考虑腹杆变形的钢桁腹组合箱梁挠度计算方法

doi:10.13229/j.cnki.jdxbgxb.20231193

摘要/Abstract

摘要：

为分析腹杆变形对钢桁腹组合箱梁挠曲性能的影响，首先，从顶板、底板、腹杆以及组合箱梁截面转角出发建立位移函数，采用能量变分法求得组合箱梁挠曲位移表达式；其次，基于有限梁段法推导组合箱梁的梁段分析单元刚度矩阵及节点荷载列阵，求解组合箱梁挠曲位移；再次，分析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；最后，分析高跨比、腹杆直径、腹杆壁厚及腹杆倾角等构造参数对附加挠度的影响。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27.75%。在影响腹杆变形的构造参数中，腹杆壁厚对附加挠度的影响最大，随后依次是腹杆直径、高跨比和腹杆倾角。此外，附加挠度占比与高跨比及腹杆倾角呈正相关，与腹杆直径及腹杆壁厚呈负相关。

关键词: 桥梁与隧道工程, 腹杆变形, 挠度, 能量变分法, 有限梁段法

Abstract:

To analyze the influence of steel truss web deformation on the deflection of the steel truss composite box beam. Firstly， establishing displacement functions based on the rotation angle of the top flange， bottom flange， steel truss web，and composite box beam section， the expression of deflection displacement of composite box beam was obtained by energy variational method. Secondly， the beam segment analysis element stiffness matrix and nodal load array were derived based on the finite beam segment method， and the deflection displacement of the composite box beam was solved. Thirally， the deflection of the composite box beam under different load conditions for the compasite box beam were analyzed and compared with the elementary beam theory. Lastly， the influence of structural parameters such as height-span ratio， diameter of steel truss web， wall thickness of steel truss web and tilt angle of steel truss web on additional deflection were analyzed. The results show that， the influence of the deformation of the steel truss web deformation on the deflection of the composite box beam cannot be ignored， the maximum deflection error of the composite box beam was 27.75% by using the elementary beam theory. Among the structural parameters influence the deformation of the steel truss web， the wall thickness of steel truss web has the greatest influence on the additional deflection， followed by the diameter of steel truss web， the height-span ratio and the tilt angle of steel truss web. In addition， the additional deflection ratio was positively correlated with the height-span ratio and tilt angle of steel truss web， negatively correlated with the diameter of steel truss web and wall thickness of steel truss web.

Key words: bridge and tunnel engineering, steel truss web deformation, deflection, energy variational method, finite beam segment method

中图分类号:

U443.3

王方旭,刘世忠,杨霞林,姜宁,刘欣益,马驰. 考虑腹杆变形的钢桁腹组合箱梁挠度计算方法[J]. 吉林大学学报(工学版), 2025, 55(8): 2619-2629.

Fang-xu WANG,Shi-zhong LIU,Xia-lin YANG,Ning JIANG,Xin-yi LIU,Chi MA. Calculation method of deflection of composite box beam with considering the deformation of the steel truss web[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(8): 2619-2629.

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参考文献 21

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组件	几何尺寸/mm	数量	材料
腹杆	351×16	2	Q345C
开孔钢板	1 000×450×20	2	Q345C
对穿钢筋	25	2	2
键销钢筋	25	10	10
连接螺栓	M16	8	—

荷载形式	w_i 、ρ	计算方法
荷载形式	w_i 、ρ	Euler	ANSYS-M1	ANSYS-M2	Eq. （26）
简支梁集中荷载	w_i /mm	-2.133	-2.469	-2.611	-2.725
简支梁集中荷载	ρ/%	—	15.74	22.41	27.75
简支梁均布荷载	w_i /mm	-1.633	-1.835	-1.951	-2.035
简支梁均布荷载	ρ/%	—	12.34	19.47	24.62
连续梁均布荷载	w_i /mm	-0.797	-0.892	-0.944	-0.985
连续梁均布荷载	ρ/%	—	11.91	18.41	23.61

参数	高跨比	腹杆直径/mm	腹杆壁厚/mm	腹杆倾角/（°）
Ⅰ	23/116	331	14	60.10
Ⅱ	23/194	341	16	64.34
Ⅲ	23/272	351	18	67.00
Ⅳ	23/311	361	20	69.24
Ⅴ	23/350	371	22	71.07

荷载形式	高跨比	腹杆直径	腹杆壁厚	腹杆倾角
集中荷载	0.135	0.197	0.269	0.132
均布荷载	0.150	0.175	0.238	0.099