A support structure for supporting a heated glass sheet in connection with a bending operation includes a frame, a support ring adjustably supported on the frame for supporting a peripheral portion of the glass sheet, and multiple rib assemblies associated with the frame. Each rib assembly includes a laterally extending rib supported on the frame and multiple spaced apart support members connected to the rib and configured such that at least a portion of each support member is adjustable with respect to the rib. Furthermore, each support member is configured to contact a respective inner portion of the glass sheet to support the respective inner portion of the glass sheet until the glass sheet has been sufficiently cooled.