Moment of inertia for rectangular prism

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SUMMARY

The discussion focuses on calculating the moment of inertia for a rectangular prism rotating around the center of one of its faces, specifically about the vertical axis through that point. The user seeks a formula applicable to this scenario, indicating a need for clarity on whether they are referring to mass moment, second area moment, or polar moment of inertia. The conversation highlights the importance of understanding the specific type of moment of inertia required for accurate calculations in engineering applications.

PREREQUISITES
  • Understanding of moment of inertia concepts
  • Familiarity with rectangular prism geometry
  • Knowledge of mass moment and area moment distinctions
  • Basic principles of rotational dynamics
NEXT STEPS
  • Research the formula for mass moment of inertia for a rectangular prism
  • Explore the calculation of second area moment for beams
  • Learn about polar moment of inertia and its applications
  • Investigate the effects of axis of rotation on moment of inertia
USEFUL FOR

Engineers, physics students, and anyone involved in structural analysis or mechanical design who requires a solid understanding of moment of inertia calculations for various geometries.

kingbabi
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kingbabi said:
I want to find the moment of inertia (a formula) for a beam rotating around the center of a face. In other words, if I'm using http://www.engrasp.com/doc/etb/mod/util1/solidprop/sp005_rectprism/rectangularblock.gif", then I want to find its moment of inertia if its rotated about the POINT Zc, as if a rod were taped onto the center of that face. Thanks!

Hi kingbabi! :smile:

Do you mean about the "vertical" axis through that point and the centre of the prism?

If so, it'll be the same as for a rectangular plate. :wink:
 
Last edited by a moderator:
I've had too many problems here at work with moments of inertia (Thanks again Fred). Which moment of inertia are you looking for?

Mass moment, second area moment, polar?
 

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