Using Moments of Inertia and Stress to Determine Maximum Load on a Beam

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Discussion Overview

The discussion centers on the application of Mass Moment of Inertia and Area Moment of Inertia in determining the maximum load that can be applied to a beam without causing failure. Participants explore the conditions under which each type of moment of inertia is relevant, particularly in structural analysis.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on the conditions for using Mass Moment of Inertia versus Area Moment of Inertia in stress calculations.
  • Another participant expresses confusion about how to derive stress from Mass Moment of Inertia and requests a specific case example.
  • A participant agrees that Area Moment of Inertia is generally used for beam analysis but acknowledges a case where Mass Moment of Inertia is known.
  • Participants discuss the need to clarify the specific question regarding the maximum load that can be applied to a beam.

Areas of Agreement / Disagreement

There is some agreement that Area Moment of Inertia is typically used in beam analysis, but uncertainty remains regarding the application of Mass Moment of Inertia in this context. The discussion does not reach a consensus on how to approach the problem with the given data.

Contextual Notes

Participants have not fully resolved the assumptions regarding the relationship between the types of moments of inertia and stress calculations. The specific case example mentioned has not been detailed in the thread.

ricky_fusion
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Hi..

Is there anyone can explain to me or give a link that explains about condition of using Mass Moment of inertia or Area moment of inertia to Maximum Stress??

http://en.wikipedia.org/wiki/Mass_moment_of_inertia"

http://en.wikipedia.org/wiki/List_of_area_moments_of_inertia"

As I knows, the stress formula is :
MaxStress.jpg


As I knows, generally, I analysis a structure of Beam, etc, I used Area Moment of Inertia. But, I have a case which the knowing data is Mass moment of Inertia.

Thanks for your helps guys.. :biggrin:
 
Last edited by a moderator:
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Hi ricky_fusion! :wink:
ricky_fusion said:
As I knows, generally, I analysis a structure of Beam, etc, I used Area Moment of Inertia. But, I have a case which the knowing data is Mass moment of Inertia.

moment of force = Stress times https://www.physicsforums.com/library.php?do=view_item&itemid=185" per displacement

moment of force = angular acceleration times mass moment

I don't understand how you can find the stress from the Mass moment of Inertia ("ordinary" https://www.physicsforums.com/library.php?do=view_item&itemid=31") …

can you show us this case in which the given data is mass moment? :smile:
 
Last edited by a moderator:
Uupss...
Sorry I forgot to put put the question. :biggrin:
The question is :
How much the maximum load should be put, so the beam is not broken?

Btw,
Let's continued discussed this thread in here :
https://www.physicsforums.com/newreply.php?do=newreply&noquote=1&p=2206127"

Thanxs to reply guys.

Ricky
 
Last edited by a moderator:

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