Question

3. A boiler shell 200 cm diameter and plate thickness
1.5 cm is subjected to internal pressure of 1.5 MN/m2,
then the hoop stress will be
(a) 30 MN/m2
(6) 50 MN/m2
(c) 100 MN/m2
(d) 200 MN/m2
(e) 300 MN/m2.

Answer 1

The hoop of the stress is 100 MN/m².

Diameter of the boiler shell = 200cm (Given)

Thickness of the plate = 1.5cm (Given)

Internal pressure = 1.5MN/m² (Given)

Hoop stress is the total force which is exerted on the circumference, being perpendicular to both the radius and axis of an object.

Hoop stress = pd/2t

= 1.5 × 10`6 × 2 / 2 × 1.5 × 10²

= 100

Therefore, the stress in the hoop is 100 MN/m².