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变截面波形钢腹板悬臂梁抗剪性能研究
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Research on Shear Performance of Cantilever Beam with Variable-section Corrugated Steel Web
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    摘要:

    为了在变截面波形钢腹板悬臂梁的剪应力计算时考虑翼板、腹板以及组合箱梁截面转角差异,首先从翼板、腹板以及组合箱梁截面转角出发建立位移函数,采用能量变分法将翼板与腹板承剪进行剥离,利用弯矩等效分离顶、底板承剪;其次结合变截面波形钢腹板组合箱梁的梁段分析单元刚度矩阵及节点荷载列阵建立了剪应力求解程序;最后分析了悬臂梁在不同荷载工况下顶、底板及腹板剪应力与承剪比.结果表明:相较于有限元计算结果,考虑转角差异后顶板、腹板和底板承剪比计算结果较已有变截面剪应力计算结果精度最大可提高3.48%、3.43%和6.91%;悬臂梁各组件承剪比取决于荷载形式,梁端集中荷载作用下,顶、底板各自承剪比达到最大,分别为自由端的12.82%和固定端的60.81%;均布荷载作用下,腹板承剪比达到最大,为自由端的78.11%.

    Abstract:

    To consider the difference in the section rotation angle of the wing flange, web, and composite box girder when calculating the shear stress of a cantilever beam with variable section corrugated steel web, a displacement function was first established based on the rotation angles of the flanges, web, and composite box girder. The energy variational method was used to separate the shear contribution of the flange and web, and the bending moment equivalent was used to further separate the top and bottom flange shear. Secondly, the shear-stress solving program was established based on the stiffness matrix of the beam segment analysis element and the joint load array of the composite box girder with variable section corrugated steel web. Lastly, the study analyzed the shear stress and shear capacity ratio of the top flange, bottom flange, and steel web of the cantilever beam under various loading conditions. The results show that, when compared to the finite element calculation results, the accuracy of the calculation results of the shear capacity ratio of the top flange, web, and bottom flange after considering the difference of rotation angle can be improved by a maximum of 3.48%, 3.43%, and 6.91%, respectively, compared with the existing results of shear stress calculation of variable cross-section. The shear capacity ratio of each component of the cantilever beam depends on the load form. The values of the top flange and bottom flange reach the maximum under the concentrated load of the beam free-end, which is 12.82% of the free end and 60.81% of the fixed end, respectively, and the web shear capacity ratio reaches the maximum under the action of uniform load, which is 78.11% of the free end.

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王方旭 ,刘世忠 ?,杨霞林 ,秦翱翱 ,刘欣益 .变截面波形钢腹板悬臂梁抗剪性能研究[J].湖南大学学报:自然科学版,2025,52(1):108~117

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  • 在线发布日期: 2025-01-22
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