钢筋混凝土井式梁楼盖的挠度分析与计算-结构工程专业论文.docxVIP

I I 摘 要 钢筋混凝土井式梁楼盖结构是房屋的一种重要受力体系，与单向板及双向板楼 盖相比，具有结构受力合理、经济性能好、外形美观等优点。作为一种超静定空间 受力结构体系，同时由于材料的非线性和几何非线性等特性，对其进行受力分析和 挠度计算十分复杂。目前钢筋混凝土井式梁楼盖的挠度计算和分析主要以弹性理论 为基础，基本上没有考虑材料的非线性特性对挠度计算的影响，因此计算结果与实 际情况存在较大的出入。 本文在推导钢筋混凝土井式梁楼盖结构的挠度计算公式过程中，将 T 形截面梁 等效为矩形截面梁，假定井式梁楼盖结构的位移函数，利用势能原理，得出位移函 数的表达式。采用 M ???三折线模型，推导出钢筋混凝土梁在不同荷载水平下计算公 式，再通过位移函数求出井字梁体系中各梁之间的内力分配关系，确定井字梁结构 中的每根梁的有效刚度，进而确定位移函数，得到钢筋混凝土井式楼盖结构挠度计 算公式，分析了混凝土强度、配筋率、梁高、梁格间距等因素对钢筋混凝土井式楼 盖结构挠度影响。最后结合试验数据，利用本文提出的公式进行计算，计算结果和 实际情况吻合较好，计算精度满足工程要求。 关键词：井式梁楼盖； M ???曲线；位移函数；刚度；势能原理 II II Abstract As an important force-resistance structure, the capacity of the reinforced concrete waffle slab is better than one-way slab and two-way slab: not only on the capacity of force-resistance and economic, but also on the capacity of externality. Considering the materials of concrete and the steel bar are nonlinear and the transforms shape is nonlinear, which make it more complicate to calculation the waffle structure .At present, the elastic flexure theory was usually adopted when calculated the deflection of reinforced concrete waffle slab, with the nonlinear property almost ignoring, these result in the huge difference between calculation results and physical circumstances. The formula of deflection of the reinforced concrete waffle is deduced in this thesis as the main job. In order to simplify the calculation, I did such suppose as follows: Change the T shape waffle slab form into rectangle shape of waffle slab; with the help of principle of virtual work, the expression of the displacement function is obtained. Then, on the basis of the nonlinear character of concrete and steel bar, making use of M ?? folded-line, the rigidity of rectangle-crossed beam is deduced, and the expression of the rigidity of beam which is subjected different loads is got; secondly, through the displacement function, the relations between beams in waffle is obtained, so the rigidity of each beam in frame structure is obtained (the rigidity of beam is based on the p