Lightweight design is an important aspect in the development of components to reduce material use and obtain energy-efficient structures. Frequently, lightweight structures are designed for one or a few load cases. Therefore, optimized designs can be less robust against changes in boundary conditions, scattering material parameters or deviating tolerances. Thus, these structures must be designed with safety factors that counteract the targeted lightweight design goal. In this article, an approach for the consideration of uncertainties is presented. The approach allows evaluating potentials of the accurate consideration of uncertainties. Finally, the developed approach is implemented for the calculation of the buckling load and torsional strength of thin-walled CFRP cylinderical shells.