Designing Coaxial Output Shafts: Fatigue Analysis

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SUMMARY

This discussion focuses on the design of coaxial output shafts, specifically addressing the challenges of fatigue analysis for a hollow shaft that shares its axis with a solid inner shaft. The participant has applied the Goodman fatigue criterion and is seeking guidance on sizing the hollow shaft, which differs from solid shaft design. Recommendations include consulting ASME B106.1M for methodologies that incorporate alternating bending and torsional moments, as well as deriving the Goodman equation for hollow shaft applications.

PREREQUISITES
  • Goodman fatigue criterion
  • ASME B106.1M, Design of Transmission Shafting
  • Cross-sectional moment of inertia
  • Understanding of bending and torsional moments
NEXT STEPS
  • Research the derivation of the Goodman equation for hollow shafts
  • Study the methodologies outlined in ASME B106.1M for shaft design
  • Explore the impact of cross-sectional area on fatigue performance
  • Investigate bearing deflection calculations for hollow shafts
USEFUL FOR

Mechanical engineers, design engineers, and students involved in shaft design and fatigue analysis will benefit from this discussion, particularly those focused on coaxial shaft configurations and fatigue criteria.

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Part of my design project requires that I design two coaxial output shafts. I've gone through and calculated the inner shaft based on deflection and Goodman fatigue criterion. The problem now is this: the other output shaft must be a hollow shaft that shares its axis with the interior shaft. All of the fatigue analysis I've done to estimate shaft sizing thus far is based on solid shaft design where solid dimension 'd' is the parameter being solved for. I can determine an approximate sizing based on bearing deflections but that's it for now. Any suggestions?

Thanks,
 
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There's not a whole lot of difference between the two cases. You have a cross sectional moment of inertia that drives your stresses in either case.

Have you had the opportunity to take a look at ASME B106.1M, Design of Transmission Shafting? In it there is a specified approach that uses past testing to provide an approach that takes into account both alternating bending moments and torsional moments.
 
I think I am going to chase down the derivation of the goodman equation and find where they insert the diameter cross section and then plug in my hollow shaft cross sectional area and find it that way. thanks
 
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