Calculating Moments Using the Method of Joints: A Tutorial

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Discussion Overview

The discussion revolves around the calculation of moments using the method of joints in a static equilibrium problem. Participants explore the application of free body diagrams (FBDs) and the relevance of specific forces in determining moments about points B and C. The conversation includes aspects of homework-related problem-solving and technical reasoning.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants question the validity of the author's approach to calculating moments about point B, specifically regarding the exclusion of forces Cx and Cy.
  • Others argue that only forces acting on the boom should be included in the FBD for that member, leading to the conclusion that Cx and Cy do not affect the moment about B.
  • There is a repeated inquiry into the definition of the "boom" and its role in the problem, with some participants seeking clarification on why certain points are included or excluded in calculations.
  • Some participants propose that the method used by the author is a quicker way to show that Ay equals zero, while others express confusion over why this method was chosen over their own calculations.
  • There are discussions about the implications of taking moments about different points and how it affects the equations derived from the problem.
  • Participants express uncertainty about the correctness of their own equations compared to the author's, with some suggesting that their approach yields different results.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to take moments about points B and C. Multiple competing views remain regarding the relevance of certain forces and the methods used to derive the equations.

Contextual Notes

There are unresolved questions about the assumptions made in the calculations, particularly concerning the definitions of the boom and the forces acting on it. The discussion highlights the complexity of static equilibrium problems and the various methods that can be employed to analyze them.

  • #31
billy_joule said:
It's right.
Your subsequent working must have had an error as your conclusion was incorrect.

Why not try again, be more careful with your algebra and see how far you get.I'm not sure what you mean by that.
If I consider the rod CB only, then my moment about B = Cy(8) =0... Then Cy =0... But in the author's working, the author found that Ay = 0
My answer is different with the authors ans
 
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  • #32
chetzread said:
If I consider the rod CB only, then my moment about B = Cy(8) =0... Then Cy =0... But in the author's working, the author found that Ay = 0
My answer is different with the authors ans
You forgot to include Cx.
 
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  • #33
billy_joule said:
You forgot to include Cx.
OK, I gt the answer... So for this type of problem which involve multiple force member, we should consider forces equilibrium in 1 force member only if we can't solve the forces using equilibrium at all 3 members ?
 
  • #34
I
chetzread said:
OK, I gt the answer... So for this type of problem which involve multiple force member, we should consider forces equilibrium in 1 force member only if we can't solve the forces using equilibrium at all 3 members ?
In this case we only consider moment about B in a rod only? If we consider moment about B in 2 rods, we can't solve the question?
 
  • #35
chetzread said:
OK, I gt the answer... So for this type of problem which involve multiple force member, we should consider forces equilibrium in 1 force member only if we can't solve the forces using equilibrium at all 3 members ?
I'm not sure if there's a hard and fast rule.
Seeing the quickest and easiest approach will come with practice.
This particular problem could be solved much faster with the method of joints.
 
  • #36
billy_joule said:
I'm not sure if there's a hard and fast rule.
Seeing the quickest and easiest approach will come with practice.
This particular problem could be solved much faster with the method of joints.
I am not concerned about the speed of solving the question...
So, if we can't solve the question by moment about B = Cy(0.8) +Ay(0.8)
+ Cx(0.6) = 0
We have to choose to consider moment about a point in 1 force member only?
 
  • #37
billy_joule said:
I'm not sure if there's a hard and fast rule.
Seeing the quickest and easiest approach will come with practice.
This particular problem could be solved much faster with the method of joints.
Can you show how do you solve the question by method of joints?
 
  • #38
chetzread said:
Can you show how do you solve the question by method of joints?
Best to wait until after you've learned the method in class.
 

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