The invention relates to a shearing device (1) for fragmenting a metal strip, said device comprising two counter-rotating drums (2, 3), arranged facing one another, a drive device connecting the drums and synchronising the rotation speed thereof, and at least one pair of blades, the blades of the pair being supported respectively by the two drums (2, 3), the blades of the pair being intended for engaging by shearing effect during the rotation of the drums (2, 3) in order to cut the waste, the blades of the pair having, from the cutting edge (4) thereof, planar surfaces, referred to as overlapping surfaces, overlapping and facing one another at least locally during the shearing between blades, each blade being secured transversely to the drum (2, 3), at an angle relative to the axis of rotation (A1, A2) of the drum (2, 3) and such that the plane that passes through said overlapping surface of the blade forms an angle with the axis of rotation (A1, A2) of the corresponding drum, such as to produce gradual shearing. According to the invention, said overlapping surface of each blade (20; 30; 21; 31; 22, 15, 32; 23; 33) is tilted relative to the corresponding drum (2, 3) such that the plane passing through said overlapping surface does not intersect the axis of rotation of the drum (2, 3) on the active width of the drum.