How Is Maximum Shear Stress Calculated for a Solid Circular Shaft?

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Solidsam
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Homework Statement



A solid circular steel drive shaft is 4 m long and 60 mm diameter. The modulus of
rigidity of the steel is 85 GPa and its maximum allowable shear strength is 150 MPa.
The shaft is used to transmit a power of 30 kW while rotating at 500 rev/min.
Calculate the following:

a) the torque carried by the rotating shaft [2 marks]


Homework Equations



J=pi(R^4)/2=1.272*10^6 mm^4

T=(J*maximum shear stress)/r




Homework Statement



How do i get the maximum shear stress?
 
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SteamKing said:
You haven't shown any equations or work to determine the amount of torque acting on the shaft at the rated conditions.

ok well could u tell me what i should do
 
oh T=30000/(500*(pi/30))