This paper presents a methodology to compute the optimum topology of embossed ribs (also known as beads) in stamped plates. The pattern and orientation of embossed ribs are determined using topology optimization techniques as introduced by Bendsøe and Kikuchi (1988). The particular characteristics of embossed ribs in membrane and pure bending deformations are considered in the analysis model to closely simulate their structural behavior. What makes this approach unique is that the optimum solution is made of two materials, one with orthotopic properties which is optimally distributed within a second material with isotropic properties that model the non-ribbed plate. An example of a vehicle fuel tank is included to illustrate the potential use of this methodology.