Pneumatic radial tire with high durable bead portions

A pneumatic radial tire with high durable bead portions, comprising;

• a pair of bead portions each having a bead core, a pair of sidewalls and a tread extending between the sidewalls, a carcass extending between the bead portions and consisting of plies with cords radially arranged, at least one ply being turned up about said bead cores of the bead portions from inside to outside of the tire in a turn-up construction, wherein a carcass pass line in radial section of the tire in its self-holding position filled with 5% of a normal inner pressure under no-load condition comprises curvatures changing areas (v) in a carcass pass line curved toward the turned-up portions in the proximities of positions corresponding to a height (h) of turn-up ends of the ply from a bead base line to cause compressive stresses in the bead portions near the turn-up ends of the ply by deformations of the carcass when the tire is filled to normal inner pressure, each of said curvature changing areas (v) of the carcass pass line is smoothly continuous with a zone (w') on a side remote from the bead core through an inflation point of the carcass pass line and is within a carcass pass line area ext ending a radial distance corresponding to 8% of a maximum radial height (H) of the carcass pass line measured from the bead base line on radially inward and outward side of the turn-up ends of the ply, and curvature changing areas (v) of said pass line have large curvatures with two circumferentially spaced tangential points on said pass line having a difference in angles of said tangents greater than 5.degree., and said zone (w') is located in a portion of the carcass pass line between two points (P) and (Q) radially spaced from said height (h) by a radial distance (i) corresponding to 24% of said maximum radial height (H), and a radial distance (j) corresponding to 12% of said maximum radial height (H) and said carcass pass line in zone w' having a center of curvature located outside of the tire.