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中文摘要：
带有任意悬臂的梯形单箱单室箱梁，在定义其位移翘曲函数时，需要在全截面上附加一均匀的轴向位移，以使纵向位移在全截面上构成轴力自平衡。为确定附加轴向位移对箱梁上、下翼板应力的影响程度，首先定义剪滞翘曲函数分别取为2次、3次和4次抛物线，并考虑翼板宽度及其至截面形心轴距离的影响，利用截面轴力自平衡条件，建立了附加轴向位移的表达式，进而分析了其主要特点。然后用最小势能原理推导出控制微分方程和箱梁上、下翼板应力的求解方程。最后将文中计算方法所得结果、实测值和SAP板壳单元的计算结果进行对比，发现3者吻合良好。因此，在计算翼板应力时，考虑附加轴向位移与否对箱梁上、下翼板应力的影响程度均较小，可以忽略不计。
英文摘要：
The trapezoidal single-box single-cell box girder with arbitrary cantilever needs a uniform axial displacement on its total cross-section to make the longitudinal displacement constitute axial force self- balancing when defining its displacement warping function. The objective is determining the influencing degree of additional axial displacement on box girder＇s upper and low flange stresses, first, the shear lag warping functions are defined as quadratic, cubic and biquadratic parabola respectively. Considering the influence of flange width and the distance from flange to section centroid, and using the condition of axial force self-balancing, the additional axial displacement expression is established and the main characteristics are analyzed. Then, based on the principle of minimum potential energy, the control differential equations and solving equations of the box girder＇s upper and low flange stresses are derived. At last, comparing with the measured values and the calculation results of SAP plate shell unit, the result obtained by the presented method is in good agreement. Therefore, when calculating the flange stress, the influence of whether considering the additional axial force or not on the box girder＇s upper and low flange stresses is little.
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