薄壁曲梁的稳定极限承载力

曲梁极限承载力涉及弯扭强度和稳定两方面的问题．尤其是曲梁进入弹塑性阶段后,截面上弯曲应力和扭转应力将不再保持原有的比例关系,问题变得更为复杂．水平曲梁在弹性和弹塑性阶段工作特性的研究成果为其工程应用提供了理论依据．在总结不同曲梁稳定极限承载力公式的基础上,通过对已有有限元计算结果的非线性回归,得到了工程实用的曲梁极限承载力估算公式．

ULTIMATE BEARING CAPACITY OF THIN-WALLED CURVED BEAMS

The ultimate bearing capacity of curved beams is related with the bending-torsion strength and the stability. With elastic-plastic deformation, the bending stress and the torsion stress are not linear with respect to the strain, so the problem will be more complicated. In this paper, using different formulae of the ultimate capacity of curved beams, a regression model is obtained. Through the nonlinear regression Calculation for a lot of computational results obtained by using the finite element method, a simplified and useful calculation formula is proposed, which can be used in the practical design of the curved beams.