The Research of Box Beam Warping Displacement Function

摘要

Based on the principle of minimum potential energy, choosing warping displacement function of parabolic displacement mode, using energy variational method to deduce Box beam shear lag effect analysis of differential equation to obtain shear lag warping stress. Through the calculation of simply supported box girder model and the analyse of the stress of Wide cantilever plate, box girder roof and box girder floor Assume a new warping displacement function. Through the analysis of measured results proved the rationality of this article assumes and research value. With the development of traffic construction, The study of box beam shear lag effect becomes deeper. In order to accurately describe the influence of shear lag effect, Ressner presents a warping displacement function of quadratic parabola pattern for Rectangular box without cantilever beam. He used the the principle of minimum potential energy established a differential equations considering shear lag effect. Domestic scholars conducted a variety of research for the form of the warping displacement function in the study of shear lag effect: Some literatures were used the quadratic parabola, three, four, five and six parabola, cosine function, index, elliptic curve and so on as a warping displacement function. Literature analyzed the effect of shear lag by using constructed different longitudinal displacement functions and Multi-parameter warping displacement function. I extensive analyzed the warping displacement function for parabolic model and the effect of different power of warping displacement function on Shear lag. Proposed warping displacement functions of different power modes for hanging panels, roof, floor of box girder and verify the correctness of the proposed conclusion.