(a) A thick-wall cylinder is made of steel ( $E=200 \mathrm{GPa}$ and $v=0.29$ ), has an inside diameter of 20 mm , and has an outside diameter of 100 mm . The cylinder is subjected to an internal pressure of 300 MPa . Determine the stress components $\sigma_{\pi}$, and $\sigma_{\theta 0}$ at $r=a=10 \mathrm{~mm}, r=25 \mathrm{~mm}$, and $r=b=50 \mathrm{~mm}$.

Explanation

The stress components σ_π and σ_θ are the hoop and radial stresses respectively. They can be calculated using the formulae given above.