中强螺旋肋钢丝预应力混凝土空心板受力性能的分析
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摘要
中强(1270MPa)螺旋肋钢丝是我国研制开发的预应力钢筋新品种，具有强度高、延性好、与混凝土粘结锚固可靠的优点，以这种钢丝为配筋的预应力空心板具有良好的力学性能，是传统用于预应力混凝土空心板的冷加工钢丝的理想替代品。
运用钢筋混凝土受弯构件非线性全过程分析的基本原理，本文编制了中强螺旋肋钢丝预应力混凝土空心板的数值分析程序。计算结果与试验结果进行对比，符合较好。数值分析程序验证了中强螺旋肋钢丝预应力混凝土空心板的工作阶段也可分为弹性工作阶段、带裂缝工作阶段和破坏阶段。
运用数值分析程序计算了175组不同跨高比、配筋率、张拉控制应力的中强(1270MPa)螺旋肋钢丝预应力空心板，结果表明跨高比、配筋率、张拉控制应力是影响空心板破坏形态的主要因素，且构件挠跨比与跨高比和张拉控制应力呈线性关系，与配筋率呈二次抛物线关系。进而通过回归分析，得出了挠跨比与以上三因素数量关系的回归方程。
以极限挠度达到跨度的1／50作为延性破坏的判定指标，本文分别运用数值分析程序试算和回归方程得出了常用跨度、常用配筋的中强(1270MPa)螺旋肋钢丝预应力混凝土空心板的张拉控制应力的取值，供设计参考。
As a new variety of steel wire in our country, the mid-strength (1270MPa) spiral-ribs steel wire has many excellences such as high strength, good ductility, credible felting and anchoring capability witn concrete and so on. The pre-stressed concrete slab with this sort of steel wire has good mechanical property. So it is an ideal substitute to the cold-processed wires traditionally adopted in pre-stressed concrete slabs.
Based on the nonlinear analysis theory of the reinforced concrete flexural member, this paper explores a numerical analysis program for the pre-stressed and hollow-core concrete slabs with mid-strength spiral-ribs steel wires. Contrast with the experimental results which were made by Wei Xing of Zhengzhou University of Technology, the numerical analysis results show a good agreement with the experimental results. Thus the numerical analysis testifies that the service stages of the pre-stressed and hollow concrete slabs with mid-strength spiral-ribs steel wires can also be separated to the elastic stage, cracking stage and failure stage.
175 slabs with different parameters such as the ratio of span to rise, the ratio of reinforcement and the stretching controlling stress are analyzed by the numerical analysis program. The results indicate that the ratio of span to rise, the ratio of reinforcement and the stretching controlling stress are the three primary influencing factors to the failure pattern of the slab. In addition, the relationships between the ratio of deflection to span and the ratio of span to rise and the stretching controlling stress submit to linear curves, the relationship between the ratio of deflection to span and the ratio of reinforcement submits to a quadratic parabola curve. Furthermore, using the regress analysis method, the regress equation of the ratio of deflection to span and the above three parameters are resulted.
Taking an ultimate deflection more than 1/50 of calculating span as the determinant term, by the means of numerical analysis and regress equation
respectively, this paper discusses the reasonable stretching controlling stress of usual span and reinforcement slabs for design reference.
运用钢筋混凝土受弯构件非线性全过程分析的基本原理，本文编制了中强螺旋肋钢丝预应力混凝土空心板的数值分析程序。计算结果与试验结果进行对比，符合较好。数值分析程序验证了中强螺旋肋钢丝预应力混凝土空心板的工作阶段也可分为弹性工作阶段、带裂缝工作阶段和破坏阶段。
运用数值分析程序计算了175组不同跨高比、配筋率、张拉控制应力的中强(1270MPa)螺旋肋钢丝预应力空心板，结果表明跨高比、配筋率、张拉控制应力是影响空心板破坏形态的主要因素，且构件挠跨比与跨高比和张拉控制应力呈线性关系，与配筋率呈二次抛物线关系。进而通过回归分析，得出了挠跨比与以上三因素数量关系的回归方程。
以极限挠度达到跨度的1／50作为延性破坏的判定指标，本文分别运用数值分析程序试算和回归方程得出了常用跨度、常用配筋的中强(1270MPa)螺旋肋钢丝预应力混凝土空心板的张拉控制应力的取值，供设计参考。
As a new variety of steel wire in our country, the mid-strength (1270MPa) spiral-ribs steel wire has many excellences such as high strength, good ductility, credible felting and anchoring capability witn concrete and so on. The pre-stressed concrete slab with this sort of steel wire has good mechanical property. So it is an ideal substitute to the cold-processed wires traditionally adopted in pre-stressed concrete slabs.
Based on the nonlinear analysis theory of the reinforced concrete flexural member, this paper explores a numerical analysis program for the pre-stressed and hollow-core concrete slabs with mid-strength spiral-ribs steel wires. Contrast with the experimental results which were made by Wei Xing of Zhengzhou University of Technology, the numerical analysis results show a good agreement with the experimental results. Thus the numerical analysis testifies that the service stages of the pre-stressed and hollow concrete slabs with mid-strength spiral-ribs steel wires can also be separated to the elastic stage, cracking stage and failure stage.
175 slabs with different parameters such as the ratio of span to rise, the ratio of reinforcement and the stretching controlling stress are analyzed by the numerical analysis program. The results indicate that the ratio of span to rise, the ratio of reinforcement and the stretching controlling stress are the three primary influencing factors to the failure pattern of the slab. In addition, the relationships between the ratio of deflection to span and the ratio of span to rise and the stretching controlling stress submit to linear curves, the relationship between the ratio of deflection to span and the ratio of reinforcement submits to a quadratic parabola curve. Furthermore, using the regress analysis method, the regress equation of the ratio of deflection to span and the above three parameters are resulted.
Taking an ultimate deflection more than 1/50 of calculating span as the determinant term, by the means of numerical analysis and regress equation
respectively, this paper discusses the reasonable stretching controlling stress of usual span and reinforcement slabs for design reference.
引文
[1] 徐有邻．预制混凝土构件结构性能的统计分析．建筑技术，2001，32(8)：544～546．
[2] 徐有邻．住宅建设与混凝土预制构件．施工技术，1998，12：13～15．
[3] YB/T156-1999，中强度预应力混凝土用钢丝．
[4] DBJ14—BGB—96，冷拔螺旋肋钢筋中、小型受弯构件设计与施工技术试行规定．
[5] 张达勇．我国混凝土结构用钢筋(丝)的基本性能的比较．郑州：郑州工业大学硕士学位论文，2000．
[6] 徐有邻，谢志峰．混凝土结构用钢筋优化的建议．工业建筑，1999，29(10)：15～21．
[7] 徐有邻．我国混凝土结构用钢筋的现状及发展．土木工程学报，1999，32(5)：4～9．
[8] 张伟红．钢筋及混凝土受弯构件延性的研究．郑州：郑州大学硕士学位论文．2002．
[9] 刘立新，徐有邻等．螺旋肋钢筋粘结锚固性能的试验研究．混凝土结构基本理论及工程应用．天津：天津大学出版社，1998．
[10] GB5001—2002，混凝土结构设计规范．
[11] 河南省工程建设标准，中强螺旋肋钢丝预应力混凝土结构技术规程．
[12] 徐有邻．钢筋外形对粘结锚固性能的影响．工业建筑，1987，3．
[13] 徐有邻．各类钢筋粘结锚固性能的分析比较．福州大学学报，1996，24(9)．
[14] 魏星．中强(800MPa)螺旋肋钢筋预应力空心板结构性能的研究．郑州：郑州工业大学硕士学位论文，2000．
[15] 吕西林，金国芳，吴晓涵．钢筋混凝土结构非线性有限元理论及应用．上海：同济大学出版社，1997．
[16] 朱伯龙，董振祥．钢筋混凝土非线性分析．上海：同济大学出版社，1985．
[17] 江见鲸等，混凝土结构工程学．北京：中国建筑工业出版社，1998．
[18] GB50204—2002，混凝土结构施工质量验收规范．
[19] 吴培明等．混凝土结构．武汉：武汉工业大学出版社，2001．
[20] 滕智明等．钢筋混凝土基本构件．北京：清华大学出版社，1992．
[21] 98YG203，河南省通用建筑标准设计，预应力混凝土空心板．
[22] 92ZG401，中南地区通用建筑标准设计，预应力混凝土空心板．
[23] 93G436-1，国家建筑标准设计，预应力混凝土空心板．
[24] DBJTl4-3，山东省建筑标准设计，预应力混凝土空心板(冷拔螺旋钢丝)．
[25] 郑州工学院编，钢筋混凝土结构．郑州：河南科学技术出版社，1991．
[26] 汪荣鑫．数理统计．西安：西安交通大学出版社，1986．
[27] 方开泰，全辉，陈庆云．实用回归分析．北京：科学出版社，1988．
[28] 韩芝隆．概率论与数理统计．北京：化学工业出版社，2000．
[29] 苏金明，阮沈勇．MATLAB6.1实用指南．北京：电子工业出版社．
[30] R.Park,T.Pauly.钢筋混凝土结构．秦文译．重庆：重庆大学出版社，1986．
[31] R. Park and T. Paulay. Reinforced concrete structure,A wiley-interscience publication,New York. London. Sydney. Toronto
[32] 过镇海．钢筋混凝土原理．北京：清华大学出版社，1999．
[33] James R. Libby. Modem Presstressed Concrete Design Principles and Construction Methods. San Diego, California, USA: Van Nostrand Reinhold Ltd,1977.
[2] 徐有邻．住宅建设与混凝土预制构件．施工技术，1998，12：13～15．
[3] YB/T156-1999，中强度预应力混凝土用钢丝．
[4] DBJ14—BGB—96，冷拔螺旋肋钢筋中、小型受弯构件设计与施工技术试行规定．
[5] 张达勇．我国混凝土结构用钢筋(丝)的基本性能的比较．郑州：郑州工业大学硕士学位论文，2000．
[6] 徐有邻，谢志峰．混凝土结构用钢筋优化的建议．工业建筑，1999，29(10)：15～21．
[7] 徐有邻．我国混凝土结构用钢筋的现状及发展．土木工程学报，1999，32(5)：4～9．
[8] 张伟红．钢筋及混凝土受弯构件延性的研究．郑州：郑州大学硕士学位论文．2002．
[9] 刘立新，徐有邻等．螺旋肋钢筋粘结锚固性能的试验研究．混凝土结构基本理论及工程应用．天津：天津大学出版社，1998．
[10] GB5001—2002，混凝土结构设计规范．
[11] 河南省工程建设标准，中强螺旋肋钢丝预应力混凝土结构技术规程．
[12] 徐有邻．钢筋外形对粘结锚固性能的影响．工业建筑，1987，3．
[13] 徐有邻．各类钢筋粘结锚固性能的分析比较．福州大学学报，1996，24(9)．
[14] 魏星．中强(800MPa)螺旋肋钢筋预应力空心板结构性能的研究．郑州：郑州工业大学硕士学位论文，2000．
[15] 吕西林，金国芳，吴晓涵．钢筋混凝土结构非线性有限元理论及应用．上海：同济大学出版社，1997．
[16] 朱伯龙，董振祥．钢筋混凝土非线性分析．上海：同济大学出版社，1985．
[17] 江见鲸等，混凝土结构工程学．北京：中国建筑工业出版社，1998．
[18] GB50204—2002，混凝土结构施工质量验收规范．
[19] 吴培明等．混凝土结构．武汉：武汉工业大学出版社，2001．
[20] 滕智明等．钢筋混凝土基本构件．北京：清华大学出版社，1992．
[21] 98YG203，河南省通用建筑标准设计，预应力混凝土空心板．
[22] 92ZG401，中南地区通用建筑标准设计，预应力混凝土空心板．
[23] 93G436-1，国家建筑标准设计，预应力混凝土空心板．
[24] DBJTl4-3，山东省建筑标准设计，预应力混凝土空心板(冷拔螺旋钢丝)．
[25] 郑州工学院编，钢筋混凝土结构．郑州：河南科学技术出版社，1991．
[26] 汪荣鑫．数理统计．西安：西安交通大学出版社，1986．
[27] 方开泰，全辉，陈庆云．实用回归分析．北京：科学出版社，1988．
[28] 韩芝隆．概率论与数理统计．北京：化学工业出版社，2000．
[29] 苏金明，阮沈勇．MATLAB6.1实用指南．北京：电子工业出版社．
[30] R.Park,T.Pauly.钢筋混凝土结构．秦文译．重庆：重庆大学出版社，1986．
[31] R. Park and T. Paulay. Reinforced concrete structure,A wiley-interscience publication,New York. London. Sydney. Toronto
[32] 过镇海．钢筋混凝土原理．北京：清华大学出版社，1999．
[33] James R. Libby. Modem Presstressed Concrete Design Principles and Construction Methods. San Diego, California, USA: Van Nostrand Reinhold Ltd,1977.