Generalized Michell structures — exact least-weight truss layouts for combined stress and displacement constraints: Part I — General theory for plane trusses

In Part I of this study, earlier results are briefly reviewed and then general optimality criteria derived for exact leastweight plane truss layouts with combined stress and displacement constraints. Whilst these are necessary conditions for a local minimum with respect toany topology, Part II discusses analytical solutions within agiven two-bar topology for a vertical support and a point load. The latter results are used for verifying the general theory in Part I.