Disclosed is a support structure comprising a tension-compression element (1) which is composed of tension-compression bars (2) that are connected in real joints (3) as well as tension straps (4) that extend from one joint (3) to another (3). The outermost tension-compression bars (2) are connected in one respective knot (9). Two pressurized hollow members that are surrounded by a cover (6) are arranged on both sides of a plane that extends through the tension-compression element (1) such that the linear tensions σ generated in the cover (6) preload the tension straps (4) on the plane of the tension-compression element (1), secure the tension-compression bars (2) against bending, and stabilize the joints (3). The linear tensioning components that extend perpendicular to said plane of symmetry strut the tension-compression element (1) against lateral bending. Air-tight, optionally elastic pneumatic elements (7) can be inserted into the hollow members (5).