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现行钢管混凝土设计规范所提供的稳定性设计计算公式,在一个方程中有截面面积和稳定系数这两个未知数。在设计过程中,传统的方法是采用迭代法求解该方程以获得截面面积设计值。通过引入材料力学中一个表示截面面积的公式,与规范中的稳定性设计计算公式组成一组方程组,通过求解方程组得到构件合理长细比和一个无量纲参数П的函数关系,这个无量纲参数П取决于截面特征参数β和一般设计已知量(包括材料强度、含钢率、轴压力设计值等)。给出了圆形截面的截面特征表达式。在设计截面时,首先通过设计已知量和截面特征参数直接得到构件的合理长细比λ,然后通过该长细比计算截面的主要尺寸。最后通过一个算例说明,该直接设计法计算结果可靠,较传统迭代法更简便,是稳定性设计的一种实用算法。
The design formula of stability provided by the current CFST design code has two unknowns of cross-sectional area and stability coefficient in an equation. In the design process, the traditional method is to iteratively solve the equation to obtain the design value of cross-sectional area. By introducing a formula representing the cross-sectional area in material mechanics, a set of equations is formed with the stability calculation formula in the specification. By solving the equations, the functional relationship between the reasonable slenderness ratio and a dimensionless parameter П is obtained. The parameter П depends on the section characteristic parameter β and the general design known quantities (including material strength, steel content, shaft pressure design value, etc.). The cross-sectional feature expression of circular section is given. When designing the section, the reasonable slenderness ratio λ of the component is obtained directly by designing the known quantity and section characteristic parameters, and then the main size of the section is calculated by the slenderness ratio. Finally, an example is given to show that the direct design method is more reliable than the traditional iterative method and is a practical method for stability design.