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| 钢箱梁剪滞分析的剪切和面积等效法对比研究 |
| Comparative study on shear analogy method and equivalent area method for shear lag analysis of steel box girders |
| 投稿时间：2025-04-16 修订日期：2025-06-08 |
| DOI： |
| 中文关键词: 钢箱梁 剪滞效应 能量变分法 剪切变形 面积等效 参数分析 |
| 英文关键词:Steel box girder Shear lag effect Energy variational principle Shear deformation Equivalent area method Parametric analysis |
| 基金项目:国家自然科学基金资助项目(52368020)；甘肃省高校青年博士支持项目(2024QB-047). |
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| 中文摘要: |
| 为准确分析在竖向对称荷载作用下带肋钢箱梁的剪滞效应，选取剪滞附加挠度为广义位移，运用能量变分法建立钢箱梁剪滞效应通用解析解；从U肋与顶板的剪力流分布规律出发，结合剪切变形协调条件和位移连续性条件，提出带肋钢箱梁剪滞分析的剪切等效方法，借助已有文献提出的面积等效方法，以加劲肋面积占比为基本参数，对比分析剪切和面积等效对钢箱梁剪滞效应分析精度的影响。结合数值算例研究表明：剪切等效法计算的钢箱梁剪滞效应解析解与有限元数值解吻合更好；加劲肋面积占比越大，剪切和面积等效法计算的钢箱梁剪滞效应差值比越大；当加劲肋面积占比为26%时，两种计算方法计算的简支和连续钢箱梁跨中截面顶板肋处的纵向应力差值比为11.70%和11.50%，对应跨中截面的挠度差值比为10.25%和10.18%。 |
| 英文摘要: |
| To accurately analyze the shear lag effect of ribbed steel box girders under vertical symmetric loads, this study selects the shear-lag-induced additional deflection as the generalized displacement and employs the energy variational method to establish a universal analytical solution for the shear lag effect in steel box girders. Based on the shear flow distribution pattern between U-ribs and the top plate, a shear equivalence method for shear lag analysis of ribbed steel box girders is proposed by integrating shear deformation compatibility conditions and displacement continuity requirements. Leveraging the existing area equivalence method in literature, with the rib area ratio as the fundamental parameter, the impacts of shear and area equivalence on the accuracy of shear lag effect analysis in steel box girders are comparatively analyzed. Numerical case studies demonstrate that the analytical solution for the shear lag effect in steel box girders calculated by the shear equivalence method aligns better with finite element numerical solutions. As the rib area ratio increases, the discrepancy ratio in shear lag effect calculations between shear and area equivalence methods grows. When the rib area ratio reaches 26%, the longitudinal stress discrepancy ratios at the rib location of the top plate in the mid-span section of simply supported and continuous steel box girders calculated by the two methods are 11.70% and 11.50%, respectively, while the corresponding deflection discrepancy ratios at the mid-span section are 10.25% and 10.18%. |
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