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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。
Trapezoidal single-box box girder with arbitrary cantilever, in defining its displacement warping function, needs to add a uniform axial displacement to the full cross-section to make the longitudinal displacement self-balanced with axial force on the full cross-section. In order to determine the influence of the additional axial displacement on the stress of the upper and lower flanges of the box girder, firstly, the shear warping function is defined as the second, the third and the fourth parabola respectively, and the width of the wing and its cross-sectional centroid Axis distance, using the self-balance condition of the axial force of the section, the expression of additional axial displacement is established, and the main characteristics of the axial displacement are analyzed. Then, using the principle of minimum potential energy, the governing equations of differential equations and the stresses on the upper and lower flanges of the box girder are deduced. Finally, the results obtained in the text calculation method, the measured value and the calculated results of the SAP plate shell units were compared and found good agreement between the three. Therefore, when calculating the stress of the flange, the influence of additional axial displacement on the stresses of the upper and lower flanges of the box girder is negligible, which is negligible.