Abstract: A fiber compound structural component, for example a radio telescope mirr having a curved surface is constructed to have a homogeneous heat expansion characteristic throughout its entire volume. For this purpose a hollow, honeycomb type core is made of the same fiber compound material as the cover layers between which the preassembled core is sandwiched. The core is first assembled by cutting already cured or hardened core elements of a fiber compound material into suitable shape and/or length and then interconnecting these core elements to form the honeycomb type core to have the curved surface as a result of the cutting. The cover layers are secured to the curved core by using so-called prepregs or preimpregnated fiber compound material of the same type as the core elements and curing the cover layers whereby the curing bonds the cover layers to the core. A mold may be used for laminating the cover layers to the core. The mold may be of the same type fiber compound material or of ceramic.