Optimum torsion axis to multistorey buildings by using the continuous model of the structure

Abstract

The present article pertains to the definition and properties of the optimum torsion axis of flexural-shear multi-storey systems, employing the continuous model of the structure. It is known that, in the general case of a multi-storey building, it is not possible to define the real vertical elastic axis (as well as the centre of stiffness) of the building. However, in this case it is possible to define the fictitious vertical elastic axis of the building, which plays the same part as the real elastic axis. In the present article, we use the theory of the continuous model of the structure for the definition of the fictitious vertical elastic axis from a closed mathematical equation. The continuous model of the structure surpasses the discrete respective model in the qualitative comprehension of the response of multistorey tall systems. On the contrary, the discrete model surpasses the continuous model in the accuracy of calculations, but in the present article this is of lesser importance than the qualitative comprehension. Consequently, it is proved that the fictitious vertical elastic axis also constitutes the optimum torsion axis of the building, and at the same time the characteristic properties of the axis in question are set off. Copyright © 2004 John Wiley & Sons, Ltd.