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Analysis of the deflection of simply supported steel truss web composite box beam considering the shear deformation of the steel truss web

DOI：

 作者 单位 邮编 吕向明 天水师范学院 741000 王方旭* 兰州交通大学 730070 王鑫 天水师范学院

摘 要：为研究腹杆剪切变形对钢桁腹组合箱梁挠度的影响，首先将钢桁腹组合箱梁分解为由上、下翼板和钢桁架组成的叠层梁，引入腹杆剪切变形转角函数建立钢桁腹组合箱梁在荷载作用下的解析模型，以简支梁为例求解挠曲变形解析解；其次为简便计算组合箱梁跨中挠度，结合初等梁理论及解析解求得截面有效刚度，并利用有效刚度求解跨中挠度；最后分析了组合箱梁在不同荷载工况下的挠曲特性，并与初等梁理论进行对比；在此基础上分析了腹杆直径、腹杆壁厚、腹杆倾角等构造参数对有效刚度的影响。结果表明，腹杆变形对钢桁腹组合箱梁挠度的影响不可忽略，采用初等梁理论计算组合箱梁挠度的最大误差达到了13.61%，考虑腹杆剪切变形得到的解析解计算结果与有限元更接近，最大误差为6.24%；利用截面有效刚度可有效预测跨中挠度，与解析解最大误差为3.64%；构造参数对有效刚度的影响中，腹杆壁厚影响最大，其次是腹杆直径、腹杆倾角；此外，有效刚度与腹杆直径及腹杆壁厚呈正相关，而与腹杆倾角呈负相关。

To study the influence of steel truss web shear deformation on the deflection of steel truss web composite box beams, the beam was first decomposed into a laminated structure composed of top and bottom flanges and steel trusses. A steel truss web shear deformation angle function was introduced to establish an analytical model under load, and the flexural deformation was analyzed using a simply supported beam as an example. The effective stiffness of the cross-section was determined by combining Euler beam theory and the analytical solution, and the mid-span deflection was calculated using this effective stiffness. The flexural characteristics under different load conditions were analyzed and compared with the Euler beam theory. The influence of structural parameters such as steel truss web diameter, steel truss web wall thickness, and steel truss web inclination angle on the effective stiffness was also examined. The results show that considering steel truss web shear deformation provides an analytical solution closer to finite element results, with a maximum error of 6.24%. Using the effective stiffness can effectively predict the mid-span deflection, with a maximum error of 3.64% compared to the analytical solution. Among the structural parameters affecting the effective stiffness, steel truss web wall thickness has the greatest influence, followed by steel truss web diameter and steel truss web inclination angle. Additionally, the effective stiffness is positively correlated with steel truss web diameter and steel truss wall thickness but negatively correlated with steel truss web inclination angle.
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