钢筋砼曲边双向板的内力分析及优化设计

The Analysis of Internal Forces and Optimum Design of Two-way Reinforced Concrete Curved Slabs

本文根据荷载布置的最不利情况,将连续双向曲边板简化为12种不同边界的单块扇形板进行计算,并利用半解析半数值方法求出了各种边界情况下的解答。然后按照现行结构设计规范建立数学模型,利用ε_k—主动约束可行方向法”对此类结构进行优化设计,得出了可比采用传统设计法降低造价5％左右的结论。

In this paper, a continuous two-way curved slab with most unfavourable load distribution is analysed by simplifying it into twelve sector slabs with twelve different boundary conditions and the solutions to all the combinations of the aforementioned boundary conditions are derived using a semi-analytical and semi-numerical method. Then a mathematicl model is formulated according to the requirements of the current 'Code of the Reinforced Concrete Structural Design' and the algorithm of 'εk - active-constraints feasible direction method ' is employed to optimize the design of this type of structure. It is concluded that the cost of the structure designed by the aforesaid optimization method is reduced by about 5% compared to that designed by the traditional method.