I know where i was having problems it was in the formula, i was dividing Pi by 2x(r^4) and not Pi/2 x (r^4).
I get a result of 26534.37mm^3 for Z.
However when i now multiply this by the 77,000N/mm^2 i get 2043146490Nmm. Not the 4.15x10^7 that you got.
I have calculated the torque using the formulas given and i get 3.5E-5 Nmm of torque that a Ø140mm shaft can transmit when material allowable stress is 77,000N/mm^2.
I think somewhere i have miscaculated, i have checked a couple of times and got the same result.
O/D = 140mm
R = 70mm...
I have a stainless steel shaft that is Ø140mm x 936mm long.
I need to calculate what the maximum torque is that I can apply to this shaft. I have looked around for formulas and have just got myself confused. Could someone tell me what the formula is that i need to work this out.