If the thin cylindrical shell whose diameter is 'd' is subjected to an internal pressure 'p', then the ratio of longitudinal stress to the hoop stress is-
Correct Answer:
C. 1/2
Explanation:
For a thin cylindrical shell under internal pressure, the longitudinal stress is calculated as pd/4t, while the hoop (circumferential) stress is pd/2t. Dividing the longitudinal stress by the hoop stress results in a ratio of (pd/4t) / (pd/2t), which simplifies to 1/2. Therefore, the longitudinal stress is exactly half of the hoop stress.
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