研究目的：异形板或受力复杂的混凝土板的配筋问题一直困扰着工程设计人员,而配筋不合理又是产生裂缝影响结构正常工作的一个主要原因。在采用允许应力法进行钢筋混凝土板设计时,配筋问题实际上可归结为给定外力条件下的应力计算问题,为解决这个问题提出了一种通用算法。
研究结论:该算法的要点是在2个主弯矩方向上分别建立平衡方程,并采用迭代法求解非线性方程组,计算钢筋和混凝土应力。大量计算实例证明了该算法的迭代过程收敛快,结果准确,并能很好的模拟板在受力中的一些特殊行为。该计算方法在实际设计中,可计算出各荷载工况作用下所需主筋和辅筋的理论面积,进而得到钢筋面积包络图用于实际配筋。
Research purposes: The arrangementof reinforcement for arbitrarily shaped slab or slab subjected to biaxial loadshaspersecuted engineering designers fora long time. Unreasonable arrangementof reinforcementis amain factor to cause cracks and adversely affect durability and serviceability of the structure. When using working stressmethod for structural design, the arrangementof reinforcementcan be essentially considered as the calculation of stress, therefore,this paperpresents a general algorithm to solve the problem mentioned above.
Research conclusions:The essential of the algorithm is to create the equilibrium equations related to primarymoments,and an iterative approach is adopted to solve the equations to calculate concrete stress and reinforcement stress in reinforced concrete slab. A computer program corresponding to this algorithm is developed. A lot of real calculation examples show that this algorithm can obtain the fastconvergence in iterative process and accurate resul.t This algorithm can also simulate some special actions of loaded slabs. If this algorithm is used in actual design, it can calculate the theoretic areas of main bar and additional bar needed when the structure subjected to all kinds of load cases,furthermore, the envelop curve of steel area is captured forpractical application.
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