(Solved): Assuming the surface of a cylindrical pressure vessel is in a state of plane stress, with an inter ...

Assuming the surface of a cylindrical pressure vessel is in a state of plane stress, with an internal gas pressure of $$10\mathrm{MPa}$$. As shown in the picture, the "hoop" stress is as $${?}_H=\mathrm{pr}/\mathrm{t}$$, and the "longitudinal" stress is $${?}_{\mathrm{t}}=\mathrm{pr}/2\mathrm{t}$$ where $$\mathrm{p}$$ is pressure, $$\mathrm{r}$$ is the radius of the cylinder and $$t$$ is the thickness of the cylinder If the vessel is made from aluminum $$\left({\mathrm{E}}_{\mathrm{Al}}=70\mathrm{GPa},v=0.3\right)$$ determine the strains $$\left({?}_x,{?}_x,{?}_x\right)$$ at point A.