Understanding Turnbuckle Rotation: Solving for Shortening in a Multi-Rod System

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Discussion Overview

The discussion revolves around a homework problem involving a multi-rod system and the effects of shortening one rod (rod EF) due to the rotation of a turnbuckle. Participants explore the implications of this shortening on the other rods (AB and CD) and the overall system's tension and equilibrium.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants express confusion about which rod the 1.5mm shortening applies to, with initial uncertainty regarding the problem statement.
  • One participant asserts that rod EF is the one being shortened, suggesting that this will affect the tension in rods AB and CD.
  • Another participant questions whether shortening rod EF necessarily means that rods AB and CD must extend, indicating a lack of clarity on the relationships between the rods.
  • Some participants agree that shortening rod EF will lead to the extension of rods AB and CD, emphasizing the need for the total length to remain constant.
  • There is a mention of the total length being confusing, with one participant suggesting to disregard it due to the overlapping nature of the rods.
  • A later reply provides a visualization approach, explaining that the rods are initially assembled without tension and that shortening rod EF requires the other rods to compensate for the change in length.
  • This participant notes that the shortening of 1.5mm is divided among the rods, leading to equations that must satisfy static equilibrium conditions.

Areas of Agreement / Disagreement

Participants generally express confusion about the relationships between the rods and the implications of shortening rod EF. While some agree on the effects of shortening rod EF, there remains uncertainty and differing interpretations regarding the total length and the behavior of the other rods.

Contextual Notes

There are unresolved assumptions regarding the initial conditions of the rods and how the shortening affects the overall system. The overlapping nature of the rods complicates the analysis, and the specific contributions of each rod to the total shortening remain unclear.

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Homework Statement



in this problem , it's not clear that whether the shortening of 1.5mm is for which rod , there are 3 rods in the diagram and forces applied at which part to cause the rotation ... ...

Homework Equations

The Attempt at a Solution


Can somenoe explain about it ? if the forces is applied at rod Ef , then rod EF will shorten , and both rod AB and rod CD will either undergo shortening and lengthening , right ? [/B]
 

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chetzread said:
in this problem , it's not clear that whether the shortening of 1.5mm is for which rod

The problem statement says..

Determine the forces in the rods if a turnbuckle on rod EF undergoes one full turn

So it's clear that rod EF is the one being shortened. This will change the tension in the other two rods.
 
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CWatters said:
The problem statement says..
So it's clear that rod EF is the one being shortened. This will change the tension in the other two rods.
Is it a must that when the rod EF is shorten, then the rod AB and CD will extend?? I am confused...
 
Yes. If you shorten EF then AB and CD must get longer/extend. The total length (vertical component of BF) remains constant.
 
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CWatters said:
Yes. If you shorten EF then AB and CD must get longer/extend. The total length (vertical component of BF) remains constant.
The 0.0015 is the total length? I m confused ...
 
Perhaps forget I mentioned the total length. You can't work it out because the rods "overlap".

I'm struggling to read the worked answer in the image. Can you post an enlargement?
 
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CWatters said:
Perhaps forget I mentioned the total length. You can't work it out because the rods "overlap".

I'm struggling to read the worked answer in the image. Can you post an enlargement?
 

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OK the way to visualise this is to imagine that the rods have been assembled with no tension to set the initial length. Then they are disconnected and the lower rod is shortened by 1.5mm (0.0015m). Then the rods are reconnected. That requires the combination of rods to be stretched 1.5mm.

There are two rods at the top and one at the bottom so the 1.5mm is divided unequally between the top rods and the bottom rod. That's why they have an equation/sum that adds up to 0.0015m.

They also have another equation that relates the tension in the top two rods to the bottom rod. That's arrived at by noting that the system is in static equilibrium so the net force on beam is zero.

Now they have two equations and two unknowns.
 

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