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Consider a thin-walled cylindrical vessel having diameter 'x'. What would be the value of shear stress given that it is constrained to internal pressure 'I'? (where t is thickness)
  • a)
    Ix/2t
  • b)
    Ix/4t
  • c)
    Ix/6t
  • d)
    Ix/8t
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider a thin-walled cylindrical vessel having diameter x. What woul...
Concept:
Given diameter = x, internal pressure = I
At any point in the material of the thin cylinder shell, there are two principal stresses.
Longitudinal stress: 

Hoop stress: 

As this is the case of a thin cylinder:
σr = 0
All these above stress can be considered principal stresses as no shear stress is acting.
Maximum shear stress,
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Consider a thin-walled cylindrical vessel having diameter x. What would be the value of shear stress given that it is constrained to internal pressure I? (where t is thickness)a)Ix/2tb)Ix/4tc)Ix/6td)Ix/8tCorrect answer is option 'B'. Can you explain this answer?
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