Free Body Diagram Help: Homework Equations and Attempts

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
3 replies · 3K views
USN2ENG
Messages
107
Reaction score
0

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

  • Diagram.jpg
    Diagram.jpg
    10.4 KB · Views: 609
  • FBD.jpg
    FBD.jpg
    7.9 KB · Views: 608
Physics news on Phys.org
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.