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Thin Cylinder's: von-Mises Yield Criteria & Tresca

Question:

A thin cylinder of 3m diameter is subjected to an internal pressure of 2.5MN/m^2. Using a factor of safety of 2.2 and a yield stress of 300MN/m^2, calculate the wall thickness based on the

a) Tresca

b) von-Mises yield criteria


Answer:

We know:

Hoop Stress:

Longitudinal Stress:

Tresca stress model


As both stress values are positive, the second stress figure is set to zero to comply with Tresca Yield Criteria:

Von-Mises:


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