Torsion question can anyone help?

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A solid steel shaft is needed to transmit a torque of 2000 Nm while limiting twist to 5 degrees per meter. The shear modulus for the steel is 75 GPa. An initial calculation suggested a minimum diameter of 14mm, but this was deemed incorrect. The correct approach involves using the torsion equation and ensuring proper unit conversion and calculations for the polar moment of inertia (J). Accurate calculations are essential to determine the correct minimum shaft diameter.
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Torsion question can anyone help?

Homework Statement


For a power transmission system, a solid steel shaft is required to transmit a torque of 2000 Nm. The limiting factor is that the twist of the shaft should not exceed 5 degrees for each metre of the shaft length. The shear modulus G is 75 GPa for this steel. What should be the minimum shaft diameter??


Homework Equations


The general bending formula
T/J=Tau/r=Gxtheta/L

The Attempt at a Solution


I tried to use the bending formula and come up with 14mm minimum diameter shaft
 
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scw1 said:

The Attempt at a Solution


I tried to use the bending formula and come up with 14mm minimum diameter shaft

Your equation is the torsion equation, but could you post your working, I don't have a calculator on hand to check your answer.
 
scw1: Your equation in post 1 is correct, but your current answer is incorrect. Ensure you are using correct units, and ensure you are using the correct equation for J. Try again.
 
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