Bending of a rectangular plate with rotationally restrained edges under a concentrated force

The bending problem of a rectangular plate with rotationally restrained edges under a concentrated force is studied. An emphasis is placed on the determination of the corner forces and deflection. The problem is solved by superposition of classical Navier’s and Levy’s solutions. Analytic solutions in terms of series are obtained for RSSS, RRSS and RSRS plates, respectively, where R and S stand for rotational restraint and simple support, respectively. Some important design parameters such as maximum deflection and corner force are evaluated. The effect of edge restraint on these parameters is illustrated.