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The design of thin cylindrical shells is based on :

  • A.hoop stress
  • B.longitudinal stress
  • C.arithmetic mean of the hoop and longitudinal stress
  • D.geometric mean of the hoop and longitudinal stress

Answer: A

Thin cylindrical shells are designed on the basis of hoop stress.

For internal pressure p, diameter d and thickness t, the hoop stress is \(\frac{pd}{2t}\) and the longitudinal stress \(\frac{pd}{4t}\). The hoop stress is twice as large, so it governs the thickness needed.

Designing on the longitudinal stress, or on any mean of the two, would give a wall too thin to resist the larger hoop stress.

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