单向板在任意曲线荷载作用下的弯矩分布计算与配筋设计

Calculation of Bending Moment Distribution and Reinforcement Design for One-way Slab under Arbitrary Line Load

单向板上作用有曲线荷载时,在一般的结构分析文献上难以查到曲线荷载作用下的板内弯矩计算公式。为了能够确定任意曲线荷载作用下单向板的弯矩分布以及最大弯矩位置,基于弹性理论,导出了任意曲线荷载作用下板内弯矩的计算公式,并编制了相应的MATLAB程序,将本文结果与ANSYS计算结果比较,两者吻合良好。本文给出的MATLAB计算程序可快速精确计算任意曲线荷载作用下单向板上的弯矩分布,为结构工程师解决此类问题提供了实用方法。

When there is a curved-line load acting on the one-way slab,it is difficult to find the calculation formula of the bending moment of the slab in the general structural analysis literature.In order to determine the moment distributions and the maximum bending moment of the one-way slab under an arbitrary curved-line load,this paper derives the bending moment formula of the slab based on the theory of elasticity.The corresponding MATLAB code is established.Comparing the present solutions with the ANSYS results,the two results agree well.The present MATLAB code can quickly and accurately calculate the bending moment distribution of the one-way slab under the arbitrary curved-line load.It provides a practical method for structural engineers to solve such problems.