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Posted By: prashanth beerelli Member Level: Diamond Posted Date: 04 Sep 2008
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2006 Jawaharlal Nehru Technological University Mechatronics III B.Tech I Semester Regular Examinations, November 2006 FINITE ELEMENT METHOD Question paper
Code No: RR311403 Set No. 4
III B.Tech I Semester Regular Examinations, November 2006
FINITE ELEMENT METHOD
(Mechatronics)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Derive the various equations for static equilibrium of an elastic body. [16]
2. An elastic bar is having a uniform cross sectional of area ‘A’ mm2 and length ‘L’
mm. It is fixed at one end and other end is allowed to move along the axis of the
elastic bar. A force ‘F’ KN is acting at the free end and the Youngs Modulus is ‘E’
N/mm2. Calculate the displacement at the free end. [16]
3. Estimate the displacement vector, stresses and reactions for the truss structure
Area is not given and assumed as A(e) = 1mm2 ‘E’ is not given. Assumed
as E=2×105 N/mm2 [16]
4. Define and derive the Hermite shape functions for a two nodded beam element?
[16]
5. Calculate the nodal forces of the four node axisymmetric finite element shown in
figure5 when the element is subjected to centrifugal loading.
6. Derive the element conductivity matrix and load vector for solving 1-D heat con-
duction problems, if one of the surfaces is exposed to a heat transfer coefficient of
h and ambient temperature of T1? [16]
7. Consider the axial vibrations of a steel bar shown in the figure7:
(a) Develop global stiffness and mass matrices,
(b) Determine the natural frequencies?
8. (a) Sketch any three 3-D structural element showing their degrees of freedoms.
(b) Derive the shape function of any one of the 3-D structural element
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