The interaction between the compression characteristics of gaskets and the deflections of rigid flanges is discussed as it affects the creation of required sealing stress upon the gasket. A method of applying simple and continuous beam deflection formulae describes a procedure to obtain an economical, sufficiently stiff flange when initially designed. Multiple bolts create continuous beam conditions that are effective in decreasing flange deflections and creating a more uniform gasket pressure. The use of high strength bolts to maximize span length between bolts may not be advisable because longer spans require stiffer, heavier flanges.