Modified shape of the Eiffel Tower determined for an atmospheric boundary-layer wind profile

Abstract

The design and construction of the Eiffel Tower was based, in part, on a uniform horizontal wind model giving 300 kg m−2 kinematic pressure acting on the surface of the tower. Eiffel received a patent for his method of construction that eliminates the need for diagonal trellis bars used to resist the moment of an oncoming wind. At the end of the 19th century boundary-layer theory, laminar or turbulent, was nonexistent. Now, however, models for atmospheric flow over rough landscapes are available, the simplest being a power-law distribution of velocity with height. In this paper we deduce the shape of the tower had Eiffel incorporated this information into the design and construction of his world famous tower. Moreover, we prove Eiffel’s observation that the tower profile conforms to the moment distribution wrought by the wind.