张大山, 董毓利, 房圆圆. 考虑受拉薄膜效应的板块平衡法修正及在混凝土双向板中的应用[J]. 工程力学, 2017, 34(3): 204-210,240. DOI: 10.6052/j.issn.1000-4750.2015.08.0664
引用本文: 张大山, 董毓利, 房圆圆. 考虑受拉薄膜效应的板块平衡法修正及在混凝土双向板中的应用[J]. 工程力学, 2017, 34(3): 204-210,240. DOI: 10.6052/j.issn.1000-4750.2015.08.0664
ZHANG Da-shan, DONG Yu-li, FANG Yuan-yuan. MODIFICATION OF SEGMENT EQUILIBRIUM METHOD THROUGH CONSIDERING TENSILE MEMBRANE EFFECTS AND ITS APPLICATION IN TWO-WAY CONCRETE SLABS[J]. Engineering Mechanics, 2017, 34(3): 204-210,240. DOI: 10.6052/j.issn.1000-4750.2015.08.0664
Citation: ZHANG Da-shan, DONG Yu-li, FANG Yuan-yuan. MODIFICATION OF SEGMENT EQUILIBRIUM METHOD THROUGH CONSIDERING TENSILE MEMBRANE EFFECTS AND ITS APPLICATION IN TWO-WAY CONCRETE SLABS[J]. Engineering Mechanics, 2017, 34(3): 204-210,240. DOI: 10.6052/j.issn.1000-4750.2015.08.0664

考虑受拉薄膜效应的板块平衡法修正及在混凝土双向板中的应用

MODIFICATION OF SEGMENT EQUILIBRIUM METHOD THROUGH CONSIDERING TENSILE MEMBRANE EFFECTS AND ITS APPLICATION IN TWO-WAY CONCRETE SLABS

  • 摘要: 经典塑性铰线理论中的板块平衡法无法考虑钢筋混凝土板在大变形时产生的受拉薄膜效应的影响。为解决这一问题,该文提出了一种可以考虑受拉薄膜效应的修正板块平衡法。该方法将钢筋混凝土板的受力行为分为屈服前和屈服后两个阶段。假设钢筋混凝土板在屈服前的变形为弹性,分别采用Navier法和板块平衡法确定板的屈服挠度和屈服承载力。为考虑屈服后钢筋混凝土板中产生的受拉薄膜效应,假设板底塑性铰线截面上钢筋的竖向分力为产生受拉薄膜效应的主要原因,而钢筋的水平分力则与截面上混凝土的压力组成力偶构成了钢筋混凝土板的截面抵抗弯矩。通过上述修正,可以获得由考虑受拉薄膜效应的修正板块平衡法计算的钢筋混凝土板的全过程荷载-挠度曲线。为验证该文方法,对大挠度足尺混凝土双向板进行了应用研究。通过对比可知,理论分析结果与试验结果较为接近,从而验证了修正板块平衡法的有效性。

     

    Abstract: Tensile membrane effects commonly appear when steel reinforced concrete (RC) slabs at large deflections. Based on classical yield line theory, tensile membrane effects cannot be well taken accounted by a segment equilibrium method. To solve this problem, a modified segment equilibrium method is presented for considering tensile membrane effects. The full response of RC slabs under static loading is divided into two stages as that before and after yielding. RC slabs are assumed to stay elastic before yielding, and yielding deflection and load-carrying capacity are determined by Navier method and segment equilibrium method respectively. For a post-yielding stage, the tensile membrane effect is assumed to be provided by the vertical component of forces in steel bars along the plastic hinge sections, and the horizontal component of steel forces and the compressive forces of concrete form a section resistant couple. Due to above modification, the entire load-deflection curves that incorporate tensile membrane effects can be generated. To validate the presented method, four two-way RC slabs are selected as study cases. It is shown that the analytical results agree well with the experiment data, which confirms the validation of the modified segment equilibrium method.

     

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