Abstract: Stitchers for consolidating tire building components successively wrapped on a building drum comprise multiple thin or narrow annular discs in side-by-side array. Each is free independently and individually to rotate about an axis common to the discs in response to the rotation of the building drum, and to be displaced normal to such axis by differing radial elevation of the components relative to the surface of the drum. Uniformly distributed pressure of the discs on the components along the contact zone is obtained by an inflatable cushion extending through the discs and acting on them individually. Thin inner plates disposed respectively within each disc rotatably support the discs and transfer the stitching forces from the cushion to individual discs.