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GATE 2016 ME (ME2) – Question 18

Mechanics of Materials · Thin-walled pressure vessels · 1 mark · Multiple choice

A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is

  1. 0.25
  2. 0.50
  3. 1.0
  4. 2.0

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Show answer and explanation

Correct answer: (D) 2.0

Explanation

For a thin closed cylindrical vessel, hoop stress is pD/(2t). Longitudinal stress balances pressure on the end cap and equals pD/(4t). Their ratio is therefore **2.0, D**. Closed ends are essential to the axial-pressure loading used here.