CBCS Scheme 15CV664
Model Question paper
Sixth Semester B.E. Degree Examination, May-June 2018
Finite Element Method Of Analysis
Time 3hrs Max Marks 80
Module 1
1.
Explain the terms plain stress and plain strain. Also give constitutive laws for these
cases. marks).
Mention the advantages and disadvantages of finite element method.(8 marks).
OR
2.
Mention the steps involved in Rayleigh Ritz method for determining deflection of a
beam.(8 marks).
Determine the deflection of a cantilever beam of length and loaded with a vertical
load the free end by Rayleigh Ritz method. Use a trial function(8 marks).
y −


2


Module 2
3.
What are convergence and compability requirements of a good displacement model?
marks).
Define shape functions. Mention their properties?(8 marks).
OR
4.
Explain the following?
I. Local co-ordinates.
II. Global co-ordinates.
III. Natural co-ordinates.(8 marks).
Derive the shape function for a 3 noded bar element in terms of natural coordinates.
Plot the variation of shape function?(8 marks).
5.
Define Isoparametric, sub parametric
briefly? marks).
Determine Cartesian coordinate for the point P
6.
Derive the Jacobian matrix for a linear
7.
Determine the nodal displacements for the truss shown in fig?
Module 3
parametric, and super parametric elements.
½ 0.6) shown in Fig
marks).
OR
quadrilateral element.(16 marks).
Module 4
fig?(16 marks).
Explain any one

8.
Determine the nodal displacements at the joints for the
Take 200GPa, 4x10
9.
Write short notes on:
I. Softwares used in finite element analysis.
II. Hermition polynomials.
Explain the terms material non linearity and geometrical non linearity.
10.
Briefly explain the stiffness matrix formulation of MINDLIN'S plate element.
(16 marks).
OR
beam shown
4x106 mm4.(16 marks).
Module 5
marks).
OR
in Fig?
marks).