A method for replacing the concave insert of a rotary combine. The rotary combine includes a rotor having a longitudinal axis of rotation and a concave removably mounted adjacent the rotor. The concave is removable in a direction outwardly transverse relative to the axis of rotation of the rotor. In a preferred embodiment, a concave assembly includes a longitudinally extending frame having first and second sides spaced circumferentially around the rotor. Each of the first and second sides is transversely moveable relative to the axis of rotation of the rotor. A concave insert is removably mounted to the frame.