New analytical benchmarks for topology optimization and their implications. Part I: bi‐symmetric trusses with two point loads between supports

Extending some results by Sokół and Lewiński (Struct Multidisc Optim 42:835–853, 2010), the optimal topology of bi‐symmetric trusses with two symmetrically placed pointloads is determined analytically, and verified by highly accurate numerical calculations. It is rather remarkable that Michell’s best‐known classical solution had to wait over hundred years for its generalization from one to two point loads. Some implications of these solutions, including properties of so‐called O‐regions, are also discussed.