Mechanical behavior and bearing capacity calculation of self-stressing steel slag aggregate reinforced concrete filled circular steel tube columns
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摘要: 为研究圆钢管自应力钢渣增强混凝土(钢渣/混凝土@圆钢管)柱的受力机制，设计了8根钢渣/混凝土@圆钢管柱进行轴心受压加载试验，其中短柱试件6个，中长柱试件2个。试验考虑钢渣/混凝土膨胀率、径厚比和长径比共3个变化参数。观察试件的受力破坏全过程，获取应力-应变曲线、峰值应力等重要参数，分析各变化参数对钢渣/混凝土@圆钢管轴压柱受力性能的影响。结果表明：钢渣/混凝土@圆钢管轴压短柱的破坏形态表现为中部鼓曲状剪压破坏，而钢渣/混凝土@圆钢管轴压中长柱则呈弯曲屈曲破坏；各试件受力破坏全过程曲线均经历峰值点、下降段、缓慢上升段等历程，与普通钢渣/混凝土相比，各试件的峰值应变和峰值应力明显提高，且钢渣/混凝土@圆钢管轴压短柱试件较钢渣/混凝土@圆钢管轴压中长柱试件提高更为显著。根据极限平衡条件和全过程分析，提出钢渣/混凝土@圆钢管柱承载力计算公式。在试验研究基础上，建立钢渣/混凝土@圆钢管柱的应力-应变关系模型，理论计算结果与试验实测数据吻合较好。研究成果可为钢渣/混凝土@圆钢管柱的进一步研究和工程应用提供参考。Abstract: To study the mechanical mechanism of self-stressing steel slag aggregate reinforced concrete filled circular steel tube (steel slag aggregate/concrete@circular steel tube) columns, eight specimens including six short columns and two intermediate length columns were designed for axial compression test, the variable parameters, such as the diameter-thickness ratio, expansion rate of steel slag aggregate concrete and length-diameter ratio were considered. The whole failure process of specimens was observed, and then the strain-stress curves as well as the peak stress was obtained. The influence of variable parameters on the mechanical behavior of self-stressing steel slag aggregate/concrete@circular steel tube columns was analyzed. Test results indicate that the short columns under axial load exhibit shear failure while the intermediate length columns experience global flexural buckling failure mode. The stress-strain curves of all specimens are basically similar, which undergo the peak point, descending section, slow rise section and so on. The peak strain and peak stress of all specimens are significantly increased compared with those of common steel slag aggregate concrete, and the improvement effects are more obvious in short columns than those in intermediate length columns. According to the limit equilibrium condition and entire process analysis, the calculation formula of bearing capacity of self-stressing steel slag aggregate/concrete@circular steel tube columns was proposed, and then the stress-strain model of self-stressing steel slag aggregate/concrete@circular steel tube columns was established depending on the experimental data. The theoretical calculation results are in good agreement with test data. The research results can provide reference for further research and engineering application of self-stressing steel slag aggregate/concrete@circular steel tube columns.
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Key words:
- steel tube /
- steel slag aggregate /
- concrete /
- self-stressing /
- mechanical behavior /
- bearing capacity /
- stress-strain
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图 1 钢渣/混凝土@圆钢管柱的破坏形态
Figure 1. Failure modes of steel slag aggregate/concrete@circular steel tube columns
图 2 钢渣/混凝土@圆钢管柱的应力-应变曲线
Figure 2. Stress-strain curves of self-stressing steel slag aggregate/concrete@circular steel tube columns
图 3 钢渣/混凝土@圆钢管柱受力简图
Figure 3. Force diagram of steel slag aggregate/concrete@circular steel tube column
图 4 钢渣/混凝土@圆钢管柱承载力稳定系数
${\varphi _{\rm{l}}}$ 与长径比${L / D}$ 的关系Figure 4. Relationship between load capacity stability
${\varphi _{\rm{l}}}$ and length-diameter ratio${L / D}$ of self-stressing steel slag aggregate/concrete@circular steel tube column
图 5 钢渣/混凝土@圆钢管短柱极限压应变
${\varepsilon _{{\rm{au}}}}$ 与套箍系数$\theta $ 的关系Figure 5. Relationship between ultimate compressive strain
${\varepsilon _{{\rm{au}}}}$ and confinement coefficient$\theta $ of self-stressing steel slag aggregate/concrete@circular steel tube short column
图 6 钢渣/混凝土@圆钢管柱应变稳定系数
${\varphi _{\rm{s}}}$ 与长径比${L / D}$ 的关系Figure 6. Relationship between strain stability factor
${\varphi _{\rm{s}}}$ and length-diameter ratio${L / D}$ of self-stressing steel slag aggregate/concrete@circular steel tube column
图 7 钢渣/混凝土@圆钢管柱实测应力-应变曲线与计算应力-应变曲线的比较
Figure 7. Comparisons between measured stress-strain curves and calculated stress-strain curves of self-stressing steel slag aggregate/concrete@circular steel tube column
表 1 钢渣/混凝土组分含量及实测强度
Table 1. Proportion and measured strength of steel slag/concrete
Particle size of
steel slag/mmSand
ratio/%Material usage/(kg.m−3) Cube compressive strength/MPa Expansion rate/10−4 Tap
waterCement Coarse aggregate
(gravel)Fine aggregate
(sand)Fine aggregate
(steel slag)1.18–2.36 0 201 365 961 0 621 34.29 −3.5 0.15–0.3(75%)+
0.3–0.6(25%)0 201 365 961 0 621 21.85 2.8 
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表 2 圆钢管自应力钢渣增强混凝土(钢渣/混凝土@圆钢管)柱试件相关参数及实测强度
Table 2. Parameters and test strength of steel slag aggregate reinforced concrete filled circular steel tube columns (steel slag aggregate/ concrete@ circular steel tube) column samples
Sample Pct/10−4 L/mm D/mm ts/mm L/D fsy/MPa fsu/MPa fco/MPa θ Nae/kN σmax/MPa εamax εcmax 1 2.8 500 140 2.08 3.57 176 312 17.50 0.58 625 40.6 −0.0125 0.0082 2 −3.5 500 140 2.08 3.57 176 312 27.44 0.48 737 47.9 −0.0119 0.0069 3 2.8 500 140 3.63 3.57 233 296 17.50 1.23 1 016 66.0 −0.0147 0.0091 4 −3.5 500 140 3.63 3.57 233 296 27.44 1.14 1 147 74.5 −0.0134 0.0079 5 2.8 500 140 4.22 3.57 236 301 17.50 1.42 1 123 72.9 −0.0158 0.0103 6 −3.5 500 140 4.22 3.57 236 301 27.44 1.36 1 223 79.4 −0.0151 0.0095 7 2.8 1 000 140 3.63 7.14 233 296 17.50 1.23 858 55.7 −0.0123 0.0082 8 2.8 1 500 140 3.63 10.71 233 296 17.50 1.23 799 51.9 −0.0101 0.0070 Notes: Pct—Expansion rate of steel slag aggregate concrete; D,ts—Outer diameter and thickness of steel tube, respectively; L—Height of specimen; fsy, fsu—Yield and ultimate strength of steel tube, respectively; fco—Compressive strength of steel slag aggregate concrete; Nae—Measured ultimate strength of column; θ—Confinement coefficient, $\theta {\rm{ = }}\displaystyle\frac{{{A_{\rm{s}}}{f_{{\rm{sy}}}}}}{{\mu {f_{{\rm{co}}}}{A_{\rm{c}}}}}$; σmax—Ultimate stress of column; εamax—Ultimate axial strain of column; εcmax—Ultimate circumferential strain of column.
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表 3 钢渣/混凝土@圆钢管轴压短柱承载力试验值与计算值比较
Table 3. Comparison of calculated values and test data of self-stressing steel slag aggregate/concrete@circular steel tube short columns under axial load
Specimen D/ts L/D Pct/10–4 Na/kN Nae/kN Na/Nae Na/Nae Averagevalue Standard deviation Variation coefficient 1 67.30 3.57 2.8 590.5 625 0.9448 0.953 0.054 0.0567 2 67.30 3.57 −3.5 650.4 737 0.8825 3 38.56 3.57 2.8 1 018.4 1 016 1.0024 4 38.56 3.57 −3.5 1 042.8 1 147 0.9092 5 33.17 3.57 2.8 1 151.3 1 123 1.0252 6 33.17 3.57 −3.5 1 164.8 1 223 0.9524
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表 4 钢渣/混凝土@圆钢管轴压中长柱承载力试验值与计算值比较
Table 4. Comparison of calculated values and test data of self-stressing steel slag aggregate/concrete@circular steel tube intermediate length columns under axial load
Specimen D/ts D/L Pct/10−4 Nal/kN Nae/kN N′al/kN ${{{N_{{\rm{al}}}}}}/{{{N_{{\rm{ae}}}}}}$ ${{{{N'}_{{\rm{al}}}}}}/{{{N_{{\rm{ae}}}}}}$ 7 38.56 7.14 2.8 806 858 855 0.940 0.997 8 38.56 10.71 2.8 785 799 794 0.982 0.994
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表 5 钢渣/混凝土@圆钢管轴压柱极限压应变计算结果与试验结果比较
Table 5. Comparison of calculated values and test data of ultimate compressive strain of self-stressing steel slag aggregate/concrete@circular steel tube columns under axial load
Specimen L/D Pct/10−4 $\varepsilon _{\rm ae}$ $\varepsilon _{{\rm{au}}}^{\rm{c}}$ $\varepsilon _{{\rm{al}}}^{\rm{c}}$ ${{\varepsilon _{{\rm{au}}}^{\rm{c}}}}/{{{\varepsilon _{{\rm{ae}}}}}}$ ${{\varepsilon _{{\rm{al}}}^{\rm{c}}}}/{{{\varepsilon _{{\rm{ae}}}}}}$ 1 3.57 2.8 0.0125 0.0130 – 1.0402 – 2 3.57 −3.5 0.0119 0.0126 – 1.0588 – 3 3.57 2.8 0.0147 0.0125 – 0.8503 – 4 3.57 −3.5 0.0134 0.0118 – 0.8806 – 5 3.57 2.8 0.0158 0.0128 – 0.810 1 – 6 3.57 −3.5 0.0145 0.0120 – 0.8276 – 7 7.14 2.8 0.0123 – 0.0109 – 0.8862 8 10.71 2.8 0.0101 – 0.0095 – 0.9406 Notes: $\varepsilon _{{\rm{au}}}^{\rm{c}}$—Calculated value of ultimate compressive strain of short columns; $\varepsilon _{{\rm{al}}}^{\rm{c}}$—Calculated value of ultimate compressive strain of intermediate length columns; ${\varepsilon _{{\rm{ae}}}}$—Test data of ultimate compressive strain of columns.
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