Optimal sizes of a ground-based horizontal cylindrical tank under strength and stability constraints

The subject of the work is a typical ground-based horizontal cylindrical tank. Two load cases are assumed: total internal pressure and total special pressure. A critical state of such a tank is described. An optimization criterion is formulated as the minimum of the tank mass, moreover the space of allowable solutions is defined. Optimal ratios of basic dimensions for an assumed family of tanks of given capacities are determined. The solutions are restrained by the strength and stability conditions. Results of numerical analysis were approximated with mathematical formulae convenient in the practice of tank design