Initial,post limit,secant stiffness

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SUMMARY

The discussion focuses on the differences between initial stiffness, post-limit stiffness, and secant stiffness in material mechanics. Initial stiffness is defined as the tangential stiffness at the beginning of the stress-strain curve, while secant stiffness is represented by the secant line from the origin to the yield point. Post-limit stiffness, as illustrated in the provided graph, indicates a significant reduction in stiffness after yielding, particularly in higher bolt grades. Understanding these concepts is crucial for analyzing material behavior under load.

PREREQUISITES
  • Understanding of stress-strain curves
  • Familiarity with material mechanics terminology
  • Knowledge of stiffness concepts in engineering
  • Basic graph interpretation skills
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  • Research the mathematical definitions of initial, post-limit, and secant stiffness
  • Study the stress-strain behavior of different materials under load
  • Examine case studies involving high bolt grades and their post-limit behavior
  • Learn about the significance of yield points in material design
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Engineers, material scientists, and students studying material mechanics who seek to deepen their understanding of stiffness concepts and their implications in structural design.

Sadeq
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Hello,

My question is simple, but it does confuse me.

I need to know the exact difference between
Initial stiffness,post limit stiffness, and secant stiffness in details please

Please clarify this on graph if possible

Thank you
 
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What have you looked up about these topics so far?
 
I know that initial stiffness is the tangential stiffness at the beginning and the secant stiffness represent, the secant line passing through 0,0 and the final point( yield point).But still confuse about the post limit stiffness, that way i asked for drawing to clarify them all at the same graph

Thank you
 
What limit is it that you think it refers to?
 
I don't know exactly that's why i am asking if anyone know about post stiffness concept.
Thank you
 
http://postimg.org/image/3n5smqb35/

in this picture a book mention that the post-limit stiffness of the component (upon yielding) is notably reduced in the case of the higher bolt grade(red line).

And i don't understand post stiffness.

Help me please
 
What is the significance of the slope of the stress strain curve before and after yield?
 

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