СТАТИЧЕСКИЙ РАСЧЕТ ОДНОПРОЛЕТНОЙ БАЛКИ ПЕРЕМЕННОЙ ЖЕСТКОСТИ МЕТОДОМ ЗАДАННЫХ ДЕФОРМАЦИЙ

Abstract

This article presents a method for static calculation of a single-span beam of variable stiffness, based on the method of specified deformations, in which one of the parameters of the curved axis is used as an external influence, for example, the angle of rotation or curvature in one of the sections, and the equation of the curved axis is solved relative to the load value. When solving problems related to physical nonlinearity, it will be necessary to organize an iterative process, and the use of the method under consideration allows organizing a stable iterative process, which can be used to solve the problems of calculating bending building structures at all stages of their work, including supercritical ones. Based on the presented methodology, an algorithm and a computer program for the static calculation of a singlespan beam of variable stiffness have been developed. The angle of rotation in the reference section is set as the acting parameter on the beam. The results of the calculation of the beam are the magnitude of the load perceived by the beam, deflections, curvatures, stiffness in sections along the entire length of the beam. To test the developed method, three series of single-span hinged beams were calculated, loaded with one concentrated force in the middle of the span, having sections along the length with different bending stiffness of the sections. Analytical and graphical results of the performed calculation are presented.