A tensioned construction beam comprises a main longitudinal body defining a beam length and opposite longitudinal ends. The main longitudinal body includes a tubular part extending along the beam length and defining a cavity therein that is circumscribed by an inner wall of this tubular part. One or more steel cables extend within the cavity along the beam length and are embedded therein via grout filling the cavity. The one or more steel cables have been submitted to a tension force prior to being embedded and released from this tension force such that the tension force is applied to the main longitudinal body.