Analyzing Torsion in Thin-Walled Rings: A Rigid Body Dynamics Approach

In summary, the conversation discusses suggestions on how to approach torsion of a thin-walled ring/oval and clarifies that the torque is a moment trying to fold the ring in half. The possibility of treating it as a varying cross-section and integrating is mentioned, but it is noted that the typical formula for circular cross-sections would not apply. The conversation also raises the question of what the rest of the boundary conditions are and whether the problem can be solved as a rigid body dynamics problem.
  • #1
dav2008
Gold Member
589
1
Hello,

Does anyone have any suggestions on how to approach torsion of a thin-walled thin ring/oval?

so if this is a top view of the ring: O then the torque would be applied with the torque vector pointing as O--> (ring is fixed at the opposite end).
 
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  • #2
I guess one thought is to treat it as a varying cross-section and integrate, but it's not a circular cross-section so the typical Tr/J formula wouldn't apply.
 
  • #3
So the torque is really a moment that is trying to "fold" the o-ring in half?

What are the rest of the boundary conditions?
 
  • #4
Last edited by a moderator:
  • #5
So, what do you want to know? Can your question be answered as a rigid body dynamics problem?
 

Related to Analyzing Torsion in Thin-Walled Rings: A Rigid Body Dynamics Approach

1. What is in-plane torsion of a ring?

In-plane torsion of a ring is a type of mechanical stress that occurs when a circular or annular object, such as a ring or tube, is twisted along its central axis. This results in a shear stress on the cross-section of the object.

2. What causes in-plane torsion of a ring?

In-plane torsion of a ring can be caused by external forces, such as torque or twisting moments applied to the object, or by internal forces, such as temperature changes or material properties.

3. How is in-plane torsion of a ring measured?

In-plane torsion of a ring is typically measured using a torsion testing machine, which applies a torque to the object and measures the resulting deformation. The amount of torque required to cause a certain amount of rotation is used to calculate the torsional modulus, a measure of the material's resistance to torsion.

4. What are the effects of in-plane torsion on a ring?

In-plane torsion can cause the ring to deform, resulting in changes in its shape and dimensions. It can also lead to material failure, such as cracking or breaking, if the stress exceeds the material's strength.

5. How is in-plane torsion of a ring used in engineering?

In-plane torsion of a ring is an important concept in engineering, particularly in the design of structures and machines that experience twisting forces. Understanding the effects of torsion can help engineers select appropriate materials and design structures that can withstand these forces without failure.

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