Rajiv Gandhi Proudyogiki Vishwavidyalaya 2010 B.E Automobile Engineering Computer aided engineering and fem (au-705) - Question Paper

AU -705(N)
B.E (Seventh Semester) EXAMINATION, Dec,2010
(Automobile Engg. Branch)
COMPUTER AIDED ENGINEERING AND FEM
Time : three Hrs
Max : 100 Marks
Min: 35 marks

Note : Attempt any 5 ques..All ques. carry equal marks.Draw neat sketches where necessary.
1 (a) discuss the difference ranging from finite element analysis and conventional analysis . List the benefit of FEA.
(b) Derive the formula of motion for dynamic analysis Mx + Kx = 0
Where M = mass matrix
x =acceleration matrix
K = stiffness matrix
x = displacement matrix 20

2 (a) discuss the subsequent terms :
I. skeletal structures
II. Continuum structures

(b) What does the term boundary condition mean and discuss any 1 method for its application in structural engineering?
3 describe shape function for 2- D triangular and rectaugular elements . 20
4 For the triangular element shown in fig. one find the strain – displacement matrix B. 20
5 (a) discuss the need of global co-ordinate system. 10
(b) discuss the subsequent computer storage scheme of matrix : 10
(i)Banded matrix
(ii)Skyline matrix
6 discuss the usen of quadratic and cubic elements in analysis of iso – parameteric element . 10
(b) discuss the use of natural or intrinsic co-ordinate system. 10
7 Consider the 4 bar truss shown in fig. 2. Determine: 20
(a ) Stiffness matrix for all element
(b) Assembled stiffness matrix for entire truss.
8 Write short note on any 4 of the subsequent : five every
(a) Hamilton's principle
(b) Mass matrix
(c) Software packages for FEM
(d) Gaussian elimination
(e) Advantage of FEM
(f) Mode shapes

Earning:   Approval pending.