A cutting device includes a frame and a counter construction fitted in the frame. The cutting device also includes a force member rotatably supported to the frame and extending in the radial direction up to the counter construction, overlapping in the axial direction relative to the axis of rotation of the force member. In addition, the cutting device includes equipment for rotating the force member and thereby for cutting material in cooperation with the counter construction. The force member includes a profile for taking the material to be cut against the counter construction for cutting the material.