Abstract
The classical elastic theory of layered beams is used for the analysis of cross laminated timber (CLT) beams. A brief introduction of the theory is given and followed by examples. The theory of layered beams offers a widely studied, well established method for the analysis the CLT beams including displacements and stresses of each layer of the beam. It is shown that the theoretical basis of the widely used Shear Analogy is the same as the theoretical basis of the theory of layered beams. The results are compared to test results and to results of the finite element calculations. It is seen that the deflections and strains are in 10 % fractals in mean in the considered cases. The theory of layered beams seems to be suitable method in the analysis of the CLT beams at the elastic phase.
Highlights
Cross-laminated timber (CLT) is an innovative engineering wooden panel, made of at least three layers of strength graded boards that are laminated by gluing with structural adhesives
The research question of this paper is to study how well the theory of layered beams simulates the behaviour of the CLT beams
The deflection based on the theory of layered beams is on the safe side in almost all 18 cases
Summary
Cross-laminated timber (CLT) is an innovative engineering wooden panel, made of at least three layers of strength graded boards (typically C14–C30) that are laminated by gluing with structural adhesives. The measurement of the Young’s modulus can be completed by static tension or compression and in bending using the dynamic test as described in Ref. The Gamma Method can be implemented with the Euler-Bernoulli beam element as no shear deformations are considered, but it takes into account them indirectly by calculating the effective bending stiffness based on the efficiency of the connection between the longitudinal layers. This connection is provided by the shear stiffness of the cross-layers. The deflections of all the faces are the same along the beam axis
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