Which Shaft Transmits More Torque: Hollow or Solid?

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    Shaft Torque
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A hollow shaft transmits more torque than a solid shaft when both have the same cross-sectional area due to its higher polar moment of inertia, which allows it to resist torsional deformation more effectively. Conversely, when both shafts have the same diameter, the solid shaft transmits more torque because it has a greater material volume and thus a higher capacity to withstand torsion. The strength of a shaft in torsion is influenced by its material properties and the second moment of area, which can be calculated for both types to illustrate their performance. Understanding these principles is essential for applications in engineering and design. Calculating specific examples can provide clarity on the differences in torque transmission between hollow and solid shafts.
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I have a two shaft 1) hollow shaft 2) solid shaft . both has same length.

Condition 1) If diameter of both this shaft is same, which shaft can transmit a more torque? how?

condition 2) If cross section area of both this shaft are same then which shaft can transmit more torque? how?

Please reply with calculation & theory & example if possible...
 
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I think it's pretty obvious this is homework so I'll have to do my due diligence: what do you think? Have you done any work? What lectures have you had in class which discussed this?
 
Actually this is a question ask during my 1st interview..

I read earlier this & reply for condition i think 1 ) ans is solid shaft & for condition 2) Hollow shaft

But i do not find clear answer why ? what is the reason...
 
So I guess the interview didn't go well? Have you taken a class in this topic?

The strength of a shaft in torsion is controlled by its material properties, and the cross-sectional torsion constant a.k.a. the second moment of area. You may try calculating the shaft strength for each case using some made up numbers to see what you come up with, I think it could help with your understanding...

http://en.m.wikipedia.org/wiki/Torsion_(mechanics)
 
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