problems – Ritz Method.

UNIT 2 ONE-DIMENSIONAL PROBLEMS 9 Hrs.
One Dimensional Second Order Equations – Discretization – Element types- Linear and Higher order Elements – Derivation
of Shape functions and Stiffness matrices and force vectors- Assembly of Matrices- Solution of problems from solid
mechanics and heat transfer-Bar, Beam Elements – Applications to Heat Transfer.

UNIT 3 TWO DIMENSIONAL PROBLEMS 9 Hrs.
Basic Boundary Value Problems in Two Dimentions – Triangular, quadrilateral, higher order elements – Triangular elements
– Shape functions and element matrices and vectors. Application to Field Problems - Thermal problems – Torsion of Non
circular shafts –Quadrilateral elements – Higher Order Elements.

UNIT 4 SOLUTION TO PLANE ELASTICITY PROBLEMS 9 Hrs.
Introduction to Theory of Elasticity – Plane Stress – Plane Strain and Axisymmetric Formulation – Body forces and
temperature effects – Stress calculations - Plate and shell elements.

UNIT 5 ISO PARAMETRIC FORMULATION 9 Hrs.
Natural Co-ordinate System – Lagrangian Interpolation Polynomials – Iso-parametric Elements – Formulation –Numerical
Intergration – 1D -2D Triangular elements – rectangular elements – Introduction to Analysis Software-– h & p elements-
Errors and Types.
Max. 45 Hrs.

COURSE OUTCOMES
On completion of the course, student will be able to
CO1 - To understand the basics of matrix manipulations required for Finite Element Analysis.
CO2 - Apply finite element formulations to solve one dimensional Problems.
CO3 - Apply finite element formulations to solve two dimensional scalar Problems.
CO4 - Apply finite element method to solve two dimensional Vector problems.
CO5 - Apply finite element method to solve problems on iso parametric element.
CO6 - Appreciate the importance of ethical issues pertaining to the effective utilization of FEA in Mechanical engineering.

TEXT / REFERENCE BOOKS
1. Reddy. J.N., “An Introduction to the Finite Element Method”, 3rd Edition, Tata McGraw-Hill, 2010.
2. Seshu, P, “Text Book of Finite Element Analysis”, Prentice-Hall of India Pvt. Ltd., New Delhi, 2007.
3. Chandrupatla & Belagundu, “Introduction to Finite Elements in Engineering”, 4th Edition, Prentice Hall College Div, 1997.
4. Rao, S.S., “The Finite Element Method in Engineering”, 4th Edition, Butterworth Heinemann, 2005.
5. Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt, “Concepts and Applications of Finite Element
Analysis”, 4th Edition, Wiley Student Edition, 2002.

END SEMESTER EXAMINATION QUESTION PAPER PATTERN
Max. Marks: 100 Exam Duration: 3 Hrs.
PART A: 10 Questions of 2 marks each - No choice 20 Marks
PART B: 2 Questions from each unit of internal choice; each carrying 16 marks 80 Marks