12 (a)

(b)

13 (a)

(b)

14 (a)

(b)

0800MET201122001

OR

The state of stress is shown in the 2
40 N/mm |

2

figure. Using Mohr’s circle, determine 30 Nim

the Principal stresses, the Maximum

shear stress and the Plane of maximum

५ 2
07/1
shear stress. ‏د‎

4 40 N/mm

If the stress tensor at a point is given by ൩൨, ന്‌, ൧൧൭. 1.72, ൩൧ 3, യഹ്‌.

find the resultant stress vector on a plane with direction cosines (1/13, 1/۸/3,
1/43)
Module 2

Derive expression for extension of a tapered- rod (Young’s Modulus is 1) of
length L tapering from diameter D to d, when loaded by an axial force P.

What should be the length of part-2,
if both parts in the figure are to have
the same elongation? What is the

magnitude of deformation in each

part? Use E=2 X 10° 700೫೨

OR
A steel rod 20mm in diameter screwed at the ends passes through a copper tube
of inner diameter 25 mm and outer diameter 30mm. The temperature of the
assembly was at 115°C when they were assembled and was relieved of all

stresses. Find the stresses in the rod and the tube when the temperature has fallen
5 5 2
to 15°C. Estee} = 2.1 X 10 N/mm’, Ecopper = 1.0 X 10 N/mm’ , ಯೈ

=0.000012/deg.C and @ copper =0.0000175/deg.C .

Formulate Generalized Hooke’s law equations for a tri-axial state of stress in
Cartesian coordinates, starting from consideration of Hooke’s law for an elastic

solid and Poisson’s ratio.

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