An analytical matrix approach for the prediction of the elastic lateral displacements of CLT platform-type lateral load resisting systems

This study presents an analytical method for the elastic lateral displacement calculation of platform-type cross laminated timber (CLT) lateral load resisting systems using a matrix approach. The current state-of-the-art models for lateral deflection calculation of single- and multi-panel CLT shear-walls systems were extended from single-storey cases to generalized multi-storey multi-panel CLT shear-wall systems. The proposed calculation method was validated against tests on twelve single-storey shear-walls and one two-storey shear-wall from four previously conducted experimental campaigns. The 2D lateral displacement analytical calculation model was then further expanded to the 3D application for CLT lateral load resisting systems through a matrix approach. The matrix method was verified against an analytical-numerical comparison on two case studies. The proposed analytical model forms a solid foundation for a potential implementation of this lateral deflection model for CLT shear-wall systems in the next generation of standards such as Eurocode 5 and CSA O86.