Finite Element Analysis detailed syllabus for Mechanical & Automation Engineering (MAE) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the MAE students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Mechanical & Automation Engineering 6th Sem scheme and its subjects, do visit MAE 6th Sem 2021 regulation scheme. For Professional Elective-VI scheme and its subjects refer to MAE Professional Elective-VI syllabus scheme. The detailed syllabus of finite element analysis is as follows.
Course Objectives:
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Unit I
INTRODUCTION 9
Historical Background – Mathematical Modeling of field problems in Engineering -Governing Equations -Discrete and continuous models – Boundary, Initial and Eigen Value problems- Weighted Residual Methods – Variational Formulation of Boundary Value Problems – Ritz Technique – Basic concepts of the Finite Element Method.
Unit II
ONE-DIMENSIONAL PROBLEMS 9
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 including thermal stresses-heat transfer. Natural frequencies of longitudinal vibration and mode shapes. Fourth Order Beam Equation -Transverse deflections and Transverse Natural frequencies of beams.
Unit III
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Unit IV
TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS 9
Equations of elasticity – Plane stress, plane strain and axisymmetric problems – Constitutive matrices and Strain displacement matrices – Stiffness matrix – Stress calculations – Plate and shell elements.
Unit V
ISOPARAMETRIC FORMULATION AND ADVANCED TOPICS 9
Natural co-ordinate systems – Isoparametric elements – Shape functions for isoparametric elements – One and two dimensions – Serendipity elements – Numerical integration – Matrix solution techniques – Solutions Techniques to Dynamic problems – Introduction to Analysis Software- Introduction to Non Linearity.
Course Outcomes:
Upon completion of this course, the students will be able to:
- Develop mathematical models for Boundary Value Problems and their numerical solution
- Apply concepts of Finite Element Analysis to solve one dimensional problems
- Determine field variables for two dimensional scalar variable problems
- Determine field variables for two dimensional vector variable problems
- Apply the need for Isoparametric transformation and the use of numerical integration
Text Books:
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Reference Books:
- David Hutton, “Fundamentals of Finite Element Analysis”, Tata McGrawHill, 2005
- Dhanaraj. R and Prabhakaran Nair. K, “Finite Element Analysis”, Oxford Publications, 2015.
- Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt, “Concepts and Applications of Finite Element Analysis”, 4th Edition, Wiley Student Edition, 2004.
- Seshu.P, “Text Book of Finite Element Analysis”, PHI Learning Pvt. Ltd., NewDelhi, 2012.
- Tirupathi R. Chandrupatla and Ashok D. Belegundu, “Introduction to Finite Elements in Engineering”, International Edition, Pearson Education Limited, 2014.
For detailed syllabus of all the other subjects of Mechanical & Automation Engineering 6th Sem, visit MAE 6th Sem subject syllabuses for 2021 regulation.
For all Mechanical & Automation Engineering results, visit Anna University MAE all semester results direct link.