Numerical Analysis of the Stress-Strain State of the Prestressed Prefabricated Reinforced Concrete I-beam as Subject of Mechanics of Deformed Solid Body
V. M. Levina, L. V. Steblyankob
a Donbas National Academy of Civil Engineering and Architecture
b SSL «Evrograd»
Annotation: The article presents the results of analysis of the stress-strain state of prestressed precast reinforced concrete I-beam, the mathematical modeling of which was carried out by means of mechanics of a deformable solid. The long-term deformations preceding loading due to prestressing, elastic-plastic deformation, and the formation of cracks under the main loading are taken into account. Models of material deformation are accepted: before cracking – deformation theory of plasticity of flat-stressed concrete by Kruglov-Kozachevsky (it takes into account the elastic-plastic nature of volumetric and shear deformation) and full deformation diagrams of reinforcement; after crack formation – Karpenko’s model for reinforced concrete (it takes into account such effects as uneven distribution of deformations along the axis of the reinforcing bar crossing the crack, the peculiarities of deformation of the concrete strip between cracks, the pin effect in the reinforcement, the symmetry of the force tensor in reinforced concrete with asymmetric stress tensors in reinforcement and concrete separately, etc.). The method of incomplete discretization is applied in the form of the method of the original Mileikovsky equations; it leads to a boundary value problem for a system of ordinary differential equations of the first order, solved by the highly efficient Godunov method.
Keywords: reinforced concrete I-beam, concrete, reinforcement, stresses, deformations, cracks, creep, elastoplastic deformations, uneven distribution of deformations, loading, and deflection.
Pages: 159-169.
Link for citation: Levin, V. M.; Steblyanko, L. V. Numerical Analysis of the Stress-Strain State of the Prestressed Prefabricated Reinforced Concrete I-beam as Subject of Mechanics of Deformed Solid Body. – Text : electronic. – In: Modern Industrial and Civil Construction. – 2020. – Vol. 16, N 4. – Р. 159-169. – URL: https://donnasa.ru/publish_house/journals/spgs/2020-4/01_levin_steblyanko.pdf (date of access: 19.09.2024). (in Russian)
Vol. 16, N 4 (2020)Journal: Modern Industrial and Civil Construction
Publish house: Donbas National Academy of Civil Engineering and Architecture