A gas cylinder (closed thin-walled cylindrical pressure vessel) of diameter $30 \mathrm{~cm}$ and wall thickness $1 \mathrm{~mm}$ is subjected to a design maximum internal pressure of 5 bar $(0.5 \mathrm{MPa})$. The material used for manufacturing this cylinder has a failure stress of $260 M P a$. Assuming von Mises failure criterion, the factor of safety (with respect to maximum allowable stress) for this cylinder is

(A) 2.8

(B) 2.0

(C) 6.9

(D) 4.0

A gas cylinder (closed thin-walled cylindrical pressure vessel) of diameter $30 \mathrm{~cm}$ and wall thickness $1 \mathrm{~mm}$ is subjected to a design maximum internal pressure of 5 bar $(0.5 \mathrm{MPa})$. The material used for manufacturing this cylinder has a failure stress of $260 M P a$. Assuming von Mises failure criterion, the factor of safety (with respect to maximum allowable stress) for this cylinder is

(A) 2.8

(B) 2.0

(C) 6.9

(D) 4.0

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