Connection device of the vertical jacks (10, 10 ', 12, 12 ′) of a supporting structure (2), each of the cylinders (10, 10', 12, 12 ′) comprising an externally threaded rod (22), and intended to be inserted into one end of a vertical upright (18, 18 ', 24, 24 ′) of said carrying structure (2), characterized in that the device comprises a smooth (28, 29), each connecting two adjacent actuators, the tubes (36, 36 ′) internally threaded each inserted in one of the threaded rods on the outside (22), said tubes (36, 36 ′) threaded internally, each comprising means for fastening one end of one of said rails (28, 29) and is movable by screwing the length of the externally threaded rod (22). Supporting structure (2), characterized in that it includes connecting devices of the preceding type.
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