Torsion question can anyone help?

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SUMMARY

The discussion centers on calculating the minimum diameter of a solid steel shaft required to transmit a torque of 2000 Nm while limiting the twist to 5 degrees per meter. The shear modulus (G) for the steel is specified as 75 GPa. The initial attempt at a solution suggested a minimum diameter of 14 mm, but this was identified as incorrect due to improper unit usage and the need for accurate calculations involving the polar moment of inertia (J). Participants emphasized the importance of applying the torsion equation correctly to arrive at the right answer.

PREREQUISITES
  • Understanding of torsion equations in mechanics
  • Familiarity with shear modulus and its application
  • Knowledge of polar moment of inertia (J) calculations
  • Basic proficiency in unit conversions for torque and angle measurements
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  • Review the derivation of the torsion equation and its applications
  • Study the calculation of polar moment of inertia (J) for circular shafts
  • Practice unit conversions for torque and angular displacement
  • Explore the effects of material properties on shaft design in mechanical engineering
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Mechanical engineers, students studying mechanics of materials, and professionals involved in power transmission system design will benefit from this discussion.

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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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