We propose a novel method for designing and optimizing truss-like structures using mathematical optimization. As additive manufacturing continues to advance, innovative structural design methods become increasingly relevant in practical applications. To this end, we present an approach that combines established truss optimization techniques in engineering with technical operations research methods. The model developed is capable of optimizing truss structures while accounting for the effects of moving structural elements under various loading scenarios. The primary objective is to quantify the advantages of dynamic structures over rigid ones in terms of efficiency and effectiveness as well as demonstrate that mathematical optimization is a compelling tool for advanced applications in structural engineering.