A feed/clamp apparatus includes a feed vise mechanism provided upstream from a cutting position, and a downstream vise mechanism provided just downstream from the cutting position. The feed vise mechanism includes first/second feed vise jaws, a downstream moving cylinder for moving the first feed vise jaw, and a downstream shifting cylinder for shifting the second feed vise jaw. The downstream vise mechanism includes first/second downstream vise jaws, a downstream moving cylinder for moving the first downstream vise jaw, and a downstream shifting cylinder for shifting a second downstream vise jaw. A vise surface of the second downstream vise jaw is located on one side of the vise reference position when the downstream shifting cylinder is located its stroke end on the one side. A thrust force of the downstream shifting cylinder toward the one side is made equal to a thrust force of the downstream moving cylinder toward another side.