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Bulletin of Earthquake Engineering

, Volume 17, Issue 1, pp 313–336 | Cite as

An investigation of P-delta effect in conventional seismic design and direct displacement-based design using elasto-plastic SDOF systems

  • Nasir Pourali
  • Horr KhosraviEmail author
  • Mehdi Dehestani
Original Research
  • 88 Downloads

Abstract

The seismic responses of structures are always influenced by P-Δ effects. The significance of this effect may be negligible when the structure responds elastically but is very important when the structure responds into inelastic range. The P-Δ effect usually increases the displacement response of structures. It may even cause dynamic instability when the structure subjected to severe earthquake ground motions. In conventional seismic design codes, the P-Δ effect usually leads to an increase in design base shear. The same approach is used in direct displacement-based design. Various researchers have proposed different relationships for base shear increase which can be used in different seismic design approaches such as force-based design and performance-based design. In this paper, the proposed expressions are reviewed extensively and their adequacy is evaluated by detail. Then two main purposes are pursued: (1) the development of new expressions for strength amplification factor due to P-Δ effect for current force-based design seismic codes; and (2) the modification of equivalent viscous damping or the required additional base shear considering the P-Δ effect in direct displacement-based design procedure. For this purpose, a new algorithm based upon elasto-plastic SDOF system analyses is presented. The algorithm is implemented 102,500 times overall for different periods, ductility levels, stability indices and different earthquake ground motions that each implementation needs a large amount of trial and error process in linear and nonlinear SDOF systems. The results seem to present a good development of the P-Δ effect relations for the seismic design procedures.

Keywords

P-delta effect Direct displacement-based design Performance based design Force-based design Seismic design codes Nonlinear dynamic analysis 

Notes

Acknowledgements

The authors are grateful to anonymous reviewers whose encouragements and valuable comments lead to an improvement in this paper.

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of Civil EngineeringBabol Noshirvani University of TechnologyBabolIran

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