Optimal design of transmission towers by dynamic programming

Abstract Dynamic programming has been found a useful technique for the synthesis of optimal layouts for braced frameworks, provided that the interconnection between different parts of the structure is relatively simple. Its application to real structures has been explored by a study of the optimal design of the steel towers used to carry overhead lines. Many practical features complicate the problem, and make it inaccessible to classical techniques such as the theory of Michell structures. There are strong geometric constraints on layout, and yet many topologically distinct possible configurations, there are several alternative loadings to be taken into account, and in addition the design of many of the bars is constrained by buckling rather than by a fixed allowable stress level. It has proved possible to include these and similar factors in a computer program which uses dynamic programming to synthesise optimal designs. The program generates designs significantly lower in weight than existing designs.