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考虑了剪力滞后、剪滞翘曲应力自平衡条件和剪切变形等因素的影响,提出了一种对薄壁T形梁静力学特性的分析方法。以最小势能原理为基础,建立了T形梁静力学特性的控制微分方程和自然边界条件,据此对T形梁力学特性进行了研究。分析了剪滞翘曲应力自平衡条件、不同荷载形式和宽跨比等因素对T形梁静力学特性的影响,最后,通过解析解与有限元数值解进行了比较,说明了该分析方法的有效性。
Considering the effects of shear lag, self-balance of shear-lag warpage stress and shear deformation, a method of analyzing the static characteristics of thin-walled T-beams is proposed. Based on the principle of minimum potential energy, a governing differential equation and a natural boundary condition for the static behavior of a T-shaped beam are established, and the mechanical properties of the T-shaped beam are studied. The influence of self-equilibrium conditions of shear-lag warping stress, different load forms and width-span ratio on the statics of T-beams is analyzed. Finally, the analytical solution is compared with the numerical solution of the finite element method. Effectiveness.