Truss Free Body Diagram & initial conditions

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Discussion Overview

The discussion revolves around completing a free body diagram (FBD) for a truss structure with a weight attached to one of its nodes. Participants are addressing the initial conditions necessary for analyzing the forces and displacements in the truss, particularly focusing on nodes 3 and 5.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about indicating known and unknown forces and displacements at nodes 3 and 5, questioning how to represent them in the FBD.
  • Another participant emphasizes that displacements of internal nodes cannot be known until the analysis is complete, suggesting that the FBD should show applied loads and reaction forces at supports.
  • There is a discussion about the nature of the connections at nodes 1, 4, and 6, with one participant confirming they are pinned connections, which can only support forces.
  • Participants debate the appropriateness of showing forces and displacements for nodes 3 and 5, with one questioning the validity of stating that only one unknown can be represented.
  • Clarification is provided that the FBD should include the layout of the structure, applied forces, and reaction forces, while internal forces and moments will be determined post-analysis.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to represent the unknown forces and displacements at nodes 3 and 5 in the FBD. There are competing views on what should be included in the diagram and how to handle the unknowns.

Contextual Notes

There is uncertainty regarding the representation of unknown forces and displacements in the FBD, as well as the implications of having multiple unknowns in the analysis of the truss structure.

chuffy
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Homework Statement


Complete a free body diagram for the truss structure with a weight attached to node 2 (this is known as 151N)
photo (23).JPG


Homework Equations

The Attempt at a Solution


I have attached my Free Body Diagram
The diagram is to display what is know at the start of the problem before working out the forces, stresses etc..

Obv at the end of the problem everything is know but this is for initial conditions

The part of the diagram I'm unsure of is Node 5 & Node 3. This Is what I'm thinking

I need to indicate the known / unknown for force & displacement for the nodes.

U1(5)=? F1(5) = 0
U2(5)=? F2(5)=-151.9U1(3) =? F1(3)=0
U2(3)= ? F2(3)=0

Bit confused for each node Force (F) & Displacement (U) in the x,y axis
I know you can only have 1 unknown for each axis

Attached my drawing
thanks
 
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chuffy said:

Homework Statement


Complete a free body diagram for the truss structure with a weight attached to node 2 (this is known as 151N)View attachment 92737

Homework Equations

The Attempt at a Solution


I have attached my Free Body Diagram
The diagram is to display what is know at the start of the problem before working out the forces, stresses etc..

Obv at the end of the problem everything is know but this is for initial conditions

The part of the diagram I'm unsure of is Node 5 & Node 3. This Is what I'm thinking

I need to indicate the known / unknown for force & displacement for the nodes.

U1(5)=? F1(5) = 0
U2(5)=? F2(5)=-151.9U1(3) =? F1(3)=0
U2(3)= ? F2(3)=0

Bit confused for each node Force (F) & Displacement (U) in the x,y axis
I know you can only have 1 unknown for each axis

Attached my drawing
thanks
You can't know the displacements of the internal nodes of the structure until you've solved for them. Otherwise, analysis would be pointless.

As far as your free body diagram is concerned, you must show the loads applied to the structure and the reaction forces (and moments, if necessary) at the supports. Just copying a diagrammatic representation of the supports is insufficient. Are nodes 1, 4, and 6 supposed to be fixed, pinned, or what?
 
Thoes nodes are pinned yes

How can I show reaction forces when it hadn't been analysed yet?
 
chuffy said:
Thoes nodes are pinned yes

How can I show reaction forces when it hadn't been analysed yet?
You know that pinned connections can support only forces.

A fully fixed connection can support a force and a moment. You can't show any magnitudes yet, because these haven't been determined.

At this stage of the analysis, the free-body diagram is just a sketch to show what you're looking for, in terms of reactions at the supports.
 
So I shouldn't put anything sown for Nodes 5 & 3 because both force & displacements are unknown & stating this is not correct as you can only have one unknown?
 
chuffy said:
So I shouldn't put anything sown for Nodes 5 & 3 because both force & displacements are unknown & stating this is not correct as you can only have one unknown?
A free body diagram needs to show:
1. The layout of the structure.
2. The location of any applied forces and moments.
3. The location of the reacting forces and moments which make the structure a free body.

All of the internal forces, moments, deflections, etc., and the reactions to the applied loads are determined after the analysis is completed. The applied forces and moments are necessarily known beforehand, so their magnitudes may be shown on the FBD.

It's not clear what you mean by 'you can have only one unknown'. In this particular structure, you have many unknowns which must be obtained from the analysis.
 

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