An approach to multi-parameter warping displacement function for static analysis of curved trapezoidal thin-walled box girders

作者：Gan Ya Nan^*; Zhou Guang Chun; He Zhong Ying

来源：Journal of the China Railway Society, 2011, 33(7): 104-109.

DOI：10.3969/j.issn.1001-8360.2011.07.017

• Analytical solutions
• Box girder
• Closed solutions
• Difference functions
• Finite shell elements
• Generalized displacements
• Governing differential equations
• Longitudinal displacements
• Minimum potential principle
• Multiparameters
• Natural boundary condition
• Shear effect
• Shear lag
• Shear lag effects
• Shear lag theory
• Static characteristic
• Thin-walled
• Warping displacement
• Warping torsion

On the basis of the thin walled curved bars theory, the method to accurately analyze the static characteristics of curved trapezoidal thin-walled box girders is proposed. Three different longitudinal displacement difference functions are employed to accurately reflect the amplitudes of changes of shear lag in the thin-walled box girders with different widths of wing slabs. Taking into account the effect of flexure & warping torsion (including secondary warping shear effect), shear deformation and shear lag effects, the minimum potential principle is applied to establish the governing differential equations and corresponding natural boundary conditions, thus obtaining the closed solutions of generalized displacements of coupled flexure, torsion, warping and shear lag effects. The analytical solutions of this paper agree with the finite shell element solutions and the validity of the proposed method is verified. The deduced formulas help to develop the existing bending-beam shear lag theory.

• 出版日期2011
• 单位同济大学