Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.

A closed cylindrical tank fabricated from $14-mm-$thick steel plate is subjected to an internal pressure of $p=5\mathrm{.}7$MPa. Determine the maximum inside diameter $d$ that can be used for the tank if the maximum in$-$plane shear stress on the outer surface of the cylinder is limited to $39$ MPa for the steel plate.

Hint: Knowing that ${}_{\text{h}\text{o}\text{o}\text{p}}=\frac{pd}{2t}$ and ${}_{\text{l}\text{o}\text{n}\text{g}}=\frac{pd}{4t},$ first sketch Mohr's circle for a cylindrical pressure vessel.

Answer:

$d=,mm$