Carbon reinforced concrete is a high potential possibility for the strengthening of existing buildings. When utilizing this innovative material, the load-capacity can be increased impressively, by thin strengthening layers of only 10-15 mm. Therefore, carbon reinforced concrete is a perfect fit for the restauration or strengthening of existing steel reinforced concrete structures, which cannot carry any more loads resulting from the self-weight of an additional component. In this paper the current status of the hypar shell in Magdeburg (Germany) with relating problems and damages as well as the planned strengthening of the hypar shell with carbon reinforced concrete will be described. In detail the concept of the design and the calculation for the strengthening layers will be introduced. More over some important facts of the design and the recalculation of the CRC strengthening will be shown, e.g. taking into account the interaction of bending moment and normal forces or the consideration of the pre-deformation of the hypar shell. At the end, an outlook of the future work for the project will be given.