Static Analysis of a Continuous Beam of Variable Stiffness by the Method of Given Deformations.

This article presents a methodology for a static calculation of an uncertain two-span beam of a variable stiffness, based on the method of specified deformations, in which one of the parameters of a curved axis is used as external exposure, for example, curvature in a section on an intermediate support, and the solution of the equated axis is carried out relative to the load size . When solving problems associated with physical non-linearity, the organization of the iteration process is required, and the use of the method under consideration allows you to organize a stable iteration process with which it is possible to solve the problems of calculating uncertain beams at all stages of their work, including crickets. On the basis of the presented methodology, an algorithm and a computer for computers on a static calculation of an uncertain two-span beam variable stiffness have been developed. As the acting parameter, curvature in the section on an intermediate support is set on the beam. The results of calculating the beam are the value of the load perceived by the beam, bending moments, deflection, curvatures, rigidity in the sections in each of the spans of the beam. To test the developed methodology, a computer calculation of unreasonable two-span beams with variable stiffness and various loading schemes was carried out. The analytical and graphic results of the completed calculation are presented.