This paper presents a geometric method to distort statically equilibrated structures into new ones where initial parallelism between bars is not maintained. Among other applications, the method helps increase the diversity of irregular self-stressed tridimensional structures. It constitutes a substantial extension to the set of transformations first enunciated by W.J.M. Rankine (stretch, contraction, and skew of equilibriums) since initially parallel bars may here become divergent after transformation. The paper also reviews other existing geometric transformations that maintain static equilibrium of structural systems.