Tilt and Deflections of Tapered Polygonal Towers

by Ralph J. Pschunder,

Serial Information: Journal of the Structural Division, 1965, Vol. 91, Issue 3, Pg. 151-170

Document Type: Journal Paper

Closure: (See full record)

Abstract: The calculation of the tilt and deflections of a tapered thin-walled tower with circular or polygonal cross section can be reduced to the analysis of a cylinder subjected to the same loading. Compensating factors consider the increase in stiffness of a polygon over that of its inscribed circle and the change in compliance resulting from the taper of the tower. Based on input errors from the assumption of an equivalent mathematical tower model and the uncertainty of material constants, it is felt that classical shell theory is not warranted. The analysis therefore uses the following simplifying assumptions: (1) Thinwall concept; (2) superposition of bending and shear deflections; and (3) membrane analogy in torsion. Shear deflections are defined as a function of the tower taper. Shear form factors are obtained for all polygons. Formulas and compensating factors are presented in tabular or graphical form on the data sheet and permit a simple and efficient calculation of all tower tilts and deflections.

Subject Headings: Displacement (mechanics) | High-rise buildings | Errors (statistics) | Cylinders | Professional societies | Load factors | Stiffening

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