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在一般的机械设计手册或材料力学教科书上,对于常用典型断面的曲梁,都给出了计算中性轴对于形心轴的偏移量e的解析式。该式虽然精确,但计算量较大而且必须进行多位数的数字运算,才能保证结果的可靠性。因此,在工程实用中,使用精确公式求e并不一定可取。本文采用幂级数展开法,首先对任意断面的曲梁导出一个近似计算e值的通用公式;然后借助直梁的“等强度”设计原则着重讨论梯
In a general mechanical design manual or textbook of mechanics of mechanics, an analytical formula for calculating the offset e of the neutral axis relative to the centroid axis is given for curved beams of commonly used typical sections. Although the formula is accurate, but a large amount of computation and the need for multi-digit numeric operations, in order to ensure the reliability of the results. Therefore, in practical engineering, the use of precise formulas for e is not always desirable. In this paper, the power series expansion method, first of all, an arbitrary section of the curved beam to derive a general formula for calculating the e-value; and then with the straight beam “equal strength” design principles focus on ladder