Yield stress vs critical load stress

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SUMMARY

The discussion centers on the distinction between yield stress and critical load stress in beams, particularly in the context of Euler's theory. It is established that critical stress is the maximum stress a beam can withstand before buckling, while yield stress refers to the point at which a beam begins to deform plastically. The consensus is that for long columns, the critical buckling stress is indeed less than the yield stress, contradicting the initial assumption that yield stress is always smaller than critical stress.

PREREQUISITES
  • Understanding of Euler's buckling theory
  • Knowledge of material yield stress concepts
  • Familiarity with beam mechanics
  • Basic principles of structural engineering
NEXT STEPS
  • Study Euler's buckling theory in detail
  • Explore the relationship between yield stress and critical stress in various materials
  • Investigate the implications of beam deformation under load
  • Learn about different types of structural failure modes
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in the analysis of beam stability and material properties will benefit from this discussion.

fonseh
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Homework Statement


In Euler's theory , it's stated that the critical stress of beam is always larger than the yield stress of beam ...I don't really undertstand the differnce between them . Critical stress is defined as the stress that the mximum stress applied before the beam starts to buckle...

Homework Equations

The Attempt at a Solution


Does the yield stress here means the stress which the beam start to deform plastically ?
Why shouldn't the yield stress is smaller than the critical stress ?

When object is subjected to stress , the beam will deform plastically before it starts to bend and break ... So , i think that yield stress is smaller than the critical stress [/B]
 
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fonseh said:

Homework Statement


In Euler's theory , it's stated that the critical stress of beam is always larger than the yield stress of beam ...ISo , i think that yield stress is smaller than the critical stress
Who told you that?
 
PhanthomJay said:
Who told you that?
it's based on my understanding , correct me if I'm wrong
 
Euler buckling applies to long columns where the critical buckling stress is less than the yield stress.
 
PhanthomJay said:
Euler buckling applies to long columns where the critical buckling stress is less than the yield stress.
Do you mean for long column , the critical buckling stress is always less than the yield stress?
 

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