Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879-5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge. The plate is assumed to be hinged on its vertical edges and free on its remaining horizontal edges. This reliable model aims to describe more accurately the motion of suspension bridges compared to all previous known models. In the present paper, we consider a plate equation in the presence of memory and subject to the above-mentioned boundary conditions. We give a rigorous well-posedness result and establish the existence of a global attractor. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim