The Computational Model of Spatial Formation of Cracks in Reinforced Concrete Constructions in Torsion with Bending

Sal’nikov, A. S.; Kolchunov, Vladimir; Yakovenko, I. A.

doi:10.4028/www.scientific.net/amm.725-726.784

Cited by 13 publications

(10 citation statements)

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“…The art of liberating a real object ( fig. 1) from insignificant features and identifying the design schemes of several levels is the most complicated stage of the modeling process [11,12]. It is performed a construction of a method for calculating statically indeterminate systems: "reinforced concrete beam -deformable base".…”

Section: Models and Methods Of Researchmentioning

confidence: 99%

“…However, the prerequisites, on which these works are based, are intended mainly for the zone of net and transverse bending and do not take into account the effect of spatial cracks on the strength and rigidity of the beam sections in the zones of joint action of bending, torque and transverse forces [12][13][14][15][16][17][18]. They also don't contain the criteria for exhausting the strength of the beam at fracture along the spatial cross-section, which substantially affects the nature of the destruction and the bearing capacity of the system as a whole.…”

Section: Form-2019mentioning

confidence: 99%

“…It should be noted that the torque t M and bending moment M on the steps of loading, except for the breaking, are expressed by the following relationship [12,17]:…”

Section: Take the Initial Values Of The Rigiditymentioning

confidence: 99%

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Load Bearing Capacity Calculation of the System “Reinforced Concrete Beam – Deformable Base” under Torsion with Bending

et al. 2019

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It is presented the formulation and solution of the load bearing capacity of statically indeterminable systems “reinforced concrete beam – deformable base” by spatial cross-sections under force and deformation effects. The solution of problem is currently practically absent in general form. It has been established the relationship between stresses and strains of compressed concrete and tensile reinforcement in the form of diagrams. The properties of the base model connections are described based on a variable rigidity coefficient. It is constructed a system of n equations in the form of the initial parameters method with using the modules of the force (strain) action vector. The equations of state are the dependences that establish the relationship between displacements which are acting on the beam with load. Constants of integration are determined by recurrent formulas. It makes possible to obtain the method of initial parameters in the expanded form and, consequently, the method of displacements for calculating statically indefinable systems. The values of the effort obtained could be used to determine the curvature and rigidity of the sections in this way. It is necessary not to set the vector modulus P, the deformation is set in any section (the module is considered as an unknown) during the problem is solving. This allows us to obtain an unambiguous solution even in the case when the dependence M–χ has a downward section, i.e one value of moment can correspond to two values of curvature.

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Section: Models and Methods Of Researchmentioning

confidence: 99%

Section: Form-2019mentioning

confidence: 99%

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Load Bearing Capacity Calculation of the System “Reinforced Concrete Beam – Deformable Base” under Torsion with Bending

et al. 2019

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“…Building computational models of complex resistance -torsion with a bend is becoming increasingly relevant [1,2], firstly, because there are relatively few such studies [3][4][5][6][7][8][9], and secondly, because the urgent need to take into account the spatial work of the majority of original reinforced concrete structures and buildingss that significantly change the architectural appearance of modern cities [10][11][12]; thirdly, it becomes a generally accepted postulate that there is nothing more practical than a good theory for calculation of reinforced concrete structures [13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

“…That is why the purpose of these studies is to develop a computational model of the resistance of reinforced concrete structures under the action of torsion with bending for a cross section of any shape that most fully reflect the features of their actual work [2,12,17]. For the calculated forces, the resolving equilibrium and strain equations are compiled.…”

Section: Introductionmentioning

confidence: 99%

The Second Stage of Stressed-Deformed Condition of Reinforced Concrete Structures When Turning With Bending (Case 2)

Kolchunov

Демьянов

Naumov

2019

IJCCSE

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It is proposed a complex resistance computational model of reinforced concrete constructions in buildings and structures under the action torsion with bending. It consists of from the block near the support (formed by a spatial crack and a compressed concrete zone closed by it - a spatial section k) and a second block, which is formed by a vertical cross section I-I passing perpendicularly to the longitudinal axis of the reinforced concrete element along the edge of the compressed zone, which closes the spatial spiral-shaped crack. The case when the greatest influence on the stress-strain state of structures has the effect of torque is considered (case 2). In this case, as the calculated forces are taken into account in the spatial section: normal and tangential forces in the concrete of the compressed zone; components of axial and “dowel” efforts in the working reinforcement, intersected by a spiral spatial crack. The resolving equations are constructed that form a closed system and the Lagrange function is unified. Using the partial derivatives of the constructed function with respect to all the variables entering into it and equating them to zero, an additional system of equations is constructed. The dependence is obtained after the corresponding algebraic transformations, that allows us to search for the projection of a dangerous spatial crack.

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Design of Effective Statically Indeterminate Reinforced Concrete Beams

Кочкарьов

Azizov

Galinska

2020

Lecture Notes in Civil Engineering

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The Computational Model of Spatial Formation of Cracks in Reinforced Concrete Constructions in Torsion with Bending

Cited by 13 publications

References 0 publications

Load Bearing Capacity Calculation of the System “Reinforced Concrete Beam – Deformable Base” under Torsion with Bending

Load Bearing Capacity Calculation of the System “Reinforced Concrete Beam – Deformable Base” under Torsion with Bending

The Second Stage of Stressed-Deformed Condition of Reinforced Concrete Structures When Turning With Bending (Case 2)

Design of Effective Statically Indeterminate Reinforced Concrete Beams

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