Thin-Walled Pressure Vessels — Worked Examples

A cylindrical vessel has inner radius $r=600\text{ mm}$ and wall thickness $t=12\text{ mm}$. Check the introductory criterion $t/r\le0.1$.

A cylindrical vessel has $D=1200\text{ mm}$, $t=12\text{ mm}$, and internal pressure $p=1.5\text{ MPa}$. Determine hoop stress.

For the vessel in Example 2, determine the longitudinal membrane stress.

A spherical vessel has $D=2000\text{ mm}$, $t=20\text{ mm}$, and $p=2.0\text{ MPa}$. Determine its tangential membrane stress.

A thin cylindrical vessel has $p=2.0\text{ MPa}$ and $D=1000\text{ mm}$. If the permitted membrane stress for this exercise is $100\text{ MPa}$, determine the thickness required by hoop stress.

A cylindrical vessel has $D=900\text{ mm}$, $t=9\text{ mm}$, and a stated allowable hoop stress of $120\text{ MPa}$. Determine the pressure corresponding to that stress.

A cylinder and a sphere each have $D=1000\text{ mm}$, $t=10\text{ mm}$, and $p=1.2\text{ MPa}$. Compare the cylinder hoop stress with the spherical membrane stress.

A thin cylinder operates at fixed $p$ and $D$. Its wall thickness is increased from $8\text{ mm}$ to $12\text{ mm}$. Determine the ratio of new hoop stress to old hoop stress.