Nonlinear Analysis of Two‐Layered Wood Members with Interlayer Slip

Abstract

The theory is presented for a two‐layered one‐dimensional elastic member acting either as a beam or a beam‐column, including both connector and geometric nonlinearities. This member is capable of having slip at the interface of the two layers and displacements perpendicular to the longitudinal axis of the member that are on the order of magnitude of the depth of the member. The force‐slip relationship for the interlayer connectors is assumed to be nonlinear in accordance with accepted constitutive relationships for nailed joints. An energy approach is employed in the formulation from which the three coupled, nonlinear, ordinary differential equations governing the behavior of the member are derived; the associated boundary conditions are also derived through variational procedures. Tests of two‐layered wood beams and beam‐columns are conducted to verify the theory and very good agreement is achieved for deflections, slip between layers, and normal strains.