Abstract: A pulp screening assembly where each support ring is weldlessly bonded to a perforate screen section by a bonding material that preferably is a brazing material. There is a joint between each ring and a screen section in which brazing material is disposed. The joint includes at least one set of mating faying surfaces that are offset relative to a longitudinal axis of the screening assembly. In a preferred embodiment, there is a tolerance between mated faying surfaces of no greater than 0.008 inches to ensure a good weldless bond is achieved. In another preferred embodiment, the tolerance is no greater than 0.004 inches. A weldless screen basket is produced having end rings, a plurality of slotted screen sections, and an intermediate ring having slots with back grooves within four millimeters of a ring at each end increasing screening open area.