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A radial ply (1) try P having a maximum axial width So, comprising a crown reinforcement (3) formed by at least two working crown plies (32, 34) whose axial widths L32,L34 are greater than the width L33 of an additional reinforcement (33) comprising non-extendable and substantially radial reinforcing elements and which is radially disposed between said plies (32), being axially comprised of three parts, a center part in the form of a ply (33') formed from non-extendable and substantially radial reinforcing elements, having a width and two side parts in the form of strips (33 ) which are both formed from circumferential reinforcing elements, whereby the modulus of elasticity with respect to traction per side strip (33 ) unit width is at the most equal to the modulus of elasticity with respect to traction of the most extendable working ply (32, 34) when measured in the same conditions. Drawing sheets. 01 Total Pages: 17 (FIG.-01)