Statics free body diagram concept question

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Discussion Overview

The discussion revolves around the interpretation of free body diagrams in the context of statics, specifically regarding the forces acting on different members of a structure. Participants are examining the relationships between tension and compression in the members based on a provided diagram.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the forces acting on bars BD and CE, questioning the explanation provided in the textbook regarding the direction of forces and the state of tension and compression.
  • Another participant clarifies that the horizontal member applies a downward force on member BD, which results in BD being in compression, while BD exerts an upward force on the horizontal member.
  • A later reply confirms that the free body diagram in question represents the forces acting on bar ABC, not member BD, which helps clarify the confusion regarding the displayed forces.

Areas of Agreement / Disagreement

Participants appear to reach a mutual understanding regarding the interpretation of the free body diagram, although initial confusion about the forces and their directions was present. The discussion does not indicate any unresolved disagreements.

Contextual Notes

The discussion highlights the importance of correctly identifying which member a free body diagram represents, as this affects the understanding of forces acting on that member. There may be assumptions about the direction of forces that are not explicitly stated.

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Homework Statement


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Homework Equations





The Attempt at a Solution


In the explanation attachment, I don't get the last paragraph "Note that force Fce acts downward on bar...compression."

Since from the figure Fce is pointing down, and Fbd is pointing up, shouldn't bar BD be in tension and bar CE in compression? I know intuitively just by looking at the figure, yes, obviously BD is in compression and CE is in tension, but I'm confused by the free body diagram the book draws and its subsequent explanation. I must be missing some concept here. Thanks.
 

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The horizontal member pushes down on member BD, placing it in compression. In turn, member BD pushes up on the horizontal member (equal and opposite). Thus, FBD points up in the bottom picture, which is a free body diagram of the horizontal member. A free body diagram of member BD will have an force pointing down at the top and a force pointing up at the bottom (ground reaction). That's how free body diagrams work.
 
Last edited:
ah so the figure is a free body diagram of the *bar ABC* and not member BD, so it only displays the forces relative to how they effect ABC? Thanks a lot.
 
Correct.
 

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