a)

b)

९)

2)

0)

00000CE201121902

(i) the principal stresses and their planes and

(ii) | maximum shear stress and their planes.
A closed cylindrical vessel made of steel plates 4 mm thick with plane ends,
carries fluid under a pressure of 3 N/mm”. The diameter of the cylinder is 25 cm
and length is 75 cm. Calculate the longitudinal and hoop stresses in the cylinder
wall and determine the change in diameter of the cylinder due to fluid pressure.
Take E = 2.110“ N/mm? and p = 0.28.
A solid circular shaft is required to transmit 245 kW power at 250 rpm. The
maximum torque may be 1.5 times the mean torque. The shear stress in the shaft
should not exceed 40 N/mm? and the twist 1° per metre length. Determine the
diameter of the shaft. Take modulus of rigidity: 80 kN/mm?.
State moment-area theorems to find the slope and deflection of beams. Using
moment-area method, derive expression to find the maximum slope and
deflection of a cantilever of length 1. carrying a point load of "W" at the free
end.
Find the slope at A and deflection at D, of the beam shown in Fig. 2 using

Macaulay's method. Take E = 2 x10° N/mm? and I= 5 x 10° mm‘,

40 kN/m
A ल ೧೧೧೧೧೧೧೧ಗೊ೧೧೧೧೧೧೧೧೧೧೧. > B
lm 4m 3m
டானை >< ‏لنے‎ Fig. 2

A 2m long column has a circular cross section of 5 cm diameter, one of the ends

of the column is fixed in direction and position and the other end is free. Taking
factor of safety as 3, calculate the safe load using (a) Rankine's formula taking
yield stress as 560 N/mm? and Rankine's constant as 1/1600 and (b) Euler's

formula, with E as 1.2x10° N/mm2.

க்கக்‌

Page 3 of 3

(6)

(6)

(8)

(12)

(8)