Apparatus for handling a large object, i.e., for example, an annular core on which a tire carcass is to be formed, includes an annular wall positionable about the annular core, and a diaphragm associated with the inner surface of the wall and defining with the wall a chamber into which pressurized fluid may be directed. Such introduction of pressurized fluid expands the diaphragm so that such diaphragm comes into contact with and grips the core. The core may then be moved and/or turned over by manipulation of the wall.