A safety brake device at a load receiving means of an elevator installation comprises brake equipment which co-operates with a guide rail of the load receiving means. The brake equipment includes a cam disc, which is rotatable about a cam disc axis and which for activation of the safety brake device is set into a rotation through an activation rotational angle, wherein the cam disc is so designed that the cam disc as a consequence of rotation through the activation rotational angle comes into contact with the guide rail, whereby the guide rail moving relative to the safety brake device when the load receiving means is travelling rotates the cam disc into a position in which the brake equipment and thus the safety brake device produce an intended braking action relative to the guide rail.