A method for supporting a heated glass sheet in connection with a glass processing operation may include adjusting a support structure so that multiple spaced apart support members of the support structure cooperate to define a shape that corresponds to a desired end shape of the glass sheet. The method may further include contacting the glass sheet with the support members until the glass sheet has been sufficiently cooled. Furthermore, the support structure may include a frame and a support assembly associated with the frame, the support assembly including the support members and a support connected to the support members such that at least a portion of each support member is adjustable with respect to the support. The support may further be connected to the frame at two locations on the frame such that the support spans an open area between the two locations on the frame.