To accurately calculate the shear lag amplitude of multi-rib T-beam (MRTB) with various flange widths, multi-longitudinal displacement differential functions considering the axial self-equilibrium conditions (SECs) for shear lag warping stress, shear stress lag and shear deformation of MRTB are set. Further, a new warping displacement model of MRTB is employed to meet the axial SECs for shear lag warping stress. Based on the energy-variation principle, the governing differential equations of the generalized displacement and the corresponding natural boundary conditions of MRTB are established. Through the calculation examples, the contribution of SECs, shear lag and shear deformation to the normal stress on the flanges of MRTB are characterized. By finite element analysis, the calculated results are in good agreement with the numerical results, which demonstrates the effectiveness of this proposed approach. Hence, it provides a more accurate method for the static analysis of MRTB.

中文翻译：

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多肋T型梁结构静力特性计算精度分析

为了准确计算具有不同翼缘宽度的多肋 T 梁 (MRTB) 的剪力滞幅度，考虑剪力滞翘曲应力、剪力滞滞和剪切变形的轴向自平衡条件 (SEC) 的多纵向位移微分函数MRTB 的设置。此外，采用新的 MRTB 翘曲位移模型来满足剪切滞后翘曲应力的轴向 SEC。基于能量变化原理，建立了广义位移的控制微分方程和相应的MRTB自然边界条件。通过计算实例，表征了 SECs、剪力滞和剪切变形对 MRTB 法兰法向应力的贡献。通过有限元分析，计算结果与数值结果吻合较好，这证明了这种建议方法的有效性。因此，它为MRTB的静态分析提供了一种更准确的方法。