How to calculate sample stiffness

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SUMMARY

The discussion focuses on calculating the torsional stiffness of a sample using the formula 1/samplek = 1/totalk - 1/machinek. The machine stiffness (k) is provided as 42800 NM/radian, while the total stiffness is derived from the slope of the line represented by the equation y = 658x. Participants clarify that the slope corresponds to the total stiffness, which is essential for determining the shear modulus of the material. The correct application of these formulas allows for accurate calculations of both sample stiffness and shear modulus.

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hi i need to calculate the torsional stiffness of a sample, the data is in the excel file.

To work it out it = 1/samplek= 1/totalk - 1/machinek

the machine k was given as 42800NM/radian

the total k is the slope of the line which comes to y=658x

what i don't get is what am i meant to do with y=658x,

cheers any help would be great
 

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I've done a question very similar to that, and if I remember correctly then the gradient was either one of the stiffnesses or the shear modulus. But it was a year ago and I've not done anything like that since so I'm a little rusty on torsion.

Edit: it's come back to me slightly. You have to find the shear modulus of the material, right? The slope is the total stiffness. Use the given equation to find out the sample stiffness and then you can easily calculate the shear modulus.
 
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