LY ರ” Fig. 1
a

5) a) Explain ‏ہے‎ 1٥00٥۳۵0٠1+, subparametric and super
parametric elements
2

b) Differentiate between Langrangian element and Serendipity element. 6) a)Evaluate
the shape function NI and N3 at the interior point P for the

; triangular element shown in the figure 2.

(4,7)
~~
3:5) (75)
(3,2) x Fig. 2

. 0) Explain the plane stress and plane strain cases of 2D analysis
PART C (Each question carries 12 marks)

7) a) Explain the storage techniques of stiffness matrix
b) Explain the static condensation procedure

8) a) Explain the patch test in FEA
b) Illustrate four examples of 3 D solid elements with sketches and their applications.

9) Evaluate the integrals using Gauss quadrature integration method considering 2 and

3 sampling points

a) xydxdy b) x sin(x + y 2 )dxdy