Structures are provided with rigid elements connected together by interconnecting elements in such a way to form a statically determined or statically over-determined structure. The structure includes at least one tension element formed of polymeric fibers having a stabilizing creep of at least 0.3% and at most 10% and a minimum creep rate lower than 1×10−5% per second, wherein the said stabilizing creep and minimum creep are measured at a tension of 900 MPa and a temperature of 30° C. The structures may include, for example, framing structures (e.g., a space frame), suspended bodies, platforms, (e.g., a marine platform), or spoked wheels.