Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (8): 2619-2629.doi: 10.13229/j.cnki.jdxbgxb.20231193

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Calculation method of deflection of composite box beam with considering the deformation of the steel truss web

Fang-xu WANG(),Shi-zhong LIU,Xia-lin YANG,Ning JIANG,Xin-yi LIU,Chi MA   

  1. School of Civil Engineering，Lanzhou Jiaotong University，Lanzhou 730070，China
  • Received:2023-11-02 Online:2025-08-01 Published:2025-11-14

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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

CLC Number: 

  • U443.3

Fig.1

Diagram of composite box beam with steel truss web"

Fig.2

Deformation diagram"

Fig.3

Diagram composite box beam cross-section"

Fig.4

Equivalent conversion of steel truss web"

Fig.5

Finite beam segment model"

Fig.6

Diagram of composite box beam （unit： m）"

Table 1

Node details parameters"

组件几何尺寸/mm数量材料
腹杆351×162Q345C
开孔钢板1 000×450×202Q345C
对穿钢筋2522
键销钢筋251010
连接螺栓M168—

Fig.7

Calculation flowchart diagram"

Fig.8

Finite element model"

Fig.9

Simplified loading diagram of condition Ⅰ"

Fig.10

Load-deflection curve in condition Ⅰ"

Fig.11

Simplified loading diagram of condition Ⅱ"

Fig.12

Load-deflection curve in condition Ⅱ"

Fig.13

Simplified loading diagram of condition Ⅲ"

Fig.14

Load-deflection curve in condition Ⅲ"

Table 2

Comparison of mid-span deflection under different conditions"

荷载形式wi 、ρ计算方法
EulerANSYS-M1ANSYS-M2

Eq.

（26）

简支梁

集中荷载

wi /mm-2.133-2.469-2.611-2.725
ρ/%—15.7422.4127.75

简支梁

均布荷载

wi /mm-1.633-1.835-1.951-2.035
ρ/%—12.3419.4724.62

连续梁

均布荷载

wi /mm-0.797-0.892-0.944-0.985
ρ/%—11.9118.4123.61

Table 3

Parameter value table"

参数高跨比腹杆直径/mm腹杆壁厚/mm腹杆倾角/（°）
Ⅰ23/1163311460.10
Ⅱ23/1943411664.34
Ⅲ23/2723511867.00
Ⅳ23/3113612069.24
Ⅴ23/3503712271.07

Fig.15

Mid-span deflection with different height- span ratio of Condition Ⅰ"

Fig.16

Mid-span deflection with different height- span ratio of condition Ⅱ"

Fig.17

Mid-span deflection with different diameter of steel truss web of condition Ⅰ"

Fig.18

Mid-span deflection with different diameter of steel truss web of condition Ⅱ"

Fig.19

Mid-span deflection with different wall thicknesses of steel truss web of condition Ⅰ"

Fig.20

Mid-span deflection with different wall thicknesses of steel truss web of condition Ⅱ"

Fig.21

Mid-span deflection with different tilt angle of steel truss web of condition Ⅰ"

Fig.22

Mid-span deflection with different tilt angle of steel truss web of condition Ⅱ"

Table 4

Significance index"

荷载形式高跨比腹杆直径腹杆壁厚腹杆倾角
集中荷载0.1350.1970.2690.132
均布荷载0.1500.1750.2380.099
[1] Jung K H, Kim J H J, Yi J W, et al. Development and evaluation of new connection systems for hybrid truss bridges[J]. Journal of Advanced Concrete Technology, 2013, 11(2):61-79.
[2] Tian Z J, Liu Y J, Jiang L, et al. A review on application of composite truss bridges composed of hollow structural section members[J]. Journal of Traffic and Transportation Engineering, 2019, 6(1): 94-108.
[3] Chen B C, Huang W J. Experimental research on ultimate load carrying capacity of truss girders made with circular tubes[J]. Journal of Building Structures, 2007, 28(3): 31-36.
[4] Chen S L, Zhang H, Hou C, et al. Reliability calibration for the design of multiple-chord CFST trusses by advanced analysis[J]. Structural Safety, 2021, 89: 102051.
[5] Hu B, Che R Y, Wang J F, et al. Analytical investigation into the flexural behavior of steel tubular truss-and-concrete (STTC) composite beams[J]. Structures, 2023, 50: 670-688.
[6] Chen Y Y, Dong J C, Xu T H. Composite box girder with corrugated steel webs and trusses—A new type of bridge structure[J]. Engineering Structures, 2018, 166: 354-362.
[7] Chen Y Y, Dong J C, Tong Z J, et al. Flexural behavior of composite box girders with corrugated steel webs and trusses[J]. Engineering Structures, 2020, 209: 110275.
[8] Hu B, Wang J. Experimental investigation and analysis on flexural behavior of CFSTTC beams[J]. Thin-Walled Structures, 2017, 116:277-290.
[9] Fong M, Chan S L. Advanced design for trusses of steel and concrete-filled tubular sections[J]. Engineering Structures, 2011, 33(12): 3162-3171.
[10] Peng G, Nakamura S, Zhu X, et al. An experimental and numerical study on temperature gradient and thermal stress of CFST truss girders under solar radiation[J]. Computers & Concrete, 2017, 20(5): 605-616.
[11] Huang W, Feng L, Chen B, et al. Experimental study on joint resistance and failure modes of concrete filled steel tubular (CFST) truss girders[J]. Journal of Constructional Steel Research, 2018, 141:241-250.
[12] Chen Y, Feng R, Gao S. Experimental study of concrete-filled multiplanar circular hollow section tubular trusses[J]. Thin-Walled Structures, 2015, 94:199-213.
[13] Feng R, Chen Y, Gao S, et al. Numerical investigation of concrete-filled multi-planar CHS inverse-triangular tubular truss[J]. Thin-Walled Structures, 2015, 94: 23-37.
[14] Huang Y H, Liu A R, Fu J Y, et al. Experimental investigation of the flexural behavior of CFST trusses with interfacial imperfection[J]. Journal of Constructional Steel Research, 2017, 137: 52-65.
[15] Zhou W, Chen Y, Wang K, et al. Experimental research on circular concrete filled stainless steel tubular truss[J]. Thin-Walled Structures, 2017, 117:224-238.
[16] Huang W, Lai Z, Chen B, et al. Concrete-filled steel tube (CFT) truss girders: Experimental tests, analysis, and design[J]. Engineering Structures, 2018, 156:118-129.
[17] 陈建兵, 蒋明利, 周晨, 等. 钢桁腹混凝土组合梁挠度计算方法研究[J]. 重庆交通大学学报: 自然科学版, 2022, 41(6): 66-72.
Chen Jian-bing, Jiang Ming-li, Zhou Chen, et al. Calculation method of deflection of steel truss web concrete composite beam[J]. Journal of Chongqing Jiaotong University (Natural Science Edition), 2022, 41 (6): 66-72.
[18] 李丽园.考虑剪切变形影响的波形钢腹板组合箱梁挠曲力学特性及其试验研究[D]. 兰州: 兰州交通大学, 土木工程学院, 2019.
Li Li-yuan. Vertical flexural mechanical characteristics and experimental study of composite box girder with corrugated steel web considering shear deformation[D]. Lanzhou: School of Civil Engineering, Lanzhou Jiaotong University, 2019.
[19] 王方旭, 杨霞林, 刘世忠. PBL节点初始平动刚度计算及设计参数优化[J]. 计算力学学报, 2022, 39(5): 574-581.
Wang Fang-xu, Yang Xia-lin, Liu Shi-zhong. Calc-ulation of initial translational stiffness of PBL nod-e and optimization of design parameters[J]. Journal of Computational Mechanics, 2022, 39(5): 574-581.
[20] 中交公路规划设计院有限公司. 公路桥涵设计通用规范: JTG D60—2015[M]. 北京: 人民交通出版社股份有限公司, 2015.
[21] 张岩. 钢桁腹式混凝土组合箱梁的力学性能研究[D]. 兰州: 兰州交通大学 土木工程学院, 2019.
Zhang Yan. Research on mechanical properties of concrete composite box girder with steel truss webs[D]. Lanzhou: School of Civil Engineering, Lanzhou Jiaotong University, 2019.
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