GATE 2025 PI – Question 26
General Engineering · Applied Mechanics · 1 mark · Multiple choice
Relate hoop stress σ₁ and longitudinal stress σ₂ in a closed thin cylindrical pressure vessel.
- $\sigma_1=2\sigma_2$
- $\sigma_1=\sigma_2$
- $\sigma_1=\sigma_2/2$
- $\sigma_1=\sigma_2/3$
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Show answer and explanation
Correct answer: (A) $\sigma_1=2\sigma_2$
Explanation
Hoop stress is $pd/(2t)$; longitudinal stress in closed ends is $pd/(4t)$. Their ratio is two. Hence **σ₁ = 2σ₂, A**.
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