A support assembly for guiding a flap on an aircraft wing during deployment of the flap. The assembly includes an arcuate guide track mountable to an aircraft wing and defining a two-dimensional path, a carriage mounted on the guide track so as to slide along the track during flap deployment, a part-spherical bearing, and a shaft having one end attachable to a flap and the opposite end coupled to the carriage via said part-spherical bearing. The shaft is free to pivot relative to the carriage about a center of the part-spherical bearing in all directions, as the carriage slides along the track.