Two different procedures of construction are introduced: the traditional sequence and the new sequence. The traditional sequence consists in a first casting phase that is formed by the lower slab and webs and a second casting phase that is formed by the top slab of the deck. Once the first and second casting phases are completed, the total prestressing force is introduced. The new sequence consists in a first casting phase or selfsupporting core that is formed by the lower slab, webs and top slab cantilevers and a second casting phase that is formed by the central zone of the top slab. Once the self-supporting core is completed, a partial prestressing force is introduced so that the scaffolding can advance to the next span. This paper studies if the new sequence is competitive in order to construct viaducts by comparing internal forces and stresses between the traditional sequence and the new sequence. The results confirm that the new sequence is competitive and some issues related to it to date can be solved or ignored.