邊支承雙向板與柱支承雙向板的界定條件
劉宏斌1，張株瑞2，梁興文1
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劉宏斌1，張株瑞2，梁興文1（1 西安建筑科技大學(xué)，西安710055； 2 河南徐輝建筑工程設(shè)計有限公司，鄭州 450000）［摘要］建立了考慮板、梁、柱協(xié)同工作的樓蓋結(jié)構(gòu)三維有限元分析模型；對具有不同梁板剛度比、板區(qū)格跨度比的31個現(xiàn)澆混凝土樓蓋結(jié)構(gòu)模型進(jìn)行了彈性有限元分析，同時用彈性薄板理論計算了這些樓蓋結(jié)構(gòu)模型中板的內(nèi)力和撓度；將兩種方法的計算結(jié)果進(jìn)行比較，研究了梁、板剛度比變化對板內(nèi)力和變形的影響。研究結(jié)果表明，梁板剛度比變化對板內(nèi)力和變形有較大的影響；綜合比較彎矩和撓度計算結(jié)果，提出將αl2/l1≥5作為彈性內(nèi)力計算時邊支承雙向板與柱支承雙向板的界定條件。［關(guān)鍵詞］現(xiàn)澆混凝土樓蓋；有限元法；彈性薄板理論；表格法；界定條件中圖分類號：TU392.3，TU317.1 文獻(xiàn)標(biāo)識碼：A 文章編號：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參考文獻(xiàn)［1］ 派克R, 根勃爾W L.鋼筋混凝土板［M］.黃國禎，成源華，譯.上海:同濟(jì)大學(xué)出版社, 1992.［2］ 張劍，傅學(xué)怡，劉暢. 重力荷載下鋼筋混凝土框架梁平板樓蓋分析［J］. 建筑結(jié)構(gòu)，2003，33（11）：45-49.［3］ 王志遠(yuǎn)，魏璉，藍(lán)宗建.考慮鋼筋混凝土梁板結(jié)構(gòu)相互作用時樓板合理設(shè)計方法的研究［J］.建筑結(jié)構(gòu)，2003，33（9）：47-51.［4］ GB 50010—2010混凝土結(jié)構(gòu)設(shè)計規(guī)范［S］.北京：中國建筑工業(yè)出版社，2011.［5］ NILSON. 混凝土結(jié)構(gòu)設(shè)計［M］. 過鎮(zhèn)海，方鄂華，莊崖屏,等譯. 北京:中國建筑工業(yè)出版社, 2003.［6］ ACI 318M-05 Building code requirements for structural concrete and commentary［S］. Detroit: American Concrete Institute, 2005.
