考虑全截面剪切变形的箱梁挠度简化计算方法

SIMPLIFIED CALCULATION METHOD OF BOX GIRDER DEFLECTIOIN CONSIDERING FULL SECTION SHEAR DEFORMATION

  • 摘要: 为进一步简化箱梁弯曲挠度计算方法,本文运用能量变分原理和铁摩辛柯梁理论推导了考虑全截面剪切变形的箱梁弯曲挠度计算公式,基于剪滞控制微分方程和现行公路桥规中翼缘有效宽度的折算办法,提出了全截面剪切变形的箱梁挠度简化计算方法。简支和连续箱梁算例分析表明:考虑全截面剪切影响的箱梁理论挠度、简化方法结果与ANSYS数值解吻合良好,且最大差值比基本在5%以内,验证了所提简化计算方法的正确性和适用性。

     

    Abstract: In order to further simplify the calculation method of box girder bending deflection, this article used the energy variational principle and the Timoshenko beam theory to derive a formula for calculating box girder bending deflection through considering full section shear deformation. Based on the shear lag control differential equation and the conversion method of effective flange width in current highway bridge regulations, a simplified calculation method for box girder deflection through considering full section shear deformation was proposed. The analysis of simple supported and continuous box girder examples shows that the theoretical deflection and simplified method results are in good agreement with the ANSYS numerical solution, and the maximum difference ratio is basically within 5%, verifying the correctness and applicability of the proposed simplified calculation method.

     

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