Determining Force and Directions on Truss with Pulley

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    Force Pulley Truss
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Discussion Overview

The discussion revolves around determining the forces and directions acting on a truss system that includes pulleys. Participants explore methods for calculating forces at specific points, the implications of pulley mechanics, and the overall load distribution within the truss structure.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about the correct application of forces involving a pulley and mentions that all calculated forces are in tension, which seems incorrect.
  • Another participant suggests treating both pulleys as one and states that the tension in the cable is uniform throughout.
  • There is a question regarding whether the 2000 kg weight should be considered as mass or force, which impacts the tension calculations.
  • A participant proposes that links 4 and 5 must be in compression, transferring loads down to node C, while link 1 is also in compression and link 2 is under tension from pivot B.
  • One participant asks how to treat the pulley as one and whether the cable needs to be applied multiple times to the links.
  • Another participant advises using free body diagrams (FBD) for each pulley to understand the forces acting on the links and suggests treating the cable in equilibrium.
  • Lastly, a participant mentions that triangle CDE loads node C with a specific force and recommends calculating moments about pivots A and B to visualize the forces on each link.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the best approach to analyze the forces in the truss system, with multiple competing views on how to treat the pulleys and the implications for tension and compression in the links.

Contextual Notes

There are unresolved questions regarding the definitions of mass and force in the context of the 2000 kg weight, as well as the assumptions made about the uniformity of tension in the cable and the treatment of the pulleys.

trusshelp148
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Homework Statement
I am struggling to figure out if I did this problem correctly. I am supposed to determine the forces acting on all of the links, as well as whether they are in tension or compression. There is an image included below.
Relevant Equations
∑Fx=0
∑Fy=0
∑M=0
So far I have used methods of joints to determine the forces at point E, D, and C. However, there is also a pulley attached to point D and E which I included in the sum of forces, but I'm not sure if that's the correct way to apply them. Every force I've calculated so far has also been in tension, which does not seem right. I'm also unsure of how to calculate the reactions at A and B with the pulley involved. Any help would be much appreciated.
 

Attachments

  • diagram.png
    diagram.png
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  • Point E.png
    Point E.png
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  • Point D.png
    Point D.png
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  • Point C2.png
    Point C2.png
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Welcome, @trusshelp148 !

My old eyes can barely distinguish anything in that image that you have included.
Could you improve it?
 
Lnewqban said:
Welcome, @trusshelp148 !

My old eyes can barely distinguish anything in that image that you have included.
Could you improve it?
Thank you! And of course, sorry for the blurry view. I've attached some more photos that I hope are more viewable.
 
Thank you! :smile:
I would treat both pulleys as one.
The tension in the cable is the same everywhere.
Are those 2000 kg-mass or kg-force?
That weight is your tension, pushing D and E down and compressing link 6 from both ends.

Please, see:
https://www.ecourses.ou.edu/cgi-bin/ebook.cgi?topic=st&chap_sec=03.2&page=case_sol

Links 4 and 5 must be in compression, transferring that load down to node C, link 1 and pivot A.
Link 1 must be in compression, while ling 2 is pulling hard from pivot B.
Link 3 is not doing much, at least in theory.
 
Lnewqban said:
Thank you! :smile:
I would treat both pulleys as one.
The tension in the cable is the same everywhere.
Are those 2000 kg-mass or kg-force?
That weight is your tension, pushing D and E down and compressing link 6 from both ends.

Please, see:
https://www.ecourses.ou.edu/cgi-bin/ebook.cgi?topic=st&chap_sec=03.2&page=case_sol

Links 4 and 5 must be in compression, transferring that load down to node C, link 1 and pivot A.
Link 1 must be in compression, while ling 2 is pulling hard from pivot B.
Link 3 is not doing much, at least in theory.
It is 2000 kg-mass, yes. How would I go about treating the pulley as one? Since it's the same cable going through D and E, do I not need to apply it to the links multiple times?
 
trusshelp148 said:
It is 2000 kg-mass, yes. How would I go about treating the pulley as one? Since it's the same cable going through D and E, do I not need to apply it to the links multiple times?
Doing a FBD for each pulley, you will see that two compression forces go down the two links that meet at each.
Treat the cable as in equilibrium (Tin = Tout)
 
Lnewqban said:
Doing a FBD for each pulley, you will see that two compression forces go down the two links that meet at each.
Treat the cable as in equilibrium (Tin = Tout)
Thank you! I understand now.
 
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Triangle CDE is loading node C with (19.6 x 2) kN (straight down).
Calculating moments about pivots A, and then B, you can determine how much vertical and horizontal forces each is loaded with.
Only then, you will be able to visualize how each link is working.
 

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