基于软化拉-压杆模型的RC空间边节点抗剪承载力计算方法

李振宝; 郝娜; 崔燕伟; 宋坤

doi:10.11899/zzfy20190101

基于软化拉-压杆模型的RC空间边节点抗剪承载力计算方法

doi: 10.11899/zzfy20190101

李振宝^1,,
郝娜^1,,
崔燕伟^{1, 2},
宋坤³

1.
北京工业大学, 工程抗震与结构诊治北京市重点实验室, 北京 100124
2.
河南城建学院, 土木与交通工程学院, 河南平顶山 467036
3.
燕山大学, 建筑工程与力学学院, 河北秦皇岛 066004

基金项目:

国家自然科学基金项目 51508493

河北省博士后科研项目 B2016005003

详细信息

作者简介:
李振宝, 男, 生于1962年。教授。主要从事工程结构抗震研究。E-mail:lizb@bjut.edu.cn

通讯作者:
郝娜, 女, 生于1992年。硕士研究生。主要从事工程结构抗震研究。E-mail:haona6710163.com

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出版历程
- 收稿日期: 2018-05-15
- 刊出日期: 2019-03-01

Shear Capacity Calculation Method of Reinforced Concrete Frame Spatial Exterior Joints Using Softened Strut and Tie Model

Li Zhenbao^1
,,
Hao Na^1
,,
Cui Yanwei^{1, 2},
Song Kun³

1.
Beijing Key Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China
2.
School of Civil and Transportation Engineering, Henan University of Urban Construction, Pingdingshan 467036, Henan, China
3.
School of Architecture Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, Hebei, China

摘要

摘要: 实际地震作用是多维的、随机的，框架节点在2个方向同时受力，其抗震能力相比于单向地震作用会降低。目前，对节点核心区在2个方向同时受力时抗剪承载力的研究尚未完善。在双向受力下，节点核心区2个方向传来的剪力形成合剪力作用面，在节点核心区内部形成不同于单向受力下的斜向斜压杆。本文基于软化拉-压杆模型，针对水平双向受力相同的空间边节点，在合剪力作用面内建立抗剪承载力计算模型，确定空间边节点核心区斜压杆以及钢筋拉杆的计算方法。利用有限元软件建立不同参数空间边节点模型，并收集部分空间节点试验数据，将剪力计算值与模拟值或试验值进行对比。结果表明，基于软化拉-压杆模型建立的双向受力下钢筋混凝土框架，其边节点抗剪承载力计算值与模拟值或试验值吻合良好。
- 空间边节点 /
- 双向受力 /
- 抗剪承载力 /
- 软化拉-压杆模型
Abstract: In practice, earthquake action is multi-dimensional and random, in which panel zone in frame structure is subjected to bidirectional loading.Under such case the anti-seismic capability may be lower than the designed capability based on unidirectional earthquake action.So far, the detailed calculation methods of shear capability for panel zone in reinforced concrete (RC) frame subjected to bidirectional loading has not been studied well.In this paper, we take reinforced concrete frame exterior joints under bidirecitional loading as a subject, and study the mechanical properties and shear mechanism of spatial exterior joints, in order to establish a calculation method of spatial exterior joints base on softened strut-and-tie model (SSTM), and to verify the accuracy of the calculation method.Obtained by the analysis, a synthetic shear force is imposed on panel zone and the inclined compression zone is formed at the end of column under bidirecitional loading, which is different from the shear mechanism under unidirectional loading.The spatial exterior joint models with different variables are established and analyzed with the software of ABAQUS, then we compare the simulated values to calculated values.The result shows that the calculation method of reinforced concrete frame exterior joints under bidirecitional loading based on SSTM is useful in providing calculated results with high accuracy.
- Spatial exterior joints /
- Bidirectional loading /
- Shear resistance /
- Softened strut and tie model

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图 1 空间边节点受力示意图

Figure 1. Schematic plot of the force of spatial exterior joints

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图 2 空间边节点抗剪机制

Figure 2. Shear-resisting mechanism of spatial exterior joints

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图 3 空间节点软化拉-压杆模型示意图

Figure 3. Softened strut-and-tie model(SSTM)of spatial joints

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图 4 空间边节点软化拉-压杆模型

Figure 4. Softened strut and tie model of spatial joints

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图 5 荷载位移曲线模拟值与试验值对比

Figure 5. Comparison of load-displacement curve between test results and simulated results

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图 6 模型示意图

Figure 6. Schematic plot of model

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表 1 有限元模拟值与试验值对比

Table 1. Comparison of simulated results and test results

对比项	屈服荷载/kN	屈服位移/mm	峰值荷载/kN	峰值位移/mm	极限荷载/kN	极限位移/mm
试验值	139.9	13	163.9	45	152.8	60
模拟值	148.4	11.5	161.8	41.8	137.6	54.6

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表 2 空间边节点参数及计算值与模拟值对比

Table 2. Comparison of spatial joints between calculated results and simulated results

模型编号	节点形式	h_b/mm	h_c/mm	f_ck/MPa	轴压比	柱纵筋配筋	箍筋配筋	计算值V_{jh, c}/kN	模拟值V_{jh, a}/kN	V_{jh, c}/V_{jh, a}
B-1	边节点	450	400	27.9	0.1	12C18+4C22	A10@50	474.17	550.09	0.862
B-2	边节点	450	400	27.9	0.1	12C18+4C22	A12@50	484.77	573.71	0.845
B-3	边节点	450	400	27.9	0.15	12C18+4C22	A10@50	486.51	552.99	0.879
B-4	边节点	450	400	27.9	0.3	12C18+4C22	A10@50	524.57	589.44	0.890
B-5	边节点	450	400	27.9	0.3	12C18+4C22	A12@50	535.17	602.73	0.888
B-6	边节点	450	400	27.9	0.45	12C18+4C22	A10@50	564.20	616.74	0.915
SP1	角节点	250	220	34.3	0.2	16D13	A6@80	216.18	262^*	0.825
SP2	角节点	250	220	29.1	0.6	16D13	A6@80	225.73	247.8^*	0.911
SP3	角节点	250	220	29.1	0.6	16D13	A10@80	253.41	275.8^*	0.919
注：f_ck为混凝土轴心抗压强度标准值；V_{jh, a}值中上标*的为试验值。

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