A pneumatic tire having pairs of shoulder section and bead section shear layers positioned on at least one axial side of the carcass layer. Examples include one or more of the shear layers constituted of an elastomeric fabric having elastomeric fibers woven in the fabric. Such fibers may be spandex fibers and the fabric may further be characterized as being woven additionally with nylon fibers in a tricot construction. Other embodiments include at least one of the shear layers constituted of a polyurethane type elastomer material having an MA1O of between 1 MPa and 350 MPa. Exemplary shoulder section and bead section shear layers in a pinch shocked region are opposite across an interior of the tire.