A support structure including a tension-compression element is composed of tension-compression bars that are connected in real joints as well as tension straps that extend from one joint to another. The outermost tension-compression bars are connected in one respective knot. Two pressurized hollow members that are surrounded by a cover are arranged on both sides of a plane that extends through the tension-compression element such that the linear tensions σ generated in the cover preload the tension straps on the plane of the tension-compression element, secure the tension-compression bars against bending, and stabilize the joints. The linear tensioning components that extend perpendicular to said plane of symmetry strut the tension-compression element against lateral bending. Air-tight, optionally elastic pneumatic elements can be inserted into the hollow members.