What is the method for calculating the breaking stress of brittle steel?

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SUMMARY

The method for calculating the breaking stress of brittle steel involves understanding the material's elastic modulus (E) and thermal expansion coefficient (alpha). When a steel rod is heated and then cooled while clamped, it experiences thermal stresses that can lead to fracture rather than elastic deformation, as described by Hooke's Law. The failure mechanism is primarily due to the material's inability to accommodate the induced stresses without yielding, resulting in a brittle fracture.

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  • Understanding of material properties, specifically elastic modulus (E) and thermal expansion coefficient (alpha).
  • Knowledge of thermal stress calculations in materials science.
  • Familiarity with Hooke's Law and its application to elastic materials.
  • Basic concepts of brittle fracture mechanics.
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german1234
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Hi

If I was to heat a steel rod that is brittle...then clamp it at both ends and allow it to cool to a certain lower temperature at which it breaks, how would I go about calculating the breaking stress of the steel. [ I know value of E and alpha]

Thanks for any help you supply.
 
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What are your thoughts first?

Why would it break rather than simply stretch according to Hookes law?

I mean what is your proposed failure mechanism?
 

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