TECHNICAL NOTES
Aug 1, 1985
A Moment of Inertia Invariant
Publication: Journal of Structural Engineering
Volume 111, Issue 8
Abstract
A simple formula is derived for the moment of inertia of a structural section consisting of three or more areas evenly spaced along a circular perimeter. The result is independent of the axis of orientation and the number of areas. For a finite number of areas, elements of the calculus of finite differences are used to sum the second moments of the areas and differential calculus is used to confirm the limiting case.
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Reference
1.
Dean, D. L., “Discrete Field Analysis of Structural Systems,” CISM Lectures No. 203, Udine, Italy, Springer‐Verlag, N.Y., 1976.
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Copyright © 1985 ASCE.
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Published online: Aug 1, 1985
Published in print: Aug 1985
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Donald L. Dean, F. ASCE
Struct. Consultant, The Costelow Co., Inc., 121 Kansas Ave., Topeka, Kans. 66603
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.