Discrepancy of Different Distortion Research Methods in the Distortional Calculation of Thin-Walled Box Girders
To investigated the distortion of thin-walled box girder under eccentric vertical load,based on energy-variational principle and the static equilibrium analysis of each plate of the box girder,three optimized distortional analysis methods of box girder were presented.The general form of analytical formula for the distortion of trapezoidal section box girder by various methods were deduced,and the corresponding fourth-order distortion control differential equation were obtained.Typical numerical examples were used to verify the distortion research methods.The results show that the calculated values of distortion warping normal stress by the optimized distortional research methods has little difference from the literature values,the maximum error between the methods is no more than 5.39%,and the calculation error of methods 2 and 3 is very small and can be ignored.For the distortional sector coordinates value of rectangular section box girder,the values of each method are equal,while those of trapezoidal section box girder are different.The calculated values of distortional warping moment of inertia and transverse bending moment of inertia of frame depend on the distortional analysis method.Under the action of distortional concentrated load,the simply supported box girder with only end diaphragm has reverse distortional deformation near the beam end.