ZHANG Yuyuan, ZHANG Yuanhai, ZHANG Hui. A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1282-1291. doi: 10.21656/1000-0887.380073
Citation: ZHANG Yuyuan, ZHANG Yuanhai, ZHANG Hui. A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1282-1291. doi: 10.21656/1000-0887.380073

A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis

doi: 10.21656/1000-0887.380073
Funds:  The National Natural Science Foundation of China(51468032;51268029;51508255)
  • Received Date: 2017-03-29
  • Rev Recd Date: 2017-12-05
  • Publish Date: 2018-11-01
  • With the additional deflection caused by the shear lag effect as a generalized displacement, the shear lag deformation of the box girder was separated from the elementary beam deflection as an independent state for analysis. The governing differential equations and the corresponding boundary conditions were established with the energy variational method. According to the simply supported boundary conditions, the analytical solutions of the additional deflection and the longitudinal stress were deduced under the concentrated load and the uniform load. The longitudinal stress analysis shows that the stresses calculated with the present method were in good agreement with those with the spline function method, validating the rationality of the present method. The deflection study shows that the additional deflection of shear lag diminishes from the span center section to the 2 ends. The shear lag additional deflection at the span center section reaches respectively 2.57% and 3.03% of the elementary beam deflection of the simply supported box girder under the uniform load and the concentrated load. With the increases of the height-span and width-span ratios, the additional deflection at the span center section of the box girder gradually decreases. In particular, the influence of the width-span ratio on the additional deflection is far greater than that of the height-span ratio.
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