Experimental data on the dynamic response and strength of simple shells of fiber composites are used to justify the choice of these materials for the load-bearing shells of blast-proof structures. It is shown that in such structures composites are preferred to homogeneous metal alloys (structural steels) to eliminate strong scale effects of an energetic nature. A criterion for selecting fibers is proposed and justified experimentally, and reinforcement patterns are determined to obtain optimal (in the strength-mass ratio) compositions for the load-bearing shells of blast-proof containers and chambers.