The Eurasia Proceedings of Science Technology Engineering and Mathematics

Abstract

Frame structures are vulnerable to seismic impacts. The frame joint is the element that is often responsible for compromising frame structures. In recent years, shear force in the beam-column connection has been pointed out as the main culprit for damage in the nodes, and from there to the entire structure. The complex nature of the stressed and strained state of the joint is due to the poor knowledge of the forces passing in the beam-beam or column-column direction. For their more accurate determination, one departs from the standard acceptance of the static scheme of the axis line of the structural elements and works with their actual dimensions. With a skillful selection of the support devices, a mathematical model of the beam is created, allowing the determination of the forces that arise along its height and that enter the joint. The magnitudes of the support reactions of the beam are applicable both to operation in the elastic stage and to the plasticization of the beam and the occurrence of a crack between the beam and the column on the face of the column. In the present work, a cantilever beam loaded with a transverse force, occupying different possible positions on the beam, is considered. The expressions for the support reactions are derived. The unfavorable position of the loading force, which results in the greatest shear force, was investigated. A comparison is made of the corresponding shear force in the beam-to-column connection, with that recommended in the literature. The results demonstrate differences of up to 18.20%. The main parameters of the cantilever beam that were monitored are crosssectional shape, modulus of elasticity of concrete and position of the loading force.