The number of reactions in pinned support

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The discussion revolves around understanding the number of reactions in a structure with pinned and roller supports. Participants clarify that there are four pinned supports, with one being a roller support labeled 'B', which allows for horizontal movement. Point 'D' is identified as having no external support, thus resulting in no reaction forces there. The conversation emphasizes the importance of recognizing the differences between support types and the need for clear labeling in structural diagrams. Ultimately, the lack of external connections at point 'D' is confirmed as the reason for no reactions being considered there.
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Homework Statement


why the number of reaction is 3 ? How to know that ? shouldn't the total number of reaction = 8 ?

Homework Equations

The Attempt at a Solution


There are 4 pinned support in the structure . Each pinned support can support vertical and horizontal reactions...
 

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r is the number of external support reactions. Note that one is a pinned support and the other is a roller support.
 
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Where are the roller ? Can you point out ? ?? I didnt see any roller in the structure
 
Where are the roller ? Can you point out ? ?? I didnt see any roller in the structure
 
fonseh said:
Where are the roller ? Can you point out ? ?? I didnt see any roller in the structure
The roller is labelled 'B' , although I do agree that the difference is not that obvious...
 
It's sort of a different way of showing it, but a is a pinned support fixed to the floor, and B is the roller support allowed to slide or roll across the floor. Look carefully at each and compare the difference.
 
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PhanthomJay said:
It's sort of a different way of showing it, but a is a pinned support fixed to the floor, and B is the roller support allowed to slide or roll across the floor. Look carefully at each and compare the difference.
ok , i accept that the B is roller , then how about D ? Is it a roller or pinned support ? Why we don't have to consider the reactions at part D ?
 
fonseh said:
ok , i accept that the B is roller , then how about D ? Is it a roller or pinned support ? Why we don't have to consider the reactions at part D ?

A is a pin support, at D there is nothing supporting it (restricting it from moving) so there are no reaction forces.
 
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How
sakonpure6 said:
D there is nothing supporting it
How do we know that ? There's something connecting 2 force members together at D , right ? So , it must be pinned or roller or other supporting parts , right ? Why you said there's no support there ?
 
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fonseh said:
How

How do we know that ? There's something connecting 2 force members together at D , right ? So , it must be pinned or roller or other supporting parts , right ? Why you said there's no support there ?

By support, I mean fixed to a medium like Earth. Here, the "cap" on point D is just to connect the truss members together. On a free body diagram, there won't be any external support reactions
 
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  • #11
sakonpure6 said:
"cap" on point D
What do you mean ?
 
  • #13
sakonpure6 said:
Basically a piece of metal is soldered to to help connect members AD and CD
ok , understand . But , how do you know that ? It's not stated in the question . And the author also doesn't stated that the B is a roller , how do we know that ?
 
  • #14
fonseh said:
ok , understand . But , how do you know that ? It's not stated in the question . And the author also doesn't stated that the B is a roller , how do we know that ?

Again , there is nothing externally connected at point D , so no external reaction forces

Usually, the author should state what is a pin/roller support...but it comes with practice.
 
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