Calculating Stresses and Angular Velocity in Rotating Shrink Fit Connection

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SUMMARY

The discussion focuses on calculating radial and tangential stresses in a rotating shrink fit connection between a disc and a ring, specifically under an angular velocity denoted as w. The participants established four formulas to determine these stresses as functions of angular speed. Additionally, the conversation addresses the conditions under which the ring may separate from the disc, emphasizing the role of material properties, such as elasticity, and potential displacement at the inner edge of the ring.

PREREQUISITES
  • Understanding of radial and tangential stress calculations
  • Knowledge of angular velocity and its effects on rotating bodies
  • Familiarity with shrink fit connections in mechanical engineering
  • Basic principles of elasticity in materials, particularly metals like steel
NEXT STEPS
  • Research the principles of stress analysis in rotating systems
  • Study the mechanics of shrink fit connections in engineering applications
  • Learn about the criteria for separation in elastic materials under rotational stress
  • Explore advanced topics in material science related to elasticity and deformation
USEFUL FOR

Mechanical engineers, students studying rotational dynamics, and professionals involved in the design and analysis of rotating machinery will benefit from this discussion.

gsh84
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A ring is connected to disc with a shrink fit connection. The disc and ring rotate about an fixed axis with an angular velocity w. The first question of my assignment was to calculate the radial and tangential stress in the disc and ring. This is no problem, because you can calculate the stresses due to the shrink fit connection and due the rotation and add them to each other.
So, in the end you get 4 formulas (for the ring and the disc) which calculate the stresses (tangential and radial) as a function of the angular speed.

The second question is to determine the angular velocity when the ring separates from the disc. I am wondering in what kind of situation the ring separates from the disc because this is not clear to me. Is it because of a displacement of the inner edge of the ring for example?
 
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Will the ring stretch under the stress?
 
That information is not given, but the ring is made of an elastic material. It could be a ring of steel for example.
 

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