Discover How to Select Internal Forces for Free Body Diagrams

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Homework Help Overview

The discussion revolves around selecting internal forces for free body diagrams in the context of structural analysis. Participants are examining how to determine which forces to include when calculating internal forces at specific points in a structure.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the criteria for including external forces in free body diagrams, particularly in relation to distributed loads and their effects on specific points. Questions arise regarding the significance of forces that are not directly acting on the point of interest.

Discussion Status

The conversation is ongoing, with participants questioning the relevance of certain distributed loads and how they influence the internal forces at points D and E. Some guidance has been provided regarding the treatment of external forces, but multiple interpretations are still being explored.

Contextual Notes

There is a focus on the placement of points D and E relative to external loads, with participants discussing the implications of these placements on the free body diagrams. The discussion reflects a need for clarity on how to handle loads that are not directly adjacent to the points of interest.

princejan7
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Homework Statement



http://postimg.org/image/4lvunjeoz/

Solution: http://postimg.org/image/v1d7gilef/

When you have to calculate the internal forces at a point, how do you decide which forces are included in the free body diagram?

For D, why isn't the rectangular bit of the distributed load included? Doesn't it affect D?
 
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princejan7 said:

Homework Statement



http://postimg.org/image/4lvunjeoz/

Solution: http://postimg.org/image/v1d7gilef/

When you have to calculate the internal forces at a point, how do you decide which forces are included in the free body diagram?
Before you start addressing the internal forces, you should first have determined the unknown external forces and moments (if possible). Then, you draw a free body diagram that includes your cross section of interest. You try to choose a free body that includes as few of the external forces and moments as possible; this reduces the amount of work you need to do, but doesn't affect the answer.
For D, why isn't the rectangular bit of the distributed load included? Doesn't it affect D?
Yes. But its effect is captured by the other external forces that are actually acting on the free body you have chosen.
 
Chestermiller said:
Yes. But its effect is captured by the other external forces that are actually acting on the free body you have chosen.

But the question says that D is located to the left of point B. Wouldn't that mean the rectangular distributed load is also actually acting on the body at D?
 
princejan7 said:
But the question says that D is located to the left of point B. Wouldn't that mean the rectangular distributed load is also actually acting on the body at D?
Only the insignificant part between B and D.
 
Chestermiller said:
Only the insignificant part between B and D.

oh ok, but then what about the diagram for point E?
The triangular distributed load is included in the diagram even though the important part is quite a bit to the left?
 
princejan7 said:
oh ok, but then what about the diagram for point E?
The triangular distributed load is included in the diagram even though the important part is quite a bit to the left?
That's OK. Your free body diagram does not include the part to the left. And, as I said earlier, the effect of the rest of the triangular distributed load is accounted for by the reactions at B and A. To prove this to yourself, use the free body to the left of E instead of the one to the right of E, and see if you get a different result for the internal forces and moments at E.
 

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