Find the maximum permissible torque for a shaft of known dimensions

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This mechanics of materials tutorial goes over how to find the maximum permissible torque for a shaft of know dimensions.

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Perfect! Exactly what I needed and very well explained. Thank you!

LocPH.
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Isn't the equation for polar moment of inertia for this problem should be J = pi/4 * (Ro^4-Ri^4) ?

AnthonyLorenzo-duzb
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Just watched your vid on c++ spaces and tabs! Can you make an update version maybe? Btw great vid

lm-dev
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Thanks for the explanation. What surprised me that the length of the rod doesn't have any effect for this one. But now when I think about it more, it makes sense. The length only changes how much twist can be in the rod before it brakes. Thank you for opening my eyes :D

TheTugge
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why did he do 'to the power of 4' for J?

wizardhunts
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Sorry for the late comment, where does one find the allowable shear stress?

danerobinson
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Are you sure you want to use the inner radius to earn the Maximum Torque out of this?

Because when we rearrange the equation for Torque it'll be: T = ( Shear stress * I polar ) / ( distance from center ) while we have already fixed values for each of: Shear stress = 85 Mpa & I polar = 1021017.612 mm^4 . And what we have left is the value of: Distance from the center, and since it is in the denominator we need to decrease it's value as much as possible so the Torque's value rise to it's Max.. .

and in order to do that is to choose the inner radius of the shaft ( 20 mm ) to obtain our MAXIMUM Torque.. am i right ?

محمدالعجيري-رم