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首先,本文构造一翘曲位移函数,使其横截面的正应力在轴向自成平衡,随之用最小势能原理导出微分方程,从而计算挠度和正应力。正应力的解与试验符合良好,而跨中挠度偏小。进而表明,考虑横向弯曲对挠度的影响是必要的。比较各种情况下梁肋与翼板交线的应力表明,悬臂梁固端正应力和简支梁简支端剪应力受剪力滞效应的影响严重。
First, a warping displacement function is constructed in this paper so that the normal stress in the cross section is self-balanced in the axial direction, and then the differential equation is derived using the principle of minimum potential energy to calculate deflection and normal stress. The solution of the normal stress is in good agreement with the test, but the deflection in the mid-span is small. It is further shown that it is necessary to consider the influence of the lateral bending on the deflection. Comparing the stress at the intersection of the beam rib and the wing plate under various conditions shows that the normal stress at the fixed end of the cantilever beam and the shear stress at the simply supported end of the simply supported beam are seriously affected by the shear lag effect.