How to Obtain Reaction of Truss Pinned Connection A, B, and C?

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Discussion Overview

The discussion revolves around how to obtain the reactions at the pinned connections of a truss structure labeled A, B, and C. Participants explore various methods for analyzing the truss, including the Force-Method and nodal analysis, while addressing the challenges posed by the statically indeterminate nature of the system.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions the necessity of using the Force-Method for determining reactions and shares their initial calculations, which they suspect may be incorrect.
  • Another participant notes that the truss is externally statically indeterminate, indicating that there are more unknown reaction forces than available equations of equilibrium, thus requiring an indeterminate analysis.
  • A participant mentions studying the stiffness method and raises a question about determining the direction of forces (Near and Far) in the analysis, asking if these can be assumed or must be determined through other means.
  • Another contribution suggests that nodal analysis is appropriate, but acknowledges that computational methods may be necessary for complex trusses with many unknowns, and mentions the potential use of matrices in such cases.

Areas of Agreement / Disagreement

Participants generally agree that the truss is statically indeterminate and that various methods may be required to analyze it. However, there is no consensus on the best approach or the specifics of determining certain parameters, indicating multiple competing views remain.

Contextual Notes

Participants express uncertainty regarding the assumptions needed for determining force directions and the appropriateness of different analytical methods given the complexity of the truss.

DavidLee24
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Hey guys,

Sorry for this newbie question, I would to ask how to I obtain the reaction of the pinned connection of A, B, and C (See attachment)? Do I really have to use Force-Method? I actually attempted to use Moment at different places and do simultaneously (Idk if it's the right thing to do) but apparently I got Ay = 38.07kN, By = 37.39kN and Cy = 0, which I think it is wrong, can anybody help?

Thanks.

-DL
truss.PNG
 
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The truss is externally statically indeterminate with 6 unknown reaction forces and just 3 equations of equilibrium, so you have to resort to a painstaking indeterminate analysis using a method of your choice.
 
PhanthomJay said:
The truss is externally statically indeterminate with 6 unknown reaction forces and just 3 equations of equilibrium, so you have to resort to a painstaking indeterminate analysis using a method of your choice.

Thanks for the reply, Jay! I've been studying stiffness method to solve for this question. But I have several question that I would like to ask, (see attachment)
truss_2.png

truss_3.png


From the truss, I put them into global coordinate, and named the member (in square), but I would like to ask about the arrow for Near and Far (in Cyan), is there ways to determine or is it assumed by ourselves? Thanks!
 
nodal analysis is how one would do it but as said if there are too many unknowns than knowns, computational methods may have to be used. I know sometimes with complicated trusses using matrices can be an adequate tool I believe.
 

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