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中文摘要：
选用余弦函数作为剪力滞翘曲位移函数,基于能量变分原理推导出箱梁在竖向对称荷载作用下的剪力滞效应控制微分方程.应用初等梁理论得到了有关附加弯矩的另一纵向应力表达式,从附加弯矩角度解释了正、负剪力滞效应.针对常见的简支和悬臂两种支撑,给出了单室箱梁承受集中力和均布力荷载时,上、下翼板纵向应力表达式,同时揭示了两种支撑条件下单室箱梁截面上、下翼板沿横截面方向应力分布趋势：简支情况下,沿梁跨度方向顶（底）板与腹板交汇处表现为正剪力滞效应,顶（底）板中间表现为负剪力滞效应;悬臂情况下,靠近固定端截面,正、负剪力滞规律与简支梁一致,自由端截面,正、负剪力滞规律与简支梁相反.最后分析了两种支撑情况下正、负剪力滞系数随跨度变化的规律.研究表明：简支情况下,正剪力滞系数由跨中向两侧递增,负剪力滞系数由跨中向两侧递减;悬臂情况下,正剪力滞系数由固定端向自由端逐渐递减,负剪力滞系数由固定端向自由端逐渐递增.
英文摘要：
This paper chooses the cosine function as the shear lag warping displacement function. Based on energy-variational principle,the governing differential equations of shear lag effect of box girder under the vertical symmetrical load is derived. With the application of the primary beam theory,the expression of another longitudinal stress of the additional moment is obtained,and the positive and negative shear lag effect is explained from the angle of the additional moment. For two simply supported and cantilever support,the longitudinal stress expression of the upper and lower wing plate is obtained,when a single cell box girder endured concentrated force load and uniformly distributed load,also,the stress distribution trend along the cross section direction of wing plate is revealed under the two kinds of supporting conditions：for simply supported,along the span direction of the beam,the position of roof（floor） plate and web plate manifests positive shear lag effect,and in the middle position of the roof（floor） plate,the negative shear lag effect appears; for the situation of cantilever,the positive and negative shear lag rules near the fixed end section is the same with supported beams,but for near free end section,the positive and negative shear lag rules is contrary to simply supported beam. In the end,the rules of the positive（negative） shear lag coefficient along with the span change under the two kinds of conditions is showed. The research shows that,in the case of simply supported,the positive shear lag coefficient is increased from the middle to both sides; and the negative shear lag coefficient is decreased from the middle to the two sides; in the case of the cantilever,the positive shear lag coefficient is gradually decreased from the fixed end to the free end,and the negative shear lag coefficient is gradually increasing from the fixed end to the free end.
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