Can you use the Goodman relation

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In summary, the conversation discusses the relationship between stress, fatigue limit, and ultimate tensile strength for steel. It is mentioned that the Goodman relation is still valid and that for plain carbon steels, the endurance limit is typically half of the ultimate tensile strength. However, it is important to consider derating factors in real-world applications. Another potential approximation is that the fatigue limit is approximately 250 times the Brinell hardness up to a Brinell hardness of 400.
  • #1
bill nye scienceguy!
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if your stress cycles between some stress xMPa and 0? My fatigue limit is coming out smaller than my stress amplitude and consequently my component is falling outside of the bounded region.

After looking a little closer, obviously the Goodman relation is still valid. So a subsequent question is: can I asume the fatigue (endurance) limit to be roughly half the ultimate tensile strength for steel? I think this may stop me getting the nonsensical answers my diagram is producing.
 
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For plain carbon steels, the relation of the endurance = .5(UTS) is a valid rule of thumb. Just remember that, in practice, you usually have to include derating factors since that is derived from lab samples, not real parts. I have also seen the relation that fatigue limit is also approximately 250(Brinnel Hardness) up to a Bh = 400.
 
  • #3
thanks, FredGarvin. I hadn't heard about the Brinell relationship. I found a reference that said Goodman used 1/3 UTS to approximate fatigue limit so I used that to be conservative.
 

FAQ: Can you use the Goodman relation

Can the Goodman relation be used for any type of material?

No, the Goodman relation is specifically used for analyzing the fatigue strength of metals and alloys.

Is the Goodman relation suitable for all loading conditions?

No, the Goodman relation is only applicable for uniaxial loading conditions.

How does the Goodman relation account for stress concentration factors?

The Goodman relation does not directly account for stress concentration factors. However, they can be incorporated into the analysis by adjusting the mean and alternating stresses appropriately.

Can the Goodman relation be used for predicting infinite life fatigue strength?

No, the Goodman relation is only valid for predicting finite life fatigue strength. Other methods, such as the Basquin equation, should be used for predicting infinite life fatigue strength.

Are there any limitations to using the Goodman relation?

Yes, the Goodman relation assumes that the material exhibits linear elastic behavior and that the fatigue failure is caused by cyclic stresses alone. It may not accurately predict the fatigue strength for materials that exhibit non-linear behavior or are subjected to complex loading conditions.

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