Axial Bearing Capacity Analysis of H-Section Steel-Reinforced Recycled Aggregate Concrete Filled Circular Steel Tube Stub Columns
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摘要: 为了研究圆钢管H型钢再生混凝土短柱轴压力学性能，对此类构件轴压承载力计算公式进行了理论推导，基于极限分析法，运用双剪统一强度理论，并依据H型钢和钢管对核心区再生混凝土约束效果的不同，分别计算H型钢约束区再生混凝土和钢管约束区再生混凝土承载力，提出一套圆钢管H型钢再生混凝土短柱轴压承载力计算公式，考虑了钢管内径厚比、套箍系数、H型钢配钢指标以及再生粗骨料取代率对短柱轴压承载力的影响, 同时也适用于无H型钢的圆钢管再生混凝土短柱轴压承载力计算. 将推导得到的钢管有效约束力代入承载力计算公式所得结果与相关试验结果对比误差在10%以内，吻合较好，验证了承载力计算公式的有效性和精确度.
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关键词:
- 圆钢管H型钢再生混凝土 /
- 再生粗骨料取代率 /
- 配钢指标 /
- 轴向受压 /
- 承载力
Abstract: In order to investigate the axial compressive properties of H-section steel-reinforced recycled aggregate concrete filled circular steel tube stub columns, the axial bearing capacity calculation formula of this kind of member was theoretically derived. Based on limit analysis and twin shear unified strength theory, bearing capacities of the recycled concrete in H-section steel confined zone and the recycled concrete in steel tube confined zone were calculated, respectively, according to the different restraint effect of H-section steel and steel tube on the recycled concrete in the core area. On this basis, a set of formulas for calculating the axial bearing capacity of H-section steel-reinforced recycled aggregate concrete filled circular steel tube stub columns was put forward, which took into consideration the influences of parameters such as the ratio of inner diameter to thickness of steel tubes, the hoop coefficient, the steel distribution index of H-section steel, and the replacement rate of recycled coarse aggregate on the axial bearing capacity of short columns, and can also be applied to calculate the axial bearing capacity of the recycled aggregate concrete filled circular steel tube stub columns without H-section steel reinforcement. The derived effective binding force of steel tubes is brought into the proposed formula to calculate their axial bearing capacity and compared with test values. Results show that the calculated results agree well with the test values, and the error between them is within 10%, which verifies the validity and accuracy of the proposed calculation formula. -
图 3 钢管约束区再生混凝土应力
Figure 3. Stresses of recycled aggregate concrete in steel pipe confined zone
表 1 ptc取值
Table 1. Values of ptc
MPa η fty/MPa 195 215 235 255 275 295 345 390 40 7.07 7.79 8.52 9.24 9.97 10.69 12.50 14.14 45 6.32 6.96 7.61 8.26 8.91 9.55 11.17 12.63 50 5.71 6.29 6.88 7.46 8.05 8.63 10.10 11.41 55 5.20 5.74 6.28 6.81 7.34 7.87 9.21 10.41 60 4.78 5.27 5.77 6.26 6.75 7.24 8.46 9.57 65 4.43 4.88 5.33 5.79 6.24 6.70 7.83 8.85 70 4.12 4.54 4.96 5.39 5.81 6.23 7.29 8.24 75 3.85 4.25 4.64 5.04 5.43 5.83 6.81 7.70 80 3.62 3.99 4.36 4.73 5.10 5.47 6.40 7.23 85 3.41 3.76 4.11 4.46 4.81 5.16 6.03 6.82 90 3.22 3.55 3.88 4.21 4.54 4.87 5.70 6.44 95 3.06 3.37 3.68 4.00 4.31 4.62 5.41 6.11 100 2.91 3.20 3.50 3.80 4.10 4.40 5.14 5.82 105 2.77 3.05 3.34 3.62 3.91 4.19 4.90 5.54 110 2.65 2.92 3.19 3.46 3.73 4.00 4.68 5.30 115 2.53 2.79 3.05 3.31 3.57 3.83 4.48 5.07 120 2.43 2.68 2.93 3.18 3.43 3.67 4.30 4.86 125 2.33 2.57 2.81 3.05 3.29 3.53 4.13 4.67 130 2.25 2.48 2.71 2.94 3.17 3.40 3.97 4.49 135 2.16 2.38 2.61 2.83 3.05 3.27 3.83 4.33 140 2.09 2.30 2.51 2.73 2.94 3.16 3.69 4.17 
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表 2 式(18)计算值与相关试验结果对比
Table 2. Comparison between the calculated values from formula (18) and the test values
项目 试件名称 CSJ1 CSJ2 CSJ3 CSJ4 CSJ5 CSJ6 CSJ7 CSJ8 CSJ9 试验峰值荷载[13]/kN 2727.2 2641.5 2613.5 2563.5 2412.7 2230.3 2983.5 2281.0 2525.0 式（18）计算承载力/kN 2781.7 2824.1 2804.9 2752.4 2615.2 2470.1 2880.5 2486.3 2736.7 结果对比值 1.02 1.07 1.07 1.07 1.08 1.11 0.97 1.09 1.08
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表 3 式(18)计算值与文献[14]试验结果对比
Table 3. Comparison between the calculated values from formula (18) and the test values of Ref. [14]
项目 试件名称 CA1-1 CA1-2 CA2-1 CA2-2 试验峰值荷载[14]/kN 700.0 711.0 674.0 699.0 式（18）计算承载力/kN 711.0 711.0 670.5 670.5 结果对比值 1.02 1.00 0.99 0.96
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表 4 式(18)计算值与文献[15]试验结果对比
Table 4. Comparison between the calculated values from formula (18) and the test values of Ref. [15]
项目 试件名称 Z-0 Z-25% Z-50% Z-75% Z-100% 试验峰值荷载[15]/kN 2328.2 2346.0 2363.9 2381.8 2399.7 式（18）计算承载力/kN 2348.7 2365.6 2356.9 2315.7 2275.4 结果对比值 1.01 1.01 1.00 0.97 0.95
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表 5 式(18)计算值与文献[16]试验结果对比
Table 5. Comparison between the calculated values from formula (18) and the test values of Ref. [16]
项目 试件名称 RACFST-30-
1-1RACFST-30-
1-2RACFST-30-
1-3RACFST-30-
0.5-1RACFST-30-
0.5-2RACFST-30-
0.5-3试验峰值荷载[16]/kN 1102.0 1098.0 1118.0 1131.0 1139.0 1070.0 式（18）计算承载力/kN 1051.1 1039.2 1023.8 1134.6 1148.9 1156.0 结果对比值 0.95 0.95 0.92 1.00 1.01 1.08 项目 试件名称 RACFST-30-
0-1RACFST-30-
0-2RACFST-30-
0-3RACFST-50-
1-1RACFST-50-
1-2RACFST-50-
1-3试验峰值荷载[16]/kN 1143.0 1065.0 1137.0 1447.0 1398.0 1421.0 式（18）计算承载力/kN 1096.7 1081.0 1095.0 1276.9 1271.6 1292.6 结果对比值 0.96 1.02 0.96 0.88 0.91 0.91
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