**Finite Element Analysis** Notes – ME2353 FEA Lecture Notes, Subject Notes for Mechanical 6th Semester

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**FINITE ELEMENT ANALYSIS NOTES ANNA UNIVERSITY – ME2353 FEA NOTES**

Subjects :**Finite Element Analysis**** (FEA)**

Subject Code :** ME2353
**

Department : ** Mechanical
**

Semester :** 6th Sem
**

University : **Anna University, Chennai**

**ME2353 Finite Element Analysis Anna University Notes download**

**Content in ME2353 Notes :**

**ME2353 FINITE ELEMENT ANALYSIS**

**
INTRODUCTION (Not for examination)
**Solution to engineering problems – mathematical modeling – discrete and continuum

modeling – need for numerical methods of solution – relevance and scope of finite

element methods – engineering applications of FEA

**UNIT I FINITE ELEMENT FORMULATION OF BOUNDARY VALUE PROBLEMS**

Weighted residual methods –general weighted residual statement – weak formulation of

the weighted residual statement –comparisons – piecewise continuous trial functionsexample

of a bar finite element –functional and differential forms – principle of stationary

total potential – Rayleigh Ritz method – piecewise continuous trial functions – finite

element method – application to bar element

** UNIT II ONE DIMENSIONAL FINITE ELEMENT ANALYSIS**

General form of total potential for 1-D applications – generic form of finite element

equations – linear bar element – quadratic element –nodal approximation – development

of shape functions – element matrices and vectors – example problems – extension to

plane truss– development of element equations – assembly – element connectivity –

global equations – solution methods –beam element – nodal approximation – shape

functions – element matrices and vectors – assembly – solution – example problems

** UNIT III TWO DIMENSIONAL FINITE ELEMENT ANALYSIS**

Introduction – approximation of geometry and field variable – 3 noded triangular

elements – four noded rectangular elements – higher order elements – generalized

coordinates approach to nodal approximations – difficulties – natural coordinates and

coordinate transformations – triangular and quadrilateral elements – iso-parametric

elements – structural mechanics applications in 2-dimensions – elasticity equations –

stress strain relations – plane problems of elasticity – element equations – assembly –

need for quadrature formule – transformations to natural coordinates – Gaussian

quadrature – example problems in plane stress, plane strain and axisymmetric

applications

**
UNIT IV DYNAMIC ANALYSIS USING FINITE ELEMENT METHOD
**Introduction – vibrational problems – equations of motion based on weak form –

longitudinal vibration of bars – transverse vibration of beams – consistent mass matrices

– element equations –solution of eigenvalue problems – vector iteration methods –

normal modes – transient vibrations – modeling of damping – mode superposition

technique – direct integration methods

UNIT V APPLICATIONS IN HEAT TRANSFER & FLUID MECHANICS

One dimensional heat transfer element – application to one-dimensional heat transfer

problems- scalar variable problems in 2-Dimensions – Applications to heat transfer in 2-

Dimension – Application to problems in fluid mechanics in 2-D

TEXT BOOK:

1. P.Seshu, “Text Book of Finite Element Analysis”, Prentice-Hall of India Pvt. Ltd. New

Delhi, 2007. ISBN-978-203-2315-5

**REFERENCE BOOKS:
**1. J.N.Reddy, “An Introduction to the Finite Element Method”, McGraw-Hill International

Editions(Engineering Mechanics Series), 1993. ISBN-0-07-051355-4

2. Chandrupatla & Belagundu, “Introduction to Finite Elements in Engineering”, 3rd

Edition, Prentice-Hall of India, Eastern Economy Editions. ISBN-978-81-203-2106-9

3. David V.Hutton,”Fundamentals of Finite Element Analysis”, Tata McGraw-Hill Edition

2005. ISBN-0-07-239536-2

4. Cook,Robert.D., Plesha,Michael.E & Witt,Robert.J. “Concepts and Applications of

Finite Element Analysis”,Wiley Student Edition, 2004. ISBN-10 81-265-1336-5

**Anna University Finite Element Analysis Notes. download Anna university ME2353 FEA Lecture Notes , Subject Notes , Unit Wise Notes common for Mech 6th Semester by Clicking on the above link. **

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