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该文的目的是分析剪力滞效应计算时假定截面中性轴与形心轴重合而产生的附加轴力及其相对大小。利用截面的静力平衡条件,建立了抛物线型翘曲位移函数下截面附加轴力的表达式,并讨论了附加轴力的基本特点。通过引入附加轴向应力比直观反映附加轴力的相对大小,对典型的简支梁、悬臂梁和连续梁在集中力和均布荷载作用下的附加轴向应力比的数值分析。结果表明附加轴向应力相对较小,对剪力滞效应计算精度的影响在5%以内,对抛物线型翘曲位移函数进行考虑轴力平衡的修正是没有必要的。
The purpose of this paper is to analyze the additional axial forces and their relative sizes caused by the assumption that the neutral axis and the centroidal axis coincide with each other in the calculation of shear lag effect. Based on the static equilibrium condition of the section, the expression of additional axial force under the parabolic warping displacement function is established and the basic characteristics of the additional axial force are discussed. The numerical analysis of the additional axial stress ratio of typical simple supported beams, cantilever beams and continuous beams under the action of concentrated load and uniform load is introduced by introducing the additional axial stress ratio to directly reflect the relative size of the additional axial force. The results show that the additional axial stress is relatively small and the influence on the calculation accuracy of shear lag effect is less than 5%. It is not necessary to consider the parabolic warping displacement function to correct the axial force balance.