Machines and methods capable of producing diced products from a variety of materials. Such a machine includes a knife adapted to slice food product to produce slices, a circular cutter comprising knives that are adapted and arranged to cut the slices into strips, a cross-cutter comprising knives that are adapted and arranged to produce a cross-cut in the strips, and a shear plate that is at least partially between the circular cutter and the cross-cutter. The shear plate defines a first shear edge in proximity to the knives of the cross-cutter and is adapted to ensure dicing of the strips received by the cross-cutter from the circular cutter. A support bar supports the shear plate, and a feature is provide for adjusting the proximity of the first shear edge relative to the knives of the cross-cutter.