引用本文: 甘亚南, 石飞停, 操俊林. 双肋式T形梁力学性能的理论分析[J]. 力学与实践, 2017, 39(3): 280-285.
GAN Yanan, SHI Feiting, CAO Junlin. Theoretical analysis of mechanical properties of T-beam with two-ribbed slabs[J]. MECHANICS IN ENGINEERING, 2017, 39(3): 280-285.
 Citation: GAN Yanan, SHI Feiting, CAO Junlin. Theoretical analysis of mechanical properties of T-beam with two-ribbed slabs[J]. MECHANICS IN ENGINEERING, 2017, 39(3): 280-285.

## Theoretical analysis of mechanical properties of T-beam with two-ribbed slabs

• 摘要: 以能量变分原理为基础，考虑了剪滞翘曲应力自平衡条件、剪力滞后和剪切变形等因素，建立了双肋式T形梁广义位移的控制微分方程和自然边界条件，获得了相应广义位移的闭合解.进而以算例为基础讨论了自平衡条件、剪力滞后和剪切变形等因素对双肋式T形梁正应力和挠度的贡献.解析解与有限元数值解吻合更好，说明了本文方法的有效性.

Abstract: The shear lag effect, the shear deformation and the self-equilibrium condition for the T-beam with two-ribbed slabs are considered in the present study. Two generalized displacement functions are employed to analyze the mechanical characteristics, and the corresponding four ordinary differential equations with natural boundary conditions are derived. Then, the closed-form solutions for the generalized displacements are obtained. Furthermore, the contributions of the self-equilibrium condition, the shear lag effect to the stress and the deflection of the T-beam with two-ribbed slabs are analyzed in detail. It is concluded that the mechanical analysis of the T-beam with two-ribbed slabs is more accurate. The numerical simulation using the finite element algorithm by the ANSYS validates the proposed approach. Thus, our theoretical analysis provides more insights than the share lag theory of the T-beam with multi-ribbed slabs.

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