A cylindrical vessel, whose ends are closed by means of rigid flange plates, is made of steel plate 3 mm thick. The length and the internal diameter of the vessel are 50 cm and 25 cm respectively. Determine the longitudinal and hoop stresses in the cylindrical shell due to an internal fluid pressure of $3 \mathrm{~N} / \mathrm{mm}^{2}$. Also calculate the increase in length, diameter and volume of the vessel. Take $\mathrm{E}=2 \times 10^{5} \mathrm{~N} / \mathrm{mm}^{2}$ and $\mu=0.3$.
Explanation
The longitudinal and hoop stresses in the cylindrical shell are determined using the formulas for stress. The increase in length, diameter, and volume of the vessel are determined using the formulas for strain and volume change.
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