This paper describes the analysis and design of a self-supporting steel transmission tower utilizing a full-size computer in combination with a programmable desk calculator. The tower has only three legs and all its members are composed of angles. A different orientation of the leg angles has been proposed, which avoids the difficulties experienced previously in the fabrication of such three-legged towers while retaining the full benefit of their lesser weight as compared to classical, four-legged towers. A comparison was made by the authors between a high quality existing design of a four-legged tower and a three-legged tower using the same main geometrical and loading parameters. A saving in steel weight of 13.9% resulted when using a three-legged tower as compared with a four-legged type.