Questions on Bending Stresses (which area will have 0 stress)

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SUMMARY

The discussion centers on the concept of bending stresses in beams, specifically addressing the location of the neutral axis and its implications on stress distribution. It highlights that the bending center does not necessarily align with the geometric center of the cross-section, as illustrated in the "Stress in large bending deformation" image. The equation for bending stress, σ = My/Ixx, assumes zero stress at the neutral axis, which raises questions about the relationship between the neutral plane and stress distribution. Understanding these nuances is crucial for accurate structural analysis.

PREREQUISITES
  • Understanding of bending stress and its calculation using the formula σ = My/Ixx.
  • Familiarity with the concept of the neutral axis in beam theory.
  • Knowledge of stress distribution in materials under bending loads.
  • Basic principles of structural mechanics.
NEXT STEPS
  • Research the concept of the neutral plane and its significance in bending stress analysis.
  • Study advanced topics in beam theory, including shear stress distribution.
  • Explore the effects of large deformations on stress distribution in materials.
  • Learn about finite element analysis (FEA) tools for simulating bending stresses in complex structures.
USEFUL FOR

Structural engineers, mechanical engineers, and students studying materials science or mechanics of materials will benefit from this discussion, particularly those focusing on bending stress analysis and structural integrity.

Su Solberg
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http://en.wikipedia.org/wiki/Bending

Please have a look on the right most picture in "Stress in large bending deformation".
The Stress distribution shows that the bending center is not locate at the middle of the cross-section. (which also happen at connection caculation)

However, base on normal caculation on a beam under bending, the equation used(Stress=M*y/Ixx) is still assuming zero value at crosssection's center line.

I wonder what is their relationship.

Thank you very much in advence.
 
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stress = My/Ixx

When y=0, stress = 0.

Do you know what "y" is?(it is not the the distance of plane from the center plane of the section always) Have you read about the neutral plane?
 
Neutral plan ftw!
 

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