A method of the manufacture of a load-carrying tube-shell, comprising the steps of coating a core with a rubber-like material having mutually crossing slots, laying spiral and annular crossing strips of unidirectional filaments impregnated with a polymeric binder down into the slots to form a framework of cellular structure, applying forming elements thereto, and heat-treating thereof followed by removing the core and the rubber-like coating, characterized in that intermediate forming elements in the form of continuous strips of resilient-elastic material are introduced between the layers of systems defined by the spiral and annular crossing strips when laying them down along predetermined directions, said continuous strips being placed beneath the strips of unidirectional filaments thus laid down, and further including the step of covering the framework with outer forming elements made in the form of filaments disposed at an angle of 80.degree. to 90.degree. with respect to the axis of symmetry of the core.