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Enhanced effective thickness model for buckling of LG beams with different boundary conditions

  • Gianmaria D’Ambrosio
  • Laura GaluppiEmail author
Research Paper

Abstract

Because of their characteristic high slenderness ratios, laminated glass elements are frequently subjected to buckling phenomena. Here, simple analytical formulae for the evaluation of the effective thickness for the compressive buckling verification of laminated glass beams are proposed, based on the Enhanced Effective Thickness model, widely used for the design of laminated glass. The model applies also to multilaminates. Tables for the calculation of the relevant coefficients in the most common cases have been added for ease of reference and to facilitate the practical use. Comparison with numerical results, performed by considered paradigmatic cases, confirm the accuracy of the proposed formulae.

Keywords

Laminated glass Buckling verification Effective thickness 

Notes

Acknowledgements

The authors acknowledge the support of the Italian Dipartimento della Protezione Civile under project ReLUIS-DPC 2018-2020.

Compliance with ethical standards

Conflict of interest

There are no conflict of interest to declare.

References

  1. ABAQUS. Analysis users manual, version 6.12. Simulia, (2012)Google Scholar
  2. Amadio, C., Bedon, C.: Buckling verification of laminated glass elements in compression. J Civ Eng Sci 1(3), 90–101 (2012)Google Scholar
  3. Amadio, C., Bedon, C.: A buckling verification approach for monolithic and laminated glass elements under combined in-plane compression and bending. Eng Struct 52, 220–229 (2013)CrossRefGoogle Scholar
  4. ASTM E-1300: Standard practice for determining load resistance of glass in buildings. Technical report, (2012)Google Scholar
  5. Calderone, I., Davies, P.S., Bennison, S.J., Xiaokun, H., Gang, L.: Effective laminate thickness for the design of laminated glass. In : Proceedings of Glass Performance Days, Tampere (FIN), pp. 12–15, (2009)Google Scholar
  6. CEN/TC 250. prCEN/TS xxxx:2018 - Structural glass— Design and construction rules. (2018)Google Scholar
  7. Galuppi, L., Royer-Carfagni, G.: Effective thickness of laminated glass beams: new expression via a variational approach. Eng Struct 38, 53–67 (2012)CrossRefGoogle Scholar
  8. Galuppi, L., Royer-Carfagni, G.: The effective thickness of laminated glass plates. J Mech Mater Struct 7(4), 375–400 (2012)CrossRefGoogle Scholar
  9. Galuppi, Laura, Royer-Carfagni, Gianni: The effective thickness of laminated glass: inconsistency of the formulation in a proposal of en-standards. Compos. Part B: Eng 55, 109–118 (2013)CrossRefGoogle Scholar
  10. Galuppi, L., Royer-Carfagni, G.: Buckling of three-layered composite beams with viscoelastic interaction. Compos Struct 107, 512–521 (2014)CrossRefGoogle Scholar
  11. Galuppi, L., Royer-Carfagni, G.: Enhanced effective thickness of multi-layered laminated glass. Compos Part B-Eng 64, 202–213 (2014)CrossRefGoogle Scholar
  12. Galuppi, L., Manara, G., Royer-Carfagni, G.: Practical expressions for the design of laminated glass. Compos Part B-Eng 45, 1677–1688 (2013)CrossRefGoogle Scholar
  13. López-Aenlle, M., Pelayo, F., Ismael, G., Prieto, M.A.G., Rodríguez, A.M., Fernández-Canteli, A.: Buckling of laminated-glass beams using the effective-thickness concept. Compos Struct 137, 44–55 (2016)CrossRefGoogle Scholar
  14. National Research Council (Italy). CNR-DT 210: Guide for the Design, Construction and Control of Buildings with Structural Glass Elements. (2013)Google Scholar
  15. Norville, H.S., King, K.W., Swofford, J.L.: Behavior and strength of laminated glass. J Eng Mech-ASCE 124(1), 46–53 (1998)CrossRefGoogle Scholar
  16. Nunziante, L., Gambarotta, L., Tralli, A.: Scienza delle costruzioni. McGraw-Hill, New York (2008)Google Scholar
  17. prEN 16612: Glass in building—determination of the lateral load resistance of glass panes by calculation. Standard, CEN/TC 129, (2016)Google Scholar
  18. Wölfel, E.: Nachgiebiger verbund - eine näherungslösung und deren anwendungsmöglichkeiten. Stahlbau 6, 173–180 (1987)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Engineering and ArchitectureUniversity of ParmaParmaItaly

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