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## Homework Statement

Hi, thanks for looking! Appreciate it!

Right, the question is

For a HOLLOW shaft determine, max torque induced, pilot second moment of area, max shear stress at outer edge, and max angle of twist induced in the shaft, with a material modulus of rigidity of 110 GN/m2. Given that-

Shaft diameters, 160mm and 140mm, length 650mm, power 350kw at 3500rpm.

I have calculated all of these and got what look to be reasonable answers, but the second part of the question is, if you were to replace the hollow shaft will a solid shaft, what would the diameter of the new shaft be? If it were to perform the same duty of max torque and max shear stress.

I have no formula for working this out??

The only info I have is-

T\J = ζ/r

And

∏Ds4

(over)

32 Ds/2

Hope someone can help, thank you!