Abstract: A system for pultruding a beam comprises a pulling mechanism continuously pulling on a preform of yarns including a thermoplastic matrix and fibers, the pulling mechanism being downstream of the system. A pultrusion die has a tapering channel portion heated such that the preform is at a desired low viscosity temperature for resin in the thermoplastic matrix to impregnate the fibers. A cooling tube is at a downstream end of the pultrusion die. A cooling module is spaced from the pultrusion die by the cooling tube, the cooling module to cool the cooling tube before the preform reaches the pulling mechanism, wherein the cooling tube defines a cooling channel. A pultrusion mandrel may be present.