A pneumatic tire with an increased load carrying capacity (extended load index) but compatible with conventional, commercially available wheel rims, has a modified carcass ply line. The pneumatic tire (746) has a tread area (712) and a carcass structure (728) including two bead areas (750a,750b), at least one cord-reinforced elastomeric ply (730) extending through sidewalls (726a,726) between the bead areas (750a,750b) and the tread area (712), and a belt structure (718) between the tread area (712) and the carcass structure (728). The tire (746) has bead areas (750a,750b) containing a triangular shaped beads so that the ply line (PL′″) that causes the bead areas to better secure the tire to the rim during high stress conditions.