A cylindrical container of radius R = 1 m, wall thickness 1 mm is filled with water up to a depth of 2 m and suspended along its upper rim. The density of water is 1000 kg/m3 and acceleration due to gravity is 10 m/s2. The self weight of the cylinder is negligible. The formula for hoop stress in a thin walled cylinder can be used at all points along the height of the cylindrical container.
If the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, the axial strain in the cylinder wall at mid-depth is
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$\sigma_a=\frac{10^4 \times2\times1}{2\times10^{-3}\times100\times10^9}\bigg(\frac{1}{2}-0.3\bigg)\\
\sigma_a=\frac{10^4}{10^8}\bigg(\frac{1}{2}-0.3\bigg)=10^{-4}\times0.2=2\times10^{-5}$