Method of joints for bridge truss

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SUMMARY

The discussion focuses on calculating support reactions for a bridge truss with a load of 12.5 kip at the center. Participants clarify that the structure includes rollers at points A, C, and F, and a hinge at D. The issue arises when attempting to sum moments about point D, leading to confusion as forces cancel out. It is concluded that the structure is statically indeterminate due to having four support points but only two equations of statics available for analysis.

PREREQUISITES
  • Understanding of static equilibrium principles in structural analysis
  • Knowledge of support types: rollers and hinges
  • Familiarity with calculating moments and forces in two dimensions
  • Basic concepts of truss design and load distribution
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  • Learn about the method of joints in truss analysis
  • Explore advanced techniques for calculating support reactions
  • Review examples of bridge truss designs and their load handling capabilities
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Civil engineers, structural analysts, and students studying mechanics of materials or structural engineering who are involved in truss design and analysis.

Comfy
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Homework Statement


Calculate the forces for each member.

Homework Equations



Sum of forces in x=0
Sum of forces in y=0
Sumof moments about D=0

The Attempt at a Solution


Work is on attached image of problem. I'm having trouble solving for support reactions. At D there is [/B]
a hinge. At A, C, and Fthere is a roller. I know that the hinge provides a horizontal and vertical reaction force where the rollers only provide a vertical reaction force. I know I can't sum the moments about a roller and I'm don't think I can sum the moments about the hinge (did this anyways as I am stuck). So how can I solve these support reactions?
 

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Comfy said:

Homework Statement


Calculate the forces for each member.

Homework Equations



Sum of forces in x=0
Sum of forces in y=0
Sumof moments about D=0

The Attempt at a Solution


Work is on attached image of problem. I'm having trouble solving for support reactions. At D there is [/B]
a hinge. At A, C, and Fthere is a roller. I know that the hinge provides a horizontal and vertical reaction force where the rollers only provide a vertical reaction force. I know I can't sum the moments about a roller and I'm don't think I can sum the moments about the hinge (did this anyways as I am stuck). So how can I solve these support reactions?
You can sum moments about any convenient point. Just because a roller doesn't support a moment does not prevent this.

A structure in static equilibrium must have forces and moments sum to zero, regardless of reference
 
That is the right thing to do right? I keep getting Fy and Cy to cancel out during my sum of the moments equation? So I have sum of moments about D to be 0=0?
 
Last edited:
Comfy said:
That is the right thing to do right? I keep getting Fy and Cy to cancel out during my sum of the moments equation?
It's not clear what you are talking about here. From the diagram, it looks like the supports are located at D and F.

The structure is symmetrical about the line BE. What do you think the reactions should be?
 
SteamKing said:
It's not clear what you are talking about here. From the diagram, it looks like the supports are located at D and F.

The structure is symmetrical about the line BE. What do you think the reactions should be?
There is a roller at A, C and F. There is a hinge at D.
 
Comfy said:
There is a roller at A, C and F. There is a hinge at D.
What's the purpose of the rollers at A and C? Your sketch is not clear on this.
 
SteamKing said:
What's the purpose of the rollers at A and C? Your sketch is not clear on this.
We are suppose to design a truss that can handle a load of 12.5 kip at the center of this bridge. There is a roller at the top left just under bridge, there is a roller at top right just under bridge, there is a roller on support underneath bottom right of bridge, and there is a hinge on support underneath bottom left of bridge.
 

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When I calculate support reactions for the truss I made with the 12.5 kip load in center I keep getting zero. That should not happen, unless I am mistaken.
 
Comfy said:
When I calculate support reactions for the truss I made with the 12.5 kip load in center I keep getting zero. That should not happen, unless I am mistaken.
If the rollers at A and C can support reactions at the cliffs, and the roller at F and the hinge at D also have support reactions, then your structure is no longer a simple truss, but a statically indeterminate structure with four points of support but only two equations of statics to work with.
 
  • #10
SteamKing said:
If the rollers at A and C can support reactions at the cliffs, and the roller at F and the hinge at D also have support reactions, then your structure is no longer a simple truss, but a statically indeterminate structure with four points of support but only two equations of statics to work with.
So what you are saying is that there should not be rollers on top of the cliffs? That drawing is from my teacher as a guideline to get us started and such.
 
  • #11
Comfy said:
So what you are saying is that there should not be rollers on top of the cliffs? That drawing is from my teacher as a guideline to get us started and such.
Well, I don't know all the details of this project.

I'm just saying that you can't analyze this structure as a simple truss when it isn't one. :frown:
 

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