What is the correct FBD and equilibrium equations for a truss analysis?

In summary, the conversation is about a person asking for help with their truss analysis homework. They provide a figure, equations, and their attempt at a solution. Another person points out a typo in the figure and confirms that the FBD is correct. The first person then asks for help finding their error in the truss analysis. They later update that they have fixed their error and everything is working correctly.
  • #1
jegues
1,097
3

Homework Statement



See figure

Homework Equations



[tex] \sum F_{x} = 0 [/tex]
[tex] \sum F_{y} = 0 [/tex]
[tex] \sum M = 0 [/tex]

The Attempt at a Solution



See other figure.

is the FBD for my truss correct?
 

Attachments

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  • TrussQ4.16attempt.JPG
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  • #2
jegues said:

Homework Statement



See figure

Homework Equations



[tex] \sum F_{x} = 0 [/tex]
[tex] \sum F_{y} = 0 [/tex]
[tex] \sum M = 0 [/tex]

The Attempt at a Solution



See other figure.

is the FBD for my truss correct?
Except for the typo error for the load applied at C (should be 4.5, not 4), your FBD is excellent, nice work.
 
  • #3
Now that I'm sure my FBD diagram and equilibrium equations are correct, I moved onto the actual truss analysis and I'm still not obtaining an equilibrium at all the joints within the truss.

Can anyone help me find my error?

This has been giving me quite the headache!

Thanks again.

EDIT: Fixed my error, got everything to work out ;)
 

Attachments

  • TrussQ4.16TrussAnalysis.JPG
    TrussQ4.16TrussAnalysis.JPG
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1. What is FBD Check?

FBD Check stands for Free Body Diagram Check and it is a tool used in structural analysis to ensure the validity of a structure's free body diagram.

2. How is FBD Check used in truss analysis?

In truss analysis, FBD Check is used to verify the equilibrium of forces acting on a truss structure. It helps to determine if the truss is stable and if the forces are correctly balanced.

3. What are the benefits of using FBD Check in truss analysis?

FBD Check helps to identify any errors or mistakes in the free body diagram of a truss structure. It also ensures the accuracy of the analysis and can prevent potential structural failures.

4. Can FBD Check be applied to other types of structures?

Yes, FBD Check can be used in any type of structure where the equilibrium of forces needs to be verified. It is commonly used in analyzing beams, frames, and other types of trusses.

5. Are there any limitations to using FBD Check in truss analysis?

The accuracy of FBD Check relies heavily on the accuracy of the initial assumptions and inputs. If these are not precise, the results of the FBD Check may not be accurate. It is also important to note that FBD Check does not take into account other factors such as material properties and other external forces.

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