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现浇混凝土空心板挠度的计算分析及其控制研究
Calculation Analysis of Deflection and Research of Deflection Control for Cast-in-situ Concrete Hollow Slab
【作者】 刘辉;
【导师】 张洪学;
【作者基本信息】 吉林建筑工程学院 , 结构工程, 2009, 硕士
【摘要】 现浇混凝土空心板是一种新型的楼盖体系,它具有大跨度、大空间、自重轻等优点,在我国已被广泛地应用于实际工程。但目前对现浇混凝土空心板的研究仍不完善,随着空心板跨度的进一步增加,包括适用性在内的很多问题需尽快得到解决。本文首先对空心板两个方向的抗弯刚度进行了计算分析,推导出考虑横肋影响的空心板两向刚度的计算公式,确定其正交各向异性、各向同性的归属;本文按照刚度相等的原则将空心板转化为实心板,依据弹性薄板弯曲理论对其进行内力分析。其次,本文依据里茨法推导出现浇空心板弹性阶段的挠度公式;考虑空心板刚度随裂缝的开展而降低的事实,在弹性挠度公式的基础上,推导出空心板在弹塑性阶段的挠度公式,其中包括正交各向异性板和各向同性板分别在均布荷载和线荷载作用下的两种情况。本文引入预应力对现浇混凝土空心板进行挠度控制。考虑预应力以线荷载方式作用于板底面,从而引起空心板的反拱。空心板由于预应力产生的反拱降低了本身在荷载下的挠度;本文亦给出了定量计算预应力的方法。本文采用有限元软件ANSYS,对荷载作用下的,在暗梁处施加预应力的空心板的挠度情况进行有限元分析。在分析中分别建立普通空心板和在暗梁中施加预应力的空心板两个模型进行分析。最后,本文进行比例为1:8的空心板模型试验,并将空心板挠度的试验结果、ANSYS计算结果与公式计算结果进行对比分析。
【Abstract】 Cast-in-situ hollow concrete slab is one of the new floor systems; it has the advantage of large span, big space and lightness, etc, has been increasingly used in practical engineering in our country. However, the research of hollow concrete slab is still not perfect and having more to research. With the hollow plate to further increase the span, the problems which including applicability need to be resolved as soon as possible.Firstly, the article gives the analysis of the two direction flexural rigidity of the hollow concrete flat slab, and to introduce the calculation formula of two direction rigidity which considers the effects of the transverse ribs to the stiffness. To define this kind of concrete slab belongs to orthotropic or isotropic attribution. According to the principle of rigidity equal, the article convert it to common concrete slab and based on elastic theory to analysis its internal forces. Secondly, according to RuiCi method, this article gives the calculation formula of hollow concrete slab elastic deflection and elastic-plastic deflection with deferent loads. Then, the article introduces prestress to solve the issue of deflection control. The prestress could be seen as line load which exert under the plate, and produces upward deflection to reduce the original deflection. The artilcle gives the calculate method to define the prestress too. The article adopts finite element analysis to research the hollow concrete slab deflection. To set up two models which including common hollow concrete slab and prestressed hollow concrete slab. Lastly, the article takes a model experiment of hollow slab; the experimental model is1:8in scale and has2.1mx3m span. And to analysis the experimental results, ANSYS results and formula results.
【Key words】 cast-in-situ hollow concrete slab; flexural rigidity; deflection; deflection control; finite element analysis;