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薄壁构件横截面不对称参数是计算弯扭屈曲临界弯矩的重要几何参数之一。该文推导了非形心主轴坐标系下不对称参数的积分公式,由不对称参数的积分公式推导了不对称参数的通用求和公式,进而化简得到单轴对称截面不对称参数的求和公式。采用不对称参数的通用求和公式推导了部分常用截面的β_x和(或)β_y的精确计算式或近似计算式,并对我国现行国标GB 50017-2003和GB 50018-2002、美国2013版AISI设计手册和SSRC协会的稳定设计指导、澳大利亚标准AS/NZS 4600:2005等现有文献中β_x和(或)β_y计算式的精度进行了判定。研究表明,不对称参数通用求和公式的形式简单、计算可靠、便于应用。
Asymmetric cross-section parameters of thin-walled members are one of the important geometric parameters for calculating the critical bending moment of buckling. In this paper, the integral formula of asymmetric parameters in the non-centroid spindle coordinate system is deduced. The general formula of asymmetric parameters is deduced from the integral formula of asymmetric parameters, and then the summation of asymmetric parameters of the uniaxial symmetry cross section is simplified formula. The general formulas of β_x and (or) β_y for some commonly used sections are deduced by using the general formula of the summation of asymmetric parameters. The formulas of GB 50017-2003, GB 50018-2002, USA 2013 AISI design The accuracy of the β_x and / or β_y equations in the existing literature such as the manual of SSRC and the stability design guideline of the SSRC Association, and the Australian Standard AS / NZS 4600: 2005 are judged. The research shows that the general form of the asymmetric parameter summation is simple, reliable and easy to apply.