introducedin order to overcome problems stemming from the complex nature of the total potential energy function. Important features of the formulation include an accurate mathematical representation of the deformed state of the structure and the use of direct potential energy minimisation on a local, member by member basis. Chapter 5 describes a computer implementation of the proposed technique and presents the results of a number of evaluative tests. The construction and testing of a skeletal dome of sixteen foot span is described in chapter 6 and a comparison of the observed behaviour of the dome with that predicted by theoretical analyses is presented. Concluding remarks and suggested improvements and extensions are contained in chapter 7.