(Pages 2)
Reg. No: ಅಳ! Slot C Name അഅത്ത്ത്തത്ത്ത്ത്തത്തത്ഞ്ത്തു

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
First Semester M.Tech Degree Examination, December 2015
Department: Mechanical Engineering

Specialization: Machine Design

011186103: FINITE ELEMENT METHODS

Time: 3 Hours Max. Marks: 60
Instructions: Answer any two questions from each part
Part A
1. a) Discuss h, p and r methods of refinement. (4 Marks)
b) Derive the stiffness matrix for a beam element (5 Marks)
2. a) Prove that [k]global = > [khocal where X is the transformation matrix (4 Marks)
b) Discuss the solution techniques of FE equilibrium equations. (5 Marks)

3. a) Determine the shape functions of four-noded two dimensional element
(5 Marks)

b) Using a 2 element discretization, find the displacements, strains and stresses in
arod suspended vertically, and subjected to self weight alone. (4 Marks)

Part B

4. a) What are the considerations for selection of interpolation functions? (5 Marks)

b) Explain about Reduced integration technique and Selective integration technique.
(4 Marks)

5. a) For a linear triangular element shown, evaluate the Jacobean for (x-y) to (€)
transformation. Also obtain the strain displacement matrix 1B] and determine. The
displacement 0 - (0.001,-0.004, )-003,0.002,-0.002,0.005) | (5 Marks)

>. (2,7)

(8,4
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