Finding Engineering Strain Just Before Yield for Wire w/ Modulus of Elasticity

AI Thread Summary
The discussion focuses on calculating engineering strain just before yield for a wire, given its yield strength, modulus of elasticity, and diameter changes during stretching. The user seeks to establish that engineering strain closely approximates true strain until necking occurs, but lacks specific details about the modulus of elasticity. They consider using Hooke's law to find lateral strain but are uncertain about how to relate original and final lengths to true strain. Clarification is provided that Young's modulus, synonymous with the modulus of elasticity, applies in both longitudinal and lateral contexts. The conversation emphasizes the need for more information to accurately perform the calculations.
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The engineering yield strength, the modulus of elasticity, the original diameter and final diameter of a wire are given. That wire is stretched and it diameter decreases. I am trying to find the engineering strain just before yield and the corresponding true strain.

So I assume I will find that the engineering strain is equal to or very close to the true strain because their curves don't diverge, in my experience, until necking occurs but I have to show that is the case. I believe that the yield strength is at the yield stress so a good approximation would be the proportionality limit.

My problem is that there are no specifics about the modulus elasticity. If it is young's modulus then I can find the lateral strain from hooke's law but then because I don't know the original or final lengths I don't know how to compare it to the true strain. Is there another law that I am forgetting about? Is hooke's law applicable for the longitudinal case?
 
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Young's modulus is another name for the modulus of elasticity. Hooke's law applies longitudinally, in addition to other axes.
 
What do you mean by the "longitudinal case"?
 
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