An inflatable radial tyre mounted on rim with 15 deg. deep gutter for trucks and buses comprises: bead portions, sidewall portions, a tread portion, and a carcass ply. Bead cores of the bead portions are spire laminate steel wires having a polygon shape in section, belt layers is superimposed on an outer periphery of the carcass ply to reinforce the tread portion, and a composite side-rubber extends from a bead base of the bead portion through the outside of the bead portion to a tread rubber of the tread portion and comprises a rubber chafer and a sidewall rubber, characterized in that an outer surface portion of the bead cores of the bead portions among members constituting the bead portion of the tire has a curved shape concavedly directing toward the outside of the tire at a region opposite to an inner curved surface of a slantly rising portion in a flange of an approved rim. |