A tread (B) provided with a tread pattern formed of a plurality of elements in relief (1, 10) which are defined by grooves and/or incisions (2), this tread pattern comprising on each of its edges, that is to say axially furthest to the outside of the tread, an edge rib (1) of circumferential orientation defined axially to the inside by a groove (2) of the same general orientation and of depth H, this tread furthermore comprising, axially to the outside of each edge rib (1), a rib (3) offset relative to the outer contact surface (11) of the neighboring edge rib (1) by a distance d other than zero, this offset rib (3) being separated from the edge rib (1) by a groove (4) of a depth identical or close to the depth H of the groove (2) defining the edge rib (1), wherein the tread comprises, on either side where a sacrificed rib (3) is formed, a plurality of channels (5) opening on to the lateral faces of the tread, these channels (5) being extended in the tread until they open into the groove (4) between the offset rib (3) and the neighboring edge rib (1).