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Strength of Materials
Stress & Strain
GATE 2013
Easy

A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is

  • A0.5
  • B1.0
  • 2.0
  • D4.0

Explanation

For a thin-walled cylindrical pressure vessel, hoop stress σh=pd/(2t) and longitudinal stress σl=pd/(4t). Their ratio σh/σl = 2.

Source: GATE ME 2013 (Booklet Code A) (2013)

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