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Thapar University 2006 M.Tech Computer Science Finite Elements In Engineering Analysis - Question Paper

Friday, 19 April 2013 10:25Web


Thapar Institute of Engineering & Technology
M.E. CSE (2nd Year)
Final Term exam
ST001 (Finite Elements In Engineering Analysis)

Max.Marks:45

vy *

ST 001 Finite F, le men I in F.nuinccrin<> Analysis


End Semester Examination 2006

Time: 3 Hr.

Analyse the rigid frame shown below using stiffness transformation matrix method and draw bending moment diagram.


Note : Attempt all Questions. All questions carries equal marks. Assume missing data if an\ suitably.

The following data is given for numerical integration

No. of sampling points

Points

Weights

1

0

2

*>

0.57735

1

3

0.77459 1 0.555

0 i 0.888

Q.No.l

40 kN m

150 kN


5 m. 21

2 in


? m

21


D


hrrr

Obtain the horizontal and vertical deflection for the truss shown below h> representing in to one-dimensional bar element. Consider the area of all member* of the truss to be same and equal to A and modulus of elasticity I: to be constant.

Q.No.2


Obtain the coefficient of stiffness matrix for 3 noded isoparametric bar element. Take AE of the element as constant. Use numerical integration.

Q.No.3

Q.No.4

Q.No.5


Develop shape function for quadratic rectangular element of i) lagrang family and ii) Serendipity family.

A concentrated load whose x and y components are 10 kN and 16 kN is acting at point (4.5) in a four noded 2 I) iso parametric element. The coordinates of nodal points are (0.0). (6.2). (6.6) and (1.5). Calculate the equivalent nodal load at all the nodal points.









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