矩形截面连续纤维GFRP箍筋弯曲段受拉性能

公衍斌; 王震宇; 邵永波; 常志远

矩形截面连续纤维GFRP箍筋弯曲段受拉性能

1.
烟台大学　土木工程学院, 烟台 264005
2.
西华大学　建筑与土木工程学院, 成都 610039

基金项目: 国家自然科学基金 (52278222)；山东省自然科学基金(ZR2022ME007)；烟台大学研究生科研创新基金(KGIFYTU2315)

详细信息

通讯作者:
王震宇，博士，教授，博士生导师，研究方向为纤维增强复材及其在海洋工程中的应用。　E-mail: zywang@ytu.edu.cn

中图分类号: TU502+.6；TB332
计量
- 文章访问数: 36
- HTML全文浏览量: 26
- 被引次数: 0
出版历程
- 收稿日期: 2024-06-18
- 修回日期: 2024-07-18
- 录用日期: 2024-07-26
- 网络出版日期: 2024-08-30

Bend capacity of continuous fiber GFRP stirrups with rectangular section

1.
School of Civil Engineering, Yantai University, Yantai 264005, China
2.
School of Architecture and Civil Engineering, Xihua University, Chengdu 610039, China

Funds: National Natural Science Foundation of China (52278222); Natural Science Foundation of Shandong, China (ZR2022ME007); Yantai University Graduate Student Research Innovation Foundation (KGIFYTU2315)

摘要

摘要: 纤维增强复合材料(FRP)箍筋角部弯曲段受拉强度是箍筋破坏的关键控制参数，为研究新型矩形截面连续纤维玻璃纤维增强树脂复合材料(GFRP)箍筋的弯曲段受拉性能，采用ACIB.5试验方法测试并得到了9种不同矩形截面GFRP箍筋与传统拉挤圆形截面箍筋的弯曲段受拉强度，考察了箍筋形式、截面宽度、厚度及宽厚比对GFRP箍筋弯曲段受拉性能的影响规律。试验结果表明，矩形截面连续纤维GFRP箍筋的弯曲段受拉强度与圆形截面拉挤箍筋相比有明显提高。弯曲段受拉强度与直线段受拉强度之比随矩形截面厚度的减小而增大，随截面宽度增加而减小。当截面面积一定时，随着宽厚比的增大，弯曲段受拉强度与直线段受拉强度之比呈增大趋势，但增长幅度逐渐减小。根据试验数据建立了考虑弯曲半径与截面宽厚比影响的矩形截面连续纤维GFRP箍筋弯曲段受拉强度预测模型，箍筋弯曲半径建议在25~40 mm范围内取值，依据不同的弯曲半径，连续纤维GFRP箍筋最优宽厚比的建议取值范围为2~8，为该类箍筋实际应用提供了设计依据。
- GFRP /
- 箍筋 /
- 矩形截面 /
- 弯曲段 /
- 受拉性能
Abstract: The bend strength is a key control parameter for fiber-reinforced polymer (FRP) stirrup. To investigate the bend capacity of the new type of continuous fiber GFRP stirrups with a rectangular section, the bend strength of nine types of continuous fiber GFRP stirrups with different cross-section sizes and the traditional pultruded stirrups were tested using the ACIB.5 test method. The influences of the form of the stirrup, the width, the thickness, and the width-to-thickness ratio on the bend capacity of the continuous fiber GFRP stirrups with a rectangular section were investigated. The test results show that the bend strength of the new type of GFRP stirrup is significantly improved compared with that of the pultruded stirrup. The ratio of the bend strength to the tensile strength increases with the decrease of the thickness of the continuous fiber GFRP stirrup and decreases with the increase of the width. When the cross-sectional area is certain, the width-to-thickness ratio increases and the ratio of the bend strength to the tensile strength shows a tendency to increase, but the growth gradually decreases. Based on the experimental data, a bend strength prediction model for the GFRP stirrups with a rectangular section considering the effect of bend radius and width-to-thickness ratio was established. The bend radius of the continuous fiber GFRP stirrup is recommended to be taken in the range of 25-40mm. According to the different bend radii, the optimal width-to-thickness ratio of continuous fiber GFRP stirrup is recommended to be taken in the range of 2-8, which could be used in practical engineering.
- GFRP /
- stirrup /
- rectangular section /
- bend strength /
- bend capacity

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图 1 箍筋弯曲段受拉强度测试装置(单位：mm)

Figure 1. Experimental set-up for the bend strength of stirrups (Units: mm)

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图 2 箍筋弯曲段受拉试验破坏模式

Figure 2. Failure modes of the bend test of stirrups

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图 3 箍筋弯曲段受拉性能试件的弯曲段受拉强度与直线段受拉强度之比

Figure 3. The ratio of the bend strength to the tensile strength for specimens of bend capacity

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图 4 截面尺寸对箍筋弯曲段受拉性能试件的弯曲段与直段受拉强度之比的影响

Figure 4. Effect of the dimension of cross-section on the ratio of the bend strength to the tensile strength for speci- mens of bend capacity

EXP is experimental value; PRE is predicted curve

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图 5 箍筋弯曲段受拉性能试件弯曲段受拉强度试验值和预测值的比较

Figure 5. Comparison of experimental and predicted bend strength for specimens of bend capacity

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图 6 基于本文模型的不同截面面积下截面宽厚比和弯曲段受拉强度与直线段受拉强度比的关系

Figure 6. The relationship between width-to-thickness ratio and the ratio of bend strength to tensile strength for differ- ent cross-sectional areas based on the paper model

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图 7 基于本文模型的弯曲半径 r 与截面最优宽厚比的关系

Figure 7. The relationship between the bend radius and the optimal width-to-thickness ratio based on the paper model

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表 1 箍筋弯曲段受拉性能试件工况与试验结果

Table 1. Specimen design and test results of the bend test

Group	Specimens	Numbers	N	w/mm	t/mm	w/t	A_fv/mm²	f_fb/MPa	f_fb,avg/MPa	COV/%	f_fb/f_fu	υ_k/%
Continuous fiber GFRP rectangular section stirrups	C-9×3	1	8	9	3	3	27.0	824.8	892.2	5.09	0.81	0.15
		2	8	9	3	3	27.0	885.9
		3	8	9	3	3	27.0	878.5
		4	8	9	3	3	27.0	935.7
	C-18×1.5	1	4	18	1.5	12	27.0	870.6	933.3	8.14	0.85	0.15
		2	4	18	1.5	12	27.0	865.4
		3	4	18	1.5	12	27.0	1009.1
		4	4	18	1.5	12	27.0	988.3
	C-9×6	1	16	9	6	1.5	54.0	765.8	726.5	3.96	0.66	0.14
		2	16	9	6	1.5	54.0	700.5
		3	16	9	6	1.5	54.0	728.9
		4	16	9	6	1.5	54.0	710.5
	C-18×3	1	8	18	3	6	54.0	727.2	784.6	6.68	0.72	0.15
		2	8	18	3	6	54.0	796.4
		3	8	18	3	6	54.0	763.9
		4	8	18	3	6	54.0	850.8
	C-12×4.5	1	12	12	4.5	2.7	54.0	742.5	760.6	2.90	0.69	0.15
		2	12	12	4.5	2.7	54.0	763.2
		3	12	12	4.5	2.7	54.0	790.6
		4	12	12	4.5	2.7	54.0	745.8
	C-14×3.75	1	10	14	3.75	3.7	52.5	778.3	773.3	2.92	0.71	0.15
		2	10	14	3.75	3.7	52.5	800.5
		3	10	14	3.75	3.7	52.5	768.2
		4	10	14	3.75	3.7	52.5	746.1
	C-14×4	1	10	14	4	3.5	56.0	787.5	768. 7	5.84	0.70	0.15
		2	10	14	4	3.5	56.0	804.7
		3	10	14	4	3.5	56.0	691.7
		4	10	14	4	3.5	56.0	790.9
	C-14×5	1	10	14	5	2.8	70.0	649.3	722.4	8.41	0.66	0.19
		2	10	14	5	2.8	70.0	702.4
		3	10	14	5	2.8	70.0	817.4
		4	10	14	5	2.8	70.0	720.5
	C-14×6	1	10	14	6	2.3	84.0	686.2	696.2	3.01	0.63	0.23
		2	10	14	6	2.3	84.0	728.3
		3	10	14	6	2.3	84.0	684.4
		4	10	14	6	2.3	84.0	686.1
Pultruded stirrups	P-8	1	—	d=8		—	50.2	423.8	415.2	3.39	0.39	2.5
		2	—	d=8		—	50.2	398.6
		3	—	d=8		—	50.2	406.4
		4	—	d=8		—	50.2	392.0
Notes: N is the number of fiber winding layers of stirrups; w is the width of stirrups; t is the thickness of stirrups; d is the diameter of pultruded stirrups; A_fv is the cross-sectional area of stirrups; f_fb is the bend strength of stirrups; f_fb,avg is the average value of the bend strength; COV is the coefficient of variation of the bend strength; υ_k is the volume fraction of the curling fibers.

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表 2 基于本文试验的弯曲段受拉强度预测模型的比较

Table 2. Comparison of all prediction models for bend strength based on the tests in this paper

	Paper	ACI	Lee	Imjai	Spada
RMSE	63.38	255.92	123.59	91.98	163.78
Mean	0.99	1.45	1.15	1.05	1.25
SD	0.08	0.12	0.11	0.13	0.15
COV/%	8.15	8.53	9.28	12.11	12.09
Notes: RMSE is Root Mean Squared Error; SD is Standard Deviation; COV is Coefficient of Variation.

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