Free Body Diagram Help: Homework Equations and Attempts

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SUMMARY

This discussion focuses on the application of Free Body Diagrams (FBD) in analyzing forces acting on a beam in static equilibrium. The key forces identified include Cable BC, a 500N force, and a 780N force. Participants emphasize the importance of including all external and internal forces acting on joints, specifically at points A and B. The use of the three equilibrium equations is essential for determining reaction forces, particularly noting that the reaction force at point C must align with the direction of cable BC.

PREREQUISITES
  • Understanding of Free Body Diagrams (FBD)
  • Knowledge of static equilibrium and reaction forces
  • Familiarity with vector decomposition of forces
  • Proficiency in applying equilibrium equations in mechanics
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  • Study the principles of static equilibrium in mechanics
  • Learn how to construct and analyze Free Body Diagrams (FBD)
  • Explore vector decomposition techniques for force analysis
  • Review examples of reaction forces in truss systems
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Students in engineering mechanics, physics students, and anyone involved in structural analysis or design who needs to understand the application of Free Body Diagrams and static equilibrium principles.

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Homework Statement



I feel that I am a bit fuzzy whether things are reaction forces. In the diagram I see there is a beam holding point B, and there are 3 forces: Cable BC, 500N, and 780N.

My professor wrote:
Ask yourself: is the beam holding the point from moving up or down, right or left? If so you will need to include the appropriate reaction forces in your FBD.

To me, it is, as the beam is not hinged. Unfortunately I am not quite sure how to handle how to label the reaction force. Any advice would be great!

Homework Equations


The Attempt at a Solution



My FBD is attached.
 

Attachments

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    Diagram.jpg
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  • FBD.jpg
    FBD.jpg
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At A, the reaction force is Upwards
 
When you draw a FBD of joint B, you must include ALL forces, both external and internal, acting on the joint. You neglected to include the force of the beam acting on the joint. You should also break down the applied external forces at B into their x and y components.

It is often best to find the reaction forces at A and C first, by using the 3 equilibrium equations and noting that the reaction force at C must be directed along the cable direction BC.
 
Endorser said:
At A, the reaction force is Upwards
I don't see any reference to the weight of the beam, so I assume it is negligible, in which case there cannot be any upward force at A, since this is a pure truss with axial tensile or compressive forces only, in the cable and beam.
 

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