How to Calculate Young's Modulus from a Non-Linear Stress-Strain Graph

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Homework Help Overview

The discussion revolves around calculating Young's modulus from a non-linear stress-strain graph. Participants are examining how to approach the calculation given the non-linear nature of the data presented.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss finding gradients between points on the graph and note the variability in these gradients, suggesting the graph is non-linear. There is a consideration of the elastic limit and the relevance of the initial linear portion of the graph for calculating Young's modulus.

Discussion Status

Some participants have provided insights into the nature of the data points and their gradients. There is an acknowledgment of the need to focus on the initial linear segment for a valid calculation of Young's modulus, although no consensus on a specific method has been reached.

Contextual Notes

There is mention of an attachment that was initially missing, which may have contained critical information for the problem context. Participants are also reflecting on the implications of the non-linear graph in relation to the calculation of Young's modulus.

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Homework Statement


Question simply asks to calculate the Youngs modulus. I've attached the question.



Homework Equations


Youngs Modulus = (change in stress)/(change in strain)


The Attempt at a Solution


okay, what i did was simply find the gradient between each of the points. However they were all different gradients, which means the graph isn't linear (i think). So then how do i solve it?
 

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TyErd said:

Homework Statement


Question simply asks to calculate the Youngs modulus. I've attached the question.

Homework Equations


Youngs Modulus = (change in stress)/(change in strain)

The Attempt at a Solution


okay, what i did was simply find the gradient between each of the points. However they were all different gradients, which means the graph isn't linear (i think). So then how do i solve it?

I believe Youngs modulus can only be calculated for stress-strain that remains below the elastic limit - ie the first straight part of the graph.

EDIT: btw, I don't see the question attached, but hopefully this will help anyway.
 
sorry about that, I've attached the question now.
 
TyErd said:
sorry about that, I've attached the question now.

What did you make of the statement in the first sentence?
 
Oh i get it, the first data point would be 0 stress 0 strain and the gradient between 0,0 and the 1st data point is the same as the gradient between the first data point and the second data point but different from the 2nd and 3rd. I get it, thank you!
 
TyErd said:
Oh i get it, the first data point would be 0 stress 0 strain and the gradient between 0,0 and the 1st data point is the same as the gradient between the first data point and the second data point but different from the 2nd and 3rd. I get it, thank you!

well done.
 

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