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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:

期数:

2026年02期

页码:

97-106

栏目:

桥隧工程

出版日期:

2026-03-30

文章信息/Info

Title:

Interaction equation for web bending-shear buckling accounting for effect of bending-tension stress

文章编号:

1673-2049(2026)02-0097-10

作者:

刘永健^1,2,3,毛飞¹,邢子寒¹

(1. 长安大学 公路学院,陕西 西安 710064; 2. 长安大学 公路大型结构安全教育部工程研究中心,陕西 西安 710064; 3. 重庆大学 土木工程学院,重庆 400044)

Author(s):

LIU Yongjian^1,2,3, MAO Fei¹, XING Zihan¹

(1. School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China; 2. Research Center of Highway Large Structure Engineering on Safety of Ministry of Education, Chang'an University, Xi'an 710064, Shaanxi, China; 3. School of Civil Engineering, Chongqing University, Chongqing 400044, China)

关键词:

腹板;  弯剪屈曲;  弯拉应力;  修正系数;  相关方程

Keywords:

web;  bending-shear buckling;  bending-tensile stress;  correction coefficient;  interaction equation

分类号:

TU311

DOI:

10.19815/j.jace.2025.12019

文献标志码:

A

摘要:

针对现行腹板弯剪屈曲计算中未考虑弯拉应力有利影响的问题,首先通过力学机理分析,阐释了弯拉应力抑制剪切屈曲的原因。随后将航空领域中轴拉-剪切共同作用下的相关方程与弯拉-剪切共同作用下的相关方程进行类比,并引入修正系数以反映轴拉应力向弯拉应力转换的差异,从而对现有弯剪相关方程进行修正。结合数值模拟探讨了应力梯度和弯剪比对弯剪屈曲的影响规律。基于计算结果,对修正系数进行了拟合,并对其分布特征进行了讨论。结果表明:现行计算方法仅适用于特定应力梯度的弯压-剪切工况; 所提修正公式与有限元计算结果变化趋势高度一致,可准确反映不同应力梯度、弯剪比下的弯剪屈曲规律; 修正系数拟合效果良好,能有效量化弯拉应力的有利影响,且其值围绕1.00小幅波动,近似服从正态分布,可通过简化适配工程应用; 算例验证显示,简化修正系数具备合理性,两种典型工况下临界应力限值大幅放宽,材料用量显著节省; 该方法可精准体现弯拉应力的有利效应,为钢箱梁、大跨简支组合结构的安全、经济与精细化设计提供可靠的理论依据。

Abstract:

In response to the problem of not considering the beneficial effects of bending-tension stress in the current calculation of web bending-shear buckling, the reasons for suppressing shear buckling by bending-tension stress were first explained through mechanical mechanism analysis. Subsequently, the relevant equations under the combined action of axial tension-shear in the aviation field were compared with those under the combined action of bending-tension and shear, and correction coefficient was introduced to reflect the difference in the conversion of axial tension stress to bending-tension stress, thus modifying the existing bending shear related equations. Combined with numerical simulations, the influence of stress gradient and bending-shear ratio on bending-shear buckling was explored. Based on the calculation results, the correction coefficient was fitted and its distribution characteristics were discussed. The results show that the current calculation method is only applicable to bending compression-shear conditions with specific stress gradients. The proposed correction formula is highly consistent with the trend of finite element calculation results, and can accurately reflect the bending-shear buckling law under different stress gradients and bending-shear ratios. The fitting effect of the correction coefficient is good, which can effectively quantify the beneficial effects of bending-tension stress, and its value fluctuates slightly around 1.00, approximately following a normal distribution. It can be simplified and adapted for engineering applications. The verification of calculation example shows that the simplified correction coefficient is reasonable, and the critical stress limit is significantly relaxed under two typical working conditions, resulting in significant savings in material usage. This method can accurately reflect the beneficial effects of bending-tension stress, providing a reliable theoretical basis for the safe, economical, and refined design of steel box girders and large-span simply supported composite structures.

参考文献/References:

[1] 周绪红,刘永健.钢桥[M].北京:人民交通出版社,2020.
ZHOU Xuhong, LIU Yongjian. Steel bridges[M].Beijing: China Communications Press, 2020.
[2]《中国公路学报》编辑部.中国桥梁工程学术研究综述·2024[J].中国公路学报,2024,37(12):1-160.
Editorial Department of China Journal of Highway and Transport. Review on China's bridge engineering research: 2024[J]. China Journal of Highway and Transport, 2024, 37(12): 1-160.
[3]贾高炯.钢箱梁桥设计[M].北京:人民交通出版社,2016.
JIA Gaojiong. Design of steel box girder bridges[M]. Beijing: China Communications Press, 2016.
[4]蒋丽忠,曾丽娟,孙林林.钢-混凝土连续组合梁腹板局部屈曲分析[J].建筑科学与工程学报,2009,26(3):27-31.
JIANG Lizhong, ZENG Lijuan, SUN Linlin. Local buckling analysis of web of continuous steel-concrete composite beam[J]. Journal of Architecture and Civil Engineering, 2009, 26(3): 27-31.
[5]赵 秋,陈 鹏,林志平,等.板肋加劲板整体稳定数值模拟与受力机理研究[J].建筑科学与工程学报,2022,39(6):64-73.
ZHAO Qiu, CHEN Peng, LIN Zhiping, et al. Study on force mechanism and numerical simulation of overall stability of stiffened panel with plate rib[J]. Journal of Architecture and Civil Engineering, 2022, 39(6): 64-73.
[6]STOWELL E Z, SCHWARTZ E B. Critical stress for an infinitely long plate with elastically restrained edges under combined shear and direct stress[R]. Washington DC: NACA, 1943.
[7]JOHNS D J. Shear buckling of isotropic and orthotropic plates: a review[R]. Loughborough: Loughborough University of Technology, 1971.
[8]WANG B W, CHEN X M, SUN X S, et al. Interaction formulae for buckling and failure of orthotropic plates under combined axial compression/tension and shear[J]. Chinese Journal of Aeronautics, 2022, 35(3): 272-280.
[9]CHEN X M, SUN X S, CHEN P H, et al. A delamination failure criterion considering the effects of through-thickness compression on the interlaminar shear failure of composite laminates[J]. Composite Structures, 2020, 241: 112121.
[10]CHEN X M, SUN X S, CHEN P H, et al. Rationalized improvement of Tsai-Wu failure criterion considering different failure modes of composite materials[J]. Composite Structures, 2021, 256: 113120.
[11]CHEN X M, SUN X S, WANG B W, et al. An improved longitudinal failure criterion for UD composites based on kinking model[J]. Mechanics of Advanced Materials and Structures, 2022, 29(6): 905-915.
[12]TIMOSHENKO S P, GERE J M. Theory of elastic stability[M]. Mineola: Dover Publications, 2009.
[13]陈向明,陈普会,孙侠生,等.复合材料板拉/压-剪复合载荷屈曲相关方程[J].航空学报,2021,42(12):225417.
CHEN Xiangming, CHEN Puhui, SUN Xiasheng, et al. Buckling interaction formulae of composite plates under combined axial compression/tension and shear loads[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(12): 225417.
[14]陈向明,李新祥,柴亚南,等.复合材料壁板后屈曲设计与分析技术研究进展[J].复合材料学报,2024,41(9):4673-4700.
CHEN Xiangming, LI Xinxiang, CHAI Yanan, et al. Research progress in post-buckling design and analysis techniques for composite stiffened panel[J]. Acta Materiae Compositae Sinica, 2024, 41(9): 4673-4700.
[15]CHOI S, PARK T, KIM H, et al. Ductile fracture prediction in thin-walled structures through a novel damage model[J]. Heliyon, 2024, 10(23): e40849.
[16]PEDRO J J O, NASCIMENTO S, HENDY C. Shear buckling resistance models for plate girders — review and improvements[J]. Engineering Structures, 2024, 307: 117857.
[17]周宗吾,尹玉秋,康文梅.简支钢-混凝土组合梁腹板的稳定分析[J].华北科技学院学报,2002(3):44-45.
ZHOU Zongwu, YIN Yuqiu, KANG Wenmei. Stability analysis of web of simply supported steel-concrete composite beam[J]. Journal of North China Institute of Science and Technology, 2002(3): 44-45.
[18]聂建国,丁 然.正弯矩区组合梁腹板局部稳定性研究[J].工程力学,2013,30(2):58-64.
NIE Jianguo, DING Ran. Study on local buckling of webs of composite beams subjected to positive bending moment[J]. Engineering Mechanics, 2013, 30(2): 58-64.
[19]陈绍蕃.钢结构稳定设计指南[M].3版.北京:中国建筑工业出版社,2013.
CHEN Shaofan. Guide to stability design of steel structures[M]. 3rd ed. Beijing: China Architecture & Building Press, 2013.
[20]钢结构设计标准:GB 50017—2017[S].北京:中国建筑工业出版社,2017.
Standard for design of steel structures: GB 50017—2017[S]. Beijing: China Architecture & Building Press, 2017.
[21]陈 骥.钢结构稳定理论与设计[M].3版.北京:科学出版社,2006.
CHEN Ji. Stability of steel structures theory and design[M]. 3rd ed. Beijing: Science Press, 2006.
[22]克里斯托斯·卡萨波格罗.飞机复合材料结构设计与分析[M].颜万亿,译.上海:上海交通大学出版社,2011.
KASSAPOGLOU C. Design and analysis of composite structures: with applications to aerospace structures[M]. Translated by YAN Wanyi. Shanghai: Shanghai Jiao Tong University Press, 2011.
[23]张 静,陈延峥,许文轩,等.拉伸作用下薄膜褶皱影响因素数值分析[J].工程科学与技术,2023,55(5):191-201.
ZHANG Jing, CHEN Yanzheng, XU Wenxuan, et al. Numerical analysis of wrinkles-influencing factors of membrane under tensile load[J]. Advanced Engineering Sciences, 2023, 55(5): 191-201.
[24]陈向明.复合材料加筋壁板后屈曲失效机理与失效预测方法[D].西安:西北工业大学,2021.
CHEN Xiangming. Postbuckling failure mechanism and failure prediction method of stiffened composite panels[D]. Xi'an: Northwestern Polytechnical University, 2021.
[25]MAIORANA E, PELLEGRINO C, MODENA C. Influence of longitudinal stiffeners on elastic stability of girder webs[J]. Journal of Constructional Steel Research, 2011, 67(1): 51-64.
[26]CHO E Y, SHIN D K. Elastic web bend-buckling analysis of longitudinally stiffened I-section girders[J]. International Journal of Steel Structures, 2011, 11(3): 297-313.
[27]KIM H S, PARK Y M, KIM B J, et al. Numerical investigation of buckling strength of longitudinally stiffened web of plate girders subjected to bending[J]. Structural Engineering and Mechanics, 2018, 65: 141-154.
[28]ZHANG L Z, JI Z M, WU H L, et al. Mechanical behavior of steel-concrete joint area(SCJA)in hybrid girder continuous rigid frame bridge[J]. Engineering Structures, 2025, 334: 120230.

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备注/Memo

备注/Memo:

收稿日期:2025-12-09
基金项目:中央高校基本科研业务费专项资金项目(300102214905)
作者简介:刘永健(1966-),男,工学博士,教授,博士生导师,E-mail:liuyongjian@chd.edu.cn。
Author resume: LIU Yongjian(1966-), male, PhD, professor, E-mail: liuyongjian@chd.edu.cn.

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更新日期/Last Update: 2026-04-01