The present set of inventions relates to the field of building and in particular to building constructions and to processes for manufacturing building constructions comprising tensioned and non-tensioned tendons and can be used to construct residential, public and office buildings and constructions as well as for reconditioning or restoring the same.The technical result consists of the provision of relatively long-extended constructions or complicated shape constructions working as a single pre-tensioned construction and characterized by high carrying capacity, stability and rigidity.Said technical result is obtained by the fact that in a multi-component building member comprising at least two components and pre-tensioned tendons, each component is made as a tendons module comprising an initial and a final supporting elements with holes for the pre-tensioned tendons and with a stand for placing anchors and tensioning arrangements; and a reinforcing cage located between said supporting elements and comprising an upper and a lower elements in the form of a grid with a cellular structure, the cells having the shape of an equilateral polyhedron, and at least one median element under the form of a space reinforcement structure comprising inclined reinforcement bars forming equilateral polyhedral pyramids oppositely oriented in space, the pre-tensioned tendons of the first component being anchored at the initial and final supporting elements of the same, the pre-tensioned tendons of each following component being anchored at the final elements of the previous and the current components.Said technical result is obtained as well by the fact that in a process for assembling the multi-component building member, the median, the upper and the lower components of the tendons module are preassembled, attached between the initial and the final supporting elements, the tendons are inserted and then pre-tensioned, wherein, starting with the second tendons module of the construction, the anchor of the pre-tensioned tendons is mounted on the final supporting element of the previous tendons module, whereas a tensioning arrangement is mounted on the final supporting element of the pre-tensioned tendons module.