Displacement in external redundant truss

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Discussion Overview

The discussion revolves around the determination of redundant forces in an external redundant truss, specifically focusing on the choice of which support force at pinned E to consider as redundant. The context includes aspects of structural stability and the application of virtual forces to analyze member forces within the truss.

Discussion Character

  • Homework-related
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests applying the vertical support force at pinned E as the redundant force but encounters difficulties in balancing forces at joint C.
  • Another participant argues against taking the vertical force at E as redundant, stating it leads to instability due to the necessity of a vertical force to balance moments about point A.
  • There is a proposal that the horizontal support force at E should be considered as the redundant force instead, as it may maintain stability.
  • Further contributions affirm the choice of the horizontal support force at E as redundant, noting the symmetry in loading and truss geometry, which implies equal reactions at the supports.

Areas of Agreement / Disagreement

Participants generally agree that the vertical force at E cannot be taken as redundant due to stability concerns. However, there is a lack of consensus on the implications of this choice and the overall approach to solving the problem.

Contextual Notes

The discussion highlights the importance of understanding the stability conditions of the truss and the implications of selecting different redundant forces. There are unresolved aspects regarding the application of virtual forces and the specific calculations at joint C.

Who May Find This Useful

This discussion may be useful for students and practitioners in structural engineering or mechanics, particularly those dealing with truss analysis and redundancy in structural systems.

fonseh
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Homework Statement


In this question , the author doesn't stated which direction ( either horozintal support of the pinned E or the vertical support force at pinned E to be selected as redundant ) . So , I tried this problem by applying the vertical force support at E as redundant .

Homework Equations

The Attempt at a Solution


I have done the step 1 , which is to find all the member force in the truss . ( The working is not shown here) .

However , I am having problem in part 2 , which is to find the member force by applying 1 unit load (virtual foce) ... By doing so , all the external force is removed and the new member forces are to be found .

I used ALTERNATIVE method to find the forces in the member . However , i can't balance the forces at joint C . What's wrong with my working ?
 

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You cannot take the vertical force at E as the redundant force, because then the truss becomes unstable, since there must be a vertical force at E to balance moments about A.
 
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PhanthomJay said:
You cannot take the vertical force at E as the redundant force, because then the truss becomes unstable, since there must be a vertical force at E to balance moments about A.
So , the only way is to take the horizontal support force at E as redundant ?
 
fonseh said:
So , the only way is to take the horizontal support force at E as redundant ?
That is correct. It is also worthy to note that the loading and truss geometry are both very symmetrical, so one would expect equal vertical reactions at each support, and equal but opposite horizontal reactions, if non zero, at the supports.
 
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PhanthomJay said:
That is correct. It is also worthy to note that the loading and truss geometry are both very symmetrical, so one would expect equal vertical reactions at each support, and equal but opposite horizontal reactions, if non zero, at the supports.
Thanks for your effort . Btw , can you help me with this question ?
https://www.physicsforums.com/threads/moments-sign-convention-in-beam.910959/
 

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