Calculating Precision Analysis of Static Characteristics of Multi-rib T-Beam Structure

Abstract

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.

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Acknowledgement

This work is financially supported by the National Natural Science Foundation of China (Grant Nos. 51769028, 51509139, 51508137), Post-Doctoral Foundation of China (Grant Nos. 2015M570108, 2014M560266), and Natural Science Foundation of Qinghai Province in China (Grant No. 2017-ZJ-933Q).

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Correspondence to Ya-nan Gan.

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Shi, F., Cao, P., Gan, Y. et al. Calculating Precision Analysis of Static Characteristics of Multi-rib T-Beam Structure. Iran J Sci Technol Trans Civ Eng 44, 813–824 (2020). https://doi.org/10.1007/s40996-019-00257-z

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Keywords

  • Multi-rib T-beam
  • Self-equilibrium conditions
  • Shear lag effect
  • Shear deformation
  • Energy-variation principle
  • Warping stress