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Bending performance of thin-walled box girders based on higher-order warping displacement mode

Qianhong Wang and Xiao Wu

Vol. 21 (2026), No. 1, 1–13
Abstract

In order to explore the influence of combined effects of shear lag and shear deformation on the bending deformation and stress of thin-walled box girders, the energy variational principle and Timoshenko beam theory are applied to establish governing differential equations. Deflection curve equation, bending stress expressions and calculation formulas for shear lag coefficients are given respectively. With an increase in n, the deflection of the box girder decreases instead. It is recommended that n = 5 when analyzing the bending deformation and stress of simply supported thin-walled box girders. The smaller the span-width ratio, the more obvious shear lag effect. Shear lag effect is more significant under the concentrated load. Compared with the shear lag effect, the influence of shear deformation on the bending deformation of box girders is more prominent. The investigation results provide a simple and effective analytical calculation method for solving the bending problems of thin-walled box girders.

Keywords
thin-walled box girder, warping displacement, shear lag effect, shear deformation, bending performance
Milestones
Received: 28 June 2025
Revised: 13 August 2025
Accepted: 12 November 2025
Published: 16 February 2026
Authors
Qianhong Wang
School of Urban Construction
Wuhan University of Science and Technology
Wuhan, 430065
China
Xiao Wu
College of Mechanical Engineering
Hunan University of Arts and Science
Changde, 415000
China