Max Torque for Steel Torsion Bar - Calculate Now

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In summary, the maximum torque that can be safely applied to the cylindrical torsion bar is equal to the allowable shear stress (200 MPa) multiplied by the second polar moment of area (J) divided by the radius (r). The elasticity modulus (E) is not needed for this calculation, as the maximum torque is determined by the stress and geometry, not the material's elasticity. The shear modulus (G) would be necessary for calculating rotation, but not for determining the maximum torque.
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2slowtogofast
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A cylindrical torsion bar made of steel (E = 209 GPa) with diameter of 20mm. The allowable shear stress for this material is 200 MPa what is the max torque that can be safely applied to this bar.

[tex]\tau[/tex] = Tr / J

[tex]\tau[/tex] = shear stress
T = torque
r = radius
J= second polar moment of area

I was thinking of using this formula but I would not have used E = 209GPa in my solution is this wrong? If so could somebody point me in the right direction.
 
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  • #2
You are correct, you don't need E; the max torque is a function of the max stress and the geometry of the section. It is not related to the elasticity modulus. You would need the shear modulus G if you wanted to calculate the amount of rotation, not the stress.
 
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thanks
 

FAQ: Max Torque for Steel Torsion Bar - Calculate Now

1. What is "max torque" and why is it important to calculate for steel torsion bars?

"Max torque" refers to the maximum amount of force that can be applied to a steel torsion bar before it reaches its breaking point. It is important to calculate because it ensures that the torsion bar can withstand the intended load and prevents failure or damage.

2. How do you calculate the max torque for a steel torsion bar?

The formula for calculating max torque for a steel torsion bar is: T = (G * J * φ) / L, where T is the max torque, G is the modulus of rigidity, J is the polar moment of inertia, φ is the angle of twist, and L is the length of the torsion bar.

3. What factors can affect the max torque for a steel torsion bar?

The max torque for a steel torsion bar can be affected by various factors such as the material properties of the steel, the shape and dimensions of the torsion bar, and the conditions of the application (e.g. temperature, environmental factors).

4. What happens if the max torque for a steel torsion bar is exceeded?

If the max torque for a steel torsion bar is exceeded, the bar may experience plastic deformation, leading to permanent damage and potential failure. This can compromise the structural integrity of the torsion bar and affect the overall performance of the system it is a part of.

5. Are there any safety precautions to consider when calculating max torque for a steel torsion bar?

Yes, it is important to consider safety precautions when calculating max torque for a steel torsion bar. This includes using proper protective gear and following safety guidelines when handling and testing the torsion bar, as well as ensuring that the calculated max torque is well below the breaking point of the bar to prevent any accidents or failures.

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