矩形CFST受弯构件的塑性发展系数多因素模型及强度计算

doi:10.12141/j.issn.1000-565X.240059

华南理工大学学报(自然科学版) ›› 2024, Vol. 52 ›› Issue (11): 21-31.doi: 10.12141/j.issn.1000-565X.240059

矩形CFST受弯构件的塑性发展系数多因素模型及强度计算

庞木林¹(), 解威威², 杨绿峰¹()

^1.广西大学土木建筑工程学院/工程防灾与结构安全教育部重点实验室，广西南宁 530004
^2.广西路桥工程集团有限公司，广西南宁 530011

收稿日期:2024-02-05 出版日期:2024-11-25 发布日期:2024-05-11
通信作者: 杨绿峰（1966—），男，教授，博士生导师，主要从事复杂工程结构承载安全性研究。 E-mail:YLFDOC1@163.com
作者简介:庞木林（1994—），男，博士生，主要从事工程结构安全性分析与设计研究。E-mail:957604200@qq.com
基金资助:
国家自然科学基金重点项目(51738004);广西科技重大专项(桂科AA23062022);广西重点研发计划项目(桂科AB20297028)

Multi-Factor Model of Plastic Development Coefficient and Strength Calculation for Rectangular Concrete-Filled Steel Tube Members Under Pure Bending

PANG Mulin¹(), XIE Weiwei², YANG Lufeng¹()

^1.School of Civil Engineering & Architecture/Key Laboratory of Disaster Prevention and Structural Safety of the Ministry of Education，Guangxi University，Nanning 530004，Guangxi，China
^2.Guangxi Road & Bridge Engineering;Group Co. ，Ltd. ，Nanning 530011，Guangxi，China

Received:2024-02-05 Online:2024-11-25 Published:2024-05-11
Contact: 杨绿峰（1966—），男，教授，博士生导师，主要从事复杂工程结构承载安全性研究。 E-mail:YLFDOC1@163.com
About author:庞木林（1994—），男，博士生，主要从事工程结构安全性分析与设计研究。E-mail:957604200@qq.com
Supported by:
the Key Program of National Natural Science Foundation of China(51738004);the Guangxi Major Science and Technology Project(AA23062022);the Guangxi Key Research and Development Plan(AB20297028)

摘要/Abstract

摘要：

矩形钢管对核心混凝土的约束效应有其特殊性，准确预测受弯构件截面塑性发展能力可有效保证构件的承载安全。为提高矩形钢管混凝土受弯构件截面强度的计算精度，在套箍系数的基础上进一步考虑高宽比和含钢率的影响，建立塑性发展系数多因素模型和抗弯强度改进模型。首先，基于钢管混凝土统一理论，研究矩形钢管混凝土受弯构件塑性发展系数的变化规律，并与当前规范计算公式进行对比；然后，结合规范和工程需求构造2 160个矩形钢管混凝土受弯数值模拟构件，利用改进的本构关系和构件失效判据开展纤维模型法精细分析，研究宽厚比、高宽比、含钢率、强度比对塑性发展系数的影响，确定高宽比和含钢率为塑性发展系数的主要影响因素，通过回归分析拟合与高宽比和含钢率相关的函数表达式，由此建立矩形钢管混凝土塑性发展系数多因素模型和抗弯强度改进模型；最后，利用搜集到的128组试验数据，将抗弯强度改进模型与国内外主要设计规范进行对比验证。结果表明，建立的塑性发展系数多因素模型克服了现行规范中计算模型精确性不足的缺陷，能够更加准确地反映矩形钢管混凝土受弯构件的塑性发展能力；建立的矩形钢管混凝土受弯构件抗弯强度改进模型求解的极限承载力与试验值比值的均值为0.971，均方根误差为0.118，吻合良好，具有更高的计算精度。

关键词: 矩形钢管混凝土, 塑性发展系数, 抗弯强度, 纤维模型法

Abstract:

The constraint effect of rectangular steel pipe on core concrete has special characteristics, and the accurate prediction of the plastic development capacity of bending members can effectively ensure the load-bearing safety. In order to improve the calculation accuracy of the sectional strength of rectangular CFST members under pure bending, this study established a multi-factor model of plastic development coefficient and an improved bending strength model based on the confinement coefficient and further considering the influence of height-width ratio and steel ratio. First of all, based on the unified theory of CFST members, the change law of plastic development coefficient of rectangular concrete-filled steel tube was studied and compared with the current standard calculation formula. Then, combined with the specification and engineering needs, 2 160 numerical simulation components of rectangular CFST members under pure bending were constructed and the refined analysis of the fiber model method was conducted using the improved constitutive relationship and component failure criterion. The influence of width-thickness ratio, height-width ratio, steel ratio and strength ratio on plasticity development coefficient was investigated to determine that the height-width ratio and steel ratio are the main factors influencing the plasticity development coefficient, and the function expressions related to the height-width ratio and steel ratio were fitted through regression analysis. Thus the multi-factor model of plasticity development coefficient and strength calculation of rectangular CFST members under pure bending were established. Finally, the bending strength improvement model was verified against the main design specifications at home and abroad by using the 128 sets of experimental data collected. The results show that the established multi-factor model of plasticity development coefficient overcomes the defects of the current specification that the calculation model is not accurate enough, and it can more accurately reflect the plasticity development capacity of rectangular CFST members under pure bending. The established improvement model of the bending strength of rectangular CFST members under pure bending solved for the ratio of the ultimate load carrying capacity to the experimental value has a mean value of 0.971 and a root-mean-square error of 0.118, indicating a good match and a higher calculation accuracy.

Key words: rectangular concrete-filled steel tube, plasticity development coefficient, bending strength, fiber model method

中图分类号:

TU398

庞木林, 解威威, 杨绿峰. 矩形CFST受弯构件的塑性发展系数多因素模型及强度计算[J]. 华南理工大学学报(自然科学版), 2024, 52(11): 21-31.

PANG Mulin, XIE Weiwei, YANG Lufeng. Multi-Factor Model of Plastic Development Coefficient and Strength Calculation for Rectangular Concrete-Filled Steel Tube Members Under Pure Bending[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(11): 21-31.

图/表 10

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f_y/MPa	f_cu，k/MPa	B/mm	t/mm	β	α
200	30~100	100~400	2~10	0.50~2.00	0.03~0.39
300	30~100	100~400	2~10	0.50~2.00	0.03~0.39
400	30~100	100~400	2~10	0.50~2.00	0.03~0.39
500	30~100	100~400	2~10	0.50~2.00	0.03~0.39
600	30~100	100~400	2~10	0.50~2.00	0.03~0.39
700	30~100	100~400	2~10	0.50~2.00	0.03~0.39

数据来源	数量	β	θ	f_y/MPa	f_ck/MPa
汇总	128	0.5~2.0	11.3~105.3	198.0~750.0	12.5~89.3
文献［22］	4	1.0	23.5~44.1	198.0~311.0	12.5~16.9
文献［23］	12	0.6~1.7	16.0~39.7	377.0~432.0	34.2~39.4
文献［11］	16	1.0~2.0	20.5~50.0	293.8~330.1	16.7~26.0
文献［19］	18	1.0	46.7~105.3	235.0~282.0	43.9~59.6
文献［24］	8	1.0~1.7	11.3~18.8	410.0	32.1~54.1
文献［25］	6	1.0~1.6	26.2~50.7	316.6~319.3	71.9
文献［12］	12	1.0~1.7	25.3~31.0	409.0~495.0	56.4~82.1
文献［26］	5	1.0	42.0~102.0	300.0	23.0~37.8
文献［27］	3	1.0	22.0~42.0	750.0	24.2~26.0
文献［28］	9	1.0	22.5	345.0	14.5~21.8
文献［29］	3	1.0	16.0~16.7	465~756	89.1~89.3
文献［30］	6	1.0~2.0	46.2	363.0	49.1
文献［31］	16	1.0	22.0~42.9	261.0~392.0	25.6~30.4
文献［13］	6	1.0	25.0~37.5	416.3~436.9	59.9
文献［32］	4	0.5~1.0	50.1~100.1	392.0~402.0	36.1

方法	μ_R	RMSE
CFST国标^［9］	1.073	0.220
CFST地标^［10］	0.902	0.150
美国AISC^［3］	0.853	0.188
日本AIJ^［5］	0.769	0.247
欧洲EC4^［4］	0.886	0.144
英国BS5400^［6］	0.814	0.201
文中提出的方法	0.971	0.118

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矩形CFST受弯构件的塑性发展系数多因素模型及强度计算

Multi-Factor Model of Plastic Development Coefficient and Strength Calculation for Rectangular Concrete-Filled Steel Tube Members Under Pure Bending

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