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Mechanical Engineering QUESTION #2414
Question 1
The hoop (circumferential) stress \(\sigma_h\) in a thin-walled cylinder (wall thickness \(t\), internal diameter \(d\), internal pressure \(p\)) is:
  • \(\sigma_h = pd/(4t)\)
  • \(\sigma_h = pd/(2t)\)✔️
  • \(\sigma_h = 2pd/t\)
  • \(\sigma_h = pt/d\)
Correct Answer Explanation
For a thin-walled cylinder (\(t<0.1d\)), hoop stress: \(\sigma_h=pd/(2t)=pr/t\). The longitudinal stress is half: \(\sigma_l=pd/(4t)=\sigma_h/2\).