钢筋混凝土空心板的薄膜效应研究
|
摘要
在极限荷载作用下，钢筋混凝土板内常常存在有薄膜效应，它是由于板的各分块的边界条件和几何形状的变位而造成的。已有的试验表明，钢筋混凝土板在周边约束的情况下，其实际极限承载力较传统塑性极限法确定的承载力大很多。由于现浇钢筋混凝土空心板结构跨高比小、配筋率低，因此，薄膜效应会较大影响有侧向约束空心板的受力性能。本文采用弹塑性理论、屈服线理论等理论分析方法和有限元分析程序研究现浇钢筋混凝土空心板的薄膜效应。
1)用传统塑性铰线法分析钢筋混凝土空心板的极限承载力，用刚塑性理论研究了考虑薄膜效应的钢筋混凝土空心板极限承载力的理论值。
2)建立有侧向约束的钢筋混凝土实心板和空心板的单向板有限元模型，进行弹塑性非线性有限元分析，研究跨厚比、配筋率等、侧向刚度等参数对板极限承载力的影响，并与塑性铰线法计算的极限承载力进行比较，分析薄膜效应对单向板的受力性能和极限承载力的影响。
3)建立有侧向约束的钢筋混凝土空心板的双向板有限元模型，进行弹塑性非线性有限元分析，研究跨厚比、长短跨比、配筋率、侧向刚度等参数对板极限承载力的影响，并与塑性铰线法计算的极限承载力进行比较，分析薄膜效应对双向板的受力性能和极限承载力的影响。
Due to the boundary conditions and the geometric deformation under the ultimate load, the reinforced concrete slabs are usually subjected to membrane action. Experiments show that the limit bearing capacity of a concrete slab with restraints around the edges is much greater than the one that is defined by the conventional theory line theory. Because of the low span-depth ratio and low steel ratio of a reinforced concrete hollow slab, membrane action can considerably affect its mechanical behavior. In this paper, the membrane action in cast-in-situ reinforced concrete hollow slab is studied with the elastic-plastic theory, yield line theory and finite element analysis program separately.
1) Based on the limit analysis method, the limit bearing capacity is analyzed using the conventional yield line theory; the theoretical value of the limit bearing capacity of concrete slabs considering the membrane action are studied using the rigid plastic theory.
2) To conduct elastic-plastic nonlinear analysis of reinforced concrete solid one way slabs and hollow one way slabs with lateral restraints, the finite element models are established. The influences of span-depth ratio, steel ratio and lateral rigidity on the limit bearing capacity are studied. Compared with the limit bearing capacity calculated using the yield line theory, the membrane effects on the mechanical behavior and the limit bearing capacity of one way slabs are analyzed.
3) To conduct elastic-plastic nonlinear analysis of reinforced concrete hollow two way slabs with lateral restraints, the finite element models are established. The influences of span-depth ratio, aspect ratio, steel ratio and lateral rigidity on the limit bearing capacity are studied. Compared with the limit bearing capacity calculated using the yield line theory, the membrane effects on the mechanical behavior and the limit bearing capacity of two way slabs are analyzed.
1)用传统塑性铰线法分析钢筋混凝土空心板的极限承载力，用刚塑性理论研究了考虑薄膜效应的钢筋混凝土空心板极限承载力的理论值。
2)建立有侧向约束的钢筋混凝土实心板和空心板的单向板有限元模型，进行弹塑性非线性有限元分析，研究跨厚比、配筋率等、侧向刚度等参数对板极限承载力的影响，并与塑性铰线法计算的极限承载力进行比较，分析薄膜效应对单向板的受力性能和极限承载力的影响。
3)建立有侧向约束的钢筋混凝土空心板的双向板有限元模型，进行弹塑性非线性有限元分析，研究跨厚比、长短跨比、配筋率、侧向刚度等参数对板极限承载力的影响，并与塑性铰线法计算的极限承载力进行比较，分析薄膜效应对双向板的受力性能和极限承载力的影响。
Due to the boundary conditions and the geometric deformation under the ultimate load, the reinforced concrete slabs are usually subjected to membrane action. Experiments show that the limit bearing capacity of a concrete slab with restraints around the edges is much greater than the one that is defined by the conventional theory line theory. Because of the low span-depth ratio and low steel ratio of a reinforced concrete hollow slab, membrane action can considerably affect its mechanical behavior. In this paper, the membrane action in cast-in-situ reinforced concrete hollow slab is studied with the elastic-plastic theory, yield line theory and finite element analysis program separately.
1) Based on the limit analysis method, the limit bearing capacity is analyzed using the conventional yield line theory; the theoretical value of the limit bearing capacity of concrete slabs considering the membrane action are studied using the rigid plastic theory.
2) To conduct elastic-plastic nonlinear analysis of reinforced concrete solid one way slabs and hollow one way slabs with lateral restraints, the finite element models are established. The influences of span-depth ratio, steel ratio and lateral rigidity on the limit bearing capacity are studied. Compared with the limit bearing capacity calculated using the yield line theory, the membrane effects on the mechanical behavior and the limit bearing capacity of one way slabs are analyzed.
3) To conduct elastic-plastic nonlinear analysis of reinforced concrete hollow two way slabs with lateral restraints, the finite element models are established. The influences of span-depth ratio, aspect ratio, steel ratio and lateral rigidity on the limit bearing capacity are studied. Compared with the limit bearing capacity calculated using the yield line theory, the membrane effects on the mechanical behavior and the limit bearing capacity of two way slabs are analyzed.
引文
[1] R．派克，W．L．根勃尔著．黄国桢，成源华译．钢筋混凝土板．上海：同济大学出版社，1992．
[2] 沈聚敏，王传志，江见鲸编著．钢筋混凝土有限元与板壳极限分析．北京：清华大学出版社，1993．
[3] 徐红宇，曾振飞．空心楼盖新技术在泰峰大厦的应用及其评价．广东土木与建筑，2001，7：72～75．
[4] 徐国臣，李珑芙，王建国．GBF高强薄壁管在现浇空心楼板中的应用．辽宁工学院学报，2002，22(4)：62～63．
[5] 张会斌，张昀青，蔡宏等．一种新型楼盖体系的工程应用．建筑技术开发，2002，29(6)：18～27．
[6] 彭利英，黄越南，李树林等．GBF现浇钢筋混凝土空心无梁楼盖技术的应用与实践．湖南工程学院学报，2002，12(2)：82～84．
[7] 范玲辉，陈迎春，李世秋．薄壁管混凝土技术的应用与发展．混凝土，2002，4：51～52．
[8] 王茂．薄壁筒芯现浇混凝土空心楼盖受力性能研究：[硕士学位论文]．长沙：中南大学，2003．
[9] 王金．现浇混凝土筒芯楼盖受力性能研究：[硕士学位论文]．长沙：中南大学，2004．
[10] 郝静．现浇混凝土筒芯楼盖设计计算方法研究：[硕士学位论文]．长沙：中南大学，2005．
[11] 成洁筠．水平荷载作用下现浇混凝土空心板柱结构计算方法研究：[硕士学位论文]．长沙：中南大学，2006．
[12] 白生翔，卢锡鸿．冷轧带肋钢筋预应力混凝土空心板的设计(上)．建筑结构，1995(3)：26～31．
[13] 白生翔，卢锡鸿．冷轧带肋钢筋预应力混凝土空心板的设计(下)．建筑结构，1995(4)：8～14．
[14] 长沙铁道学院土木建筑学院结构工程研究所，中南大学土木工程中心试验室．现浇钢筋混凝土空心无梁楼盖结构性能检测报告．2000，7．
[15] 杨建军，王茂，王金．现浇混凝土空心无梁楼盖受力性能分析．东南大学学报(自然科学版)，2002，32(增刊)：318～321．
[16] 王茂，杨建军．现浇钢筋混凝土空心无梁楼盖的虚拟交叉梁分析法．长沙铁道学院学报，2003，21(2)：40～44
[17] 陈静茹，熊火清，彭少民．现浇钢筋混凝土空心无梁楼盖设计弯矩分析．武汉理工大学学报，2002，24(7)：24～26．
[18] 陈静茹．现浇钢筋混凝土空心板无梁楼盖体系的分析研究：[硕士学位论文]．武汉：武汉理工大学，2002．
[19] 大连市建筑设计研究院．现浇砼圆孔空心楼板在设计中的应用研究与实践报告．2002，3．
[19] 初萍．现浇砼空心楼板的试验研究及在工程中的应用：[工程硕士学位论文]．大连：大连理工大学，2003．
[20] 方宇．预应力混凝土空心楼盖的受力性能及设计方法：[硕士学位论文]．长沙：中南大学，2006．
[21] 赵维．梁板体系中梁刚度对双向板受力性能影响的研究：[硕士学位论文]．长沙：中南大学，2006．
[22] Ockleston AJ. Arching action in reinforced concrete slabs. Struct. Eng., Vol. 36, No. 6, June 1953, PP. 197-201 Construction and Building Materials, 20(2006)71-80.
[23] Gamble WL, SozenMA, Seiss CP. Tests of a two-way reinforced concrete Slab. J. Struct. Div, ASCE, Vol. 95, No. ST6, June 1969. 1073-1096.
[24] Criswell ME. Design and testing of a blast resistant reinforced concrete slabs system. Technical Report No.N-72, 10, Weapons Effects Laboratory, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss., 1972.312.
[25] Powell DS. Ultimate strength of concrete panels subjected to uniformly distributed loads. M. Sc. thesis, Cambrige University, 1956.
[26] Wood RH. Plastic and Elastic Design of Slabs andPlates, Thames and Hudson, London, 1961. 225-261.
[27] Sawczuk A. Membrane action in flexure of rectangular plates with restrained edges. Proceedings of the International Symposium on the Flexural Mechanics of Reinforced Concrete, ASCE-ACI, November 1964. 347-358.
[28] Christiansen KP. The effect of membrane stresses on the ultimate strength of the interior Panel in a reinforced concrete slab. Struct. Eng. Eng.,Vol. 41, No. 8, August 1963.261-265.
[29] Park R. Ultimate strength of rectangular concrete slabs under short-term uniform loading with edges restrained against lateral movement. Proc. Inst. Civ. Eng. Vol. 28, June 1964.125-150.
[30] Park R. The ultimate strength and long-term behaviour of uniformty loaded two-way concrete slabs with partial lateral restraint at all edges. Mag. Concr. Res.,Vol. 17, No. 50, March 1965.29-38.
[31] Park R. The lateral stiffness and strength required to ensure membrane action at the ultimate load of a reinfored concrete slab and beam floor," Mag. Concr. Res.,Vol. 17, No. 50, March 1965.29-38.
[32] Millington CF. Comparison of the ultimate load carrying capacity of laterally restrained/unrestrained, reinforced/unreinforced Cement Mortar Model Beamsand Two Way Panels. Atomic Weapons Research Establishment Report No. 0-87/65, United Kingdom Atomic Energy Authority, Aldermaston, January 1966.158.
[33] Black MS. Ultimate strength of two-way concrete slabs. J. Struct. Div. ASCE, Vol. 101, No. ST1, January 1975.311-324.
[35] Braestrupe MW. Dome effect in R/C slabs:rigid-plastic analysis," ASCE, ST6, June 1980.1237-1253.
[36] Braestrupe MW,Morley CT. Dome effect in R/C slabs: rigid-plastic analysis," ASCE, ST6, June 1980.1255-1262.
[37] Andreasen BS, M.P. Nielsen MP. Dome effect in renforced slabs. Dept. of Structural Engineering, Technical University of Denmark, Lyngby, R212,1986.
[38] Nielsen MP, Andreasen BS, Chen, Ganwei. Dome effect in renforced slabs. Proc, of the 11th ACMSM, University of Anckland, 1988.
[39] Das SK. Compressive membrane action in circular concrete slabs. MPhil thesis, University of Cambridge. Cambrige, 2001.
[40] Das SK, Morley CY. Compressive membrane action in circular renforced slabs. Journal of Mechanical Sciences 2005,47:1629-47.
[41] Bailey CG, Moore DB. The structural behavior of steel frames with composite floor slabs subject to fire-part 1 theory. Struct Eng. 2000, 78(11):19-27.
[42] Bailey CG, White DS, Moore DB. The tensile membrane action of unrestrained composite slabs simulated under fire conditions , Eng Struct 2000, 22:1583-95.
[43] Bailey CG. Membrane action of unrestrained lightly reinforced concrete slabs at large displacements. Eng Struct 2001;23:470-83.
[44] 建筑结构研究室．超静定钢筋混凝土结构塑性内力重分布研究报告集(建筑科学研究资料)．建筑工程部建筑科学研究院，1963．6．
[45] 沈浦生编著．楼盖结构设计原理．科学出版社，2003．9．
[46] 徐有邻，周氐编著．混凝土结构设计规范理解与应用．中国建筑工业出版社，2002．5．
[47] 王志远．现浇混凝土空心板受力性能的研究及其应用：[博士学位论文]．南京：东南大学，2004．
[48] 王志远．现浇混凝土有梁双向空心板的试验研究：[硕士学位论文]．南京：东南大学，2004．
[49] 张先进，李永春．钢筋混凝土矩形板薄膜效应的有限元分析．建筑技术开发，2006；33(11)．
[50] 中国工程建设标准化协会标准．现浇混凝土空心楼盖结构技术规程(CECS175：2004)．北京：中国计划出版社，2004．
[51] 白生翔．现浇混凝土楼盖设计中的几个问题．全国现浇混凝土空心楼盖结构技术交流会论文集，2005(7)，上海．
[52] 中华人民共和国标准．钢筋混凝土结构设计规范．(TJ10-74)．北京中国建筑工业出版社，1974．
[53] 江见鲸，陆新征，叶列平编著．混凝土结构有限元分析．北京：清华大学出版社，2005．
[54] 吕西林，金国芳，吴晓涵编著．钢筋混凝土结构非线性有限元分析．上海：同济大学出版社，1996．
[55] 郝文化编著．Ansys土木工程应用实例．北京：中国水力水电出版社，2005．
[56] Ansys使用手册，美国Ansys公司驻京办事处
[57] 陆新征，江见鲸．利用ANSYS Solid 65单元分析复杂应力条件下的混凝土结构问题．建筑结构．2003；33(6)．
[2] 沈聚敏，王传志，江见鲸编著．钢筋混凝土有限元与板壳极限分析．北京：清华大学出版社，1993．
[3] 徐红宇，曾振飞．空心楼盖新技术在泰峰大厦的应用及其评价．广东土木与建筑，2001，7：72～75．
[4] 徐国臣，李珑芙，王建国．GBF高强薄壁管在现浇空心楼板中的应用．辽宁工学院学报，2002，22(4)：62～63．
[5] 张会斌，张昀青，蔡宏等．一种新型楼盖体系的工程应用．建筑技术开发，2002，29(6)：18～27．
[6] 彭利英，黄越南，李树林等．GBF现浇钢筋混凝土空心无梁楼盖技术的应用与实践．湖南工程学院学报，2002，12(2)：82～84．
[7] 范玲辉，陈迎春，李世秋．薄壁管混凝土技术的应用与发展．混凝土，2002，4：51～52．
[8] 王茂．薄壁筒芯现浇混凝土空心楼盖受力性能研究：[硕士学位论文]．长沙：中南大学，2003．
[9] 王金．现浇混凝土筒芯楼盖受力性能研究：[硕士学位论文]．长沙：中南大学，2004．
[10] 郝静．现浇混凝土筒芯楼盖设计计算方法研究：[硕士学位论文]．长沙：中南大学，2005．
[11] 成洁筠．水平荷载作用下现浇混凝土空心板柱结构计算方法研究：[硕士学位论文]．长沙：中南大学，2006．
[12] 白生翔，卢锡鸿．冷轧带肋钢筋预应力混凝土空心板的设计(上)．建筑结构，1995(3)：26～31．
[13] 白生翔，卢锡鸿．冷轧带肋钢筋预应力混凝土空心板的设计(下)．建筑结构，1995(4)：8～14．
[14] 长沙铁道学院土木建筑学院结构工程研究所，中南大学土木工程中心试验室．现浇钢筋混凝土空心无梁楼盖结构性能检测报告．2000，7．
[15] 杨建军，王茂，王金．现浇混凝土空心无梁楼盖受力性能分析．东南大学学报(自然科学版)，2002，32(增刊)：318～321．
[16] 王茂，杨建军．现浇钢筋混凝土空心无梁楼盖的虚拟交叉梁分析法．长沙铁道学院学报，2003，21(2)：40～44
[17] 陈静茹，熊火清，彭少民．现浇钢筋混凝土空心无梁楼盖设计弯矩分析．武汉理工大学学报，2002，24(7)：24～26．
[18] 陈静茹．现浇钢筋混凝土空心板无梁楼盖体系的分析研究：[硕士学位论文]．武汉：武汉理工大学，2002．
[19] 大连市建筑设计研究院．现浇砼圆孔空心楼板在设计中的应用研究与实践报告．2002，3．
[19] 初萍．现浇砼空心楼板的试验研究及在工程中的应用：[工程硕士学位论文]．大连：大连理工大学，2003．
[20] 方宇．预应力混凝土空心楼盖的受力性能及设计方法：[硕士学位论文]．长沙：中南大学，2006．
[21] 赵维．梁板体系中梁刚度对双向板受力性能影响的研究：[硕士学位论文]．长沙：中南大学，2006．
[22] Ockleston AJ. Arching action in reinforced concrete slabs. Struct. Eng., Vol. 36, No. 6, June 1953, PP. 197-201 Construction and Building Materials, 20(2006)71-80.
[23] Gamble WL, SozenMA, Seiss CP. Tests of a two-way reinforced concrete Slab. J. Struct. Div, ASCE, Vol. 95, No. ST6, June 1969. 1073-1096.
[24] Criswell ME. Design and testing of a blast resistant reinforced concrete slabs system. Technical Report No.N-72, 10, Weapons Effects Laboratory, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss., 1972.312.
[25] Powell DS. Ultimate strength of concrete panels subjected to uniformly distributed loads. M. Sc. thesis, Cambrige University, 1956.
[26] Wood RH. Plastic and Elastic Design of Slabs andPlates, Thames and Hudson, London, 1961. 225-261.
[27] Sawczuk A. Membrane action in flexure of rectangular plates with restrained edges. Proceedings of the International Symposium on the Flexural Mechanics of Reinforced Concrete, ASCE-ACI, November 1964. 347-358.
[28] Christiansen KP. The effect of membrane stresses on the ultimate strength of the interior Panel in a reinforced concrete slab. Struct. Eng. Eng.,Vol. 41, No. 8, August 1963.261-265.
[29] Park R. Ultimate strength of rectangular concrete slabs under short-term uniform loading with edges restrained against lateral movement. Proc. Inst. Civ. Eng. Vol. 28, June 1964.125-150.
[30] Park R. The ultimate strength and long-term behaviour of uniformty loaded two-way concrete slabs with partial lateral restraint at all edges. Mag. Concr. Res.,Vol. 17, No. 50, March 1965.29-38.
[31] Park R. The lateral stiffness and strength required to ensure membrane action at the ultimate load of a reinfored concrete slab and beam floor," Mag. Concr. Res.,Vol. 17, No. 50, March 1965.29-38.
[32] Millington CF. Comparison of the ultimate load carrying capacity of laterally restrained/unrestrained, reinforced/unreinforced Cement Mortar Model Beamsand Two Way Panels. Atomic Weapons Research Establishment Report No. 0-87/65, United Kingdom Atomic Energy Authority, Aldermaston, January 1966.158.
[33] Black MS. Ultimate strength of two-way concrete slabs. J. Struct. Div. ASCE, Vol. 101, No. ST1, January 1975.311-324.
[35] Braestrupe MW. Dome effect in R/C slabs:rigid-plastic analysis," ASCE, ST6, June 1980.1237-1253.
[36] Braestrupe MW,Morley CT. Dome effect in R/C slabs: rigid-plastic analysis," ASCE, ST6, June 1980.1255-1262.
[37] Andreasen BS, M.P. Nielsen MP. Dome effect in renforced slabs. Dept. of Structural Engineering, Technical University of Denmark, Lyngby, R212,1986.
[38] Nielsen MP, Andreasen BS, Chen, Ganwei. Dome effect in renforced slabs. Proc, of the 11th ACMSM, University of Anckland, 1988.
[39] Das SK. Compressive membrane action in circular concrete slabs. MPhil thesis, University of Cambridge. Cambrige, 2001.
[40] Das SK, Morley CY. Compressive membrane action in circular renforced slabs. Journal of Mechanical Sciences 2005,47:1629-47.
[41] Bailey CG, Moore DB. The structural behavior of steel frames with composite floor slabs subject to fire-part 1 theory. Struct Eng. 2000, 78(11):19-27.
[42] Bailey CG, White DS, Moore DB. The tensile membrane action of unrestrained composite slabs simulated under fire conditions , Eng Struct 2000, 22:1583-95.
[43] Bailey CG. Membrane action of unrestrained lightly reinforced concrete slabs at large displacements. Eng Struct 2001;23:470-83.
[44] 建筑结构研究室．超静定钢筋混凝土结构塑性内力重分布研究报告集(建筑科学研究资料)．建筑工程部建筑科学研究院，1963．6．
[45] 沈浦生编著．楼盖结构设计原理．科学出版社，2003．9．
[46] 徐有邻，周氐编著．混凝土结构设计规范理解与应用．中国建筑工业出版社，2002．5．
[47] 王志远．现浇混凝土空心板受力性能的研究及其应用：[博士学位论文]．南京：东南大学，2004．
[48] 王志远．现浇混凝土有梁双向空心板的试验研究：[硕士学位论文]．南京：东南大学，2004．
[49] 张先进，李永春．钢筋混凝土矩形板薄膜效应的有限元分析．建筑技术开发，2006；33(11)．
[50] 中国工程建设标准化协会标准．现浇混凝土空心楼盖结构技术规程(CECS175：2004)．北京：中国计划出版社，2004．
[51] 白生翔．现浇混凝土楼盖设计中的几个问题．全国现浇混凝土空心楼盖结构技术交流会论文集，2005(7)，上海．
[52] 中华人民共和国标准．钢筋混凝土结构设计规范．(TJ10-74)．北京中国建筑工业出版社，1974．
[53] 江见鲸，陆新征，叶列平编著．混凝土结构有限元分析．北京：清华大学出版社，2005．
[54] 吕西林，金国芳，吴晓涵编著．钢筋混凝土结构非线性有限元分析．上海：同济大学出版社，1996．
[55] 郝文化编著．Ansys土木工程应用实例．北京：中国水力水电出版社，2005．
[56] Ansys使用手册，美国Ansys公司驻京办事处
[57] 陆新征，江见鲸．利用ANSYS Solid 65单元分析复杂应力条件下的混凝土结构问题．建筑结构．2003；33(6)．