Tread having a plurality of generally circumferentially orientated grooves delimiting a plurality of relief elements, this tread further comprising a plurality of cut-outs in the form of transversely orientated grooves and/or slits, each relief element comprising a contact face intended to come into contact with the road and lateral faces cutting this contact face along edges intended to come into contact with a road during running, this tread having chamfers on at least a plurality of transverse edges of the relief elements, this tread having, in straight-line running, a total contact surface S comprising a part Sc in which all the transverse edges have chamfers and a part Snc in which all the transverse edges are free of chamfers, this tread having, in a cornering maneuver corresponding to a transverse acceleration of 0.3 g (where g is the acceleration due to gravity), a total footprint surface S* formed by a part Sc* comprising chamfers on all the transverse edges of its relief elements and a part Snc* free of any chamfer, this tread being such that the ratio Snc/Sc is equal to not more than 2% and that the ratio Snc*/Sc* is equal to or greater than 10%.