Tutorial $5\mathrm{.}2$

The gas storage tank is fabricated by bolting together two half cylindrical thin shells and two hemispherical shells as shown. If the tank is designed to withstand a pressure of $3$ MPa $,$ determine the required minimum thickness of the cylindrical and hemispherical shells and the minimum required number of longitudinal bolts per meter length at each side of the cylindrical shell. the tank and the $25$ mm diameter bolts are made from material having an allowable normal stress of $150$ MPa and $250$ MPa $,$ respectively. The tank has an inner diameter of $4$ m $.$