Method for manufacturing a carcass for tyes and a carcass obtained thereby

A tire for vehicle wheels, comprising:

• a carcass structure (2) having at least one carcass ply (3a, 3b) comprising elongated sections (13, 14, 15, 16) circumferentially distributed around a geometric rotation axis (O), each of said elongated sections (13, 14, 15, 16) extending in a U-shaped configuration around the cross-section outline of the carcass structure, to define two side portions (13a, 14a, 15a, 16a) mutually spaced apart in an axial direction, and one crown portion (13b, 14b, 15b, 16b) extending at a radially outer position between the side portions (13a, 14a, 15a, 16a), said carcass structure further comprising at least two annular reinforcing structures (4) placed close to respective inner circumferential edges of said at least one carcass ply (3a, 3b);
• a belt structure (5) applied to the carcass structure (2) at a circumferentially outer position thereof;
• a tread band (8) applied to the belt structure (5) at a circumferentially outer position thereof;
• at least one pair of sidewalls (9) applied to the carcass structure (2) at laterally opposite positions;
• characterized in that each section (13, 14, 15, 16) of the carcass structure (2) substantially lies in a plane (N, N′) parallelly offset relative to a meridian plane (P) of the carcass structure, so that its crown portion (13b, 14b, 15b, 16b) is oriented, with respect to a radial reference plane (R, R′) passing through a transition point between the crown portion itself and at least one of the corresponding side portions (13a, 14a, 15a, 16a), at an angle of a different value from the inclination exhibited by said at least one side portion (13a, 14a, 15a, 16a).