Abstract: A flexible rotary coupling for accommodating axial and/or angular misalignment between shafts comprises end bosses for the respective shafts, each boss having a diametrical slot and the slots facing each other to receive the ends of a platelike rigid intermediate member that transmits the torque between the shafts. The ends of the member are inserted in resilient liners in the slots and the liners can deform to accommodate shaft misalignment while the torque load places the liner material in compression. The intermediate member can be slid transversely out of the slots to disconnect the coupling without disturbing the shafts.