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板开裂后刚度矩阵的分析与计算 被引量:1

The analysis and calculation of slab′s rigidity matrix after cracking
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摘要 对钢筋混凝土梁而言 ,当截面开裂以后其抗弯刚度将随着裂缝的开展而不断变化 ,同时对于板单元来说 ,由于裂缝开展方向和形态的各异将导致板的单元刚度矩阵求解复杂化。文章在利用板条梁三折线的 M~Φ关系来模拟混凝土开裂和钢筋屈服对弯曲刚度影响的基础上 ,进一步重点分析并简化计算了板在开裂以后的单元刚度矩阵 ,推导给出了单元刚度矩阵的显式 。 After cracking, the reinforced concrete beam′s anti bending rigidities will change with the expansion of cracking,and due to the differences of the cracking directions and of its states,the slab′s element rigidity matrix will more difficult to solve.In this paper the slab′s element rigidity matrix is analyzed and simplified by using the slab beam′s three broken lines′ M Φrelations to imitate the effects of concrete cracking and steel yielding on the bending rigidities, and finally its detailed formulas are solved out.
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 2000年第3期389-392,共4页 Journal of Hefei University of Technology:Natural Science
关键词 开裂 弯曲刚度 刚度矩阵 钢筋混凝土板 slab cracking yielding bending rigidities rigidity matrix
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  • 1SzilardR.板的理论和分析[M].北京:中国铁道出版社,1984..
  • 2Jofriet J C,Mcneice G M. Finite element analysis of reinforced concrete slabs. ASCE Structural Division.1971(3).
  • 3Bashur F K,Darwin D. Nonlinear model for reinforced concrete slab. ASCE Structural Division, 1978(1).
  • 4Wanchoo M K, May G M. Cracking analysis of reinforced concrete plates. ASCE Structural Division. 1975(1).

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