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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

FIRST SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 8
Branch: Mechanical Engineering
Stream(s): Machine Design ‏۔‎
‎Course Code & Name: 01ME6103- Finite Element method

Answer any nvofull questions from each part

Limit answers to the required points.

Max. Marks: 60 Duration: 3 hours
PART A
1. Derive the stiffness matrix of a truss element. (9)
2. a. Explain the importance of patch test.
b. Explain the various types of refinement methods.
3. For a 2 bar Wuss shown in figure, determine displacement of node 1 and
stress (9) in element 1 to 3.
E=70 GPa
A= 200 mm?
‏ہے‎ 3
PART B
4. Derive the stress strain relationship matrix for CST element. (9)
5. Derive the shape function of an LSI" element.
6. Using Galerkin's method to formulate a finite element for solving the (9)

d differential equation — (x -
4x=0 subject to y(1)=y(2)=0. dx d