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What are the stiffness reduction factors k33 and k88 in RF‑LAMINATE?

Answer

These factors reduce the torsional stiffness D33 as well as the shear stiffness D88 of the corresponding stiffness matrix elements of a surface. Since cross-laminated timber is generally not glued at the narrow side, it is also not possible to transfer shear stresses to the timber narrow sides. Thus, the stiffness would be overestimated in this case. For this reason, the stiffness must be reduced accordingly.

Some manufacturers have already provided us these values when delivering the layer structures. They result from the internal analysis. The explanation for determining the correction factors is covered in [1]. The analysis of this work has also been included in the Austrian Annex to EN 1995‑1‑1 [2]. The result is shown in Figure 02. The ratio of the timber width (a) to the timber thickness (ti) can be taken from the respective approval. Under "Downloads" you will find an Excel file with the stored formulas.

Keywords

Torsional stiffness Shear stiffness D33 D88 k33 k88

Reference

[1]   Silly, G. (2010). Numerische Studien zur Drill- und Schubsteifigkeit von Brettsperrholz (BSP). Graz: Technische Universität Graz.
[2]   Eurocode 5: Design of timber structures - Part 1-1: General - Common rules and rules for buildings - Consolidated version with national specifications, national comments and national supplements for the implementation of OENORM EN 1995-1-1, ÖNORM B 1995-1-1:2015-06-15

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  • Updated 5 April 2021

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