MODELING OF WORK OF THE WOODEN BEAM WITH CONSEQUENTIAL LOADING

Abstract

A detailed analysis of domestic and foreign publications on this issue, as well as building codes of different countries. After reviewing the sources, the main objectives of this article are set. 
 The sequence of calculation of wooden beams with sequential loading is offered. Modeling of the element consists of the following stages: step-by-step determination of internal forces acting depending on the external load; establishment of stress-strain state in different cross-sections, namely curvature, position of the neutral line, determination of deformations, internal stresses at any point of the stretched and compressed zone; use of the curvature diagram to determine the rotation of the bending wooden element; construction of deviations of a bending element from initial position; search for maximum tangential stresses that may occur in different sections along the length of the beam. 
 Two methods can be used to determine the rotation of the beam: the first option is the finite element method, breaking the bending element into a finite number of elements and determining the rotation of each of them; the second is to integrate the curvature change function along the length of the beam. 
 The basic calculation schemes of wooden beams are given and the plots of stresses of their change of the neutral line are constructed. 
 The stress-strain state of such elements in different cross sections is established. A method for determining the maximum tangential stresses is proposed. The method of finding deflections is given. A method for finding the curvature of the elements is proposed. 
 The tasks for further research on this issue are given.