A structural system comprised of prefabricated deck units spaced along longitudinal load-carrying members, which produce longitudinal axial compression in deck units by tensioning the longitudinal load-carrying members without the use of standard post-tensioning details. During construction, prefabricated deck units are erected on top of and supported by the longitudinal load-carrying members via leveling devices, which also permit relative motion between the longitudinal load-carrying members and the prefabricated deck units. Jacking apparatuses are used to introduce deck compression by jacking against the longitudinal load-carrying members. This system can be used for new structures and for deck replacement of existing structures.