工字形薄壁梁翼缘弯曲切应力的进一步分析

FURTHER ANALYSIS OF BENDING SHEAR STRESS ON THE FLANGE OF I-SHAPED THIN-WALLED BEAM

本文通过梁相邻两横截面间轴向的平衡条件,进一步推导了工字形薄壁梁翼缘与腹板交接区域垂直于剪力的切应力和翼缘上平行于剪力的切应力计算公式。结果表明,所得公式完全满足横截面对称性条件和应力边界条件。在此基础上,绘制了工字形薄壁梁横截面上新的切应力分布图。本文的研究成果可作为学生全面学习工字形薄壁梁上弯曲切应力的重要补充。

Based on the equilibrium conditions in the axial direction between two adjacent sections of the beam, the calculation formulas are derived for the shear stress perpendicular to the shear force at the junction of the flange and the web of the I-shaped thin-walled beam and the shear stress parallel to the shear force on the flange. It is shown that the obtained results completely satisfy the cross-section symmetry condition and the stress boundary condition. On this basis, a new shear stress distribution diagram on the section of the I-shaped thin-walled beam is obtained. The results of this research can be used as a sample for students to comprehensively study the bending shear stress on I-shaped thin-walled beams.