Finding the tensile modulus E11

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    Modulus Tensile
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Discussion Overview

The discussion revolves around the process of finding the tensile modulus E11 from a given set of stress and strain data. Participants explore methods for calculating the modulus, addressing potential issues with varying values obtained from the data.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant asks how to calculate the tensile modulus E11 from provided stress and strain data, noting inconsistencies in their results.
  • Another participant suggests that the issue may stem from using the wrong relation for E, clarifying that E should be calculated as stress divided by strain.
  • A participant acknowledges a typo in their previous message and reiterates their need for guidance on finding E from the data.
  • One participant questions the nature of the data, asking for clarification on whether the measurements are from the same trial or different trials, and suggests plotting the results to visualize the stress/strain curve.
  • A later reply indicates that if the linear part of the slope from the stress/strain curve is found, it could imply that E equals the slope value in GPa.
  • Another participant agrees with the interpretation of the slope and mentions the consideration of offset, although they are unsure of the participant's familiarity with the topic.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the calculation of E11 and the interpretation of the data. There is no consensus on the best approach or the necessity of considering offsets in the calculations.

Contextual Notes

Participants do not clarify the conditions under which the data was collected, nor do they resolve the uncertainty regarding the need to account for offsets in the modulus calculation.

helpinghand
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Hey guys,

Really basic question, how do I find the tensile modulus E11 from a set of data?

Let the data be:

stress(GPa) 0.050 0.300 0.454 0.800
strain(mm/mm) 0.002 0.0025 0.004 0.0087

I know how to find young modulus E=strain / stress

When finding E for each of the data points, I keep getting different values, so how would I go about finding E11?

Thanks for any help :biggrin:
 
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It's probably because you're using the wrong relation for E.

E = stress / strain
 
oops... I get finding E with stress / strain (Massive typo in the previous post)

But how do I find E from the data?
 
What exactly is the data?

From your notation, it looks like you are looking for E by examining stresses and strains in the axial direction? Are the measurements all the same trail but different points, are they different trials same points, is it a force machine and those are incremental steps?

If the last is the case (which seems most logical to me), then plot your results, and you should get a graph that looks like a Stress/strain curve. Then depending on whether you are accounting for the offset or just looking for the standard modulus, you look at the linear part of the slope only (this you may have to interpolate) and do your math from that.
 
Travis_King said:
What exactly is the data?

From your notation, it looks like you are looking for E by examining stresses and strains in the axial direction? Are the measurements all the same trail but different points, are they different trials same points, is it a force machine and those are incremental steps?

If the last is the case (which seems most logical to me), then plot your results, and you should get a graph that looks like a Stress/strain curve. Then depending on whether you are accounting for the offset or just looking for the standard modulus, you look at the linear part of the slope only (this you may have to interpolate) and do your math from that.

say that I've found the linear part of the slope and it comes out to be y = 0.00478 + 159.495x

would it mean that the E = 159.495GPa ?
 
Yup, if I'm reading your question correctly. I don't know how far you've gone into this stuff, so I don't know if you need to consider the offset, but if all you were given was data and told to find the E, then this is how you do it.
 
alright... cool thanks
 

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