Equipment which can be used by an industrial robot for gripping workpieces or assemblies being processed or assembled and has a separable modular structure, with a definite and repeatable geometry

Equipment which can be used by an industrial robot for gripping pieces or assemblies being processed or assembled, comprising a modular reticular structure (12), defined by a plurality of modules (2), which are connected together by means of screw connections (14), and a plurality of positioning elements (P) joined to the aforesaid modular reticular structure by means of respective auxiliary modular reticular structures (4), in which each of said auxiliary structures (4) comprises one or more bars (5) with circular cross section and one or more interconnection blocks (6), as well as one or more reference devices (19) for reference of the correct reciprocal position of each bar in relation to a respective block.