Solve Force & Moment Homework: Why Don't Consider P at C?

  • Thread starter Thread starter yecko
  • Start date Start date
  • Tags Tags
    Force Moment
Click For Summary
SUMMARY

The discussion addresses the treatment of force P at joint C in the context of solving force and moment homework problems. It clarifies that force P should not be considered for both bodies CD and AC simultaneously, as this would incorrectly double the force at that joint. Instead, the force can be distributed between the two bodies, but the overall equilibrium will remain unchanged. The key takeaway is that the net force at joint C must be correctly assigned to avoid miscalculating the forces acting on the bodies.

PREREQUISITES
  • Understanding of static equilibrium principles, specifically the equations for sum of forces and moments.
  • Familiarity with joint and body force analysis in structural mechanics.
  • Knowledge of how to distribute forces between interconnected bodies.
  • Basic proficiency in solving mechanics problems involving forces and moments.
NEXT STEPS
  • Study the principles of static equilibrium in greater detail, focusing on the sum of forces and moments.
  • Learn about force distribution techniques in structural analysis, particularly in truss systems.
  • Explore examples of joint force analysis in mechanical systems to reinforce understanding.
  • Review common mistakes in force and moment calculations to avoid errors in future problems.
USEFUL FOR

Students studying mechanics, particularly those tackling problems related to static equilibrium, structural analysis, and force distribution in engineering contexts.

yecko
Gold Member
Messages
275
Reaction score
15

Homework Statement


螢幕快照 2018-02-12 下午6.14.17.png


Homework Equations


Sum of force = 0 / Sum of moment = 0

The Attempt at a Solution


IMG_5986.JPG


Why don't the solution consider force P at join C for body CD?
And it considered both force P and reaction force C at join C for body AC... So force C doesn't seems to be the net force at point C...
The written one is my attempt, just for reference.
Thanks for any reply!
 

Attachments

  • IMG_5986.JPG
    IMG_5986.JPG
    62.7 KB · Views: 604
  • 螢幕快照 2018-02-12 下午6.14.17.png
    螢幕快照 2018-02-12 下午6.14.17.png
    17.9 KB · Views: 724
Physics news on Phys.org
You need to choose which body the force at joint C acts on. It does not matter what you choose, the answer will be the same. The only thing that will change is the force between CD and AC. In fact, you could distribute the force P at C in any way you would like between the bodies. The final answer will not depend on this - only the force between CD and AC.

Note that you cannot include a force P for both CD and AC. This would make the total force on AC+CD be equal to 2P at that point and that is not what the problem asks you for.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
Replies
1
Views
6K
  • · Replies 42 ·
2
Replies
42
Views
4K
Replies
8
Views
1K
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 11 ·
Replies
11
Views
2K