Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (11): 3641-3652.doi: 10.13229/j.cnki.jdxbgxb.20240260

Previous Articles    

Distortion effect of supported curved steel box composite girders with corrugated webs and flexible diaphragms

Rui-zheng WANG(),Yuan-hai ZHANG()   

  1. School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China
  • Received:2024-03-14 Online:2025-11-01 Published:2026-02-03
  • Contact: Yuan-hai ZHANG E-mail:wrz1198656362@163.com;zyh17012@163.com

Abstract:

In order to accurately analyze distortion effect of supported curved steel box composite girders with corrugated webs (CSBCG-CSWs) and flexible diaphragms, in this paper the distortion warping displacement mode of CSBCG-CSWs was established based on the relationship between distortional warping displacement, bending-torsion coupled displacement and internal force of composite girder, and the potential energy of the additional distortion frame deflection caused by the bending-torsion coupled effect was derived. The anti-distortion stiffness of flexible diaphragms was solved by using virtual work principle. The distortion differential equation was established based on the energy variational method, and the influencing factors of CSBCG-CSWs distortion effect were analyzed. The results if the study show that the analytical solution in this paper was in good agreement with the experimental value and Abaqus numerical solution. Compared with the results without the intermediate diaphragm of plate-type, the maximum distortion bi-moment is reduced by 77.7%, 85.6% respectively when 1~2 passes intermediate diaphragm of plate-type are set. Compared with the results of setting intermediate diaphragms of X-type and K-type, the maximum distortion bi-moment is reduced by 25% when diaphragm of plate-type is set. The distortion effect caused by concentrated load is mainly affected by the presence or absence of diaphragms at the loading point. The uniform load can better reflect the overall distortion effect of the composite box girder with intermediate diaphragm. When the distortion stress ratio of the steel box composite girder with corrugated webs is controlled within 10% and 5% respectively, the intermediate diaphragm spacing needs to be satisfied: the straight steel box composite girder is less than 8m and 6m, and the curved steel box composite girder is less than 6m and 5m respectively,and distortion stress ratio can be reduced when the self-gravity load is taken into account. The increase of intermediate diaphragm thickness has no obvious enhance on suppressing effect the distortion effect of the straight and curved steel box composite girder with corrugated web when the thickness of the intermediate diaphragm of plane-type is more than 6mm. When the central angle increases from 0° to 28°, the distortional warping normal stresses of 1/4-span and 1/2-span cross-setions of CSBCG-CSWs increase by 74.6% and 87.4%, respectively.

Key words: bridge engineering, composite girder with corrugated steel web, variation calculus, distortion, diaphragm rigidity

CLC Number: 

  • U448.213

Fig.1

Corrugated steel web"

Fig.2

Equivalent section of CSBCG-CSWs"

Fig.3

Internal force of curved girder section"

Fig.4

Distortion warping displacement function distribution"

Fig.5

Distortion deformation"

Fig.6

Radial force of CSBG-CSWs"

Fig.7

Additional force of frame element"

Fig.8

The force of diaphragm"

Fig.9

Experimental girder diagram (unit: mm)"

Table 1

Distortion angle of mid-span section"

本文解析解/10-5rad文献[4]解析解/10-5rad文献[19]数值解/10-5rad文献[19]实验值/10-5rad偏差1/%偏差2/%偏差3/%
5.1715.0124.7064.698.999.303.07

Fig.10

Distortion warping normal stress (unit: MPa)"

Fig.11

Distortion bi-moment distribution"

Fig.12

Distortion stress ratio of different diaphragm spacing"

Table 2

Anti-distortion stiffness of diaphragm"

横隔板类型

本文解/

(kN·m-1

钢桥规/

(kN·m-1

钢桥规/本文解
实腹式4.992×1061.997×1074
X型4.104×1051.641×1064
K型4.055×1051.622×1064

Fig.13

Distortion bi-moment of different diaphragm forms"

Fig.14

Influence of diaphragm thickness"

Fig.15

Influence of curvature radius"

[1] 聂建国, 陶慕轩, 吴丽丽, 等. 钢-混凝土组合结构桥梁研究新进展[J]. 土木工程学报, 2012, 12(6): 110-122.
Nie Jian-guo, Tao Mu-xuan, Wu Li-li, et al. Advances of research on steel-concrete composite bridges[J]. China Civil Engineering Journal, 2012, 12(6): 110-122.
[2] 封博文, 刘永健, 周绪红, 等. 曲线工字钢-混凝土组合梁弯扭性能1∶2模型实验[J]. 中国公路学报, 2023, 5(36): 109-127.
Feng Bo-wen, Liu Yong-jian, Zhou Xu-hong, et al. Experimental study on the flexural-torsional behavior of a 1∶2 scale model of a curved steel-concrete composite twin I-girder bridge[J]. China Journal of HighWay and Transport, 2023, 5(36): 109-127.
[3] 闫新凯, 刘永健, 邢子寒, 等. 曲线双工字钢组合梁桥横梁受力分析研究[J]. 建筑科学与工程学报, 2022, 5(39): 63-73.
Yan Xin-kai, Liu Yong-jian, Xing Zi-hai, et al. Research on internal force of crossbeam in curved steel-concrete composite twin I-girder bridge[J]. Journal of Architecture and Civil Engineering, 2022, 5(39): 63-73.
[4] 张元海. 设置跨内横隔板的箱形梁畸变效应分析[J]. 土木工程学报, 2021, 54(11): 91-98.
Zhang Yuan-hai. Analysis on distortion effect of box girders with inner-span diaphragms[J]. China Civil Engineering Journal, 2021, 54(11): 91-98.
[5] Wang C, Zhang Y S, Zhang X L, et al. Coupled bending-torsion behavior of single-box multi-cell curved composite box-girders with corrugated-steel-webs[J]. Journal of Construction Steel Research, 2022, 196: 107411.
[6] 许立言, 郭婷, 张屹垚, 等. 曲线波形腹板组合箱梁空间受力性能研究[J]. 建筑结构学报, 2023, 44(): 165-173.
Xu Li-yan, Guo Ting, Zhang Yi-yao, et al. Study on spatial mechanical behavior of curved composite box girder with corrugated steel webs[J]. Journal of Building Structures, 2023, 44(Sup.1): 165-173.
[7] Zhu L, Su R K, Li M. Finite beam element with 26 DOFs for curved composite box girders considering constrained torsion, distortion, shear lag and biaxial slip[J]. Engineering Structures, 2021, 232: 1-26.
[8] 张元海, 马云亮, 刘泽翔. 考虑扭转与畸变耦联影响的薄壁箱梁翘曲效应分析[J]. 东南大学学报: 自然科学版, 2023, 53(3): 418-424.
Zhang Yuan-hai, Ma Yun-liang, Liu Ze-xiang. Analysis on distortion effect of thin-walled box girders considering coupling between torsion and distortion[J]. Journal of Southeast University (Natural Science Edition), 2023, 53(3): 418-424.
[9] Ren Y Z, Cheng W M, Wang Y Q, et al. Distortional analysis of simply supported box girders with inner diaphragms considering shear deformation of diaphragms using initial parameter method[J]. Engineering Structures. 2017, 145: 44-59.
[10] Ren Y Z, Cheng W M, Wang Y Q, et al. Analysis of the distortion of cantilever box girder with inner flexible diaphragms using initial parameter method[J]. Thin-walled Structure, 2017, 117: 140-154.
[11] 尼颖升, 孙启鑫, 马晔, 等. 基于空间网格分析的多箱室波形钢腹板组合梁腹板剪力分配[J]. 吉林大学学报: 工学版, 2018, 48(6): 1735-1746.
Ni Ying-sheng, Sun Qi-xin, Ma Ye, et al. Shear distribution of multi-cell corrugated steel web composite beams based on space grid analysis[J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48(6): 1735-1746.
[12] 尼颖升, 马晔, 徐栋, 等. 波形钢腹板斜拉桥剪力滞效应空间网格分析方法[J]. 吉林大学学报: 工学版, 2017, 47(5): 1453-1464.
Ni Ying-sheng, Ma Ye, Xu Dong, et al. Space mesh analysis method for shear lag effect of cable-stayed bridge with corrugated steel webs[J]. Journal of Jilin University (Engineering and Technology Edition), 2017, 47(5): 1453-1464.
[13] 邓文琴, 毛泽亮, 刘朵, 等. 单箱三室波形钢腹板悬臂梁扭转与畸变分析及试验研究[J]. 建筑结构学报, 2020, 41(2): 173-181.
Deng Wen-qin, Mao Ze-liang, Liu Duo, et al. Analysis and experimental study on torsion and distortion of single box three-cell cantilever girder with corrugated steel webs[J]. Journal of Building Structures, 2020, 41(2): 173-181.
[14] 喻文杰, 高子健, 邓文琴, 等. 新型波形腹板组合箱梁桥横隔板间距研究[J]. 现代交通技术, 2021, 18(4): 37-41.
Yu Wen-jie, Gao Zi-jian, Deng Wen-qin, et al. Research on diaphragm spacing for new type of composite box girder bridge with corrugated steel webs[J]. Modern Transportation Technology, 2021, 18(4): 37-41.
[15] Shi F, Wang D S, Chen L. Study of flexural vibration of variable cross-section box-girder bridges with corrugated steel webs[J]. Structures, 2021(33): 1107-1118.
[16] 李卓庭, 宋郁民. 曲梁几何方程推导[J]. 工程力学, 2019, 36(): 12-16.
Li Zhuo-ting, Song Yu-min. Geometric equation derivation of curved beam[J]. Engineering Mechanics, 2019, 36(Sup.1): 12-16.
[17] 孙广华. 曲线梁桥计算[M]. 北京:人民交通出版社, 1995.
Sun Guang-hua. Curved Girder Bridge Calculation[M]. Beijing: China Communications Press, 1995.
[18] 程翔云. 梁桥理论与计算[M]. 北京:人民交通出版社, 1990.
Cheng Xiang-yun. Theory and Calculation of Girder Bridge[M]. Beijing: China Communications Press, 1990.
[19] Zhang Y L, Wang C, Zhang X S, et al. Exact distortional behavior of single-box multicell curved composite box girders with corrugated steel webs in the elastic stage[J]. Engineering Structures, 2023, 297: 116961.
[20] . 公路钢结构桥梁设计规范 [S].
[1] Liang FAN,Wen ZENG,Qiang WEN,Fu-yu ZHAO,Ying-ming XU. Vibration characteristics of prefabricated steel-concrete composite beam bridges with clustered grouping bolt connection and analysis of vehicle-bridge coupling [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(7): 2354-2364.
[2] Ping YUAN,Ya-fu CAI,Li-zhao DAI,Bi-qin DONG,Lei WANG. Topology search method for structural 3D load paths based on distortion control of corrosion-damaged elements [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(7): 2212-2222.
[3] Yong-jun ZHOU,Feng-rui MU,Cheng CAI,Fan YANG. Influence factors of preload loss in cable clamp bolt of suspension bridge based on orthogonal experiment method [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(4): 1188-1196.
[4] Mi ZHOU,Xing-wang TIAN,Guo-qiang ZHU,Lei MA. Direct shear strength of UHPC wet joints in precast piers [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(12): 3928-3941.
[5] Fu-cheng ZHOU,Yuan-hai ZHANG,Yan-hong WEI. Transverse bending moment analysis considering the influence of the distortion warping stress distribution range of the corrugated steel webs [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(11): 3498-3506.
[6] Yong-xin SUN,Peng-zhen LIN,Zi-jiang YANG,Wei JI. Calculation method for crack width of UHPC beams considering bond slip effect [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(9): 2600-2608.
[7] Yu-xin XUE,Yong-jun ZHOU,Ye-lu WANG,Kai-xiang FAN,Yu ZHAO. Application of dynamic load allowance test method of simply supported girder bridge based on suspension hammer system [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(9): 2557-2567.
[8] Bao-dong LIU,Fang LI,Xiao-xi WANG,Meng GAO. Flexural stiffness and bearing capacity of corrugated steel plate composite structures reinforced by concrete [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(9): 2502-2510.
[9] Xue-lian GUO,Wan-shui HAN,Tao WANG,Kai ZHOU,Xiu-shi ZHANG,Shu-ying ZHANG. Assessment method of resistant overturning stability safety factors of curved bridge under customized transport vehicles [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(8): 2229-2237.
[10] Lin XIAO,Huan-bo WEI,Xing WEI,Zhi-rui KANG. Numerical analysis on cracking behavior of concrete slab due to corrosion expansion of stud connector in steel-concrete composite beam [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(7): 1958-1965.
[11] Han-hui HUANG,Kang-ming CHEN,Qing-xiong WU. Flexural behavior of composite continuous girders with concrete-filled steel tubular truss chords [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(6): 1665-1676.
[12] Chun-lei ZHANG,Chang-yu SHAO,Qing-tian SU,Chang-yuan DAI. Experimental on positive bending behaviour of composite bridge decks with steel-fiber-reinforced concrete and longitudinal bulb-flat ribs [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(6): 1634-1642.
[13] Chang-jiang SHAO,Hao-meng CUI,Qi-ming QI,Wei-lin ZHUANG. Longitudinal seismic mitigation of near⁃fault long⁃span RC soft⁃lighten arch bridge based on viscous damper [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(5): 1355-1367.
[14] Qiu ZHAO,Peng CHEN,Yu-wei ZHAO,Ao YU. Overall mechanical performance of jointless bridges with arch structure behind abutment [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 1016-1027.
[15] Yin-shui HE,He XIAO,Cang-hai LUO,Yu ZHANG,Zhuo-hua YU,Hai-tao YUAN. Autonomous decision⁃making of welding positions based on analytic hierarchy process in T⁃joint arc welding [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 657-662.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!