A thin-walled spherical vessel (1 m inner diameter and $10 \mathrm{~mm}$ wall thickness) is made of a material with $\left|\sigma_{Y}\right|=500 \mathrm{MPa}$ in both tension and compression.

If the vessel is evacuated (internal pressure $=0$ ) and subjected to external pressure, yielding according to the von Mises yield criterion (assuming elastic stability until yield)

(A) occurs at about half the pressure $p_{Y}$

(B) occurs at about double the pressure $p_{Y}$.

(C) occurs at about the same pressure $p_{Y}$.

(D) never occurs.

A thin-walled spherical vessel (1 m inner diameter and $10 \mathrm{~mm}$ wall thickness) is made of a material with $\left|\sigma_{Y}\right|=500 \mathrm{MPa}$ in both tension and compression.

If the vessel is evacuated (internal pressure $=0$ ) and subjected to external pressure, yielding according to the von Mises yield criterion (assuming elastic stability until yield)

(A) occurs at about half the pressure $p_{Y}$

(B) occurs at about double the pressure $p_{Y}$.

(C) occurs at about the same pressure $p_{Y}$.

(D) never occurs.

1 Answer

127 votes

(C) occurs at about the same pressure $p_{Y}$.

127 votes

127