Abstract: An upholstered sofa frame for a convertible bed has separable back and seating units which are independently upholstered. The back has a slide bracket at each end facing the rear portion of the inner surface of the arm against which a mounting bracket is secured. The slide bracket has a locking lever pivoted thereto containing a cam face which is moved toward a notch in the mounting brackets for locking the back to each of the arms. The back unit when constructed without wings may be laid upon the seat for compact shipment. It may be removed when the unit is passed through a narrow door of less height than the length of the back so that the unit may have the two pieces moved separately through the door and assembled. It may be removed when the stored bed unit is partially removed from the storage area to permit cleaning thereunder without requiring the entire unit to be moved to some other part of the room.