Abstract: Assembly to shear rolled sections (11a, 11b) coming from two parallel, adjacent rolling lines, the assembly comprising for each rolling line a feeding unit (13a, 13b), shears (12a, 12b) for shearing to size and a single scrap shears (14) with two pairs of blade-holder elements (15a, 15b) cooperating with the corresponding scrap-conveying channels (23a, 23b), there also being present first switches (20a, 20b) to feed the rolled sections (11a, 11b) alternately towards the the shearing channel (22a, 22b) and towards the scrap-conveying channel (23a, 23b), all the motors being on the same side, the shearing assembly also comprising a cyclone to discharge discards (17) downstream from the scrap shears (14) and comprising, downstream from the scrap shears (14), second switches (21a, 21b) cooperating with the rolled sections respectively (11a, 11b) to feed alternately a double removal channel (24a, 24b) placed downstream.