A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
The New Linear Deformations Hypothesis of Reinforced Concrete Under Combined Torsion and Bending
https://orcid.org/http://orcid.org/0000-0001-5075-1134
https://orcid.org/http://orcid.org/0000-0001-8265-7767
https://orcid.org/http://orcid.org/0000-0001-5551-8534
https://orcid.org/http://orcid.org/0000-0002-5512-9181
The authors found a simple method from a family of mesh methods for developing linear deformation functionals by approximating rectangular sections in compressed and stretched regions. The general undefined functional is a complex function containing three function. The displacement is denoted as absolute deformations under the action of the deplanation of the cross section. The new linear deformation hypothesis was proposed. The new hypothesis of linear deformations and its filling of the diagram under combined torsion and bending was presented. The proposed new hypothesis is the kinematics between the fibers for the relative longitudinal fibers of the upper and lower deformations of concrete and reinforcement for determination the ratios at a distance from the neutral axis. The new hypothesis is similar to the modernized Bernoulli hypothesis, but has a special geometric figure for the summed function of additional deformation, as well as a parameter between the elastic and plastic regions of concrete to obtain the elastic deformation equation. The analysis of the new functional with the approximation of the Timoshenko-Goodyear function is carried out. The error in finding the value of the functional is 2% at the points considered and 7% at any points of the cross section. The authors recorded the bending moment, defined for any square or undefined for any point. The fillings of the diagram are in the form of expressions using functionals. A complex analysis was carried out with approximation, functionals, graphs.
The New Linear Deformations Hypothesis of Reinforced Concrete Under Combined Torsion and Bending
https://orcid.org/http://orcid.org/0000-0001-5075-1134
https://orcid.org/http://orcid.org/0000-0001-8265-7767
https://orcid.org/http://orcid.org/0000-0001-5551-8534
https://orcid.org/http://orcid.org/0000-0002-5512-9181
The authors found a simple method from a family of mesh methods for developing linear deformation functionals by approximating rectangular sections in compressed and stretched regions. The general undefined functional is a complex function containing three function. The displacement is denoted as absolute deformations under the action of the deplanation of the cross section. The new linear deformation hypothesis was proposed. The new hypothesis of linear deformations and its filling of the diagram under combined torsion and bending was presented. The proposed new hypothesis is the kinematics between the fibers for the relative longitudinal fibers of the upper and lower deformations of concrete and reinforcement for determination the ratios at a distance from the neutral axis. The new hypothesis is similar to the modernized Bernoulli hypothesis, but has a special geometric figure for the summed function of additional deformation, as well as a parameter between the elastic and plastic regions of concrete to obtain the elastic deformation equation. The analysis of the new functional with the approximation of the Timoshenko-Goodyear function is carried out. The error in finding the value of the functional is 2% at the points considered and 7% at any points of the cross section. The authors recorded the bending moment, defined for any square or undefined for any point. The fillings of the diagram are in the form of expressions using functionals. A complex analysis was carried out with approximation, functionals, graphs.
The New Linear Deformations Hypothesis of Reinforced Concrete Under Combined Torsion and Bending
https://orcid.org/http://orcid.org/0000-0001-5075-1134
https://orcid.org/http://orcid.org/0000-0001-8265-7767
https://orcid.org/http://orcid.org/0000-0001-5551-8534
https://orcid.org/http://orcid.org/0000-0002-5512-9181
The authors found a simple method from a family of mesh methods for developing linear deformation functionals by approximating rectangular sections in compressed and stretched regions. The general undefined functional is a complex function containing three function. The displacement is denoted as absolute deformations under the action of the deplanation of the cross section. The new linear deformation hypothesis was proposed. The new hypothesis of linear deformations and its filling of the diagram under combined torsion and bending was presented. The proposed new hypothesis is the kinematics between the fibers for the relative longitudinal fibers of the upper and lower deformations of concrete and reinforcement for determination the ratios at a distance from the neutral axis. The new hypothesis is similar to the modernized Bernoulli hypothesis, but has a special geometric figure for the summed function of additional deformation, as well as a parameter between the elastic and plastic regions of concrete to obtain the elastic deformation equation. The analysis of the new functional with the approximation of the Timoshenko-Goodyear function is carried out. The error in finding the value of the functional is 2% at the points considered and 7% at any points of the cross section. The authors recorded the bending moment, defined for any square or undefined for any point. The fillings of the diagram are in the form of expressions using functionals. A complex analysis was carried out with approximation, functionals, graphs.
The New Linear Deformations Hypothesis of Reinforced Concrete Under Combined Torsion and Bending
Lecture Notes in Civil Engineering
Vatin, Nikolai (editor) / Roshchina, Svetlana (editor) / Serdjuks, Dmitrijs (editor) / Kolchunov, Vladimir (author) / Demyanov, Alexey (author) / Shankov, Vyacheslav (author) / Grichishnikov, Sergey (author)
2022-01-30
13 pages
Article/Chapter (Book)
Electronic Resource
English
Strength and deformations of reinforced concrete members under torsion and combined actions
| UB Braunschweig | 1982
Strength and deformations of reinforced concrete members under torsion and combined actions
| UB Braunschweig | 1982
Experiments on concrete under combined bending and torsion
| Engineering Index Backfile | 1956
Combined Torsion and Bending in Reinforced and Prestressed Concrete Beams
| Online Contents | 2003