正多边形主形心轴惯矩

The Principal Centroidal Moments of the Inertia of Regular Polygons

截面图形几何性质在构件的强度、刚度、稳定性计算中是重要的。为了设计出合理的截面形状，必须对它深入研究。本文对正多边形形状的形心惯性轴进行讨论，得出过正多边形形心的任一轴皆主惯轴，且主形心惯性矩恒为常量。并对图解法作了简述。

The geometric properties of area is important in calculating structural member's strength, stiffness and stability. In order to design the form of the crossed section reasonably, we have to go deep into the study of it. The principal centroidal area of a regular polygon was discussed. It has been obtained that any axle was a principal axle through the centroid area of the regular polygon. The centroidal moment of the inertia was always constant. And there were diagrams solution methods in brief.