Calculated Young's Modulus smaller than typical value (steel)?

In summary, the conversation discusses an experiment using an extensometer and the resulting values for elongation and load. The calculated value was significantly lower than the expected value, prompting the question of what could have gone wrong. The possibility of incorrect plotting and the importance of considering Young's Modulus are mentioned.
  • #1
MegaDeth
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Homework Statement


I carried out an experiment using a extensometer, had a range of values for the elongation and load. I calculated the value from the data and had 11GPa whereas it should be 200GPa. Do you know what could have gone wrong? Thanks a lot.
 
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  • #2
MegaDeth said:

Homework Statement


I carried out an experiment using a extensometer, had a range of values for the elongation and load. I calculated the value from the data and had 11GPa whereas it should be 200GPa. Do you know what could have gone wrong? Thanks a lot.
Are you sure you plotted stress (in GPa) versus strain (dimensionless)? If you are looking for Youngs Modulus, you need to look at the initial slope of the graph you plot (i.e, tangent to curve at low stress value, although for steel the curve should be close to linear below the yield stress).
 

1. Why is the calculated Young's Modulus smaller than the typical value for steel?

There could be several reasons for this. One possibility is that there was an error in the calculation method used. Another possibility is that there are impurities or defects in the steel that affect its stiffness and therefore its Young's Modulus. Additionally, the specific composition and processing of the steel may also play a role in its Young's Modulus.

2. Is it normal for the calculated Young's Modulus to be smaller than the typical value for steel?

No, it is not normal for the calculated Young's Modulus to be smaller than the typical value for steel. Steel is known for its high stiffness and therefore typically has a high Young's Modulus. However, as mentioned before, there could be various factors that contribute to a lower calculated value.

3. How accurate are the methods used to calculate Young's Modulus?

The accuracy of the methods used to calculate Young's Modulus depends on the specific method and the quality of the data used. Some methods may have a higher level of accuracy than others, and the accuracy can also be affected by experimental errors or uncertainties in the data. It is important to carefully consider the method and data used when calculating Young's Modulus.

4. Can a smaller calculated Young's Modulus affect the performance of steel in structural applications?

Yes, a smaller calculated Young's Modulus can affect the performance of steel in structural applications. A lower stiffness can lead to increased deflections and stresses, potentially compromising the structural integrity of the steel. It is important to carefully consider the calculated Young's Modulus when designing structures using steel.

5. Are there any ways to improve the accuracy of calculated Young's Modulus for steel?

Yes, there are ways to improve the accuracy of calculated Young's Modulus for steel. These include using more precise measurement techniques and data, accounting for any impurities or defects in the steel, and utilizing more advanced calculation methods. It is also important to carefully evaluate and compare results from different methods to ensure accuracy.

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