Elastic recovery-can you just check if i've got it right

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Discussion Overview

The discussion revolves around the calculation of elastic recovery in a wire subjected to a tensile force, specifically focusing on the parameters of material science relevant to dental technology. Participants explore the relationship between yield strength, modulus of elasticity, and the resulting elastic recovery upon removal of the tensile load.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant presents a calculation for elastic recovery based on yield strength and modulus of elasticity, arriving at a value of 1.04 mm.
  • Another participant confirms the calculation as correct.
  • A participant questions the relevance of the tensile force and tensile load in the calculation, suggesting they pertain to the plastic region of the stress-strain graph.
  • Another participant explains that elastic recovery is limited to the elastic limit, noting that exceeding this limit results in permanent deformation.

Areas of Agreement / Disagreement

There is some agreement on the correctness of the calculation presented, but questions remain regarding the relevance of certain parameters and the implications of exceeding the elastic limit. The discussion does not reach a consensus on the necessity of including tensile force in the calculations.

Contextual Notes

Participants express uncertainty about the role of tensile force and tensile load in the context of elastic recovery calculations, indicating potential limitations in understanding the relationship between elastic and plastic deformation.

maha
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Hiya
Im doing material science as part of my dental technology course. I've got a question, and I'm fidning it hard to tackle.If anyone can help or set me in the right direction, i would be most grateful

Wire, of diameter 0.46 mm, length 100mm.it is subjected to tensile force of 2356 N, taking it beyond its yield point.
Calculate, in mm, the elastic recovery that would occur upon removal of the tensile load

Info given: Modulas of elasticity 67 GPa
Yield Strength 698 MPa
Tensile Strength 1379 MPa



okies, i think i got it. so, to calculate elastic recovery, i can only use the elastic range, so in order to work out elastic strain, i use yield strength/modulas of elasticiy. that gives me an answer of 1.041791045 N
Then, strain = extension/original, so to work out extension, i caluclate, strain x original length, which gives me 1.041791045 x 10-3 m
So answer is 1.04 mm of elastic recovery?

So then , i do not need to calulate the cross-sectional area or the stress value?

Can somebody just check this for me please :)
 
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Didn't we have this discussion already? :smile:

Answer: Yes, it's correct!.
 
yes, but i wasnt sure if i was right that's why i posted it back up. How come the inforamtion of information of the tensile force and tensile load is not used. Is this because they are related to plastic part of the graph?

Thank you for your help :) hope i get the 4 marks
 
Because the elastic recovery will only be upto the Elastic limit, if it goes after such limit, there will be permanent deformations on the material, like i said on your other thread.
 

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