Flexural behavior of glass fiber reinforced polymer tube filled with steel bars/concrete hollow members
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摘要: 为研究玻璃纤维增强树脂复合材料(GFRP)管-钢筋/混凝土空心构件的抗弯性能，编制了受弯构件的非线性分析程序，系统地分析了空心率、配筋率、GFRP管管壁厚度及混凝土强度等级等主要参数对其抗弯性能的影响，并通过试验对所编制的程序进行验证，最后建立适用于GFRP管-钢筋/混凝土空心构件的抗弯承载力计算公式。结果表明：利用编制的受弯构件非线性分析程序与建立的抗弯承载力公式，计算结果与试验结果均吻合较好，抗弯承载力随空心率的减小、配筋率的提高、GFRP管管壁厚度的增加及混凝土强度的增大而增加，空心率对构件抗弯承载力影响最大，其次是配筋率和GFRP管管壁厚度，最后是混凝土强度等级，空心部分半径比在0.25~0.5为宜，可以适当提高配筋率、GFRP管管壁厚度或混凝土强度等级来弥补该空心构件抗弯承载力，研究结论可为该结构在实际应用中提供参考依据。
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关键词:
- 玻璃纤维增强树脂复合材料管-钢筋/混凝土 /
- 空心构件 /
- 抗弯性能 /
- 非线性分析程序 /
- 承载力公式
Abstract: In order to study the flexural performance of glass fiber reinforced polymer (GFRP) tube filled with steel bars/concrete hollow members, a nonlinear analysis program was developed. The effects of main parameters such as hollow rate, reinforcement ratio, GFRP tube wall thickness and strength grade of concrete were analyzed systematically. The program was verified by test. The calculation formula of the bearing capacity of GFRP tube filled with reinforced hollow concrete members was established. The results show that the calculation results are in good agreement with the test results by using the nonlinear analysis program and the established bearing capacity formula. The flexural bearing capacity increases with the decrease of the hollow rate and the increase of the reinforcement ratio, the GFRP tube wall thickness and the concrete strength grade. The hollow rate has the greatest influence on the flexural bearing capacity, followed by the reinforcement ratio and the thickness of GFRP tube wall thickness, and the concrete strength grade has relatively less influence on the flexural bearing capacity. The radius ratio of hollow part should be 0.25-0.5. The flexural bearing capacity of the hollow members can be compensated by properly increasing the reinforcement ratio, GFRP tube wall thickness or concrete strength grade. The research conclusion can provide reference for the practical application of the GFRP tube filled with steel bars/concrete hollow member structure. -
图 1 玻璃纤维增强树脂复合材料(GFRP)管-钢筋/混凝土空心结构截面形式
Figure 1. Section form of glass fiber reinforced polymer (GFRP) tube filled with steel bars/concrete hollow structure
图 2 GFRP约束混凝土应力-应变关系
Figure 2. Stress-strain relationship of GFRP confined concrete
$ {f}_{\mathrm{c}\mathrm{o}}' $, $ {\varepsilon }_{\mathrm{c}\mathrm{o}} $—Peak stress and strain of concrete without restraint; $ {f}_{\mathrm{c}\mathrm{c}}' $, $ {\varepsilon }_{\mathrm{c}\mathrm{c}} $—Peak stress and strain of concrete under restraint; $ {E}_{2} $—Slope of the curve in the second stage
图 3 钢材的应力-应变关系
Figure 3. Stress-strain relationship of steel
a—Proportional limit; b—Yield lower limit; c—Flow amplitude; d—Ultimate strength; e—Steel failure;$ {f}_{\mathrm{t}\mathrm{u}} $—Ultimate strength of steel;$ {f}_{\mathrm{t}\mathrm{y}} $—Yield strength of steel;$ {f}_{\mathrm{t}\mathrm{p}} $—Strength corresponding to proportional limit of steel;$ { \varepsilon }_{\rm{te}} $, $ {\varepsilon }_{\rm{te}\rm{1}} $, $ {\varepsilon }_{\rm{te}\rm{2}} $, $ {\varepsilon }_{\rm{te}\rm{3}} $—Strain corresponding to a, b, c and d, respectively
图 4 GFRP管-钢筋/混凝土空心结构截面划分方法及应变图
Figure 4. Section division method and strain diagram of the GFRP tube filled with steel bars/concrete hollow structure
Δθ—Center of each circle corresponds to one corner; θ—Angle; O—Center of a circle; ΔAci —Center angle Δθi correspongding concrete partition unit area; ΔAfi—Center angle Δθi correspongding GFRP tube unit area; yci—Distance from the height center of the i-th strip of concrete to the centroid of the section; yfi —Distance from the height center of the i-th strip of GFRP tube to the centroid of the section; εfi—Strain of GFRP tube in unit i; ε ci—Strain of concrete in unit i; εsi—Strain of steel bar in unit i
图 5 GFRP管-钢筋/混凝土空心受弯构件示意图
Figure 5. Sketch diagram of the GFRP tube filled with steel bars/concrete hollow bending member
图 6 GFRP管-钢筋/混凝土空心受弯构件制作过程
Figure 6. Component production of the GFRP tube filled with steel bars/concrete hollow bending members
图 7 试验装置及测点布置示意图
Figure 7. Test device and test point arrangement for bending specimens
图 8 GFRP管-钢筋/混凝土空心受弯构件破坏模式
Figure 8. Failure patterns of the GFRP tube filled with steel bars/concrete hollow bending members
图 9 GFRP管-钢筋/混凝土空心受弯构件计算结果与试验结果对比
Figure 9. Comparison between calculation and experimental results of the GFRP tube filled with steel bars/concrete hollow bending members
图 10 空心率对GFRP管-钢筋/混凝土空心构件抗弯性能的影响
Figure 10. Effect of hollow ratio on flexural behavior of GFRP tube filled with steel bars/concrete hollow bending members
图 11 配筋率对GFRP管-钢筋/混凝土空心构件抗弯性能的影响
Figure 11. Effect of reinforcement ratio on flexural behavior of GFRP tube filled with steel bars/concrete hollow bending members
图 12 GFRP管管壁厚度对GFRP管-钢筋/混凝土空心构件抗弯性能的影响
Figure 12. Effect of thickness of GFRP tubes on flexural behavior of GFRP tube filled with steel bars/concrete hollow bending members
图 13 混凝土强度对GFRP管-钢筋/混凝土空心构件抗弯性能的影响
Figure 13. Effect of concrete strength on flexural behavior of GFRP tube filled with steel bars/concrete hollow bending members
图 14 GFRP管-钢筋/混凝土空心受弯构件正截面抗弯承载力计算简图
Figure 14. Calculation diagram of flexural capacity of GFRP tube filled with steel bars/concrete hollow bending members ((a) Section geometry; (b) Section strain; (c) Internal force of GFRP tube; (d) Internal force of concrete; (e) Internal force of hollow concrete; (f) Internal force of steel bars)
表 1 GFRP管-钢筋/混凝土空心受弯构件试验参数与试验结果
Table 1. Experimental parameters and results of GFRP tube filled with steel bars/concrete hollow bending members
Serial
numberHollow part
diameter/mmGFRP tube wall
thickness/mmSteel
barsUltimate bearing
capacity/kNGRCHB1 75 5 4 124 GRCHB2 75 7 4 138 GRCHB3 75 3 4 93 GRCHB4 50 5 4 127 GRCB5 — 5 4 129 GRCHB6 75 5 8 173 GRCHB7 75 5 6 147 
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表 2 GFRP管材料性能参数
Table 2. Material properties of GFRP tubes
Longitudinal direction Circumferential direction Elastic modulus /MPa Strength/MPa Elastic modulus /MPa Strength /MPa 16 680 174 27 210 467
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表 3 钢筋性能参数
Table 3. Material properties of steel bars
Variety Model Yield strength/MPa Ultimate tensile strength/MPa Elongation/% HPB235 Diameter 8 mm 271.1 361.2 20.9 HRB335 Diameter 14 mm 379.8 494.6 18.6
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表 4 GFRP管-钢筋/混凝土空心受弯构件试验结果与计算结果
Table 4. Calculated results and tested results of GFRP tube filled with steel bars/concrete hollow bending members
Specimen ${M^{{\rm{exp}}}}$/kN ${M^{{\rm{cal}}}}$/kN ${M^{{\rm{exp}}}}$/${M^{{\rm{cal}}}}$ GRCHB1 38.75 37.39 1.036 GRCHB2 43.13 42.99 1.003 GRCHB3 29.06 27.54 1.055 GRCHB4 39.69 37.57 1.056 GRCB5 40.31 37.80 1.066 GRCHB6 54.06 55.83 0.968 GRCHB7 45.94 45.89 1.001 BRCS(T)-5[1] 25.50 24.18 1.055 GRCB-3[14] 51.30 50.91 1.008 Notes: ${M^{{\rm{exp}}}}$—Tested bending moment; ${M^{{\rm{cal}}}}$—Calculated bending moment.
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