Assembly (5) comprising: a plane (2) for climbing a step or a stepladder (1) comprising two side members (8) connected by a plurality of parallel bars (7) including one end bar (6), each side members comprising hollows (10) beyond the end bar, a shelf (4) intended to support a predetermined load, the shelf comprising a fixing part (17) provided with two members (29) able to fit into the within the hollows so as to allow mounting of the shelf on the side members, the shelf comprising a protuberance (34) configured to come into contact with the end bar when the shelf is mounted on the climb plane, so as to form a support. Figure for the abstract: Fig. 2
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