Drawing Free-Body Diagrams for Pin-Jointed Truss Structures

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Discussion Overview

The discussion revolves around how to draw free-body diagrams for a pin-jointed truss structure, focusing on the identification of reaction forces at supports and the implications for the members of the truss. Participants explore the conditions under which members can be considered two-force members and the necessary reaction forces to maintain equilibrium.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant expresses confusion about whether there are reaction forces in the Y-direction at supports A and E, questioning the implications for member AB being a two-force member.
  • Another participant suggests that there may only be a Y reaction force at point E, proposing that member EC is a three-force member.
  • A different participant argues that there must be a vertical reaction force to counteract a 10kN force, indicating that either A or E must provide a downward force. They conclude that if B provides no vertical force, then all vertical reaction must come from E, implying that AB is a two-force member.
  • One participant requests further hints to proceed with the problem, indicating ongoing uncertainty.
  • A later reply encourages the participant to draw free-body diagrams for each member based on the previous discussion.

Areas of Agreement / Disagreement

Participants express differing views on the presence and distribution of reaction forces at the supports, indicating that multiple competing views remain regarding the analysis of the truss structure.

Contextual Notes

Participants have not reached a consensus on the exact nature of the reaction forces or the implications for the members of the truss, leaving some assumptions and definitions unresolved.

Who May Find This Useful

Students or individuals studying structural analysis, particularly those interested in free-body diagrams and equilibrium conditions in truss structures.

high93
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I have attached the problem as an image. I am unsure of how to draw the free body diagram of the truss structure. Would there be reaction forces in the Y-direction at the supports A and E? if there are, then the member AB would not be a two-force member. If there isnt, then Fy of the whole system will not be zero. I'm really confused! Any help would be greatly appreciated..thank you.
 

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maybe there is only a Y reaction force at point E as member EC is a three force member?
 
Last edited:
You know there must be a vertical reaction force somewhere in the diagram to counter the 10kN force--if there weren't, the whole thing would slide up the wall. So A and/or E must be providing a downward force.

As for A, you know the torque is zero on the member (with the fulcrum defined as the wall point). Since the only possible source of torque is the pin at B, that means B must be providing 0 vertical force to AB. That means there's no vertical force to be countered by a reaction force at A, so therefore it must be 0. That means all the vertical reaction force must be coming from E.

That's basically just a more long-winded way of saying what you already said, which is that AB is a two-force member, so the reaction force at A must be directed along its length.
 
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thank you very much. However, I'm still unable to proceed... can anyone give me a hint for the next step to solve the problem please?
 
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Last edited:
Given the discussion above, you should be able to draw a free-body diagram for each member now. Have you been able to do that?
 

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