MODELING THE WORK OF WOODEN ELEMENTS TAKING INTO ACCOUNT THE MOISTURE AND AGE FACTOR BASED ON STATE DIAGRAMS «MOMENT-CURVE»

Abstract

The article presents the modeling of the operation of wooden elements taking into account the moisture factor and age based on the “moment-curvature” state diagrams. The simplification of the nonlinear analysis of rectangular wooden elements under bending loads based on the “moment-curvature” dependence was also considered.

The relevance of the study is associated with the need to improve engineering methods for assessing the strength and stiffness of wooden elements and structures, taking into account the real mechanical behavior of wood. The aim of the work is to determine the characteristic parameters of the limit state of wooden elements taking into account the moisture factor and age, as well as to develop simplified analytical functions that describe the “moment-curvature” diagrams under the above operating conditions. It is shown that the “curvature-moment” dependence for rectangular cross-sections can be effectively approximated by simplified functions suitable for engineering calculations. It is established that for a given wood species, regardless of the size of the element, there is a characteristic point on the moment-curvature diagram that corresponds to the maximum bending moment capacity and critical curvature. This point determines the limit state of the element and can be used to assess the bearing capacity. Simplified functions are proposed that describe the curvature as a function of the bending moment. Coefficients are given for various deciduous and coniferous wood species (pine, larch, spruce, birch, alder, ash) taking into account the moisture content and age of the material. The proposed coefficients allow constructing practical moment-curvature diagrams for various operating conditions depending on the wood species, humidity, and age. The results can be used in the design and numerical analysis of wooden elements and structures, increasing their accuracy in assessing strength and reducing the complexity of the calculation itself.

Keywords: wood, bending, moment-curvature diagram, wooden element, stress-strain state, load-bearing capacity, stiffness, modeling, strength, moisture.