A pneumatic tire having a radial carcass and at least two plies of steel cord belts as constituents of the reusable tire body has recap components that include an unvulcanized reinforcement belt having rubberized textile cord elements oriented parallel with respect to the equatorial plane of the tire. The textile cord reinforcement belt is wound around the tire under tension and an unvulcanized tread strip is applied thereover. Subsequent vulcanization assures a firm bond between the recap components and the used tire body.