An approach of two-parameter warping displacement function for the static analysis of straight rectangle box girders

作者：Gan Yanan^*; Zhou Guangchun; Wang Zhenbo

来源：China Railway Science, 2010, 31(6): 50-55.

• Analytical solutions
• Box girder
• Closed form solutions
• Difference functions
• Finite shell elements
• Generalized displacements
• Governing differential equations
• Longitudinal displacements
• Natural boundary condition
• Normal stress
• Principle of minimum potential energy
• Shear lag
• Shear lag effects
• Static characteristic
• Thin-walled
• Warping displacement
• Width ratio

This paper proposes an approach of analyzing the effect of the shear lag and the shear deformation on the static characteristics of rectangle thin-walled box girders generally used in engineering, in consideration of two different longitudinal displacement difference functions to accurately reflect the amplitude of change of shear lag in the thin-walled box girders with the wing slabs of various widths. The principle of minimum potential energy is applied to establish the governing differential equations and corresponding natural boundary condition, and the closed-form solutions of generalized displacements are obtained. The variations of the shear lag effects of rectangle thin-walled box girders, caused by the change of factors such as span-width ratio, type of loading are discussed. By the calculation examples, this study compares the finite shell element solutions with the traditional method and the analytical solutions of this paper, the result manifests that the approach of two-parameter warping displacement function can more accurately reflect the variations of the longitudinal displacement and the normal stress in the wing slabs, thus the analytical solutions of this paper is still more identical with the finite shell element solutions.

• 出版日期2010
• 单位南京大学