BENDING CAPACITY CALCULATION METHOD OF CONCRETE FILLED STEEL TUBE COLUMNS-THROUGH BEAM REINFORCED ECC RING BEAM JOINTS
-
摘要:
梁贯通式环梁节点作为连接钢管混凝土柱和钢筋混凝土梁的一种节点形式,充分发挥了环梁节点传力机制明确的优势,减少了焊接施工耗材与耗时。但由于混凝土的脆性,普通钢筋混凝土环梁节点在弯剪扭复合受力状态下开裂严重,降低了节点的承载力。为提高环梁节点的受力性能,进一步优化环梁节点配置,该文基于一种新型的钢筋增强超高延性水泥基复合材料(Reinforced engineered cementitious composite, 简称RECC)环梁节点,研究了其抗弯性能并提出了相应的抗弯承载力计算方法。基于极限平衡法对节点的受力机理及各组份的作用进行了分析,通过在选定的控制截面上对ECC破坏阶段的应力、应变过程分析,对ECC的贡献进行了定量计算。继而综合框架梁纵筋、环梁环筋和箍筋的抗弯承载力,提出了钢管混凝土柱-梁贯通式RECC环梁节点的抗弯承载力计算模型。在此基础上,通过简化控制面进一步提出了该节点面向工程实际的抗弯承载力简化计算方法。将两种破坏形态的试验及有限元结果与理论公式进行比对,结果吻合较好,且试验值与理论值的误差较小,证明所提出的承载力计算模型具有一定的可靠性和理论意义。
-
关键词:
- 超高延性水泥基复合材料(ECC) /
- 环梁节点 /
- 钢管混凝土柱 /
- 抗弯性能 /
- 承载力
Abstract:Through beam - ring beam joint, as a type of joint connecting concrete filled steel tube (CFST) columns and reinforced concrete (RC) beams, has the advantages of clear force transmission mechanism and reduces the material usage and time consumption of welding construction. However, due to the brittleness of concrete, serious cracking problems of reinforced concrete ring beam joints occurs under combined bending, shearing and torsion, which reduces the load-bearing capacity of the joint. To improve the load bearing capacity and optimize the allocation of the ring beam connection, based on a new Reinforced Engineered Cementitious Composite (RECC) ring beam joint, the flexural performance of the ring beam joint is studied and the calculation method of the flexural capacity is proposed. The transfer mechanism of stress and the role of each component for the RECC ring beam connection are analyzed based on the ultimate equilibrium method. A quantitative calculation is performed by analyzing the stress and strain process during the failure stages of ECC on the selected control section to assess the contribution of ECC. By further considering the flexural capacity of the longitudinal reinforcement in the frame beam, ring reinforcement and stirrups in the ring beam, the bending bearing capacity model for the through-beam RECC ring beam connection is proposed. Additionally, a simplified calculation method for the bending bearing capacity of the joint is further proposed taking into account practical engineering considerations by simplifying the control surface. The experimental and finite element results of the two different failure modes are compared with the theoretical formulas, showing good agreement; and the error between the experimental results and the theoretical values is small, proving that the proposed bearing capacity calculation model has certain reliability and theoretical significance.
-
-
表 1 闭合箍肢计算系数表
Table 1 Calculation coefficient for closed stirrup
箍筋
形式1闭合
箍肢
计算
系数αv箍筋
形式2闭合
箍肢
计算
系数αv箍筋
形式3闭合
箍肢
计算
系数αv平面 构造 平面 构造 平面 构造 1 2 3 表 2 试件参数及对比验证
Table 2 Test specimen parameters and verification
试件名称 柱边长/mm 钢管直径×厚度/mm 框架梁截面尺寸/mm 环梁高×宽/mm 纵筋 环筋 试验值/模拟值/(kN·m) 理论值/(kN·m) 误差/(%) E0 300×300 180×6 170×250 250×125 3 223 10121.49 126 3.7 140.15 10.0 E2 300×300 180×6 170×250 250×125 3 223 6128.00 110 14.0 -
[1] NGUYEN T T, THAI H T, NGO T, et al. Behaviour and design of high strength CFST columns with slender sections [J]. Journal of Constructional Steel Research, 2021, 182: 106645. doi: 10.1016/j.jcsr.2021.106645
[2] 于峰, 方圆, 李子龙, 等. PVC-CFRP管混凝土柱-钢筋混凝土环梁T型节点拟静力试验与弯矩-曲率恢复力模型研究[J]. 工程力学, 2023, 40(6): 158 − 171. doi: 10.6052/j.issn.1000-4750.2021.11.0892 YU Feng, FANG Yuan, LI Zilong, et al. Pseudo-static test and moment-curvature hystertic model of PVC-CFRP confined column-RC ring beam exterior joint [J]. Engineering Mechanics, 2023, 40(6): 158 − 171. (in Chinese) doi: 10.6052/j.issn.1000-4750.2021.11.0892
[3] 李补拴, 路瑶, 赵根田, 等. PEC柱-异形钢梁框架中节点抗震性能试验研究[J]. 工程力学, 2020, 37(1): 126 − 134. doi: 10.6052/j.issn.1000-4750.2019.02.0046 LI Bushuan, LU Yao, ZHAO Gentian, et al. Experimental study on seismic performance of PEC column-special shaped steel beam inner-frame joints [J]. Engineering Mechanics, 2020, 37(1): 126 − 134. (in Chinese) doi: 10.6052/j.issn.1000-4750.2019.02.0046
[4] 马福栋, 邓明科, 杨勇. 超高性能混凝土装配整体式框架梁柱节点抗震性能研究[J]. 工程力学, 2021, 38(10): 90 − 102. doi: 10.6052/j.issn.1000-4750.2020.09.0682 MA Fudong, DENG Mingke, YANG Yong. Seismic experimental study on a UHPC precast monolithic concrete beam-column connection [J]. Engineering Mechanics, 2021, 38(10): 90 − 102. (in Chinese) doi: 10.6052/j.issn.1000-4750.2020.09.0682
[5] 李杨, 李延涛, 邢万里, 等. 钢管混凝土柱-双面组合作用梁框架节点抗震性能试验研究[J]. 工程力学, 2020, 37(7): 99 − 109. doi: 10.6052/j.issn.1000-4750.2019.08.0427 LI Yang, LI Yantao, XING Wanli, et al. Experimental study on seismic behavior of frame joints with concrete-filled steel tubular column and double-sided composite beam [J]. Engineering Mechanics, 2020, 37(7): 99 − 109. (in Chinese) doi: 10.6052/j.issn.1000-4750.2019.08.0427
[6] GAO S, CHEN R, YANG J, et al. Seismic performance of t-shaped CFST column to u-shaped steel composite beam joints [J]. Thin-Walled Structures, 2024, 195: 111443. doi: 10.1016/j.tws.2023.111443
[7] MA D Y. Seismic performance of concrete-encased CFST column to RC beam joints: A practical model [J]. Journal of Building Engineering, 2023, 78: 107567. doi: 10.1016/j.jobe.2023.107567
[8] MA D Y, HAN L H, ZHAO X L. Seismic performance of the concrete-encased CFST column to RC beam joint: Experiment [J]. Journal of Constructional Steel Research, 2019, 154: 134 − 148. doi: 10.1016/j.jcsr.2018.11.030
[9] 赵毅, 徐礼华, 程康, 等. 劲性环梁式钢管混凝土节点受力性能研究[J]. 工程力学, 2013, 30(增刊): 241 − 247. doi: 10.6052/j.issn.1000-4750.2012.06.S068 ZHAO Yi, XU Lihua, CHENG Kang, et al. A analysis on the mechanical behavior of steel reinforced ring-beam connections of concrete filled steel column and RC beam [J]. Engineering Mechanics, 2013, 30(Suppl): 241 − 247. (in Chinese) doi: 10.6052/j.issn.1000-4750.2012.06.S068
[10] 聂建国, 王宇航, 陶慕轩, 等. 钢管混凝土叠合柱-钢筋混凝土梁外加强环节点抗震性能试验研究[J]. 建筑结构学报, 2012, 33(7): 88 − 97. NIE Jianguo, WANG Yuhang, TAO Muxuan, et al. Experimental study on seismic behavior of laminated steel tube column-concrete beam joint with outer stiffening ring [J]. Journal of Building Structures, 2012, 33(7): 88 − 97. (in Chinese)
[11] 陈宗平, 张向冈, 薛建阳, 等. 全再生方钢管混凝土柱-钢筋混凝土梁框架的抗震性能试验研究[J]. 工程力学, 2016, 33(8): 32 − 38. doi: 10.6052/j.issn.1000-4750.2014.06.0501 CHEN Zongping, ZHANG Xianggang, XUE Jianyang, et al. Experimental study on aseismic performance of frame constructed by recycled-concrete-filled-square-steel-tube columns and beams [J]. Engineering Mechanics, 2016, 33(8): 32 − 38. (in Chinese) doi: 10.6052/j.issn.1000-4750.2014.06.0501
[12] CHEN Q J, CAI J, BRADFORD M A, et al. Seismic behaviour of a through-beam connection between concrete-filled steel tubular columns and reinforced concrete beams [J]. Engineering Structures, 2014, 80: 24 − 39. doi: 10.1016/j.engstruct.2014.08.036
[13] CHEN Q J, CAI J, BRADFORD M A, et al. Axial compressive behavior of through-beam connections between concrete-filled steel tubular columns and reinforced concrete beams [J]. Journal of Structural Engineering, 2015, 141(10): 04015016. doi: 10.1061/(ASCE)ST.1943-541X.0001249
[14] NIE J G, BAI Y, CAI C S. New connection system for confined concrete columns and beams. I: Experimental study [J]. Journal of Structural Engineering, 2008, 134(12): 1787 − 1799. doi: 10.1061/(ASCE)0733-9445(2008)134:12(1787)
[15] TANG X L, CAI J, CHEN Q J, et al. Seismic behaviour of through-beam connection between square CFST columns and RC beams [J]. Journal of Constructional Steel Research, 2016, 122: 151 − 166. doi: 10.1016/j.jcsr.2016.03.010
[16] 傅剑平, 方长建, 黄宗瑜, 等. 钢管混凝土斜柱抗剪环-环梁节点受力性能试验研究[J]. 建筑结构学报, 2008, 29(5): 34 − 41. doi: 10.3321/j.issn:1000-6869.2008.05.005 FU Jianping, FANG Changjian, HUANG Zongyu, et al. Experimental research on mechanical behavior of inclined steel tube confined concrete column-ring beam joint with shear ring bars [J]. Journal of Building Structures, 2008, 29(5): 34 − 41. (in Chinese) doi: 10.3321/j.issn:1000-6869.2008.05.005
[17] FISCHER G, LI V C. Influence of matrix ductility on tension-stiffening behavior of steel reinforced engineered cementitious composites (ECC) [J]. Structural Journal, 2002, 99(1): 104 − 111.
[18] SAID S H, RAZAK H A. Structural behavior of RC engineered cementitious composite (ECC) exterior beam-column joints under reversed cyclic loading [J]. Construction and Building Materials, 2016, 107: 226 − 234. doi: 10.1016/j.conbuildmat.2016.01.001
[19] HOSSEINI A, GHAFOORI E, AL-MAHAIDI R, et al. Strengthening of a 19th-century roadway metallic bridge using nonprestressed bonded and prestressed unbonded CFRP plates [J]. Construction and Building Materials, 2019, 209: 240 − 259. doi: 10.1016/j.conbuildmat.2019.03.095
[20] DONG B Q, PAN J L, CAI J M, et al. Mechanical behaviour of ECC ring beam connections under square local compressive loading [J]. Journal of Building Engineering, 2021, 34: 101741. doi: 10.1016/j.jobe.2020.101741
[21] DONG B Q, PAN J L, XU L. Numerical and theoretical analysis of beam-to-column connections with ECC ring beams subjected to local compression loading [J]. Journal of Building Engineering, 2022, 52: 104466. doi: 10.1016/j.jobe.2022.104466
[22] DONG B Q, PAN J L, CAI J M, et al. Mechanical behaviour of a new ECC-encased CFST column to RC beam connection under cyclic loading [J]. Engineering Structures, 2021, 234: 111915. doi: 10.1016/j.engstruct.2021.111915
[23] 方小丹, 黄圣钧, 李少云, 等. RC梁-圆钢管混凝土柱节点环梁承载力设计方法[J]. 建筑结构学报, 2008, 29(5): 20 − 33. FANG Xiaodan, HUANG Shengjun, LI Shaoyun, et al. Design method of RC beam-STCC column joint connected with ring beam [J]. Journal of Building Structures, 2008, 29(5): 20 − 33. (in Chinese)
[24] 魏琏, 王志远, 王森, 等. 钢管混凝土柱-RC环梁节点计算方法的研究[J]. 建筑结构学报, 2008, 38(3): 29 − 33. WEI Lian, WANG Zhiyuan, WANG Sen, et al. Study on calculation method of steel tube confined concrete-RC ring beam joint [J]. Building Structure, 2008, 38(3): 29 − 33. (in Chinese)
[25] 周颖, 于海燕, 钱江, 等. 钢管混凝土叠合柱节点环梁受弯承载力计算方法[J]. 建筑结构学报, 2015, 36(2): 79 − 86. ZHOU Ying, YU Haiyan, QIAN Jiang, et al. Moment capacity calculation method on ring beams of joints of concrete filled steel tubular laminated columns [J]. Journal of Building Structures, 2015, 36(2): 79 − 86. (in Chinese)
[26] YU F, WANG J M, WANG Y, et al. Flexural capacity of fiber-reinforced polymer-confined concrete column-ring beam exterior joints under low cyclic loading [J]. Journal of Composites for Construction, 2022, 26(4): 04022041. doi: 10.1061/(ASCE)CC.1943-5614.0001233
[27] GB 50936−2014, 钢管混凝土结构技术规范[S]. 北京: 中国建筑工业出版社, 2014. GB 50936−2014, Technical code for concrete filled steel tubular structures [S]. Beijing: China Architecture & Building Press, 2014. (in Chinese)
[28] YUAN F, PAN J L, LEUNG C K Y. Flexural behaviors of ECC and concrete/ECC composite beams reinforced with basalt fiber-reinforced polymer [J]. Journal of Composites for Construction, 2013, 17(5): 591 − 602. doi: 10.1061/(ASCE)CC.1943-5614.0000381
[29] HWANG S J, LEE H J. Analytical model for predicting shear strengths of exterior reinforced concrete beam-column joints for seismic resistance [J]. Structural Journal, 1999, 96(5): 846 − 858.