Abstract
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.
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Shorstov, R., Chepurnenko, A., Sabitov, L., Yazyev, B., Litvinov, S. (2023). Improving the Calculation of Variable Cross Section Compressed Wooden Bars Stability. In: Klyuev, S.V., Klyuev, A.V., Vatin, N.I., Sabitov, L.S. (eds) Innovations and Technologies in Construction. BUILDINTECH BIT 2022. Lecture Notes in Civil Engineering, vol 307. Springer, Cham. https://doi.org/10.1007/978-3-031-20459-3_32
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DOI: https://doi.org/10.1007/978-3-031-20459-3_32
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