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현재 위치

Radius of gyration of area; circular section

작성자 Uploader : a.c.e. 작성일 Upload Date: 2018-10-05변경일 Update Date: 2018-10-16조회수 View : 1352

The radius of gyration of area is the square root of the moment of inertia with respect to an axis on the centroid divided by the cross-sectioonal area. For long columns, it is used as the slenderness ratio, related to the length of a column for determining the buckling load.

For a circular section with its diameter being D, the radius of gyration is :

r = (I/A)^(1/2) = ( (πD^4/64) / (πD^2/4) )^(1/2) = D/4

I : moment of inertia with respect to an axis passing on the centroid (πD^4/64)
A : cross-sectional area (πD^2/4)

*** 참고문헌[References] ***

http://terms.naver.com/entry.nhn?docId=620324&cid=42322&categoryId=42322
https://en.wikipedia.org/wiki/Radius_of_gyration

r = D / 4

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현재 위치

Radius of gyration of area; circular section

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