A platen structure to facilitate the transport of stacked sheet material conveyed along a transport deck of a sheet feeing apparatus. The platen structure comprises first and second segments connected by means of a compliant coupling. The first segment of the platen is operative to engage a face of the stacked sheet material and apply a stabilizing normal force thereon. The second segment of the platen is operative to engage and travel synchronously with a moving surface of the transport deck. Furthermore, the first and second segments are connected by means of a compliant coupling which is operative to facilitate the relative angular displacement of the first and second segments about at least one axis while maintaining the relative linear displacement therebetween about at least one of the other axes. The platen structure ensures reliable sheet material run-out by compensating for a reduction in sheet material weight as the final or last sheets of the stack are singulated/separated. Furthermore, the compliant coupling enables the various segments of the platen structure to conform to the contour of the stacked sheet material, i.e., a cantilevered delivery profile.