STRESS-STRAIN STATE OF ANNULUS SECTION OF REINFORCED CONCRETE ELEMENTS

Abstract

The paper is devoted to the analytical determination of stress and deformation parameters of reinforced concrete elements of annulus section, including columns, risers, supports, pipes, piles. The exact solution of stress-strain state equations for cross-sections of structures within initial data is performed on the basis of recurrence formula for the integral of differential binominal.To date, there is a fairly wide range of approximate theoretical solutions for complex engineering problems in the design of buildings and structures. In the practice of construction there are spread out elements of round and annulus sections, among which are columns, support risers, pipes and many other structures. The exact solution to the problem of their calculation presents scientific value, movement to the knowledge and can serve as a benchmark for comparison.The aim of the study is to obtain the analytical solution of integral dependencies for determining the stress-strain state of annulus cross-section of elements made of reinforced anisotropic material by the example of reinforced concrete.The calculation of the bearing capacity of normal cross sections of structures made of reinforced anisotropic material involves finding the relationship between load and deformation. At the same time, the maximum on the dependence curve of the "load-curvature" corresponds to the magnitude of the bearing capacity of the structures.For the analytical determination of the bearing capacity of columns, risers, pipes, piles of round or annulus cross-sections, the equations of the stress-strain state provided in the paper can be used. The solution of two equilibrium equations of the sections for three unknowns, for example, the normal force and deformations on the extreme fibers of the cross section, is possible through selection and verification.

The paper presents analytical dependences obtained for the determination of the stress-strain state of reinforced anisotropic elements of annulus cross-section by the example of reinforced concrete in a possible range of changes in the properties of concrete and steel for any stage of structural load.