Abstract
The presented mathematical model enables to calculate deformations of composite elements with nonlinear compliant shear bonds using a step method. The algorithm relies on the theory of elastic composite rods by A. R. Rzhanitsyn, where the stiffness of bonds is specified at each step according to the value of shear force. A system of equations is compiled to define arbitrary forms describing the distribution of shear forces at boundaries. A system of differential equations is used to determine the shear forces and deflection of the beam at each step. The theoretical studies of composite wooden beam vertical deflection showing the deformation of the bonds follows a nonlinear law. The linear analysis with constant values of the shear bond stiffness coefficients was also performed. It is found that when the actual nature of bounds deformation is not considered, a significant error may appear in the estimation of the deformability of composite beams.
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Popov, E.V., Labudin, B.V., Cherednichenko, V.V., Bardin, I.N. (2023). Calculation Features of Deflection of Two-Layer Composite Wooden Beams with Compliant Shear Bonds. In: Rybnov, E., Nikolaev, A., Skotarenko, O. (eds) Proceedings of ARCTD 2021. Lecture Notes in Civil Engineering, vol 206. Springer, Cham. https://doi.org/10.1007/978-3-030-99626-0_23
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DOI: https://doi.org/10.1007/978-3-030-99626-0_23
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