Analysis on additional deflection induced by effects of shear lag and shear deformation in box girders
Received:June 09, 2017  Revised:September 18, 2017
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DOI:10.7511/jslx20170609001
KeyWord:thin-walled box girder  shear lag effect  shear deformation  additional deflection  energy variation method
           
AuthorInstitution
张玉元 兰州交通大学 土木工程学院, 兰州
张元海 兰州交通大学 土木工程学院, 兰州
张慧 兰州交通大学 土木工程学院, 兰州
马瑛 兰州交通大学 土木工程学院, 兰州
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Abstract:
      The shear deformation of the webs of box girders was incorporated into the flexural deformation of the primary beam and the shear lag warping displacement mode was refined by introducing shear lag warping correction factor for the wholes cross section.The additional deflection induced by shear lag effect was chosen as generalized displacement.The influence of generalized displacement for shear lag was considered in calculation of potential energy.The governing differential equations for reflecting shear lag and shear deformation were established by applying energy variation method.The analytical solution of the additional deflection for shear lag and shear deformation of simply supported and two-span continuous box girders under uniform load was derived.Numerical examples show that the total deflections calculated in the present method are in good agreement with those by finite element method,validating the rationality of the present method.It is shown that the additional deflection caused by shear deformation is larger than that by shear lag for the box girder examples.The additional deflection for shear deformation and shear lag reaches respectively 2.5% and 1.97% of the primary beam deflection at the mid-span cross section of the simply supported box girder.For the two-span continuous box girder,the additional deflection reaches 27.45% and 16.87% of the primary beam deflection respectively at the cross section 9l/16 from the middle support.