A sway brace attachment for firmly connecting to a beam and other flanged structures, and a method for manufacturing the sway brace attachment. The sway brace attachment includes a main body and an insert that is captured within the main body by a pair of set screws which also engage the flange. Preferably, a third set screw is supported by the main body and engages the opposite side of the flange from the pair of set screws. The main body can be generally rectangular in shape, with a top wall, a pair of side walls extending from the top wall and a pair of bottom walls, which extend inwardly from respective side walls in an overlapping relationship. The sway brace attachment can be used for bracing pipes and other loads, suspended below ceilings and floors, against sway and seismic disturbances.