A scrap shearing machine includes a straight-blade shear-stand, an open-wide feed channel, a side hydraulic ram for squashing a metal scrap sideways in the feed channel, and a feeder for feeding the squashed metal scrap into the mouth of the shear-stand. In order to squash a long-rigid metal scrap by relatively small drive force, the side ram is adapted to squash the scrap sideways only at a certain limited section which is shorter than the overall length of the scrap in the longitudinal direction of the feed channel. A downward hydraulic ram is associated with the side ram and is adapted to downwardly squash the scrap only at the limited section prior to squashing operation of the side ram. A control unit controls the respective drive systems of the shear-stand, the feeder, the side ram, and the downward ram, in a predetermined operation sequence.