How Do You Calculate Elastic Modulus and Strengths from a Stress-Strain Curve?

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Calculating elastic modulus and strengths from a stress-strain curve involves understanding key definitions and measurements. The elastic modulus is determined from the initial linear portion of the curve, typically up to 0.02 strain, while yield and tensile strengths can be identified at specific points on the curve. To find uniform and total elongation, the original and final lengths must be accurately measured, which can be derived from the curve at the 0.2% offset point or the total elongation region. It's important to note that the 2% rule applies to materials like aluminum, which do not exhibit a linear stress-strain relationship throughout. Understanding these concepts is crucial for accurate calculations in material science.
Name:riley
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Hello I'm having trouble wrapping my head around finding things from stress strain curvesI need to find:
Elastic modulus (Young’s modulus)
•Yield strength
•Tensile strength
•Uniform and total elongation (ductility)
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elastic modulus I think is 1240/0.02 = 62000

but I'm unsure of how to find the others.

Thank you to anyone who helps out.
 
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No, that is not the Youngs modulus.

Can you define any of the terms in your own words? i.e. do you know what you are looking for?
 
Thank you for your response

I am OK with yield and tensile strength it turns out.

I know what the elongation is and understand the formula Lf - Lo/Lo I just don't understand where to get the lengths from in the curve, I believe the strain is the elongation of the material but don't know where to get the original an final lengths from. Either from uniform at the 0.2% point or the total elongation.

The elastic modulus is the measure of the elasticity of the material, I know that is measured form 0 to 0.02 ( the 2% rule) of the strain as this is the beginning of the plastic region. As E= stress/strain I thought but it seems that's not the case.

I hope these explanations are satisfactory, I understand why you asked for them I guess I should have showed more of an effort to find the answers.
 
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Name:riley said:
Thank you for your response

I am OK with yield and tensile strength it turns out.

I know what the elongation is and understand the formula Lf - Lo/Lo I just don't understand where to get the lengths from in the curve, I believe the strain is the elongation of the material but don't know where to get the original an final lengths from. Either from uniform at the 0.2% point or the total elongation.

You need to review the definition of 'engineering strain':

http://www.engineeringtoolbox.com/stress-strain-d_950.html

Scroll down until your reach the section titled 'Strain'.

The elastic modulus is the measure of the elasticity of the material, I know that is measured form 0 to 0.02 ( the 2% rule) of the strain as this is the beginning of the plastic region. As E= stress/strain I thought but it seems that's not the case.

This rule only applies to materials for which there is no region where Hooke's law applies, i.e., the stress is not a linear function of the strain anywhere on the stress-strain curve. Steel, for example, has a well-defined region where the stress-strain curve is linear; aluminum does not, and therefore the 2% rule is used to estimate Young's modulus for aluminum and aluminum alloys.
 
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