Collapsible tire, method for collapsing same, and use thereof

The collapsible tire includes at least one carcass reinforcement that is surmounted radially from the outside by an inextensible crown reinforcement, which is radially on an inside of a tread. The reinforcements each include at least one layer of reinforcing elements. The tread is connected to two beads by two sidewalls. The beads are intended to come into contact with a rim, and each bead has at least one circumferential reinforcing element called a bead wire. The bead wire defines a mean line which forms a substantially circular closed curve in a circumferential plane. The bead wires are flexible and have at least one concave part Pc with a radius Rc and a center of curvature Cc.