Floor diaphragms and a truss method for their analysis

Authors

  • J.M. Scarry John Scarry Engineering, Auckland, New Zealand

DOI:

https://doi.org/10.5459/bnzsee.48.1.41-62

Abstract

Floor diaphragms form a critical component of seismic resistant buildings, but unfortunately, in the main their analysis and design in New Zealand leaves much to be desired. No worse example exists than the CTV Building in Christchurch. Despite the critical importance of diaphragms, there is a paucity of code provisions and design guidance relating to them.

Using generic examples, the author describes a number of common diaphragm design deficiencies. These include diaphragms where valid load paths do not exist; diaphragms where the floors are not properly connected to the lateral load resisting elements, diaphragms that lack adequate flexural capacity and where re-entrant corners are not properly accounted for, and transfer diaphragms into which the reactions from the walls above cannot be properly introduced or transmitted.

Three main types of seismic diaphragm action are discussed – ‘inertial,’ ‘transfer’ and ‘compatibility.’ These are, respectively, the direct inertial load on a floor that must be carried back to the lateral load resisting elements, the transfer forces that occur when major changes in floor area and lateral load resisting structure occur between storeys, and the compatibility forces that must exist to force compatible displacements between incompatible elements, such as shear walls or braced frames and moment frames, or as a result of redistribution.

The author presents a simple Truss Method that allows complex diaphragms to be analysed for multiple load cases, providing accurate force distributions without the multiple models that conventional strut and tie methods would require. Being a type of strut and tie method, the Truss Method is compliant with requirements in NZS3101:2006 [1] to use strut and tie models for the analysis and design of certain aspects of diaphragm behaviour.

References

Standards New Zealand (2006). “NZS3101:2006– Concrete Structures Standard”. Standards New Zealand, Wellington, NZ.

Standards New Zealand (1997). “NZS3404:1997–Steel Structures Standard”. Standards New Zealand, Wellington, NZ.

Bull DK (2004). “Understanding the Complexities of Designing Diaphragms in Buildings for Earthquakes”. Bulletin of the New Zealand Society for Earthquake Engineering, 37(2): 70-88. DOI: https://doi.org/10.5459/bnzsee.37.2.70-88

Moehle J, Hooper J, Kelly D and Meyer T (2010). “NEHRP Seismic Design Technical Brief No. 3 – Seismic Design of Cast-in-Place Concrete Diaphragms, Chords and Collectors”. National Institute of Standards and Technology, MD, USA.

Sabelli R, Sabol T and Easterling W (2011). “NEHRP Seismic Design Technical Brief No. 5 – Seismic Design of Composite Steel Deck and Concrete-filled Diaphragms”. National Institute of Standards and Technology, MD, USA.

Cowie K, Hicks S, MacRae G, Clifton GC and Fussell A (2013). “Seismic Design of Composite Metal Deck and Concrete Filled Diaphragms – A Discussion Paper”. Steel Innovations Conference, Christchurch, NZ, Paper 24.

Cowie KA, Fussell AJ, Clifton GC, MacRae GA and Hicks SJ (2014). “Seismic Design of Composite Metal Deck and Concrete-Filled Diaphragm – A Discussion Paper”. NZSEE Annual Conference, Auckland, NZ.

Uma SR, Zhao JX and King AW (2009). “Floor Response Spectra for Ultimate and Serviceability Limit States of Earthquakes”. NZSEE Annual Conference, Christchurch, NZ.

Scarry JM (2002). “An Open Letter to IPENZ on the Parlous State of the Structural Engineering Profession and the Construction Industry in New Zealand”. First Version.

Scarry JM (2002). “An Open Letter to IPENZ on the Parlous State of the Structural Engineering Profession and the Construction Industry in New Zealand”. Second Version

CSI. “ETABS – A Finite Element Structural Analysis Program for Buildings”. Computers and Structures Inc, CA, USA.

Standards New Zealand (2004). “NZS1170.5:2004 – Structural Design Actions, Part 5: Earthquake Actions – New Zealand”. Standards New Zealand, Wellington.

Gardiner DR, Bull DK and Carr AJ (2008). “Internal Forces of Concrete Floor Diaphragms in Multi-Storey Buildings”. NZSEE Annual Conference, Wairakei, NZ.

Paulay T and Priestley MJN (1992). “Seismic Design of Reinforced Concrete and Masonry Buildings”. John Wiley & Sons. DOI: https://doi.org/10.1002/9780470172841

Wyllie LA and LaPlante RW (2003). “The Designer’s Responsibility for Rebar Design”. Concrete Reinforcing Steel Institute, IL, USA.

Carr AJ. “Ruaumoko – Program for the time history analysis of non-linear two-dimensional structures”. University of Canterbury, Christchurch, NZ.

Carr AJ. “Ruaumoko 3D – Program for the Time History Analysis of Non-linear Three-dimensional Structures”. University of Canterbury, Christchurch, NZ.

Gardiner DR (2011). “Design Recommendations and Methods for Reinforced Concrete Floor Diaphragms Subjected to Seismic Forces”. PhD Thesis, University of Canterbury, Christchurch, NZ.

Engineering Systems. “Microstran Version 9 – A general Structural Analysis Program for Frame and Truss Structures”. Engineering Systems Pty Ltd, USA.

Integrated Technical Software. “SpaceGass Version 11 – A General Structural Analysis Program for Frame and Truss Structures”. Integrated Technical Software Pty Ltd, USA.

Reineck KH (2002). “SP-208 Examples for the Design of Structural Concrete with Strut and Tie Models”. American Concrete Institute, MI, USA.

CSI. “SAP2000 Advanced/Ultimate – A General Finite Element Structural Analysis Program incorporating Non-linear Material Behaviour”. Computers and Structures, Inc, CA, USA.

Downloads

Published

31-03-2015

How to Cite

Scarry, J. (2015). Floor diaphragms and a truss method for their analysis. Bulletin of the New Zealand Society for Earthquake Engineering, 48(1), 41–62. https://doi.org/10.5459/bnzsee.48.1.41-62

Issue

Section

Articles

Categories