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Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Improving the Calculation of Variable Cross Section Compressed Wooden Bars Stability
https://orcid.org/http://orcid.org/0000-0001-6201-3606
https://orcid.org/http://orcid.org/0000-0002-9133-8546
https://orcid.org/http://orcid.org/0000-0001-7381-9752
https://orcid.org/http://orcid.org/0000-0002-5205-1446
https://orcid.org/http://orcid.org/0000-0001-5729-1425
The article presents a method for determining critical loads for centrally compressed wooden bars with a cross-sectional stiffness variable along the length. Rectangular cross-section bars are considered, the section height of which varies according to a linear law, and the width is constant. The solution is carried out in the elastic formulation. To obtain a solution that is valid for an arbitrary bar geometry, dimensionless parameters are introduced. When solving the stability problem, the basis is the static Euler criterion. The solution of the main resolving equation is performed numerically by the finite difference method. As a result, the task is reduced to the problem of matrix eigenvalues. The implementation of the calculation is performed in the MATLAB environment. Comparisons are made with the current Russian standards for the design of wooden structures. In Russian design standards, a controversial provision is that the variable stiffness of the bars is estimated by the same calculation formula, regardless of the type of fastening. It has been established that the error of Russian design codes for a bar hinged at the ends can in some cases exceed 5%. Corrected calculation formulas suitable for engineering calculations are proposed. In addition, to confirm the reliability of the results, a finite element analysis is performed in the LIRA-SAPR software package.
Improving the Calculation of Variable Cross Section Compressed Wooden Bars Stability
https://orcid.org/http://orcid.org/0000-0001-6201-3606
https://orcid.org/http://orcid.org/0000-0002-9133-8546
https://orcid.org/http://orcid.org/0000-0001-7381-9752
https://orcid.org/http://orcid.org/0000-0002-5205-1446
https://orcid.org/http://orcid.org/0000-0001-5729-1425
The article presents a method for determining critical loads for centrally compressed wooden bars with a cross-sectional stiffness variable along the length. Rectangular cross-section bars are considered, the section height of which varies according to a linear law, and the width is constant. The solution is carried out in the elastic formulation. To obtain a solution that is valid for an arbitrary bar geometry, dimensionless parameters are introduced. When solving the stability problem, the basis is the static Euler criterion. The solution of the main resolving equation is performed numerically by the finite difference method. As a result, the task is reduced to the problem of matrix eigenvalues. The implementation of the calculation is performed in the MATLAB environment. Comparisons are made with the current Russian standards for the design of wooden structures. In Russian design standards, a controversial provision is that the variable stiffness of the bars is estimated by the same calculation formula, regardless of the type of fastening. It has been established that the error of Russian design codes for a bar hinged at the ends can in some cases exceed 5%. Corrected calculation formulas suitable for engineering calculations are proposed. In addition, to confirm the reliability of the results, a finite element analysis is performed in the LIRA-SAPR software package.
Improving the Calculation of Variable Cross Section Compressed Wooden Bars Stability
https://orcid.org/http://orcid.org/0000-0001-6201-3606
https://orcid.org/http://orcid.org/0000-0002-9133-8546
https://orcid.org/http://orcid.org/0000-0001-7381-9752
https://orcid.org/http://orcid.org/0000-0002-5205-1446
https://orcid.org/http://orcid.org/0000-0001-5729-1425
The article presents a method for determining critical loads for centrally compressed wooden bars with a cross-sectional stiffness variable along the length. Rectangular cross-section bars are considered, the section height of which varies according to a linear law, and the width is constant. The solution is carried out in the elastic formulation. To obtain a solution that is valid for an arbitrary bar geometry, dimensionless parameters are introduced. When solving the stability problem, the basis is the static Euler criterion. The solution of the main resolving equation is performed numerically by the finite difference method. As a result, the task is reduced to the problem of matrix eigenvalues. The implementation of the calculation is performed in the MATLAB environment. Comparisons are made with the current Russian standards for the design of wooden structures. In Russian design standards, a controversial provision is that the variable stiffness of the bars is estimated by the same calculation formula, regardless of the type of fastening. It has been established that the error of Russian design codes for a bar hinged at the ends can in some cases exceed 5%. Corrected calculation formulas suitable for engineering calculations are proposed. In addition, to confirm the reliability of the results, a finite element analysis is performed in the LIRA-SAPR software package.
Improving the Calculation of Variable Cross Section Compressed Wooden Bars Stability
Lecture Notes in Civil Engineering
Klyuev, Sergey Vasil'yevich (Herausgeber:in) / Klyuev, Alexander Vasil'yevich (Herausgeber:in) / Vatin, Nikolay Ivanovich (Herausgeber:in) / Sabitov, Linar S. (Herausgeber:in) / Shorstov, Roman (Autor:in) / Chepurnenko, Anton (Autor:in) / Sabitov, Linar (Autor:in) / Yazyev, Batyr (Autor:in) / Litvinov, Stepan (Autor:in)
International Scientific Conference on Innovations and Technologies in Construction ; 2022 ; Belgorod, Russia
12.05.2023
8 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Issues of the Load Capacity and Stability of Compressed Wooden Bars
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