Test: Thin & Thick Walled Pressure Vessels - 1 - Mechanical Engineering MCQ

The initial hoop stress in a thin cylinder when it is wound with a wire under tension is

The analysis of thick cylinders is usually based on Lame’s theory and for which assumptions are made as under:
1. The material of the cylinder is homogeneous and isotropic.
2. The material is stressed beyond elastic limits.
3. Yong’s modulus is the same in tension and compression.
4. Plane sections normal to the longitudinal axis of the cylinder remain plane after the application of pressure.

Which of the above assumptions are valid?

 Hoop strain in case of thick cylinder subjected to internal pressure is given by

The error in calculation of hoop stress for a thin cylinder subjected to internal pressure if the ratio of internal diameter and thickness is 20

Variation of difference of radial and circumferential stress for a thick cylinder subjected to internal pressure follows:

What is the increase of volume per unit volume of a thin-walled steel circular cylinder closed at both ends and subjected to a uniform internal pressure of 0.5 MPa? The wall thickness is 1.5 mm, the. radius 300 mm, and Poissson’s ratio = 0.33. Consider E - 200 GPa.

In thick spherical pressure vessels, the variation of the stresses is