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Where does the maximum hoop stress in a thick cylinder under external pressure occur ?
- a)At the outer surface
- b)At the inner surface
- c)At the mid-thickness
- d)At the 2/3rd outer radius
Correct answer is option 'B'. Can you explain this answer?
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Where does the maximum hoop stress in a thick cylinder under external ...
Maximum hoop stress in a thick cylinder under external pressure occurs at the inner surface.
Explanation:
When a thick cylinder is subjected to external pressure, stresses are induced in the cylinder wall. The two principal stresses are the hoop stress and the radial stress.
The hoop stress is the stress in the circumferential direction, which is perpendicular to the longitudinal axis of the cylinder. The radial stress is the stress in the radial direction, which is parallel to the longitudinal axis of the cylinder.
The maximum hoop stress occurs at the inner surface of the cylinder, where the cylinder wall is in contact with the fluid or gas under pressure. This is because, at the inner surface, the radial stress is zero, and the hoop stress is equal to the external pressure.
Moreover, as we move towards the outer surface of the cylinder, the radial stress increases, and the hoop stress decreases. Thus, the maximum stress occurs at the inner surface.
Therefore, option 'B' is the correct answer.
Explanation:
When a thick cylinder is subjected to external pressure, stresses are induced in the cylinder wall. The two principal stresses are the hoop stress and the radial stress.
The hoop stress is the stress in the circumferential direction, which is perpendicular to the longitudinal axis of the cylinder. The radial stress is the stress in the radial direction, which is parallel to the longitudinal axis of the cylinder.
The maximum hoop stress occurs at the inner surface of the cylinder, where the cylinder wall is in contact with the fluid or gas under pressure. This is because, at the inner surface, the radial stress is zero, and the hoop stress is equal to the external pressure.
Moreover, as we move towards the outer surface of the cylinder, the radial stress increases, and the hoop stress decreases. Thus, the maximum stress occurs at the inner surface.
Therefore, option 'B' is the correct answer.
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Where does the maximum hoop stress in a thick cylinder under external ...
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Where does the maximum hoop stress in a thick cylinder under external pressure occur ?a)At the outer surfaceb)At the inner surfacec)At the mid-thicknessd)At the 2/3rd outer radiusCorrect answer is option 'B'. Can you explain this answer?
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