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2023-10-19
Overview
Multilayer Surfaces Add-on
Theory
Input
Results
Calculation Examples

Cross-Laminated Timber

Model

A slab system is calculated as a continuous beam. This example is described in the reference book [1] in Chapter 11.2 “Slab as Two-Span Beam.”

Example Slab 11.2 LC1
Example Slab 11.2 LC1

The span is 4.5 m in the first panel and 5.2 m in the second panel.

Example Slab 11.2 LC2
Example Slab 11.2 LC2

Constant surface loads of 2 kN/m² are applied in Load Case 1 and 2.5 kN/m² in Load Case 2. In order to keep the self-weight identical to the example in the literature, an additional weight of 1.21 kN/m² is applied in Load Case 1.

The calculation is based on the effective cross-section strip with a width of 1 m. The support is provided by line supports in uZ that are fixed at all three supports. The middle support is also fixed in uX>. Furthermore, a nodal support is arranged there in the Y direction so that the structural system does not become kinematic.

Panel Element

The composition of the panel element is CLT L7s2 (30l – 30l – 30w – 40l – 30w – 30l – 30l).

CLT cross-section
CLT Cross-Section

This results in the following stiffness:

9712 kNm0000000936 kNm000000398 kNm0000021361 kN/m00006603 kN/m0001920000 kN/m00720000 kN/m0106260 kN/m
Stiffness Matrix Example Slab 11.2

The calculation of stiffness is explained in the chapter Stiffnesses for Multilayer Surfaces.

References
  1. Wallner-Novak, M., Koppelhuber, J., & Pock, K. (2013). Brettsperrholz Bemessung, Grundlagen für Statik und Konstruktion nach Eurocode. Vienna, proHolz Austria.
Parent Chapter

Model

Example Slab 11.2 LC2
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Example Slab 11.2