ME6603 Finite Element Analysis important questions bank

The following post covers the repeated 2 marks and 16 questions asked from Anna University. The following questions are much important for Finite element Analysis. 

ANNA UNIVERSITY-CHENNAI

REGULATION 2013

DEPARTMENT OF MECHANICAL ENGINEERING

                                  SUBJECT CODE- ME 6603
               SUBJECT NAME-FINITE ELEMENT ANALYSIS

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 – Basicconcepts of the Finite Element Method.

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PART-A (2 Marks)

1.What is meant by finite element analysis?

2.What is the need for FEA?

3.List out any four advantages of using FEA.

4.Name any four applications of FEA.

5.What is meant by ‘discretization’?

6.List out the various weighted-residual methods

7.Briefly explain Gaussian elimination method.

8.Define the concept of potential energy.

9.Why polynomial type interpolation functions are preferred over trigonometric functions?

10.What is the concept of matrix algebra and in what way it is used in FEA?

11.What is Rayleigh Ritz method?

12.What is meant by degree of freedom?

13.What are the methods are generally associated with FEA?

14.State three phases of FEA?

15.What do you mean by node and element?

16.Name any four FEA's softwares.

PART-B (16 Marks)

1. A simply supported beam is subjected to uniformly distributed load over entire span. Determine the bending moment and deflection at the mid span using Rayleigh-Ritz method and compare with exact solution. Use a two term trial function y= a1sin(πx/l)+ a2sin(3πx/l)

2. A simply supported beam is subjected to uniformly distributed load over entire span and it is subjected to a point load at the centre of the span. Calculate the bending moment and deflection at the mid span using Rayleigh-Ritz method and compare with exact solution.

3.Write short notes on (i) Gaussian elimination (ii) Galerkin’s method.

4.Find the maximum deflection and maximum bending moment using Rayleigh-Ritz method using the function y=a{1-Cos (πx/2L)}.Given EI is constant.

5.The following differential equation is available for a physical

phenomenon. d2

y/dx2 + 50 = 0, 0<x<10

The trial function is, y=ax(10-x)

The boundary conditions are y(0)=0 and y(10)=0

Find the value of the parameter ‘a’ by 

(i) Point collocation method 

(ii)Sub-domain collocation method 

(iii) Least squares method 

(iv) Galerkin’s method 

6.Explain the process of discretization in detail. A cantilever beam of length ‘L’ is loaded with a point load at the free end.

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