|Table of Contents|

Single-box multi-cell thin-walled box girder element considering equivalent shear deformation effect of webs(PDF)

长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2026年01期
Page:
118-128
Research Field:
桥梁与隧道工程
Publishing date:

Info

Title:
Single-box multi-cell thin-walled box girder element considering equivalent shear deformation effect of webs
Author(s):
LI Xia-yuan1; 2; 3;  WANG Lei1;  CHEN Jian-bing2;  SUN Xiao-feng3;  KANG Ai-hong1;  WAN Shui4
(1. School of Civil Engineering and Transportation, Yangzhou University, Yangzhou 225127, Jiangsu, China; 2. Jiangsu Key Laboratory of Structural Engineering, Suzhou University of Science and Technology, Suzhou 215011,Jiangsu, China; 3. Jiangsu Ruiwo Construction Group Co., Ltd., Yangzhou 225600, Jiangsu, China; 4. School of Transportation, Southeast University, Nanjing 211189, Jiangsu, China)
Keywords:
bridge engineering;  equivalent shear deformation;  single-box multi-cell;  thin-walled box girder;  shear locking;  Timoshenko beam element
PACS:
U441.5
DOI:
10.19721/j.cnki.1671-8879.2026.01.009
Abstract:
To investigate the influence of web shear deformation on the mechanical behavior of single-box multi-cell thin-walled box girders, a box Timoshenko beam element(TBE)considering the equivalent shear deformation effect of webs was developed. Based on the equilibrium conditions of micro-elements and deformation compatibility relationships, the shear flow distribution law of the single-box multi-cell thin-walled box section was established. According to the equivalent principle of shear strain energy of webs, three formulas for determining the coefficient of equivalent shear deformation effect of webs were proposed. By employing the homogeneous solution under the minimum potential energy principle and the Galerkin method under the Hellinger-Reissner variational principle, interpolation functions of generalized displacements of the element with shear deformation terms were constructed, and the mutual verification between the two theoretical methods was achieved. The stiffness matrix and equivalent nodal load vector of the box beam element accounting for shear deformation effect of webs were formulated using the minimum potential energy principle and the Hellinger-Reissner variational principle. The research results demonstrate that the proposed beam element is simple and computationally efficient. It can effectively overcome the shear locking problem, and the result is consistent with that from the modified stiffness matrix of classical beam element incorporating shear deformation effect. The proposed TBE model can accurately predict the distributions of internal force and deformation of single-box multi-cell thin-walled box girders, with the errors within 3% in calculation results compared to ABAQUS solid finite element solutions. When both the flange and web shear deformation effect needs to be considered in the calculation model, but no effective method is available, it is recommended to determine the coefficient of equivalent shear deformation effect using the average ratio of the maximum shear strain of each web to the mean shear strain. If the model can separately account for the shear deformation effects of flange and web, the coefficient should be determined based on the equivalent and actual shear strain energies of webs. For wide box girders, the shear lag effect should also be further considered.1 tab, 8 figs, 30 refs.

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Last Update: 2026-02-20