边支承双向板与柱支承双向板的界定条件
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刘宏斌1，张株瑞2，梁兴文1（1 西安建筑科技大学，西安710055； 2 河南徐辉建筑工程设计有限公司，郑州 450000）［摘要］建立了考虑板、梁、柱协同工作的楼盖结构三维有限元分析模型；对具有不同梁板刚度比、板区格跨度比的31个现浇混凝土楼盖结构模型进行了弹性有限元分析，同时用弹性薄板理论计算了这些楼盖结构模型中板的内力和挠度；将两种方法的计算结果进行比较，研究了梁、板刚度比变化对板内力和变形的影响。研究结果表明，梁板刚度比变化对板内力和变形有较大的影响；综合比较弯矩和挠度计算结果，提出将αl2/l1≥5作为弹性内力计算时边支承双向板与柱支承双向板的界定条件。［关键词］现浇混凝土楼盖；有限元法；弹性薄板理论；表格法；界定条件中图分类号：TU392.3，TU317.1 文献标识码：A 文章编号：1002-848X(2013)02-0063-05Distinguishing criteria of two-way edge-supported slabs and column-supported slabsLiu Hongbin1, Zhang Zhurui2, Liang Xingwen1(1 Xi′an University of Architecture and Technology, Xi′an 710055, China; 2 Sunrise Architecture Design Institute, Zhengzhou 450000, China)Abstract: Three-dimensional finite element analysis model was established to study the interaction of beams, slabs and columns. Thirty\|one models were studied by the finite element method and the elastic thin plate theory (look-up table method), which have different span ratios and flexural stiffness ratios of beams to slabs. The results show that changes in flexural stiffness ratio of beams to slabs have a greater influence on the internal forces and deformation of the slab. By comparisons of bending moments and deflection results, αl2/l1≥5 was advised to be the distinguishing criteria of the two-way edge-supported slabs and column-supported slabs.Keywords: cast-in-place concrete floor; finite element method; elastic thin plate theory; look-up table method; distinguishing criteria参考文献［1］ 派克R, 根勃尔W L.钢筋混凝土板［M］.黄国祯，成源华，译.上海:同济大学出版社, 1992.［2］ 张剑，傅学怡，刘畅. 重力荷载下钢筋混凝土框架梁平板楼盖分析［J］. 建筑结构，2003，33（11）：45-49.［3］ 王志远，魏琏，蓝宗建.考虑钢筋混凝土梁板结构相互作用时楼板合理设计方法的研究［J］.建筑结构，2003，33（9）：47-51.［4］ GB 50010—2010混凝土结构设计规范［S］.北京：中国建筑工业出版社，2011.［5］ NILSON. 混凝土结构设计［M］. 过镇海，方鄂华，庄崖屏,等译. 北京:中国建筑工业出版社, 2003.［6］ ACI 318M-05 Building code requirements for structural concrete and commentary［S］. Detroit: American Concrete Institute, 2005.
