Young's modulus times second moment of area

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Discussion Overview

The discussion centers on the relationship between Young's modulus, the second moment of area, and their implications in bending experiments. Participants explore the significance of the term (E x I) / y and its representation in the context of beam bending mechanics.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the term (E x I) / y and whether it has a specific name or representation in bending experiments.
  • Another participant explains that the reciprocal of this term relates to the normal strain at the surface per unit bending moment, noting that EI is referred to as flexural rigidity.
  • A follow-up question is posed regarding the meaning of "R" in the formula (M/I) = (E/R).
  • A response clarifies that "R" represents the radius of curvature of the bending beam.

Areas of Agreement / Disagreement

The discussion does not indicate any disagreement, but it involves clarifications and inquiries about specific terms and formulas related to bending mechanics.

Contextual Notes

Participants do not explicitly define the term (E x I) / y, nor do they resolve the broader implications of its use in bending experiments.

Who May Find This Useful

Individuals interested in mechanics of materials, structural engineering, or those studying beam bending behavior may find this discussion relevant.

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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