Construction of a model of equiresistant multispan beams
Abstract
Construction of a model of equiresistant multispan beams
Incoming article date: 27.03.2013Method of successive approximations was used to solve the problem of optimization of multispan continuous beam. Cross section of a beam was a welded I-beam. By the variation of the width of the shelf we ensured that the maximum equivalent stress for energy theory of strength in each section is the same throughout. The solution is made numerically using complex MatLab. Bearing capacity of beams with variable stiffness along the length increased in 2 times in comparison with the beam with constant stiffness and the same mass. The proposed method can be applied to frames, taking into account the contribution of longitudinal forces in the equal stresses. Another effective way to change stiffness is to change the height of the wall of I-beam. In practice curvilinear shape of beams or shelves are not used because of complexity of manufacturing. They are replaced by the discrete form of cross section.
Keywords: multispan beams, work method, optimization, uniform strength, welded I-beam, variable stiffness