Abstract
This chapter focuses on the static analysis of unguyed towers. The numerical method applied to the analysis of suspension cables also has application to stiffer forms of construction. The unguyed tower or stack is an important form of any structure. The towers can be of quite general section variation with height, and the analysis can account for self-weight as well as general vertical and horizontal imposed loading. Methods of analysis more accurate than the usual linear-elastic procedures are necessary for these structures if the designer is concerned with their overload capacity. The base moment is indeterminate in a second-order analysis, and the numerical method involves Newtonian iteration to find the value of the base moment and the deformed shape of a tower under static loading. The method involves a two-stage discrete element representation of an actual column and is not limited to small or finite deformations but can predict the grossly deformed post-buckling shapes for loads above the critical values. Curves of the elastica type can be produced readily for nonuniform columns subjected to any combinations of concentrated and distributed axial loading. Critical loads can then be predicted with some assurance that the least such load has been found for a given column and load arrangement.
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