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

In summary: The maximum load that should be put on a beam to prevent it from breaking is dependent on the material that the beam is made of and the design of the beam.
  • #1
ricky_fusion
27
0
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:
 
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  • #2
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:
 
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  • #3
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  • #5
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
 
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1. What is moment of inertia?

Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is similar to mass in linear motion, but instead of measuring an object's resistance to changes in velocity, it measures its resistance to changes in angular velocity.

2. How is moment of inertia calculated?

The moment of inertia of an object can be calculated by multiplying the mass of the object by the square of its distance from the axis of rotation. This can be expressed mathematically as I = mr², where I is the moment of inertia, m is the mass, and r is the distance from the axis of rotation.

3. What is the relationship between moment of inertia and stress?

Moment of inertia is related to stress through the concept of bending. When a force is applied to an object, it causes it to bend. The greater the moment of inertia of the object, the less it will bend under a given amount of stress. This is why objects with larger moments of inertia, such as I-beams, are used in construction to support heavy loads.

4. How does moment of inertia affect the strength of a structure?

The moment of inertia directly affects the strength of a structure by influencing its ability to resist bending and deformation. Objects with larger moments of inertia are stronger and less likely to fail under stress compared to objects with smaller moments of inertia.

5. What are some real-world applications of moment of inertia and stress?

Moment of inertia and stress are important concepts in engineering and physics. They are used to design structures and machines that can withstand various types of stress, such as bending, torsion, and compression. Some common examples include bridges, buildings, and airplane wings. Moment of inertia is also used in sports equipment, such as golf clubs and tennis rackets, to improve performance and reduce the risk of injury.

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