A radial tire comprises a multilayer composite laminate (10) comprising at least three superposed layers of reinforcers (110, 120, 130), the reinforcers being unidirectional within each layer and embedded in a thickness of rubber (C1, C2, C3, respectively), with a first layer of rubber (C1) comprising at least one row of heat-shrinkable circumferential textile reinforcers (110), for example made of nylon or polyester. The first layer radially (in the direction Z) surmounts two other layers (C2, C3) comprising metal reinforcers (120, 130) which are crossed from one layer to the next, in the form of steel monofilaments of a diameter between 0.20 mm and 0.50 mm. The reinforcers (110) made of heat-shrinkable textile material are tapes of thickness denoted “T” between 0.1 mm and 1 mm, and of thickness denoted “W” between 2 and 50 mm.