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混凝土四边简支矩形板一般是基于弹性薄板小挠度理论求出跨中弯矩布置板底钢筋,支座设置构造钢筋。该文基于弹性薄板小挠度理论,求解了板内扭矩分布。由分析可知,四边简支矩形板内具有复杂的扭矩分布,特别在角部部位其扭矩值将接近板的跨中正弯矩,由扭矩合成的主弯矩将使板角开裂。按照现行规范,仅在四边简支矩形板支座设置构造配筋是不合理的,无法满足抗扭需要,必须在角部配置受力钢筋。通过对比四边简支板与固支板沿对角线方向主弯矩的差异,指出边梁约束对板角混凝土开裂的缓解作用;该文揭示了目前混凝土简支楼板设计存在的不足,并对双向板、单向板合理设计提出了不同建议。
Simply supported rectangular plates on four sides of concrete are generally based on the theory of small deflection of elastic plates to calculate the bottom reinforcement of mid-span bending moment. Based on the theory of small deflection of elastic thin plate, the torque distribution in the plate is solved. From the analysis, it can be seen that there are complex torque distributions in the simply supported rectangular plates on four sides, especially the torque values at the corner parts will be close to the mid-span positive bending moment of the plate. The main moment synthesized by the torque will crack the plate corners. According to current regulations, it is unreasonable to set up the reinforcement only on the four sides of the simply supported rectangular plate support to meet the need of anti-twisting. The reinforced steel bar must be arranged at the corner. By comparing the difference of the main bending moment along the diagonal between the simple support and the fixed support, the easing effect of the side support on the cracking of the concrete at the corner is pointed out. This paper reveals the shortcomings of the design of the simple supported concrete slab at present, Two-way board, one-way board reasonable design made different suggestions.