Grille for consolidating a reinforced concrete or masonry structure comprising at least one layer formed: - on the one hand, by a reinforcement constituted of flat warp threads (2°c) and weft threads (2°t); - and, on the other hand, by a binding network of the reinforcement; wherein the binding network is such that it ensures the geometric regularity and dimensional stability under stress of the meshes of the reinforcement, before the grille is applied to the structure to be consolidated, wherein the binding network of the reinforcement is a weave constituted of warp elements (3°c) and weft elements (3°t), and characterized in that this weave is a leno weave; each warp element (3°c) of this weave comprising at least two binding threads (3i°c, 3ii°c), preferably two, and each weft element (3°t) of this weave comprising at least one binding thread (3°t, 3°t'), preferably one, and in that: • each warp element (3°c) of the weave comprises two warp binding threads (3i°c, 3ii°c) and each weft element (3°t) of the weave comprises one weft binding thread (3°t, 3°t'), • one of the two binding threads passes on one and the same side C1 of all the weft threads of the reinforcement, • the other warp binding thread passes on one and the same side C2, opposite C1, of all the weft threads of the reinforcement, • between two successive weft threads of the reinforcement, the warp binding threads (3i°c, 3ii°c) cross before the weft binding thread (3°t, 3°t'), pass on either side of the weft binding thread and then cross again to clasp the weft thread of the reinforcement. - on the one hand, by a reinforcement constituted of flat warp threads (2°c) and weft threads (2°t); - and, on the other hand, by a binding network of the reinforcement; wherein the binding network is such that it ensures the geometric regularity and dimensional stability under stress of the meshes of the reinforcement, before the grille is applied to the structure to be consolidated, wherein the binding network of the reinforcement is a weave constituted of warp elements (3°c) and weft elements (3°t), and characterized in that this weave is a leno weave; each warp element (3°c) of this weave comprising at least two binding threads (3i°c, 3ii°c), preferably two, and each weft element (3°t) of this weave comprising at least one binding thread (3°t, 3°t'), preferably one, and in that: • each warp element (3°c) of the weave comprises two warp binding threads (3i°c, 3ii°c) and each weft element (3°t) of the weave comprises one weft binding thread (3°t, 3°t'), • one of the two binding threads passes on one and the same side C1 of all the weft threads of the reinforcement, • the other warp binding thread passes on one and the same side C2, opposite C1, of all the weft threads of the reinforcement, • between two successive weft threads of the reinforcement, the warp binding threads (3i°c, 3ii°c) cross before the weft binding thread (3°t, 3°t'), pass on either side of the weft binding thread and then cross again to clasp the weft thread of the reinforcement. wherein the binding network is such that it ensures the geometric regularity and dimensional stability under stress of the meshes of the reinforcement, before the grille is applied to the structure to be consolidated, wherein the binding network of the reinforcement is a weave constituted of warp elements (3°c) and weft elements (3°t), and characterized in that this weave is a leno weave; each warp element (3°c) of this weave comprising at least two binding threads (3i°c, 3ii°c), preferably two, and each weft element (3°t) of this weave comprising at least one binding thread (3°t, 3°t'), preferably one, and in that: • each warp element (3°c) of the weave comprises two warp binding threads (3i°c, 3ii°c) and each weft element (3°t) of the weave comprises one weft binding thread (3°t, 3°t'), • one of the two binding threads passes on one and the same side C1 of all the weft threads of the reinforcement, • the other warp binding thread passes on one and the same side C2, opposite C1, of all the weft threads of the reinforcement, • between two successive weft threads of the reinforcement, the warp binding threads (3i°c, 3ii°c) cross before the weft binding thread (3°t, 3°t'), pass on either side of the weft binding thread and then cross again to clasp the weft thread of the reinforcement. • each warp element (3°c) of the weave comprises two warp binding threads (3i°c, 3ii°c) and each weft element (3°t) of the weave comprises one weft binding thread (3°t, 3°t'), • one of the two binding threads passes on one and the same side C1 of all the weft threads of the reinforcement, • the other warp binding thread passes on one and the same side C2, opposite C1, of all the weft threads of the reinforcement, • between two successive weft threads of the reinforcement, the warp binding threads (3i°c, 3ii°c) cross before the weft binding thread (3°t, 3°t'), pass on either side of the weft binding thread and then cross again to clasp the weft thread of the reinforcement.