Understanding Moment Direction: Analysis and Solution for Homework

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SUMMARY

The discussion centers on the analysis of a moment diagram for a beam subjected to a moment of +400 Nm at point B and a reactive moment of -400 Nm at point C. The moment at B is a couple that causes the beam to concave downwards, while the moment at C is necessary to maintain static equilibrium. The participants clarify that the moment diagram does not reflect a continuous change from +400 Nm to 0 Nm but rather indicates a constant moment of +400 Nm from B to C, with a reactive moment at C to ensure the net moment is zero.

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  • Understanding of static equilibrium principles in mechanics
  • Knowledge of bending moment diagrams and their construction
  • Familiarity with the concept of couples in mechanics
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  • #31
chetzread said:
Why the moment is restricted about A, but not at C?

I don't know what you mean by "restricted about A, but not at C".

The beam is fixed at C, so a reactive moment is supported there. The beam is free at A.
 
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  • #32
SteamKing said:
I don't know what you mean by "restricted about A, but not at C".

The beam is fixed at C, so a reactive moment is supported there. The beam is free at A.

https://www.physicsforums.com/threads/moment-diagram.878559/#post-5520349
I am sorry for the previous post...
I mean why in this thread, the moment of the beam is not restricted about B , but is restricted about A ?
I
 
  • #33
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  • #34
SteamKing said:
I still don't know what you mean by the moment being "restricted" about A. There is no moment about A.
As you can see, the moment 400Nm graph is drawn from A to the point where moment 400Nm act, so there's moment restriction about point A, right? Why there's no moment restriction about point B?
https://www.physicsforums.com/threads/moment-diagram.878559/#post-5520349
 
  • #35
chetzread said:
As you can see, the moment 400Nm graph is drawn from A to the point where moment 400Nm act, so there's moment restriction about point A, right? Why there's no moment restriction about point B?
https://www.physicsforums.com/threads/moment-diagram.878559/#post-5520349
There is no moment applied at point A, so there won't be one showing up on any moment diagram.

There is a moment applied at point B, which is why the moment diagram starts there.
 
  • #36
SteamKing said:
There is no moment applied at point A, so there won't be one showing up on any moment diagram.

There is a moment applied at point B, which is why the moment diagram starts there.
Sorry, I think u misunderstood me... I refer to the thread below...
https://www.physicsforums.com/threads/moment-diagram.878559/#post-5520349
why the moment of the beam is not restricted about B , but is restricted about A ?
 
  • #37
SteamKing said:
If you look at the moment plot at C, it clearly indicates that the reactive moment there is -400 N-m, which, when added to the moment at B of +400 N-m, equals zero net moment.
Do you mean that since the moment at B is positive 400Nm, so the moment -400Nm must be restricted at any points along beam BC to keep it in equilibrium?
Your interpretation of what the plot would look like would require a net change in moment of -800 N-m, which is not supported by the loading of the beam.
 
  • #38
  • #39
SteamKing said:
It's not clear what you mean here.

The moment diagram doesn't plot discrete values of BM in isolation, like you apparently want to do.

At point B, the moment goes from 0 to +400 N-m, which is why there is a jump at this location.

The moment remains constant at +400 N-m from point B to point C, where the reactive moment of -400 N-m is added to the +400 N-m, to bring the net moment back to zero.

You should review how shear force and bending moment values are plotted for regular beam problems.
it it because of the reaction moment and moment causes the part of beam to become concave downwards, so bending moment is negative?
 
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