9 2)
b)
10
11 ஐ
b)
12
13 ஐ
b)
14 a)
b)

03000ME308052002

PART (^
Answer any four full questions, each carries 10 marks.

What is FEM? Describe briefly the main steps in FEM.
What is use of shape function in FEM?
What are the different types of elements in used in FEM for 1D, 2D and 3D
problems? Sketch two types of element s for each case.
Derive the shape for one dimensional linear element and plot it distribution
along the element. Also obtain the expression for the gradient of shape
function and plot it.
The axial displacements at the end points for one dimensional element
subjected to axial force are 2 mm, 5 mm respectively. Determine the axial
displacement of a point at distances of 1/3" and 2/37 of its length from one
end.
Derive the shape functions for linear triangular element, and also obtain the
expression for the gradient of shape function.
Differentiate between global coordinates, local coordinate and natural
coordinates.
Determine the x and y coordinate of point P (x,y) for the triangular element

shown in Fig.1. The shape functions N; =0.3 and ‏وا(‎ 0.2.

धिर (5,6)

Fig.1 (7,1)

What are isoparametric elements?

Sketch the linear and quadratic quadrilateral isoparametric elements.

Page 2 of 2

(8)
(2)

(10)

(6)

(4)

(10)

(3)

(7)
(4)
(6)