YAO Xiaodong, ZHANG Yuanhai. Analysis of Shear Lag Effects in Box Girders Based on Abstract Warping Displacement Functions[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1351-1363. doi: 10.21656/1000-0887.390142
 Citation: YAO Xiaodong, ZHANG Yuanhai. Analysis of Shear Lag Effects in Box Girders Based on Abstract Warping Displacement Functions[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1351-1363.

# Analysis of Shear Lag Effects in Box Girders Based on Abstract Warping Displacement Functions

##### doi: 10.21656/1000-0887.390142
Funds:  The National Natural Science Foundation of China(51468032; 51268029)
• Rev Recd Date: 2018-06-28
• Publish Date: 2018-12-01
• In view of the shear lag problem in thin-walled box girders, based on the abstract warping displacement functions, the form of the control differential equation was studied. The basic form of the shear lag warping displacement function was constructed. The correction coefficient of the boundary constraint influence on the flanges was introduced, and then the control differential equation of shear lag was deduced under the energy variational principle. According to the finite element results, the value of the boundary constraint correction coefficient for the flanges was determined. A simply supported box girder with flanges was calculated and analyzed under uniform and concentrated loads, respectively. The analytical results are in good agreement with the finite element results. Moreover, the flange stresses are less than the corresponding top plate stresses. The comparison verifies the correctness of the proposed analytical method.
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