Stress-strain state of bending reinforced beams with cracks
The work is dealing with studying the stress-strain state of bending pre-stressed concrete beams with cracks. The problems of determining preliminary stresses in a reinforced concrete element, determining the moment of crack formation, and determining the stress in a section with a crack are success...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Peter the Great St. Petersburg Polytechnic University
2020-09-01
|
| Series: | Инженерно-строительный журнал |
| Subjects: | |
| Online Access: | https://engstroy.spbstu.ru/en/article/2020.97.1/ |
| _version_ | 1818725436373336064 |
|---|---|
| author | Omirkhan Khabidolda Syrlybek Zholmagambetov Irina Kurokhtina Zhmagul Nuguzhinov Nikolai Vatin Zhetpisbai Bakirov |
| author_facet | Omirkhan Khabidolda Syrlybek Zholmagambetov Irina Kurokhtina Zhmagul Nuguzhinov Nikolai Vatin Zhetpisbai Bakirov |
| author_sort | Omirkhan Khabidolda |
| collection | DOAJ |
| description | The work is dealing with studying the stress-strain state of bending pre-stressed concrete beams with cracks. The problems of determining preliminary stresses in a reinforced concrete element, determining the moment of crack formation, and determining the stress in a section with a crack are successively solved. The problems were solved for a general section with the vertical axis of symmetry, taking into account the non-linear relationship between strain and stress in concrete. The resolving system of two transcendental algebraic equations is obtained from the equilibrium conditions of a part of the beam on one side of the section with a crack. Analytical expressions have been obtained for determining preliminary stresses, the external bending moment at which a crack normal to the axis appears, as well as the stress state parameters in the section with a crack, including the crack height. The results obtained make it possible to predict the bearing capacity of reinforced concrete structures at the design stage by two groups of limiting states, and to evaluate the real technical condition of the structures in operation. These results can be used to determine the parameters of fracture mechanics and evaluate crack resistance of a reinforced concrete beam. |
| first_indexed | 2024-12-17T21:42:17Z |
| format | Article |
| id | doaj.art-710f8c0acb0745c3be6a8bf193ff9b0c |
| institution | Directory Open Access Journal |
| issn | 2071-0305 |
| language | English |
| last_indexed | 2024-12-17T21:42:17Z |
| publishDate | 2020-09-01 |
| publisher | Peter the Great St. Petersburg Polytechnic University |
| record_format | Article |
| series | Инженерно-строительный журнал |
| spelling | doaj.art-710f8c0acb0745c3be6a8bf193ff9b0c2022-12-21T21:31:35ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-03052020-09-019759701970110.18720/MCE.97.1Stress-strain state of bending reinforced beams with cracksOmirkhan Khabidolda0https://orcid.org/0000-0001-7909-7201Syrlybek Zholmagambetov1https://orcid.org/0000-0002-9282-3498Irina Kurokhtina2https://orcid.org/0000-0002-8367-7636Zhmagul Nuguzhinov3https://orcid.org/0000-0002-0252-2115Nikolai Vatin4https://orcid.org/0000-0002-1196-8004Zhetpisbai Bakirov5https://orcid.org/0000-0002-4176-4547al-Farabi Kazakh National UniversityKaraganda State Technical UniversityKaraganda State Technical UniversityKazakhstan Multidisciplinary Institute of Reconstruction and Development Republican State Enterprise on the Right of Economic UsePeter the Great St. Petersburg Polytechnic UniversityKaraganda State Technical UniversityThe work is dealing with studying the stress-strain state of bending pre-stressed concrete beams with cracks. The problems of determining preliminary stresses in a reinforced concrete element, determining the moment of crack formation, and determining the stress in a section with a crack are successively solved. The problems were solved for a general section with the vertical axis of symmetry, taking into account the non-linear relationship between strain and stress in concrete. The resolving system of two transcendental algebraic equations is obtained from the equilibrium conditions of a part of the beam on one side of the section with a crack. Analytical expressions have been obtained for determining preliminary stresses, the external bending moment at which a crack normal to the axis appears, as well as the stress state parameters in the section with a crack, including the crack height. The results obtained make it possible to predict the bearing capacity of reinforced concrete structures at the design stage by two groups of limiting states, and to evaluate the real technical condition of the structures in operation. These results can be used to determine the parameters of fracture mechanics and evaluate crack resistance of a reinforced concrete beam.https://engstroy.spbstu.ru/en/article/2020.97.1/reinforced concretebeambendingstress statecrackpre-stressingphysical nonlinearityreinforcementbearing capacityultimate state |
| spellingShingle | Omirkhan Khabidolda Syrlybek Zholmagambetov Irina Kurokhtina Zhmagul Nuguzhinov Nikolai Vatin Zhetpisbai Bakirov Stress-strain state of bending reinforced beams with cracks Инженерно-строительный журнал reinforced concrete beam bending stress state crack pre-stressing physical nonlinearity reinforcement bearing capacity ultimate state |
| title | Stress-strain state of bending reinforced beams with cracks |
| title_full | Stress-strain state of bending reinforced beams with cracks |
| title_fullStr | Stress-strain state of bending reinforced beams with cracks |
| title_full_unstemmed | Stress-strain state of bending reinforced beams with cracks |
| title_short | Stress-strain state of bending reinforced beams with cracks |
| title_sort | stress strain state of bending reinforced beams with cracks |
| topic | reinforced concrete beam bending stress state crack pre-stressing physical nonlinearity reinforcement bearing capacity ultimate state |
| url | https://engstroy.spbstu.ru/en/article/2020.97.1/ |
| work_keys_str_mv | AT omirkhankhabidolda stressstrainstateofbendingreinforcedbeamswithcracks AT syrlybekzholmagambetov stressstrainstateofbendingreinforcedbeamswithcracks AT irinakurokhtina stressstrainstateofbendingreinforcedbeamswithcracks AT zhmagulnuguzhinov stressstrainstateofbendingreinforcedbeamswithcracks AT nikolaivatin stressstrainstateofbendingreinforcedbeamswithcracks AT zhetpisbaibakirov stressstrainstateofbendingreinforcedbeamswithcracks |