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For thin cylinder under internal pressure p (diameter d, thickness t):
Aσ_hoop (circumferential) = pd/(2t); σ_longitudinal = pd/(4t)
Bσ_hoop = pd/(2t)
CRandom
Dσ_h = pd/t
Answer & Solution
Correct answer: A. σ_hoop (circumferential) = pd/(2t); σ_longitudinal = pd/(4t)
Thin cylinder (t/d < 1/20): hoop stress σ_h = pd/(2t), longitudinal σ_L = pd/(4t). Hoop is twice longitudinal — so cylinders typically fail by longitudinal split (perpendicular to hoop direction). Max shear stress: pd/(8t) in-plane; out-of-plane up to pd/(4t).
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