Out-of-plane bending stress on an I-beam

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SUMMARY

The discussion centers on the derivation of the out-of-plane bending stress equation for a curved I-beam, specifically expressed as sigmaR = tFlange * sigmaNormal / (radius of curvature). Participants emphasize the importance of defining the reference plane when discussing "out of plane." The conversation indicates that further clarification and examples may be necessary to fully understand the application of this equation in structural analysis.

PREREQUISITES
  • Understanding of I-beam structural properties
  • Familiarity with bending stress concepts
  • Knowledge of curvature in structural elements
  • Basic principles of mechanics of materials
NEXT STEPS
  • Research the derivation of bending stress equations for curved beams
  • Study the application of the out-of-plane bending stress in structural engineering
  • Explore the role of radius of curvature in stress distribution
  • Investigate relevant case studies involving curved I-beams
USEFUL FOR

Structural engineers, mechanical engineers, and students studying mechanics of materials will benefit from this discussion, particularly those focused on the analysis and design of curved structural elements.

gmreit
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TL;DR
out of plane bending stress
I know the out of plane bending stress equation for a curved I beam but I am trying to figure out where it came from. sigmaR = tFlange * sigmaNormal/(radius of curvature)
 
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You need to define what you are thinking about as "out of plane." This is out of what plane?
 
I think I may have figured it out. Let me finish what I have on paper
 
7574460E-E933-4059-A0B5-2FC75674E61E.jpeg
 
Did you find the answer? (Some texts in the picture are not readable).
 

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