平面图形几何性质的图解法

Graphic method for geometry properties of plane figure

在进行结构分析以及强度、刚度和稳定性计算过程中 ,每个构件横截面的几何性质是一批重要数据 .其中惯性矩、惯性积的转轴公式以及主惯性轴和主惯性矩的计算尤为复杂 ,在教学过程中 ,是学生学习的难点内容之一 .以张量为工具对上述内容进行了分析 ,给出了惯量圆的解法 ,从而与应力分析、应变分析等内容联系起来 。

Geometry properties of sections are some important data during performing rigid and stable structure analysis and calculation of strength.Change of components of inertia tensors in rotation of coordinates and calculation of principal moment of inertia is particularly complicated.It was analysed with tensors and graphic method given.