Mathematical Investigation of Area and Mass Moments of Inertia of Beams

Mass moment of inertia (MMI) and Area moment of inertia (AMI) are two different concepts often confused to mean the same thing, as they are usually both referred to as moment of inertia. In this paper, difference between the two concepts was established and their relationship explored analytically u...

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Bibliographic Details
Published inLecture notes in engineering and computer science Vol. 2242; p. 57
Main Authors Agarana, Michael C, Bishop, Sheila A, Ehigbochie, Amenawon I
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 07.07.2021
Subjects
Ambient intelligence
Inertia
Moments of inertia
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Summary:Mass moment of inertia (MMI) and Area moment of inertia (AMI) are two different concepts often confused to mean the same thing, as they are usually both referred to as moment of inertia. In this paper, difference between the two concepts was established and their relationship explored analytically using parallel axis theorem and models. In particular, moment of inertia of wood beam with circular, circular hollow, rectangular, and rectangular hollow cross sections, side by side with their AMI, were computed and plotted, with the aid of MAPLE, to see if there is a direct or an indirect relationship between the two concepts. In addition to the fact that the results are consistent with the ones in the literature, the MMI of all the beams considered are greater than their AMI. Also the AMI for the beams about another axis is greater than the solid's moment of inertia about the axis through the solid's centre of mass, given the shortest distance between the axes.
ISSN:2078-0958
2078-0966