This equipment (1) comprises at least one connecting bar (100), at least one flexible ligament (101) and at least one connecting assembly (1). According to the invention, -a connecting part (2) of said assembly forms an engagement conduit (15) for engagement of the connecting bar (100); -the body (6)of this part (2) has a central conduit (10) for receiving a tightening part (3) and two lateral conduits (11) for receiving the strands of the ligament; -said tightening part (3) comprises a threaded pin (16) capable to be engaged into said central conduit (10) and a base (17) for bearing against the connecting bar (100); -the nut (4) has a distal portion (31) coaxial with itself, on which is pivotally mounted a pressing ring (5) adapted to be engaged into said lateral conduits (11) and to tighten the strand of the ligament (101).