A cylindrical vessel, whose ends are closed by means of rigid flange…

Question

A cylindrical vessel, whose ends are closed by means of rigid flange plates, is made of steel plate $3\text{ mm}$ thick. The length and the internal diameter of the vessel are $50\text{ cm}$ and $25\text{ cm}$ respectively. Determine the longitudinal and hoop stresses in the cylindrical shell due to an internal fluid pressure of $3\text{ N/mm}^2$. Also calculate the increase in length, diameter and volume of the vessel. Take E as $2 \times 10^5\text{ N/mm}^2$ and Poisson's ratio $0.3$. [20]

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