波形钢腹板组合梁弯曲变形的三角级数解

叶华文; 王力武; 张庆; 徐勋; 卫星

doi:10.3969/j.issn.0258-2724.20170277

波形钢腹板组合梁弯曲变形的三角级数解

doi: 10.3969/j.issn.0258-2724.20170277

基金项目: 国家自然科学基金资助项目（51408501）；四川省科技计划资助（2019YJ0223）

详细信息

作者简介:
叶华文（1982—），男，副教授，硕士生导师，研究方向为桥梁工程，E-mail：hwye@swjtu.edu.cn

中图分类号: TU311.4
计量
- 文章访问数: 495
- HTML全文浏览量: 236
- PDF下载量: 17
- 被引次数: 0
出版历程
- 收稿日期: 2017-04-14
- 修回日期: 2017-05-30
- 网络出版日期: 2019-04-25
- 刊出日期: 2019-08-01

Trigonometric Series Solution of Bending Deformation for Composite Beam with Steel Corrugated Webs

摘要

摘要: 为研究波形钢腹板剪切变形对波形钢腹板组合梁弯曲变形行为的影响，采用三角级数拟合简支波形钢腹板组合梁的变形曲线，各构件弯曲变形满足平截面假定，基于最小势能原理，推导了简支和悬臂波形钢腹板组合梁分别在均布荷载和集中荷载作用下的弯曲变形解析解和简化解；基于简化解推导出考虑剪切变形的波形钢腹板组合梁挠度增大系数，并给出对考虑剪切变形影响与否的高跨比界限；采用有限元方法验证了解析解和简化解的正确性和适用性. 研究结果表明：所提方法边界条件明确、推导过程简单、结果可靠、适用性强，可为波形钢腹板组合梁的设计和变形计算提供可靠的依据.
- 波形钢腹板组合梁 /
- 弯曲变形 /
- 最小势能原理 /
- 三角级数解 /
- 剪切变形
Abstract: In order to study the influence of shear deformation on the bending deformation of composite beams with steel corrugated steel webs, trigonometric series solution was introduced to simulate the deformation of the components (web and flange) of the beam according to the plane-section assumption, and a theoretical model was presented on the basis of the principle of minimum potential energy. Then, analytical solutions and respective simplified forms were derived for simply supported and cantilever corrugated steel web girder cases under uniform distribution and mid-span concentrated load. Furthermore, a limit value of depth-span ratio was suggested to estimate the influence of shear deformation with regard to magnifying coefficient of deflection. Validity and usability of the analytical solution and the model were determined by the finite element method. The results show that the presented method has advantages of ease in boundary condition and deduce, high reliability and universal applicability, and can be referred for deflection design of steel corrugated steel web beam.
- composite beam with steel corrugated web /
- bending deformation /
- principle of minimum potential energy /
- trigonometric series solution /
- shear deformation

HTML全文

图 1 波形钢腹板组合梁弯曲变形分析

Figure 1. Bending deformation of composite beam with steel corrugated web

下载: 全尺寸图片幻灯片

图 2 计算梁截面几何尺寸与有限元模型

Figure 2. Cross section and FEM model of the analysis beam

下载: 全尺寸图片幻灯片

图 3 简支梁与悬臂梁挠度比较分析

Figure 3. Deflection of simply supported and cantilever beams

下载: 全尺寸图片幻灯片

图 4 截面应变分布

Figure 4. Stress distribution in the cross section

下载: 全尺寸图片幻灯片

图 5 挠度解析解与简化解比较分析

Figure 5. Comparison of deflections from simplified method and analytical solution

下载: 全尺寸图片幻灯片

表 1 挠度计算值与实测值比较

Table 1. Comparison of predicted andexperimental deflections

试验	加载位置及方式	荷载/kN	f_t	f_tr	f_tr/f_t	f_th	f_th/f_t	f_j	f_tr/f_j
李宏江等^[4]	跨中单点加载	15	0.41	0.30	0.72	0.46	1.12	0.60	1.46
		20	0.56	0.40	0.71	0.61	1.09	0.80	1.43
		25	0.70	0.50	0.71	0.77	1.10	1.00	1.43
李宏江等^[12]	跨中单点加载	5	0.22	0.20	0.90	0.22	1.00	0.26	1.18
		10	0.48	0.40	0.83	0.44	0.92	0.52	1.08
		20	1.01	0.80	0.79	0.88	0.87	1.04	1.03
		30	1.41	1.19	0.85	1.33	0.94	1.58	1.12
		40	2.04	1.59	0.78	1.77	0.87	2.11	1.03
李立峰、刘志才、王芳等^{[6, 13-14]}	梁 A 跨中单点加载	11.6	0.53	0.51	0.96	0.56	1.06	0.62	1.16
		15.3	0.69	0.67	0.98	0.74	1.08	0.81	1.18
		20.3	0.92	0.89	0.97	1.04	1.13	1.07	1.16
		25.2	1.14	1.11	0.97	1.29	1.13	1.34	1.17
		30.1	1.36	1.33	0.98	1.54	1.13	1.60	1.18
		35	1.58	1.54	0.98	1.79	1.13	1.86	1.18
李立峰、刘志才、王芳等^{[6, 13-14]}	梁 B 跨中单点加载	10.5	0.47	0.50	1.05	0.56	1.20	0.59	1.26
		15.6	0.67	0.74	1.10	0.84	1.25	0.88	1.31
		20.3	0.88	0.96	1.09	1.09	1.24	1.14	1.30
		25.2	1.13	1.19	1.05	1.35	1.20	1.42	1.26
		30.4	1.38	1.43	1.04	1.63	1.18	1.71	1.24
		35.1	1.61	1.66	1.03	1.88	1.17	1.97	1.22
		40.4	1.85	1.91	1.03	2.22	1.20	2.28	1.23
Huang等^[15]	两点对称加载	50	0.26	0.18	0.68	0.27	1.02	0.28	1.08
Metwally等^[16]	A80 两点对称加载	100	3.39	1.65	0.49	3.08	0.91	3.66	1.08
	A110 两点对称加载	80	2.72	1.32	0.49	2.46	0.90	2.93	1.08
	A175 两点对称加载	60	2.37	0.99	0.42	1.85	0.78	2.19	0.92
	A215 两点对称加载	40	1.67	0.66	0.40	1.29	0.77	1.43	0.86

下载: 导出CSV

参考文献(16)

李淑琴, 万水, 乐斐. 波形钢腹板PC组合箱梁桥结构分析与实例[M]. 北京: 人民交通出版社, 2015: 5-10

胡华万,李俊,强士中. 波形钢腹板PC组合箱梁剪切屈曲性能研究[J]. 铁道工程学报,2011(2): 80-83. doi: 10.3969/j.issn.1006-2106.2011.02.016

HU Huawan, LI Jun, QIANG Shizhong. Study on shear buckling property of corrugated steel web PC combined box girder[J]. Journal of Railway Engineering Society, 2011(2): 80-83. doi: 10.3969/j.issn.1006-2106.2011.02.016

吴文清,叶见曙,万水. 波形钢腹板-混凝土组合箱梁截面变形的拟平截面假定及其应用研究[J]. 工程力学,2005,22(5): 177-180. doi: 10.3969/j.issn.1000-4750.2005.05.032

WU Wenqing, YE Jianshu, WAN Shui. Quasi plane assumption and its application in steel-concrete composite box girders with corrugated steel webs[J]. Engineering Mechanics, 2005, 22(5): 177-180. doi: 10.3969/j.issn.1000-4750.2005.05.032

李宏江,叶见曙,万水,等. 剪切变形对波形钢腹板箱梁挠度的影响[J]. 交通运输工程学报,2002,2(4): 17-20. doi: 10.3321/j.issn:1671-1637.2002.04.004

LI Hongjiang, YE Jianshu, WAN Shui, et al. Inf luence of shear deformation on def lection of box girder with corrugated steel webs[J]. Journal of Traffic and Transportation Engineering, 2002, 2(4): 17-20. doi: 10.3321/j.issn:1671-1637.2002.04.004

苏俭,刘钊. 波形钢腹板箱梁桥考虑剪切变形影响的挠度计算方法[J]. 中外公路,2010,30(3): 143-147.

SU Jian, LIU Zhao. Deflection calculation of girder bridge with corrugated steel web with consideration of shear deformation[J]. Journal of China & Foreign Highway, 2010, 30(3): 143-147.

李立峰,刘志才,王芳. 波形钢腹板组合箱梁弹性阶段弯曲理论及模型试验研究[J]. 公路交通科技,2008,25(1): 69-73. doi: 10.3969/j.issn.1002-0268.2008.01.013

LI Lifeng, LIU Zhicai, WANG Fang. Research on flexure theory at elastic stage and model test of composite box-girder with corrugated steel webs[J]. Journal of Highway and Transportation Research and Development, 2008, 25(1): 69-73. doi: 10.3969/j.issn.1002-0268.2008.01.013

MACHIMDAMRONG C, WATANABE E, UTSUNOMIYA T. An extended elastic shear deformable beam theory and its application to corrugated steel web girder[J]. Journal of Structural Engineering, 2003(49A): 29-38.

贺君,刘玉擎,陈艾荣,等. 折腹式组合梁桥考虑剪切变形的挠度计算[J]. 同济大学学报(自然科学版),2009,37(4): 440-444.

HE Jun, LIU Yuqing, CHEN Airong, et al. Deflection calculation of composite girder bridge with corrugated steel web with consideration of shear deformation[J]. Journal of Tongji University (Natural Science), 2009, 37(4): 440-444.

聂建国,李法雄,樊健生. 波形钢腹板梁变形计算的有效刚度法[J]. 工程力学,2012,29(8): 71-79.

NIE Jianguo, LI Faxiong, FAN Jiansheng. Effective stiffness method for calculating deflection of corrugated web girder[J]. Engineering Mechanics, 2012, 29(8): 71-79.

JOHNSON R P, CAFOLLA J. Corrugated webs in plate girders for bridge[J]. Proceedings of Institute of Civil Engineering Structure and Bridge, 1997, 123: 157-164.

宋随弟,黄博,祝兵,等. PBL剪力键承载能力研究[J]. 西南交通大学学报,2017,52(4): 1-8. doi: 10.3969/j.issn.1009-4474.2017.04.001

SONG Suidi, HUANG Bo, ZHU Bing, et al. Analysis of the bearing capacity of PBL shear connector[J]. Journal of Southwest Jiaotong University, 2017, 52(4): 1-8. doi: 10.3969/j.issn.1009-4474.2017.04.001

李宏江,叶见曙,万水,等. 波形钢腹板预应力混凝土箱梁的试验研究[J]. 中国公路学报,2004,17(4): 34-39.

LI Hongjiang, YE Jianshu, WAN Shui, et al. Experimental research on prestressed concrete box girder with corrugated steel webs[J]. China Journal of Highway and Transport, 2004, 17(4): 34-39.

刘志才. 波形钢腹板组合箱梁抗剪及抗弯分析[D]. 长沙: 湖南大学, 2007

王芳. 波形钢腹板组合箱梁力学性能试验研究[D]. 长沙: 湖南大学, 2007

HUANG L, HIKOSAKA H, KOMINE K. Simulation of accordion effect in corrugated steel web with concrete flanges[J]. Computers & structures, 2004, 82(23): 2061-2069.

METWALLY A, LOOV R E. Corrugated steel webs for prestressed concrete girders[J]. Materials and Structures, 2003, 36(2): 127-134. doi: 10.1007/BF02479526

施引文献

附加材料(0)

访问统计

点击查看大图

图(5) / 表(1)

计量

文章访问数: 495
HTML全文浏览量: 236
PDF下载量: 17
被引次数: 0

波形钢腹板组合梁弯曲变形的三角级数解

doi: 10.3969/j.issn.0258-2724.20170277

作者简介: 叶华文（1982—），男，副教授，硕士生导师，研究方向为桥梁工程，E-mail：hwye@swjtu.edu.cn

计量

出版历程

Trigonometric Series Solution of Bending Deformation for Composite Beam with Steel Corrugated Webs

计量

出版历程

目录

作者简介:
叶华文（1982—），男，副教授，硕士生导师，研究方向为桥梁工程，E-mail：hwye@swjtu.edu.cn