Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane
The work of a reinforced concrete beam resting on an elastic foundation is considered. The strength characteristics of the beam materials - concrete and reinforcement - are considered as random normally distributed quantities. The parameters of the distribution of the probability density of the init...
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| Format: | Article |
| Language: | English |
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Moscow State University of Civil Engineering (MGSU)
2023-07-01
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| Series: | Железобетонные конструкции |
| Subjects: | |
| Online Access: | https://www.g-b-k.ru/jour/article/view/20 |
| _version_ | 1797261524252753920 |
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| author | Pavel D. Deminov |
| author_facet | Pavel D. Deminov |
| author_sort | Pavel D. Deminov |
| collection | DOAJ |
| description | The work of a reinforced concrete beam resting on an elastic foundation is considered. The strength characteristics of the beam materials - concrete and reinforcement - are considered as random normally distributed quantities. The parameters of the distribution of the probability density of the initial stiffness of the beam, the moment of crack resistance of the beam under the control of the strength of concrete in compression and tension are obtained. The beam base is considered as statistically inhomogeneous elastic half-plane with the soil elasticity modulus taken as a quasi-stationary random function of depth. The load on the beam, its geometric parameters and the modulus of elasticity of the foundation soil are taken as deterministic values. The parameters of the density distribution of the probability of bending moments in a reinforced concrete beam lying on a stochastic half-plane, and the probability of the formation of normal cracks in it, are obtained for the case of controlling the strength of concrete only in compression and for the case of controlling the strength of concrete both in compression and in tension. |
| first_indexed | 2024-04-24T23:42:35Z |
| format | Article |
| id | doaj.art-b5bd5a8d6c594104ab25f39228c1a5e8 |
| institution | Directory Open Access Journal |
| issn | 2949-1622 2949-1614 |
| language | English |
| last_indexed | 2024-04-24T23:42:35Z |
| publishDate | 2023-07-01 |
| publisher | Moscow State University of Civil Engineering (MGSU) |
| record_format | Article |
| series | Железобетонные конструкции |
| spelling | doaj.art-b5bd5a8d6c594104ab25f39228c1a5e82024-03-15T11:07:48ZengMoscow State University of Civil Engineering (MGSU)Железобетонные конструкции2949-16222949-16142023-07-0133111910.22227/2949-1622.2023.3.11-1919Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-PlanePavel D. Deminov0Moscow State University of Civil Engineering (National Research University) (MGSU)The work of a reinforced concrete beam resting on an elastic foundation is considered. The strength characteristics of the beam materials - concrete and reinforcement - are considered as random normally distributed quantities. The parameters of the distribution of the probability density of the initial stiffness of the beam, the moment of crack resistance of the beam under the control of the strength of concrete in compression and tension are obtained. The beam base is considered as statistically inhomogeneous elastic half-plane with the soil elasticity modulus taken as a quasi-stationary random function of depth. The load on the beam, its geometric parameters and the modulus of elasticity of the foundation soil are taken as deterministic values. The parameters of the density distribution of the probability of bending moments in a reinforced concrete beam lying on a stochastic half-plane, and the probability of the formation of normal cracks in it, are obtained for the case of controlling the strength of concrete only in compression and for the case of controlling the strength of concrete both in compression and in tension.https://www.g-b-k.ru/jour/article/view/20reinforced concrete beamprobability parametersstochastic halfplanecrack formation probability |
| spellingShingle | Pavel D. Deminov Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane Железобетонные конструкции reinforced concrete beam probability parameters stochastic halfplane crack formation probability |
| title | Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane |
| title_full | Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane |
| title_fullStr | Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane |
| title_full_unstemmed | Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane |
| title_short | Assessment of the Probability of Occurrence of Normal Cracks in a Reinforced Concrete Beam with Probabilistic Parameters Lying on a Stochastic Half-Plane |
| title_sort | assessment of the probability of occurrence of normal cracks in a reinforced concrete beam with probabilistic parameters lying on a stochastic half plane |
| topic | reinforced concrete beam probability parameters stochastic halfplane crack formation probability |
| url | https://www.g-b-k.ru/jour/article/view/20 |
| work_keys_str_mv | AT pavelddeminov assessmentoftheprobabilityofoccurrenceofnormalcracksinareinforcedconcretebeamwithprobabilisticparameterslyingonastochastichalfplane |