Different values of shear modulus

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Discussion Overview

The discussion revolves around the differing values of shear modulus obtained from two experiments conducted on a steel beam. The first experiment involved twisting the beam within its elastic limit, while the second involved testing the beam to its breaking point. Participants explore the reasons behind the discrepancies in the shear modulus values derived from these tests.

Discussion Character

  • Experimental/applied
  • Debate/contested

Main Points Raised

  • One participant reports obtaining a shear modulus of 106 GPa in the first experiment and 60 GPa in the second, questioning the reason for the significant difference.
  • Another participant requests additional details about the beam, including its cross-section, to better understand the experimental results.
  • It is noted that the beam was cylindrical, with a diameter of 6 mm and a length of 76 mm, and that it was tested to destruction as required.
  • Participants discuss the implications of exceeding the elastic limit, indicating that once this limit is surpassed, Hooke's law no longer applies, making the determination of shear modulus problematic.
  • There is uncertainty expressed regarding the reasons for the differing results, with one participant admitting they are unsure and seeking clarification.

Areas of Agreement / Disagreement

Participants express uncertainty and seek further information to understand the differences in shear modulus values. There is no consensus on the reasons for the discrepancies, and multiple viewpoints are presented regarding the experimental setup and its implications.

Contextual Notes

Limitations include a lack of detailed experimental procedures and data, which may affect the interpretation of results. The discussion also highlights the dependence on the definitions of shear modulus and the conditions under which it is measured.

Jonski
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After completing two experiments to find the shear modulus of a beam, I found two very different results. For test 1, we twisted the beam slowly at very small angles (0.005 - 0.03 rad), only in its elastic form. The torque was found using a torsiometer . In test two a replica of the beam was used and twisted till breaking point (1 - 1274 degrees). Here the results were found using a digital load meter. However the torque, even for lower angles was much less in test 2 than test 1, even though the same method of twisting was used. For the steel beam G was 106GPa in exp 1 and 60 in GPA. Would anyone know why there is such a difference.
 
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Well, what kind of beam was used? What did the cross-section look like?

It's really hard to comment on experimental results when you don't have access to the procedure or the data obtained from the experiment.
 
SteamKing said:
Well, what kind of beam was used? What did the cross-section look like?

It's really hard to comment on experimental results when you don't have access to the procedure or the data obtained from the experiment.
The beam was a cylinder
 
Jonski said:
The beam was a cylinder
This is going to be like pulling teeth. o_O

What was the diameter of the shaft?
How long was it?
Why did you test it to destruction?
What was the material of the shaft?
What torque was applied to the shaft?
What happens to G once the elastic limit is exceeded?
Why do you think you got such different results?
 
SteamKing said:
This is going to be like pulling teeth. o_O

What was the diameter of the shaft?
How long was it?
Why did you test it to destruction?
What was the material of the shaft?
What torque was applied to the shaft?
What happens to G once the elastic limit is exceeded?
Why do you think you got such different results?
Diameter was 6mm
Length was 76mm
I tested it to destruction as that was what was required
It was steel
Torque came from turning it in degrees, and a reading was given either by a torsiometer or a digital load meter
Once the elastic limit is reached hooke's law no longer applies and thus G can not be determined.
I'm not really sure of the last one which is why I asked the question
 

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