Torque transmitted by the shaft
T= Px60/2π N= 1X106X60/2 π x240
= 39783.58 Nm
=39783.58 x 103 N.mm
We know that T/J=GΘ/L or J=TXL/GXΘ
Ï€/32xd⁴ = 39783.58x103x1000/80x103x0.0174
= 28580158
d⁴= 28580158x32/ Ï€= 291077357
d= 103.73 mm
say110mm=130.74mm
Say 135mm
Shear stress induced in the shaft
Torque transmitted by the shaft T = Ï€/16 x Ï„ xd³=
put d=135mm
39783.58x10³ = Ï€/16 x Ï„ x(110)³
Ï„ = 148.15N/mm²=148.15 MPa=82.36MPa