What is the Formula for Sizing a Shaft at 150,000rpm?

  • Thread starter Thread starter max11
  • Start date Start date
  • Tags Tags
    Shaft Sizing
Click For Summary
SUMMARY

The discussion focuses on sizing a shaft for a turbocharger operating at 150,000rpm, requiring a torque transmission of 9Nm and a length of 200mm, with a shear stress limit of 457MPa. The initial formula used was D = 1.72 (Tmax/σmax)^(1/3), which yielded an impractical diameter of 0.46mm. A correction by another participant provided a more realistic diameter of 4.65mm, indicating the importance of accurate calculations in mechanical design.

PREREQUISITES
  • Understanding of torsion and shear stress in materials
  • Familiarity with mechanical engineering principles
  • Knowledge of the formula for shaft diameter calculation
  • Experience with turbocharger mechanics
NEXT STEPS
  • Research the impact of rotational speed on shaft design
  • Learn about material selection for high-stress applications
  • Explore advanced shaft design formulas and methodologies
  • Study the effects of torque on shaft integrity and performance
USEFUL FOR

Mechanical engineers, automotive engineers, and anyone involved in the design and analysis of high-speed rotating machinery, particularly in turbocharger applications.

max11
Messages
2
Reaction score
0
Hiya

I was hoping that somebody would be able to help me.

I need to size a shaft coming from a turbocharger spinning at 150,000rpm the shaft needs to transmit 9Nm and 200mm in length, the shear stress of the material is 457MPa.

I need to size the diameter of the shaft and know that it is going to be very small but can't seem to find a formula that gives me a sensible answer, right now I am using a formula from engineering toolbox (http://www.engineeringtoolbox.com/torsion-shafts-d_947.html)

D = 1.72 (Tmax/σmax)1/3

But this give me a diameter of 0.46mm which seems so small that it would just twist and break.

an y help greatly appreciated.

Cheers
 
Engineering news on Phys.org
Hi Max. Check your work again. I'm getting 4.65 mm.
 

Similar threads

Shaft and Pin Size of Slider Crank Mechanism
  • · Replies 2 ·
Replies
2
Views
4K
Calculating Shaft Diameter for Torsion: Understanding the Formula
  • · Replies 15 ·
Replies
15
Views
52K
How to Determine Maximum M and T in a Cantilever Shaft?
  • · Replies 3 ·
Replies
3
Views
5K
Dealing with Hollow and Solid shafts....
  • · Replies 1 ·
Replies
1
Views
2K
What Size Bolt Do I Need for 10,000 ft/lbs of Torque on a 1.25 inch Drive Axle?
  • · Replies 8 ·
Replies
8
Views
6K
Radial Deflection of a rotating shaft
  • · Replies 11 ·
Replies
11
Views
5K
Designing a Shaft for Specific Torsional Loads
  • · Replies 5 ·
Replies
5
Views
3K
Hollow shaft power transmission
  • · Replies 3 ·
Replies
3
Views
3K
EML3005 Mechanical Design Project Shaft Analysis
  • · Replies 1 ·
Replies
1
Views
4K
Can this machine handle increased torque?
  • · Replies 1 ·
Replies
1
Views
2K