Finite Element Analysis is from Anna University conducting B.E Mechanical Engineering Sandwich containing semester VI examination subject. In this article, we are glad to provide the syllabus of Finite Element Analysis.

We aim to provide the unit-wise syllabus for the students to get help with their preparation for the examination. With the assistance of the syllabus, you can able to learn before everyone else. You will get a good grip on the syllabus to make your preparation strategies. We also add appropriate textbooks and references from the expert faculty regarding the subject code CPR332 – Finite Element Analysis Syllabus. Hope this information is useful. Kindly share it with your classmates if you like it.

If you want to know more about the B.E Mechanical Engineering Sandwich syllabus connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.E Mechanical Engineering Sandwich Syllabus Regulation 2021 Anna University.

**Aim Of Objectives:**

The main learning objective of this course is to prepare the students for:

- Developing mathematical models for Boundary Value Problems and their numerical solution.
- Applying concepts of Finite Element Analysis to solve one dimensional problem.
- Determining field variables for two-dimensional scalar variable problems.
- Determining field variables for two-dimensional vector variable problems.
- Applying the need for Isoparametric transformation and the use of numerical integration.

**CPR332 – Finite Element Analysis Syllabus**

**Unit – I:** Introduction

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

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:** Two-Dimensional Scalar Variable Problems

Second Order 2D Equations involving Scalar Variable Functions – Variational formulation –Finite Element formulation – Triangular elements and Quadrilateral elements- Shape functions and element matrices and vectors. Application to Field Problems – Thermal problems – Torsion of Non-circular shafts.

**Unit – IV:** Two-Dimensional Vector Variable Problems

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

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.

**Text Books:**

- Rao, S.S., “The Finite Element Method in Engineering”, 6th Edition, Butterworth Heinemann, 2018.
- Reddy, J.N. “Introduction to the Finite Element Method”, 4th edition, Tata McGraw-Hill, 2018.

**References:**

- David Hutton, “Fundamentals of Finite Element Analysis”, Tata McGraw-Hill, 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.

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