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基于最大位移相等原理,应用辛普生积分公式导出了截面连续变化悬臂构件挠度计算的等效柱法,将变截面构件挠度计算的复杂积分运算转化为等截面等效柱的惯性矩计算,力学概念明确.算例表明,等效柱法简便实用,适用性广,精度较高,是截面连续变化构件挠度计算的有效方法.
Based on the principle of maximum displacement equalization, the equivalent column method for calculating the deflection of cantilever members with continuously varying cross section is derived by using the Simpson integral formula. The complex integral calculation of the deflection of the variable cross-section member is converted into the moment of inertia calculation The example shows that the equivalent column method is simple and practical, has wide applicability and high precision, and is an effective method to calculate the deflection of members with continuous section changes.