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).