How to calculate sample stiffness

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To calculate the torsional stiffness of a sample, the formula used is 1/samplek = 1/totalk - 1/machinek, with the machine stiffness (k) provided as 42800 NM/radian. The total stiffness is represented by the slope of the line, given as y = 658x. The slope indicates the total stiffness, and it is necessary to find the shear modulus of the material from this value. By applying the provided equation, the sample stiffness can be determined, which will facilitate the calculation of the shear modulus. Understanding these relationships is crucial for accurate stiffness calculations in torsion.
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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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