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我国混凝土结构设计规范给出的混凝土构件挠度计算方法是一种近似方法,其他一些国家的混凝土结构规范或者标准也给出类似的方法。这类方法的研究路线有两阶段,一是依据弯矩得到曲率(x),二是使用力学办法由曲率得到挠度。使用力学办法由曲率得到挠度是不合理的。由曲率计算挠度已经是几何问题,应该使用积分的方法。因此,基于有限积分法给出的挠度z(x)与挠度的一、二阶导数间的数值关系,通过矩阵运算推导得到了挠曲矩阵,通过引入转换式(x)=-z″(x)得到了曲率挠度关系式,就几种常见边界条件讨论了具体的曲率挠度关系,提出了混凝土构件挠度计算的公式和方法。计算表明,引用有限积分法改进混凝土构件挠度计算是简便的,精度明显提高。
The calculation method of concrete member deflection given in our country’s concrete structure design code is an approximate method. In some other countries, the concrete structure code or standard also gives a similar method. There are two stages in the research of this kind of method. One is to get the curvature (x) according to the bending moment, and the other is to use mechanics to get the deflection from the curvature. It is not reasonable to use mechanics to get the deflection from the curvature. The calculation of deflection from curvature is already a geometric problem and should be done using the integral method. Therefore, based on the numerical relationship between the deflection z (x) and the first and second derivatives of the deflection given by the finite integral method, the deflection matrix is deduced from the matrix operation. By introducing the transformation (x) = - z " x), the relationship between the deflection and the deflection of the concrete is discussed, and the formulas for calculating the deflection of the concrete are proposed. The calculation shows that it is simple to use the finite integral method to improve the deflection of concrete members, Accuracy improved significantly.