Work is devoted to rehabilitating damaged, injured reinforced concrete T-beams of bridges of carbon fibre-reinforced plastic materials. Estimating beams' resistance at shear depended on the percent of longitudinal working reinforcing- μ, attitudes of flight of shear to a working height of section - av/ho, an interval, quantity, and orientation of CFFM strips. The mechanism of destruction and estimation of bearing ability strengthened damaged and intact Т-beams are investigated at shear. Results of deformations of the stretched working and cross-section armature, deformations of concrete on the height of beams and in strips CFFM from loading. The influence of CFFM on the bearing ability and character of the destruction of beams is investigated.