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Approximate Analysis of Simply Supported Composite Beams with Partial Interaction

机译:部分相互作用的简支组合梁的近似分析

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An approximate analysis method was presented for the analysis and design of a simply supported composite beam with partial interaction. To solve the governing differential equation in linear elastic partial interaction theory, the internal axial force was approximated by Fourier series. In case studies, the internal axial force, slip and displacement of the beam were obtained for some load cases such as temperature load, end moment, point load and uniformly distributed load. From the study for convergence of the approximate solution, the relative error for the displacement was converged below about 0.1% at more than the fifth order of Fourier series. This method can be applied to arbitrary loading conditions. Also, the results are sufficiently accurate for determining the behavior of the composite beam with partial interaction for the design purpose.
机译:提出了一种近似分析方法,用于具有部分相互作用的简支组合梁的分析和设计。为了解决线性弹性局部相互作用理论中的控制微分方程,通过傅里叶级数近似内部轴向力。在案例研究中,获得了某些载荷情况下梁的内部轴向力,滑移和位移,例如温度载荷,端力矩,点载荷和均匀分布载荷。从对近似解的收敛性的研究来看,位移的相对误差在大于傅立叶级数的五阶时收敛在约0.1%以下。该方法可以应用于任意加载条件。同样,结果对于确定具有部分相互作用的复合梁的行为,对于设计目的而言,足够准确。

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