Existing principles and concepts of minimum weight analysis are used to derive detailed design information for stiffened, axially compressed cylinders. Results from similar studies also are presented for hydrostatically compressed cylinders, wide columns, compression panels, and multiweb box beams in bending. A common approach can be used in all analyses which generally results in an efficiency equation of consistent and convenient form. Minimum weights are compared in all cases, showing the relative efficiencies of various stiffening arrangements. The effect of material properties on structural efficiency also is demonstrated.