Shear Strength Calculation of RC Beams Without Shear Reinforcement Based on Crack Sliding Model

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

Abstract

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

CLC Number:

TU375

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.

Figures/Tables 17

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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