A method of manufacturing a tire includes steps of: providing a shoulder drum that includes shoulders having a height of at least equal to 25 mm; placing a carcass ply of a green tire on the shoulder drum; providing a winding of circumferential bead reinforcers around each end of the carcass ply, each winding having a number of turns providing a winding of circumferential bead reinforcers against each shoulder of the shoulder drum, each winding being in a spiral; and forming the green tire such that each end of the carcass ply does not have a turnup around the circumferential bead reinforcers, and the circumferential bead reinforcers are positioned in the green tire in a defined layout.
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