Distortion warping displacement pattern of thin-walled box girders under the influence of non-uniform shear deformation and its corresponding beam-type finite element model
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Abstract
This study proposes a method for the distortion analysis of thin-walled box girders considering the influence of non-uniform shear deformation of each box-wall slab. Firstly, the distribution pattern of distortion shear flow across the cross-section is derived using the principles of stress equilibrium in micro-elements and the torsional self-balancing condition of the box girder cross-section. Then, by introducing the generalized displacement of shear distortion, according to the deformation continuity and internal force self-balancing conditions of the box girder cross-section, a theoretically sound and practical distribution function for the distortion and warping displacement of thin-walled box girders, accounting for the impact of non-uniform shear deformation is proposed. The governing differential equation for distortion is established through the principle of minimum potential energy. A practical 1D beam-type finite element model for box girder distortion analysis is then proposed, employing the Hermite interpolation function. The reliability and accuracy of this model are verified through a series of numerical examples involving different types of box girders. The results demonstrate that the in-plane and out-of-plane distortion warping stresses of the box-wall slabs, when considering non-uniform shear deformation, align well with measured values and three-dimensional finite element results. Notably, shear deformation significantly impacts the distortion effect of the top flange in box girders. Ignoring the influence of non-uniform shear deformation may lead to an underestimating the distortion warping stresses at critical cross-sections of box girder bridges. The research findings provide an effective means for the improved analysis of box girder distortion.
期刊介绍：
Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses.
Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering.
The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.
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