双层悬臂板钢箱梁的剪力滞效应研究

Analysis on Shear Lag Effect of Steel Box Girders with Double-Level Cantilever Slab

  • 摘要: 双层桥面便于交通管理,具有良好的经济效益,钢桥采用双层悬臂板箱梁已逐步采用。为了研究双层悬臂板对箱梁剪力滞效应的影响,从建立双层悬臂板箱梁的剪力流分布出发,选取并修正剪滞翘曲位移函数,用能量变分原理建立双层悬臂板箱梁的剪力滞效应控制微分方程,根据边界条件得到解析解。导出双层悬臂板箱梁在集中荷载和均布荷载作用下的正应力解析解。结合简支钢箱梁算例,用ANSYS有限元验证解析理论的正确性。研究结果表明,应用解析理论和有限元法计算结果吻合良好;与传统仅设上层悬臂板箱梁对比,设置下层悬臂板使箱梁底板的应力减小,并削弱底板剪力滞效应的影响。随着高跨比的增加,顶、底板的剪力滞系数变化较小,而顶、底板的正应力显著减小。随着下层悬臂板厚度的增加,底板跨中截面的正应力显著减小,剪力滞系数缓慢增大,剪力滞效应越显著。随着下层悬臂板宽度的增加,底板的最大的正应力减小,但其剪力滞系数增大,剪力滞效应越显著。

     

    Abstract: Double-level bridge decks offer significant economic advantages and simplify traffic management. Over time, double-level cantilever slab box girders have been increasingly utilized in steel bridge construction. To investigate the effect on shear lag effect of steel box girders with double-level cantilever slabs, the shear-stiffness warping displacement function is chosen and adjusted based on the double-level cantilever box girders' shear flow distribution. A differential equation describing the shear-stiffness effect of double-level cantilever box girders is created using the energy variational principle, and an analytical solution is derived based on boundary conditions. Using a simply supported steel box girder as a case study, the correctness of the analytical theory was verified using ANSYS finite element analysis. The results indicate that the calculations based on the analytical theory and the finite element method are in good agreement. Moreover, the shear lag effect of a conventional box girder can be analyzed using the degeneration approach proposed in this study, which accounts for only the upper cantilever slab. The presence of the lower deck cantilever slab reduces the stress on the bottom plate of the box girder and somewhat alleviates the shear lag effect compared to a traditional box girder with only the upper deck cantilever slab. As the height-to-span ratio increases, the shear lag coefficient of the top and bottom plates changes little, while the normal stress in the top and bottom plates decreases significantly. As the thickness of the lower cantilever slab increases, the normal stress in the mid-span section of the bottom slab decreases significantly, while the shear hysteresis coefficient gradually increases, indicating a more pronounced shear hysteresis effect. As the width of the lower cantilever slab increases, the maximum positive stress in the bottom slab decreases, but its shear lag coefficient increases, making the shear lag effect more pronounced.

     

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