Calculate The Moments about the Point A, [Guidance needed]

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SUMMARY

The forum discussion centers on calculating the moments about point A in a static equilibrium problem involving a rod with forces of 5 kips and 2 kips acting downward. Participants emphasize the importance of considering individual moments for each force and the reactions at points A and B. The calculations involve using the moment equation M = F x D, where the distances from point A to the forces are critical. The consensus is that the sum of the moments about point A must equal zero, and the reactions at A and B must be determined to solve the problem accurately.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with moment calculations (M = F x D)
  • Knowledge of reaction forces at supports (pinned and roller supports)
  • Ability to interpret force diagrams and distances in engineering contexts
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  • Calculate individual moments for each force acting on the rod about point A
  • Learn how to determine reaction forces at supports in static systems
  • Study examples of similar static equilibrium problems involving multiple forces
  • Explore the implications of non-equilibrium conditions in mechanical systems
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Engineering students, mechanical engineers, and anyone involved in structural analysis or statics who seeks to understand the calculation of moments in static equilibrium problems.

  • #31
stewartcs said:
The exercise was done in post #24...The last post just showed you how to pick the answers from it...

CS

What?, I though you were just showing mostly how to calculate B in there

my previous post you quoted is updated.
 
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  • #32
You said the reaction of AB= 7, so I tried it out and got this.

\Sigma{M_A} = 5(6) - 5.57(7) - 2(24) = 0
 
  • #33
Dellis said:
What?, I though you were just showing mostly how to calculate B in there

my previous post I updated it.

Your original question was to find the moments about point A right?

In order to find them, you needed to know the reaction at B. This was found in post #24.

While finding the reaction at B (in post #24) you had to sum the moments about A as shown below:

\Sigma{M_A} = 5(6) - 5.57(14) + 2(24) = 0

From that part (summing the moments about A), all you needed to do was pick out the moments and list them as I did in post #29.

Code:
5(6)      =  30 ft-lb
-5.57(14) = -78 ft-lb
2(24)     =  48 ft-lb
---------------------
Sum       =   0 ft-lb

Hence the moments about A are listed above. This is your answer based on the question you first asked in this thread.

Does this help?

CS
 
  • #34
Dellis said:
You said the reaction of AB= 7, so I tried it out and got this.

\Sigma{M_A} = 5(6) - 5.57(7) - 2(24) = 0

That does not sum to zero.

The negative sign in front of 2(24) should not be there based on your sign convention.

CS
 
  • #35
stewartcs said:
Your original question was to find the moments about point A right?

In order to find them, you needed to know the reaction at B. This was found in post #24.

While finding the reaction at B (in post #24) you had to sum the moments about A as shown below:

\Sigma{M_A} = 5(6) - 5.57(14) + 2(24) = 0

From that part (summing the moments about A), all you needed to do was pick out the moments and list them as I did in post #29.

Code:
5(6)      =  30 ft-lb
-5.57(14) = -78 ft-lb
2(24)     =  48 ft-lb
---------------------
Sum       =   0 ft-lb

Hence the moments about A are listed above. This is your answer based on the question you first asked in this thread.

Does this help?

CS
So that is the answer to the problem?, showing all the calculated moments, justthat?
 
  • #36
Dellis said:
So that is the answer to the problem?, showing all the calculated moments, you don't need to add them or anything like that?, just show that?

Based on the question you asked...yes. Those are the moments about A.

CS
 
  • #37
stewartcs said:
That does not sum to zero.

The negative sign in front of 2(24) should not be there based on your sign convention.

CS

Ok so this below and the "Moments about A" calculation equal to= 0 as stated above?, that is the answer to all of this?

\Sigma{M_A} = 5(6) - 5.57(7) + 2(24) = 72.43 kips/ft


5(6) = 30 ft-lb
-5.57(14) = -78 ft-lb
2(24) = 48 ft-lb
---------------------
Sum = 0 ft-lb
 
Last edited:
  • #38
Dellis said:
Ok so this is? and the "Moments about A" equal to 0 as stated above?, that is the answer to all of this?

\Sigma{M_A} = 5(6) - 5.57(7) + 2(24) = 72.43 kips/ft


5(6) = 30 ft-lb
-5.57(14) = -78 ft-lb
2(24) = 48 ft-lb
---------------------
Sum = 0 ft-lb

No.

-5.57(7) is not correct...it should be, as stated numerous times above, -5.57(14). The 14 comes from 6 + 8 which is the distance between point A and reaction B.

CS
 
  • #39
The answer is in post #34.

Answer: 30 ft-lb, -78 ft-lb, and 48 ft-lb

CS
 
  • #40
stewartcs said:
No.

-5.57(7) is not correct...it should be, as stated numerous times above, -5.57(14). The 14 comes from 6 + 8 which is the distance between point A and reaction B.

CS
Ok sorry about that\Sigma{M_A} = 5(6) - 5.57(14) + 2(24) = .025(6) = 30 ft-lb
-5.57(14) = -78 ft-lb
2(24) = 48 ft-lb
---------------------
Sum = 0 ft-lb
 
Last edited:
  • #41
stewartcs said:
The answer is in post #34.

Answer: 30 ft-lb, -78 ft-lb, and 48 ft-lb

CS

I know but I need to show how I got them though, I need to know how to properly display the answer to the whole exercise.

Does that calculation I did in my previous post even part of it?, I don't see it asking for that right. It is just asking to calculate the Moments about A, I can just show how I get those and that's it right?.
 
Last edited:
  • #42
Dellis said:
Ok sorry about that

\Sigma{M_A} = 5(6) - 5.57(14) + 2(24) = 72.43 kips/ft

I want you to multiply each term in this equation and right it down without adding them up and post the results.

CS
 
  • #43
Dellis said:
I know but I need to show how I got them though, I need to know how to properly display the answer to the whole exercise.

Does that calculation I did in my previous post even part of it?, I don't see it asking for that right, I can just show how I get those and that's it?.

Combine post #24 and #34 and that is the "work" that you should show.

CS
 
  • #44
Dellis said:
Ok sorry about that


\Sigma{M_A} = 5(6) - 5.57(14) + 2(24) = .02


5(6) = 30 ft-lb
-5.57(14) = -78 ft-lb
2(24) = 48 ft-lb
---------------------
Sum = 0 ft-lb

The 0.02 is due to rounding errors...it should be 0.

CS
 
  • #45
stewartcs said:
The 0.02 is due to rounding errors...it should be 0.

CS

Ah ok, so other then that(which I will fix below) that is the end of this exercise?

\Sigma{M_A} = 5(6) - 5.57(14) + 2(24) = 05(6) = 30 ft-lb
-5.57(14) = -78 ft-lb
2(24) = 48 ft-lb
---------------------
Sum = 0 ft-lb
 
  • #46
Dellis said:
Ah ok, so other then that(which I will fix below) that is the end of this exercise?




\Sigma{M_A} = 5(6) - 5.57(14) + 2(24) = 0


5(6) = 30 ft-lb
-5.57(14) = -78 ft-lb
2(24) = 48 ft-lb
---------------------
Sum = 0 ft-lb

Yes.

CS
 
  • #47
stewartcs said:
Yes.

CS

Thank you 1 million times, I really appreciate all the help and guidance.


As you seen on the forum I got a new thread, dealing with Free Body Diagram though and I got it done in a picture, just want to see what forces I missed, can you help me with that please?.
 

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