Machine for installing and removing tyres

The machine has a lever (12) including a spherical pressure element (13) for exerting pressure on a bead and/or a sidewall (5) of a tire (1) at a work point (B) of the tire. A ball joint (E) i.e. horizontal axis pivot, is articulated around a point for connecting or separating the pressure element from a central plane (PC) that is perpendicular to a vertical axis (Y). A tangential plane (PTA) is parallel to the axis and perpendicular to a radial plane (PR). The planes define four spatial quadrants (Q1-Q4). Another ball joint (C) i.e. vertical axis pivot, is found in the first/third quadrant.