Pages (2)

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 2017

Mechanical Engineering

Machine Design

01ME6103, FINITE ELEMENT METHOD
Time: 3 Hours Max. Marks: 60

Instructions: Answer any two questions from each part

PART A
1.
a. How is patch test done in FEM? 2
b. What are the properties of Shape function? 2
c. Derive the stiffness matrix of a beam element 5
2.

a. Prove that the relation between global stiffness matrix and local stiffness matrix is

given by LK] prose = [7 F [8 ‏تأسما‎ ] where [7] is the transformation matrix. 3

b. Determine the shape functions for the bar element with end nodes and mid length

node shown in Figure. Let the variation of axial displacement inside the element is
o_O OO

2 3 2
4, 22. 3
1120 =
ay
c. Discuss the different types of refinement in FEM. 3

3. Consider the bar shown in figure. Determine the nodal displacements, element stresses, and

support reactions. 9

300 mm? 400 mm?

‎x 103 N/mm2‏ 123 دع
‎kN = IOOON)‏ 1(

‎PART B