基于裂缝滑移模型的无腹筋RC梁抗剪承载力计算

doi:10.12141/j.issn.1000-565X.230238

摘要/Abstract

摘要：

为了考虑翼缘对无腹筋钢筋混凝土（RC）梁抗剪承载力的影响，基于裂缝滑移模型，考虑了受压区的贡献、销栓作用贡献和受拉区骨料咬合作用的贡献，提出了一种无腹筋RC梁抗剪承载力计算公式。为验证该计算公式的准确性，分别应用该公式和国内外规范对收集的444根矩形截面梁与172根T形截面梁的试验数据进行计算，并将结果与国内外规范计算结果进行对比；基于所收集的数据集，利用5种常用的机器学习算法对收集的数据集进行回归分析，在数据集较小的情况下验证各算法的拟合度。结果表明：各国规范提出的抗剪承载力计算公式与试验值吻合较好；相较于规范的计算方法，该研究提出的计算方法较为准确，且可以有效地考虑T形截面梁翼缘对于抗剪承载力的贡献；选取的5个机器学习算法在测试集上表现良好，且与计算结果表现出了相同的规律，验证了机器学习算法在数据集较小的情况下对钢筋混凝土梁抗剪承载力计算的适用性。

关键词: 裂缝滑移模型, 钢筋混凝土, 抗剪承载力, T梁, 机器学习

Abstract:

In order to investigate the effect of flange on the shear capacity of reinforced concrete (RC) beams without stirrups, this study took into the contribution of compression zone, dowel action, and aggregate interlock in tension zone, and proposed a shear capacity calculation formula for RC beams without stirrups based on the crack sliding model. To verify the accuracy of the formula, the study used the formula and major design codes to calculate the collected experimental data of 444 rectangular beams and 172 T-shaped beams, and the results were compared with the results of major design codes. Five commonly used machine learning algorithms were used for regression analysis on the collected dataset, to verify the fit of each algorithm with a small dataset to analysis on the collected data, and the fitness of each algorithm was validated with a small dataset.The results show that: the shear capacity calculation method proposed by the codes of each country is in good agreement with the test results; compared to the calculation of the codes, the addressed calculation method herein is more accurate and can effectively account for the contribution of the T-beam flange to the shear capacity; the five machine learning models selected in this paper exhibit a desirable accuracy on the test set, and the results show the same trend as calculations; it also demonstrates the applicability of the machine learning models in the calculation of the shear capacity for reinforced concrete beams.

Key words: crack sliding model, reinforced concrete, shear capacity, T-beam, machine learning

中图分类号:

TU375

巩忠文, 熊二刚, 王文翔, 等. 基于裂缝滑移模型的无腹筋RC梁抗剪承载力计算[J]. 华南理工大学学报(自然科学版), 2024, 52(5): 114-126.

GONG Zhongwen, XIONG Ergang, WANG Wenxiang, et al. Shear Strength Calculation of RC Beams Without Shear Reinforcement Based on Crack Sliding Model[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(5): 114-126.

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参考文献	数据量	b/mm	h/mm	a /d	ρ_w/%	d_g/mm	f_c/MPa	φ/mm
ACIdatabase^［35］	279	50~706	80~2 100	2.41~8.10	0.139~5.269	5~51	12.25~105.36	6~35.8
Zararis等^［22］	165	50~612	80~1 250	2.62~9.05	3.36~0.59	—	10.5~98.8	—

参考文献	数据量	b_f/mm	b_w/mm	h_f/mm	h/mm	a/d	ρ_w/%	d_g/mm	f_c/MPa	φ/mm
ACIdatabase^［35］	40	330.2~609.6	76.2~177.8	6.35~101.5	139.7~469.9	7.4~2.5	1.473~4.091	6.4~19.0	13.23~43.11	9.5~28.7
Kani等^［36］	123	457~762	208~152	99~109	252~280 ^1）	2.50~14.16	1.7~9.5	—	18.48~40.22	—
Thamrin等^［37］	9	250~610	50~190	65~102	212~399 ^1）	3.3~10.4	0.49~5.20	—	32~40	—

方法	试验值/计算值均值	试验值/计算值标准差
ACI 318-19	1.411 1	0.271 9
CSCT	1.062 3	0.161 9
EC2	0.920 6	0.200 1
GB 50010—2010	1.208 1	0.302 4
文献［42］	1.064 1	0.205 5
本研究提出的算法	0.972 0	0.146 8

方法	试验值/计算值均值	试验值/计算值标准差
ACI 318-19	1.379 1	0.224 3
CSCT	1.095 4	0.209 2
EC2	1.004 9	0.208 5
GB 50010—2010	1.358 5	0.329 6
文献［42］	1.206 8	0.143 0
本研究提出的方法	0.859 2	0.154 0

层	网络结构	参数个数
1	［5， 14］	70
2	［14， 28］	392
3	［28， 56］	1 568
4	［56， 28］	1 568
5	［28， 14］	392
6	［14， 7］	98
7	［7， 1］	7