Determining the K factors for Lateral-torsional buckling in Timber construction

Hi! I am writing a research paper about lateral-torsional buckling with timber structures and I had a question about a topic discussed on your website: Lateral-Torsional Buckling in Timber Construction | Theory.

In this article, the formula for the Effective Length Considering Elastic Rotational Spring, Restraint, or Member Elastic Foundation is given, this formula is from the German national annex so I'm unfamiliar with it.

In the factors alpha and beta are the springs/foundations Ky, KG and Ktheta. I am wondering how these are determined.

Since Ky is measured in N/mm2 it seems like it's an elastic foundation over the entire length of the beam (N/mm / mm). In my case I am looking at prefabricated roof elements, so Ky would be the battens, fastened at the top of the beam. I would expect a different behaviour from multiple lateral springs with a stiffness in N/mm compared to an elastic foundation over the entire length of the beam.

Moreover, calculating the stiffness of the batten (or rather its staple connection which seems to be authorative) is another question in itself.

I hope you could share some insight in how these springs/foundations should be approached within the framework of roof elements.

Thank you in advance.

For reference

Hi JElling,

thank you for your question.

There is another article listed by the one you mentioned.

https://www.dlubal.com/en/support-and-learning/support/knowledge-base/001669

In this one is the determination of the springs/foundation explained.

Another helpful article can be found in the net here.

https://informationsdienst-holz.de/publikationen/4-holzbau-statik-aktuell/stahltrapezelemente-zur-aussteifung-hoelzerner-dachkonstruktionen

I appologize it is only in german but the equations in the PDF that you can download there are hopefully self explaining.

If you like to regard battens the most simple way is to calculate an Equivalent force. I attached a small Excel Sheet and further literature for it.

A more detailed modelling of course would also be possible, where the battens are directly modelled in a 3D model.

I hope this answers your questions. Let me know if you have any others and I`ll be happy to help.

Best regards
Bastian Kuhn

Summary.pdf (256.0 KB)
Ersatzlast.zip