Abstract
The angle of seismic excitation has been proven to be an important factor when analysing the 3D behaviour of buildings. However, modern earthquake-related standards only cover partially the effects of this factor and practicable results of relevant studies are still limited. The proposed paper focuses on the determination of the critical angle of incidence based on the building's structural characteristics. An analytical expression is developed to define the critical angle for the case of single storey buildings and a special category of multi storey buildings under constant lateral forces assuming linear elastic behaviour of the structures.
Highlights
In real earthquake events the excitation angle of the seismic action is generally unknown a priori
In the current paper an analytical framework was developed to determine the ASIcrit in single storey buildings and multi-storey buildings with isotropic properties analysed with linear static analysis
Given that past research has shown that each demand parameter obtains its maximum value for a different angle of seismic incidence (ASI), the proposed approach only examined the storey displacements of the structure, including the top displacement, a demand parameter that was found suitable to describe global 3D structural performance
Summary
In real earthquake events the excitation angle of the seismic action is generally unknown a priori. In case the seismic action is represented by timewise non-simultaneous peak values, the combination of the responses of each direction is subsequently performed using well-known directional combination rules (Newmark 1975; Rosenblueth and Contreras 1977) The efficiency of these provisions as well as studies for the determination of the ASIcrit have been extensively addressed by several researchers over the past decades. The author showed that maximum values of each demand parameter are obtained for different ASIscrit Such as for the case of RSA, the determination of the ASIcrit was only achieved after performing preliminary analyses of the structure using the ground motion records under consideration. The proposed approach defines an expression to determine the ASIcrit based only on the geometrical and material characteristics of the building, being independent of the external static loading
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