Bending around sheave or pulley

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    Bending Pulley
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Discussion Overview

The discussion revolves around calculating the tension required to bend large insulated cables around a pulley, specifically focusing on the mechanics of bending solid aluminum or copper conductors with varying insulation thicknesses. Participants explore the theoretical and practical aspects of this problem, considering both static and dynamic forces involved in the bending process.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks to derive a formula to calculate the tension needed to bend insulated cables around a pulley, specifying the dimensions and materials involved.
  • Another participant points out that tension acts axially on the wire and that a transverse force is necessary to achieve bending around a curve.
  • A participant suggests visualizing the problem with a weight attached to the cable to understand the forces required for bending.
  • Discussion includes the need for a sideways force to initiate bending, which may involve moment calculations rather than tension alone.
  • References to external documents and equations are provided to aid in understanding the bending mechanics, though concerns are raised about their applicability to rod and pipe calculations.
  • One participant expresses uncertainty about adapting existing calculations for sheet metal to the context of rod and pipe bending, seeking more complex calculations for bending moments.
  • A suggestion is made to consider torsional spring calculations, although it is noted that the behavior of the wire may differ due to potential plastic deformation.

Areas of Agreement / Disagreement

Participants generally agree on the need for a transverse force to achieve bending, but there is no consensus on the specific calculations or methods to apply for this scenario. Multiple competing views and approaches remain present throughout the discussion.

Contextual Notes

Limitations include the potential inapplicability of certain references to the specific context of bending insulated cables, as well as unresolved aspects of moment calculations and the effects of plastic deformation on the wire.

DeereAdam
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I need to calculate how much tension it would require to bend large insulated cable of various sizes around a pulley. The Conductor would be made of aluminum or copper and solid. The Insulation would be of various thicknesses depending on the cable. I was looking at breeaking this problem down to calculations for a rod and calculations for a pipe. I hope to arrive at a formula that I can plug in the diameter of the conductor and wall thickness of the insulation.

The pulley diameter is 3.43 meters
The Cable will bend 180 degrees around the pulley
This can be a static calculation... One end of cable may be assumed as fixed and the other being pulled until the cable forms snugly around the pulley.

Thanks for any help.
 
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Hello Adam, welcome to Physics Forums.

Perhaps you would like to elaborate on your question and the mechanical arrangements.
Tension straightens wires, it doesn't bend them.
Tension as a force is axial to the wire, you need a transverse force to bend it round a curve of any description.
 
I agree with the description of applied force... I hope this will help clarify what I am trying to calculate. This could be thought of upside down with a weight attached to one end of the cable... how much weight applied in a straight direction to bend the cable around the pulley. The Pulley is 3.42m diameter. Thanks again -Adam-
 

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  • Line Tension to Bend Solid Rod.png
    Line Tension to Bend Solid Rod.png
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But you have shown the stiff wire already bent.

Assuming it is straight up and down on the left hand side to start with you need a sideways force, initially acting left to right.

Since this force needs to be tangential it is usually provided by a rotating arm or crank.
You would then be into a moment calculation, not a tension one.


Look at pipe bending apparatus in a plumbing catalog.
 
I think you understand what I am trying to achieve... I understand what you are saying about the actual bending of the cable... How would you go about calculating this... if it is possible... Is there an accurate way to calculate this? However this is figured it must be converted back to a tension value because of how this system works... Thanks for your help -Adam-
 
This Calculation looks promising but it does not calculate the moment... and it is calculating for sheet metal... trying to tie this back to rod and pipe calculations and make it correct? I do like the simplicity but I am not sure if this could be changed to calculate for rod or pipe. I do appreciate the reference tough and will study it more. I am sure that most of the people on this form have more background in these calculations. I must make sure that this is calculated correctly. Are there more complex calculations for bending moments and can those be broken up over a radius? Thanks again for your help. -Adam-
 
Maybe you can use calculator this for a torsional spring to help you out.

http://www.tribology-abc.com/calculators/t14_4.htm

Only problem is that your wire would not act as a spring but would most likely have some plastic deformation around the sheave.
 

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