Help with a statics problem finding free members and two force members

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Discussion Overview

The discussion revolves around a statics problem involving the identification of free members and two-force members in a structural system. Participants are exploring methods to analyze forces at specific points, particularly at point D, and the implications of two-force members on the overall equilibrium of the structure.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants suggest that the initial attempt at finding forces at point D appears correct but could benefit from better vector representation.
  • There is a discussion about the role of the horizontal force (2F) in maintaining pressure at point C, with some indicating that the two-member system behaves as a single solid part.
  • One participant expresses difficulty in understanding the concept of two-force members and requests further elaboration on the analysis process.
  • Participants recommend creating free body diagrams for each part of the structure and representing all external forces and reactions necessary for static equilibrium.
  • There is a suggestion to calculate the magnitude of the force at point D first, as it is crucial for determining moments around point B.

Areas of Agreement / Disagreement

Participants generally agree on the need for free body diagrams and the importance of calculating forces at specific points, but there remains uncertainty regarding the application of these concepts, particularly in relation to two-force members.

Contextual Notes

Participants have not fully resolved the steps needed to analyze the forces and moments, and there are indications of missing assumptions or definitions related to the two-force member concept.

Zulliz
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Homework Statement
So ive gotten the problem i have to solve, and for some reason this 2-member forces and dividing the frame into members simply does not click with my brain, it should be so simple, yet i cannot get it right.

Ive attatched a picture of the problem as well as my intended equation for moment around point A, can you guys tell me if im on the right track?

And even better can you help me find the forces applied in A, B, C and D? Im completely stuck, for some reason my brain cannot comprehend this 2 force member stuff and i dont know why…
Relevant Equations
SUMof moments in clockwise direction around A = 0
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Welcome, @Zulliz !

Your first attempt seems to be correct, but representing the vector F at D would be better.

The horizontal 2F keeps pressure on point C, and the 2-member acts like one solid part.
 
Lnewqban said:
Welcome, @Zulliz !

Your first attempt seems to be correct, but representing the vector F at D would be better.

The horizontal 2F keeps pressure on point C, and the 2-member acts like one solid part.
But how would i go about it then? Can you elaborate? As I tried to explain my brain is simply shutting down on the two-force members and im having such a hard time understanding how to do them unfortunately.

Would i do sum of moments around B to find the force F pressing up at point C using the 2F x a - 2a x C?
 
Last edited:
Zulliz said:
But how would i go about it then? Can you elaborate? As I tried to explain my brain is simply shutting down on the two-force members and im having such a hard time understanding how to do them unfortunately.
If the problem requires you to analyze each part separately, do a free body diagram of each.
Represent the external given forces first.
Then, represent all the reactions (forces and torques) that the part would need to have acting on it in order to remain in static equilibrium (not moving).

Zulliz said:
Would i do sum of moments around B to find the force F pressing up at point C using the 2F x a - 2a x C?
You will need to calculate the magnitude of the force acting at D first, since that moment matters.
 
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Lnewqban said:
If the problem requires you to analyze each part separately, do a free body diagram of each.
Represent the external given forces first.
Then, represent all the reactions (forces and torques) that the part would need to have acting on it in order to remain in static equilibrium (not moving).


You will need to calculate the magnitude of the force acting at D first, since that moment matters.
So something like this?
 

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