Flexible guide bushing for machine tool

A guide bushing for a machine tool, comprising

• at least two segments, each segment having a main section, two frustoconical, opposite end portions and two opposite sides;
• and
• an elastic connection connecting each side of each segment to the side of a neighboring segment to form a body of revolution having an envelope axis and having a central opening that allows passage of a bar that is to be machined, each of the elastic connections extending axially along the axis in a seat of the guide bushing for the elastic connection, the seat of the guide bushing including a facing arrangement of cutouts of two neighboring ones of the segments, so that in a closed condition of the bushing, the elastic connection in the cutout is at least approximately flush, over at least part of its axial extension, with the envelope of the bushing, without projecting from the envelope, both of said cutouts comprising a flat surface orthogonal to a radial axis of the guide bushing, each of the elastic connections not extending below said flat surfaces of said cutouts;
• each of the elastic connections comprising a tongue having a visible surface, the tongue comprising an intermediate portion and opposite end portions that are chamfered;
• the intermediate portions of the tongues corresponding in axial locations to the main section of the segments connected by the elastic connections;
• the tongue of the elastic connections including a visible surface that is slightly set back with respect to edges of the cutout provided in each of the segments, the tongue of the elastic connections including an inner surface opposed to the visible surface, the inner surface being in contact with the seat, on said flat surfaces of said cutouts.