Elastic Embedded Displacenents of Orthotropic Wood With a Finite Length Based on Pasternak Model

Review on the mechanical models and formulations of embedment of traditional timber joints in Japan

“…For the formulation of the stiffness increasing effect, one approach is the experimental procedure and the other is the theoretical procedure based on the mechanical models in chapter 3. The stiffness increasing factors in the elastic stage are summarized in the following sections, and the proposed formulas are summarized in Table , where the allowable stress increasing factor and the embedment force increasing factor carry the same meaning. Each formula is expressed by the loading length ratio and the end length ratio , which are expressed by different parameters in the original paper.…”

“…Tanahashi et al extended Pasternak Model to the orthotropic wood of infinite length and then, finite length in Figure and analyzed the governing Equations () of the surface displacement W and obtained the solutions () and ().…”

“…In recent decades in Japan, seismic performance evaluation methods of traditional timber buildings have been actively researched by several institutions and researchers, and useful developments have been obtained to evaluate the seismic performances of traditional timber joints . Some of these studies are related to the mechanical models and formulations of the embedment of column‐ Nuki (tie beam penetrating a column) joints …”

“…As for the mechanical model of the embedment of joints, the mechanism of embedment of joints is primarily owing to the partial compression on continua . An analysis of the partial compression on continua has special difficulties owing to continua.…”

“…In particular, an embedment curve outside the contact area between a beam and a column of a joint is a key point of the embedment. In relation to the partial compression on continua, some suitable mechanical model is required for the formulation of embedment resistances …”