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Seismic Assessment of a Structure – Fundamentals (Direct Displacement Based Design)

12/07/2018 2 comments

Introduction:

  • I’m trying to get my head around some seismic design for the building I’m working on. I’ve done a bit of reading – here is a quick description of my understanding so far, anybody else done any seismic and can collaborate? Any thoughts or corrections?

Assumption:

  • EQUAL DISPLACEMENT RULE. (total displacement of an element is roughly the same whether you treat it as fully elastic or non-linear) – proven empirically but the theory is that energy is dissipated when a material yields and therefore the demand on the element is reduced.

Graph:

1Process:

Elastic Model (or elastic calcs) – FORCE BASED DESIGN (what we are used to):

  • Input: Apply seismic loading
  • Output: Displacements and stresses
  • Compare displacements to SLS criteria (eg inter storey drift max = 0.015 x storey height)
  • Check materials can withstand the stresses (in the example in the graph, it will fail)

 

  • However the results may not be truthful to how the material/structure will actually behave – you may be in the plastic zone and as a result, overestimating the stress in the material. There are factors you can apply to bring the stress down but a more accurate approach is to use DIRECT DISPLACEMENT BASED DESIGN

 

Inelastic model (or non-linear calc iterations) – DISPLACEMENT BASED DESIGN:

  • Input: Displacement – input the displacement our elastic model gave us (equal displacement rule). (if you are designing a new build then set your target displacement and start here). The target displacement is then sub divided to create start and end points for each stage of analysis.
  • Iterations must be conducted in order to find the critical mode of deformation.
  • Output: Stresses
  • Check materials can withstand the stresses (in the example above, it will now pass (permanent damage but no collapse))

Other:

  • When setting up the model, applying high levels of fixity at connections is conservative (the opposite to what I think is intuitive) because:

2

Summary:

  • Force based design does not allow an accurate estimation of stresses within a structure for material that is beyond yield. Direct displacement based design allows for a more accurate estimate because displacements are more proportional to non-linear behaviour/energy dissipation?
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