CARRYING-CAPACITIES OF RC SLABS WITH FULLY-FIXED SUPPORTS BASED ON THE COMPRESSIVE-TENSILE MEMBRANE EFFECT

CHENG Song-song; CHEN Wan-xiang; GUO Zhi-kun; ZHANG Yan-yan

doi:10.6052/j.issn.1000-4750.2017.09.0673

Volume 35 Issue 12

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Engineering Mechanics > 2018 > 35(12): 81-88. > DOI: 10.6052/j.issn.1000-4750.2017.09.0673

CHENG Song-song, CHEN Wan-xiang, GUO Zhi-kun, ZHANG Yan-yan. CARRYING-CAPACITIES OF RC SLABS WITH FULLY-FIXED SUPPORTS BASED ON THE COMPRESSIVE-TENSILE MEMBRANE EFFECT[J]. Engineering Mechanics, 2018, 35(12): 81-88. DOI: 10.6052/j.issn.1000-4750.2017.09.0673

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CARRYING-CAPACITIES OF RC SLABS WITH FULLY-FIXED SUPPORTS BASED ON THE COMPRESSIVE-TENSILE MEMBRANE EFFECT

1.
State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact, PLA Army Engineering University, Nanjing 210007, China;
2.
East China Sea Engineering Design Institute, Shanghai 200083, China;
3.
School of Civil Engineering, Sun Yat-Sen University, Guangzhou 510275, China

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Received Date: August 31, 2017
Revised Date: March 05, 2018

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Abstract

It is important to estimate the carrying-capacities of beams and slab members under large deformation condition in the engineering design. The carrying-capacities of reinforced concrete (RC) slabs are conventionally obtained by the compressive-membrane effect under small deformation condition. However, it is extremely important to estimate the carrying-capacities of RC slabs by taking the compressive-tensile membrane effect into account due to most of catastrophic fractures of the members occur in the large deflection stage. The whole process from loading to fracture of RC slabs is divided into the compression of the slab end, the descending branch of concrete cracking and the ascending branch of reinforcement yielding. The load-deflection curve with membrane effect is obtained according to the elastic-perfectly plastic model of reinforced concrete member under bending moment. The carrying-capacities of RC slabs based on the tensile-membrane effect under large deformation condition are derived and the full load-deflection curves by taking the compressive-tensile membrane effect into account are further obtained by using the classical deflection differential equation and the energy principle, in which the softening coefficient of flexural rigidity is used to correct the deflection. The results show that the full load-deflection relationships of RC slab can be predicted reasonably based on the carrying-capacity assessment including the compressive-tensile membrane effect. It is indicated that the analytical results are in good agreement with the test data and can be employed to predict the carrying-capacities of RC slabs.
- reinforced concrete slab,
- compressive-tensile membrane effects,
- yield line theory,
- deflection correction,
- carrying-capacity

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[1]	R·派克, W·L·根勃尔著, 黄国桢, 等. 钢筋混凝土板[M]. 上海:同济大学出版社, 1980:365-367. Park R, Gambe W L. Reinforced concrete slabs[M]. Wiley, 1980:365-367.
[2]	Wood R H, Drucker D C. Plastic and elastic design of slabs and plates[M]. London:Thames and Hudson, 1961:225-261.
[3]	Park R. Ultimate strength of rectangular concrete slabs under short-term uniform loading with edges restrained against lateral movement[J]. Ice Proceedings, 1964, 28(2):125-150.
[4]	Black M S. Ultimate strength study of two-way concrete slabs[J]. Struct. Div. ASCE, 1975:311-324.
[5]	沈聚敏, 王传志, 江见鲸. 钢筋混凝土有限元与板壳极限分析[M]. 北京:清华大学出版社, 1993:396-410. Shen Jumin, Wang Chuanzhi, Jiang Jianjing. Finite elements method of reinforced concrete and limit analysis of concrete slabs and shells[M]. Beijing:Tsinghua University Press, 1993:396-410. (in Chinese)
[6]	王刚, 王清湘, 刘士润. 钢筋混凝土板的压力膜效应承载力计算方法[J]. 吉林大学学报(工学版), 2010, 40(3):699-704. Wang Gang, Wang Qingxiang, Liu Shirun. Calculation method of load capacity compressive membrane effect of reinforced concrete slab[J]. Journal of Jilin University (Engineering and Technology Edition), 2010, 40(3):699-704. (in Chinese)
[7]	王刚, 司炳君, 康海贵. 考虑压缩薄膜效应钢筋混凝土板的变形分析[J]. 应用基础与工程科学学报, 2017(4):751-759. Wang Gang, Si Bingjun, Kang Haigui. Deflection calculation of reinforced concrete slab under compressive membrane action[J]. Journal of Basic Science and Engineering, 2017(4):751-759. (in Chinese)
[8]	郑愚, 李春红. 侧向约束GFRP筋混凝土板内压缩薄膜效应的研究[J]. 工程力学, 2014, 31(6):203-211. Zheng Yu, Li Chunhong. Investigation of compressive membrane action inlaterally restrained GFRP reinforced concrete slabs[J]. Engineering Mechanics, 2014, 31(6):203-211. (in Chinese)
[9]	王刚, 王清湘, 李中军, 等. 剪力墙结构中钢筋混凝土楼板膜效应试验研究[J]. 大连理工大学学报, 2012(1):66-73. Wang Gang, Wang Qingxiang, Li Zhongjun, et al. Experimental investigation of membrane action in reinforced concrete slab in shear-wall structures[J]. Journal of Dalian University of Technology, 2012(1):66-73. (in Chinese)
[10]	李国强, 周昊圣, 郭士雄. 火灾下钢结构建筑楼板的薄膜效应机理及理论模型[J]. 建筑结构学报, 2007, 28(5):40-47. Li Guoqiang, Zhou Haosheng, Guo Shixiong. Mechanism and theoretical model of membrane action in slabs of steel buildings subjected to fire[J]. Journal of Building Structures, 2007, 28(5):40-47. (in Chinese)
[11]	李国强, 郭士雄, 周昊圣. 火灾下钢结构建筑楼板的薄膜效应模型验证及实用方法[J]. 建筑结构学报, 2007, 28(5):48-53. Li Guoqiang, Guo Shixiong, Zhou Haosheng. Model validation and application of membrane action in slabs of steel buildings subjected to fire[J]. Journal of Building Structures, 2007, 28(5):48-53. (in Chinese)
[12]	王志明, 张巍, 王浩, 施毅. 钢筋混凝土双向固支板的超长时间耐火极限研究[J]. 工业建筑, 2016, 46(2):52-57. Wang Zhiming, Zhang Wei, Wang Hao, Shi Yi. Study of fire resistance to reinforced concrete two-way fixed slabs for super long time[J]. Industrial Construction, 2016, 46(2):52-57. (in Chinese)
[13]	杨志年. 不同边界约束条件的混凝土双向板抗火性能研究[D]. 哈尔滨:哈尔滨工业大学, 2012, 50-54, 51-71. Yang Zhinian. Research on fire resistance of two-way reinforced concrete slabs with different edge restraints[D]. Harbin:Harbin Institute of Technology, 2012, 50-54, 51-71. (in Chinese)
[14]	董毓利. 用变形和分解原理求混凝土板的受拉薄膜效应[J]. 力学学报, 2010, 42(6):1180-1187. Do Yuli. Calculation of tensile membrane effects of concrete slabs using deformation additive decomposition theorem[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(6):1180-1187. (in Chinese)
[15]	王勇, 董毓利, 袁广林, 等. 考虑薄膜效应的钢筋混凝土双向板承载力分析[J]. 华中科技大学学报(自然科学版), 2014(3):96-101. Wang Yong, Dong Yuli, Yuan Guanglin, et al. Load-carrying capacity analysis of reinforced concrete two-way slabs considering membrane effect[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition). 2014(3):96-101. (in Chinese)
[16]	张大山, 董毓利, 吴亚平. 混凝土单向板的受拉薄膜效应计算[J]. 吉林大学学报(工), 2013, 43(5):1253-1257. Zhang Dashan, Dong Yuli, Wu Yaping. Calculation of tensile membrane effect of one-way concrete slabs[J]. Journal of Jilin University (Engineering and Technology Edition), 2013, 43(5):1253-1257. (in Chinese)
[17]	王勇, 董毓利, 邹超英. 钢筋混凝土板的极限承载力计算[J]. 哈尔滨工业大学学报, 2013, 45(2):8-13. Wang Yong, Dong Yuli, Zou Chaoying. Calculation of limit carrying capacity of reinforced concrete slabs[J]. Journal of Harbin Institute of Technology, 2013, 45(2):8-13. (in Chinese)
[18]	张大山, 董毓利, 房圆圆. 考虑受拉薄膜效应的板块平衡法修正及在混凝土双向板中的应用[J]. 工程力学, 2017, 34(3):204-210. Zhang Dashan, Dong Yuli, Fang Yuanyuan. Modification of segment equilibrium method through considering tensile membrane effects and its application in two-way concrete slabs[J]. Engineering Mechanics, 2017, 34(3):204-210. (in Chinese)
[19]	Park R. Tensile membrane behavior of uniformly loaded rectangular reinforced concrete slabs with fully restrained edges[J]. Magazine of Concrete Research, 1964, 16(46):39-44.
[20]	钱七虎, 王明洋. 高等防护结构计算原理[M]. 江苏:江苏科学技术出版社, 2009:242-254. Qian Qihu, Wang Mingyang. Calculation theory for advanced protective structures[M]. Jiangsu:Phoenix Science Press, 2009:242-254. (in Chinese)
[21]	陈力, 方秦, 龚自明, 等. 静载作用下钢筋混凝土梁板结构的面力效应(I)-理论模型[J]. 土木工程学报, 2011(1):29-35. Chen Li, Fang Qing, Gong Ziming, et al. Membrane action on reinforced concrete beam-slab structures under static load(I)-Theoretical model[J]. China Civil Engineering Journal, 2011(1):29-35. (in Chinese)
[22]	Roberts E H. Load carrying capacity of slab strips restrained against longitudinal expansion[J]. Concrete, 1969, 3(9):369.
[23]	孙训芳, 方孝淑, 关来泰. 材料力学(I)[M]. 北京:高等教育出版社, 2009:158-162. Sun Xunfang, Fang Xiaoshu, Guan Laitai. Mechanics of materials (I)[M]. Beijing:Higher Education Press, 2009:158-162. (in Chinese)

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CARRYING-CAPACITIES OF RC SLABS WITH FULLY-FIXED SUPPORTS BASED ON THE COMPRESSIVE-TENSILE MEMBRANE EFFECT

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