# ME6603 Finite Element Analysis | Important Questions | Question bank | Syllabus | Model and Previous Question papers | Download PDF

## ME6603 Finite Element Analysis

Subject Informations :

University        :  Anna University
Department     :  B.E. MECHANICAL ENGINEERING
Semester          :  06 th sem
Year                  :  03 rd year
Regulation       :  R2013
Subject Code   :  ME6603
Subject Name  :  Finite Element Analysis

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ME6603 Finite Element Analysis | Important  Questions

### ME6603 FINITE ELEMENT ANALYSIS  – SYLLABUS – R- 2013

OBJECTIVES :

 To introduce the concepts of Mathematical Modeling of Engineering Problems.  To appreciate the use of FEM to a range of Engineering Problems.

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 – RitzTechnique – 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 and heat transfer. Longitudinal vibration
frequencies and mode shapes. Fourth Order Beam Equation –Transverse deflections and 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 – Shape functions and element matrices and vectors.
Application to Field Problems – Thermal problems – Torsion of Non circular shafts –Quadrilateral
elements – Higher Order Elements.

UNIT IV TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS

Equations of elasticity – Plane stress, plane strain and axisymmetric problems – Body forces and
temperature effects – Stress calculations – Plate and shell elements.

UNIT V ISOPARAMETRIC FORMULATION

Natural co-ordinate systems – Isoparametric elements – Shape functions for iso parametric elements – One and two dimensions – Serendipity elements – Numerical integration and application to plane
stress problems – Matrix solution techniques – Solutions Techniques to Dynamic problems –
Introduction to Analysis Software.

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