Calculating young's modulus from data provided

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Discussion Overview

The discussion revolves around calculating Young's modulus for a polyester polyurethane material based on provided mechanical properties from a datasheet. Participants explore definitions, calculations, and the implications of the material's behavior under stress, particularly in relation to its elastic and plastic regions.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant requests assistance in determining Young's modulus from the provided data, noting a lack of information on the ASTM test method.
  • Another participant questions the definition of Young's modulus and suggests that the 100% and 300% moduli listed in the data could be relevant to the calculation.
  • A different viewpoint argues that the 100% and 300% moduli cannot represent Young's modulus, asserting that Young's modulus should be significantly higher, around 150,000 psi, based on the tensile strength provided.
  • One participant explains the calculation of Young's modulus using stress and strain, providing specific calculations for 100% and 300% extensions, and notes the implications of the material entering the plastic region at higher extensions.
  • This participant also emphasizes uncertainty regarding the material's elastic behavior up to 100% extension, suggesting that the provided figures are standard markers on the stress-strain curve.
  • A later reply acknowledges understanding after the explanation, indicating some clarity was achieved in the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the definition and calculation of Young's modulus, with no consensus reached on whether the provided moduli can be used to determine it accurately. The discussion remains unresolved regarding the exact nature of the material's elastic and plastic behavior.

Contextual Notes

There is uncertainty regarding the assumptions made about the material's behavior at different extensions, as well as the definitions and implications of the terms used in the calculations.

flyingbird
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I am using one film mateial (Polyester Polyurethane) for some purpose. I have got data sheet from the manufacturer with following details:
Durometer 90Shore A D 2240
Specific Gravity 1.19 D792
Elongation @ Break Elast 515% D 412
Tensile Str. @ Break Elast 5,400 psi D 412
100% modulus 1500 psi D 412
300% modulus 2950 psi D 412

Here D... is the ASTM test method. I have to determine Young modulus for this material, I don't have details of ASTM test method. I have uploaded PDF file of material spec too.
Can anyone help me here?
 

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What is your definition of Young's Modulus?

The information is right there in your list : What do you think the 100% & 300% Moduli are?
 
Studiot said:
What is your definition of Young's Modulus?

The information is right there in your list : What do you think the 100% & 300% Moduli are?

Young modulus is slop of the stress vs strain curve in elastic region. The values which are given here as 100% & 500% moduli cannot be young modulus, because tensile strength is 5400psi which is generally much less than young modulus. Young modulus for this material should be around 150000 psi!
 
(Polyester Polyurethane)

You are looking at a plastic material.
This means that in a test to destruction it has a very small elastic region and a large plastic region.

[tex]YoungsModulus = stress\,x\,\frac{1}{{strain}} = stress\,x\,\frac{{{L_0}}}{{\Delta L}}[/tex]

So at 100% extension

[tex]stress\,x\,\frac{{{L_0}}}{{2{L_0} - {L_0}}} = \frac{{stress}}{1} = 1500psi[/tex]

and at 300%extension

[tex]stress\,x\,\frac{{{L_0}}}{{4{L_0} - {L_0}}} = \frac{{stress}}{3} = \frac{{2950}}{3} = 283psi[/tex]

The fact that these two figures are different tell us that by the time you have drawn the material out to 300% extension you are well into the plastic region and require little extra force to achieve this. If you pulled the film out the 300% extension and let go it would remain well stretched.

It is true that you cannot be absolututely certain that the material is elastic up to 100% extension, from the figures given, but they are standard marker points on the curve.
 
Last edited:
Studiot said:
You are looking at a plastic material.
This means that in a test to destruction it has a very small elastic region and a large plastic region.

[tex]YoungsModulus = stress\,x\,\frac{1}{{strain}} = stress\,x\,\frac{{{L_0}}}{{\Delta L}}[/tex]

So at 100% extension

[tex]stress\,x\,\frac{{{L_0}}}{{2{L_0} - {L_0}}} = \frac{{stress}}{1} = 1500psi[/tex]

and at 300%extension

[tex]stress\,x\,\frac{{{L_0}}}{{4{L_0} - {L_0}}} = \frac{{stress}}{3} = \frac{{2950}}{3} = 283psi[/tex]

The fact that these two figures are different tell us that by the time you have drawn the material out to 300% extension you are well into the plastic region and require little extra force to achieve this. If you pulled the film out the 300% extension and let go it would remain well stretched.

It is true that you cannot be absolututely certain that the material is elastic up to 100% extension, from the figures given, but they are standard marker points on the curve.
Oops.
I got the point, thanks a lot. :smile:
 

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