Young's modulus times second moment of area

AI Thread Summary
The discussion revolves around the formula (E x I) / y, where E is Young's Modulus, I is the second moment of area, and y is half the bar height. This term represents the relationship between bending moment and normal strain at the surface of a bar during bending, with EI referred to as flexural rigidity. Additionally, the formula (M/I) = (E/R) is clarified, where R denotes the radius of curvature of the bending beam. Understanding these relationships is crucial for analyzing bending behavior in materials. The conversation emphasizes the importance of these mechanical properties in structural engineering.
Pietair
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Good day,

Im am wondering what you get when you determine the following of a bar during a bending experiment:

(E x I) / y

E = the Young's Modulus [kgf/mm^2]
I = Second moment of area [mm^4]
y = half of the bar height [mm]

Is there a name for this term? And what does this term represent?

Thanks in advance!
 
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The reciprocal of this term is the magnitude of the normal strain at the surface per unit bending moment (because |\sigma_{\rm{max}}|=My/EI). EI alone is called the flexural rigidity.
 
Allright, thanks a lot.

Then I have got one question left:

In the formula:
(M/I) = (E/R)

What does "R" represent?
 
The radius of curvature of the bending beam.
 
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