4,

6.

PART ೧

a. What are the differences in mode[ling plane stress
and plane strain problems? Elaborate with example.
Write consHtutive relaHon for both type of problems.
4 b. Discretize the rectangular mild steel plate of
100 mm X 50mm X 2mm with a hole of dimeter 20 mm at
the center. What are the practical considerations one
will take for this problem and how will one impose the
boundary conditions when the plate is clamped at the
shorter edges. Give the type of element used, nodal
degrees of freedom, element degrees of freedom, the
total degrees of freedom and the nodal connectivity.
5

a. Evaluate the saffness matrix for the element shown
in Figure. The coordinates are given in units of
rnillimeters. Assume plane stress conditions. Let E =
210 GPa, v = 0.25, and thickness t = 10 mm.
http:/'www.ktuonline.com 6

A 120)

‎Explain the boundary conditions (Neumann, Dirichlet‏ .م
‎and Robin) 3‏

‎a. Consider a uniform bar subjected to a linearly
varying load q = ax. The governing differential
equation is given by AE % + ax = 0, Use Galerkin
Weighted Residual procedure on a two-term trial
function to get the solution of the governing equation.
4

‎Obtain the shape functions for a LST element shown in
the figure5