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Elastic Bending Theory Of Composite Bridge With Corrugated Steel Web Considering Shear Deformation

机译:考虑剪切变形的波纹钢腹板组合桥弹性弯曲理论

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摘要

The classical Euler-Bernoulli girder theory is not applicable due to shear deformation of corrugated steel web, elastic bending theory considering shear deformation is presented to analyze deflection and mechanical property. Differential equation is derived based on displacement field assumption, internal force equilibrium equations, deformation compatibility condition and relation of deformation and internal force, and solutions are obtained according to boundary and load condition. Simply supported I and box girder bridges with corrugated steel web are analyzed with elastic bending theory considering shear deformation, their predicted results are found in good agreement with those by 3D finite element analysis and test. A limit value of depth-span ratio is suggested for considering influence of shear deformation or not, the simplified formula of deflection in middle span is presented to guide deflection design. Corrugated web accounts for more than 80% of total shear force in the whole span under uniform load while one third apart from bearing under concentrated load in mid-span. The elastic bending theory considering shear deformation makes a reference for designing composite bridge with corrugated steel web.
机译:由于波纹钢腹板的剪切变形,经典的Euler-Bernoulli梁理论不适用,提出了考虑剪切变形的弹性弯曲理论来分析挠度和力学性能。基于位移场假设,内力平衡方程,变形相容条件以及变形与内力的关系,推导了微分方程,并根据边界条件和载荷条件获得了解。结合剪切变形,采用弹性弯曲理论对简支波形钢腹板箱梁桥进行了分析,其预测结果与3D有限元分析和试验结果吻合良好。提出了深跨比的极限值,以考虑剪切变形的影响与否,提出了跨度中的简化挠度公式,以指导挠度的设计。在均匀载荷下,波纹幅材在整个跨度中占总剪切力的80%以上,而在中等跨度中,在集中载荷下,瓦楞纸幅占轴承的三分之一。考虑剪切变形的弹性弯曲理论为波纹钢腹板复合桥的设计提供了参考。

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