An apparatus for manufacturing wire wrapped screens utilizing a wire and support ribs is provided. The apparatus employs welding pressure control, utilizing a welding device mounted on a support assembly, wherein the support assembly is moveable in relation to a mounting structure and the wire and support rib weld pieces. Welding pressure is determined by a force measurement device, and a control and feedback system adjusts pressure. Mechanical actuator cylinders mounted on the support assembly and the mounting structure provide load balance. A method for making wire wrapped screens is also provided.