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Effect of Beam Rigidity on the Lateral Stiffness of a One-Storey Frame

  • Meziane Chalah
  • Farid Chalah
  • Salah Eddine Djellab
  • Djillali Benouar
Chapter
  • 60 Downloads
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 124)

Abstract

The present work deals with the effect of beam to column rigidity ratio on the lateral stiffness of a frame. This investigation is relative to the case of a one-storey one-bay frame. The displacement method is used to formulate the global stiffness matrix of the frame. The treated problem consists of applying a lateral force at the storey to obtain its displacement and deduce the lateral stiffness. It is found that the lateral stiffness of the frame is greatly influenced by the beam to column rigidity ratio. A high value of the latter makes the overall stiffness corresponding to the sum of each column’s stiffness. For intermediate values, the influence of the beam becomes important and must be considered in the structural analysis. For very lower values, the columns behave as hinged at their top. The provided plotted curves allow finding the lateral stiffness for different base boundary conditions of the columns.

Keywords

Lateral stiffness Column stiffness Beam rigidity Single-span Lateral force 

References

  1. 1.
    Opinion, J., Rico, V., Guardado, M., Boyajian, D., Zirakian, T.: SEE laboratory: single-story, single-bay portal frame. J. Civ. Eng. Arch. 11 (2017).  https://doi.org/10.17265/1934-7359/2017.05.004
  2. 2.
    Megson, T.H.G.: Structural and Stress Analysis. Arnold [u.a.], London (1996)Google Scholar
  3. 3.
    Caterino, N., Cosenza, E., Azmoodeh, B.M.: Approximate methods to evaluate storey stiffness and interstory drift of RC buildings in seismic area. Struct. Eng. Mech. 46, 245–267 (2013).  https://doi.org/10.12989/sem.2013.46.2.245CrossRefGoogle Scholar
  4. 4.
    Hosseini, M., Imagh-e-Naiini, M.R.: A quick method for estimating the lateral stiffness of building systems. Struct. Des. Tall Build. 8, 247–260 (1999).  https://doi.org/10.1002/(SICI)1099-1794(199909)8:3%3c247:AID-TAL126%3e3.0.CO;2-KCrossRefGoogle Scholar
  5. 5.
    Eroğlu, T., Akkar, S.: Lateral stiffness estimation in frames and its implementation to continuum models for linear and nonlinear static analysis. Bull. Earthq. Eng. 9, 1097–1114 (2011).  https://doi.org/10.1007/s10518-010-9229-zCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Meziane Chalah
    • 1
  • Farid Chalah
    • 1
  • Salah Eddine Djellab
    • 1
  • Djillali Benouar
    • 1
  1. 1.Faculty of Civil EngineeringUsthbAlgiersAlgeria

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