Consider the following statements for a thick-walled cylinder, subjected to an internal pressure: 1. Hoop stress is maximum at the inside radius. 2. Hoop stress is zero at the outside radius. 3. Shear stress is maximum at the inside radius. 4. Radial stress is uniform throughout the thickness of the wall. Which of the above statements are correct?

Consider the following statements for a thick-walled cylinder, subjected to an internal pressure: 1. Hoop stress is maximum at the inside radius. 2. Hoop stress is zero at the outside radius. 3. Shear stress is maximum at the inside radius. 4. Radial stress is uniform throughout the thickness of the wall. Which of the above statements are correct? Correct Answer 1 and 3

Concept:

In the case of a thick walled cylinder, the stress variation is as follows

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• In the case of thin cylinders, the hoop stress is determined by assuming it to be uniform across the thickness of the cylinder but in thick cylinders, the hoop stress is not uniform across the thickness, it varies from a maximum value at the inner circumference to a minimum value at the outer circumference.

The Variation of the hoop stress and the radial stress from the figure can be concluded as 

• The hoop stress varies parabolically from the maximum value at the inner radius to the minimum value at the outer radius 
• The radial stress also varies parabolically but the maximum value is at the inner radius and at the outer radius the value is zero.