荷载横向对称变位时,箱梁顶板、底板纵向位移存在差异,因此顶板、底板采用不同的剪力滞广义位移,同时在计算外力势能时应考虑荷载横向位置的影响,选取余弦函数为剪力滞翘曲位移函数,利用能量变分原理推导出荷载横向变位下的箱梁截面控制微分方程,结合边界条件给出均布荷载下箱梁顶板、底板的纵向应力解。选择一典型的单箱双室简支箱梁,分析跨中截面顶板、底板的剪力滞横向分布规律,高跨比对跨中截面关键点剪力滞系数的影响规律,研究表明:荷载由边腹板对称向单室顶板中心移动时,顶板与腹板交汇处剪力滞系数将由正剪力滞变为无剪力滞,再由无剪力滞变为负剪力滞,但是对底板的剪力滞效应的影响几乎很小,底板与腹板交汇处剪力滞系数基本保持正剪力滞;荷载不同的横向变位下,高跨比对剪力滞效应的影响各不相同,因此在多箱室设计中应充分考虑荷载变位的影响。此外本文计算结果与有限元数值解吻合良好,能够正确的反映剪力滞规律。
The longitudinal displacement of box girder5 s the top and bottom plates are differences with the loadinglateral symmetry moving, Therefore, different the shear lag generalized displacement were respectively used forthe top and bottom plates, the potential energy of external force was calculated by considering the influence oflateral loading positions, selecting cosine function for the shear lag warping displacement function,by using theenergy variational method to deduce the box girder cross section control differential equations with the loading lateralsymmetry moving, combining with the boundary conditions of box girder under uniformly distributed load aregiven longitudinal stress solution of the top and bottom plates.To choose a typical twin-cell simply supported boxgirder, analysis of the laws of the shear lag lateral distribution in the mid-span section of the top and bottomplates and the height-span ratio influenced the changing of shear lag effect coefficient of key points in the midspansection, research shows : with the symmetrical loading on the top plate moving from side webs to the center of single room, the shear lag effect on the top plate near the webs change from positive to negative, and the shearlag effect on the bottom plate near the webs rarely changes basically remain positive; designing of multi-cell boxgirder,the influence of different load patterns of shear lag effect should be considered fully.The results are in goodagreement with those from finite element method and accurately reflect the law of shear-lag.