Solving a Three-Force Member Equilibrium of Particles Question

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Homework Help Overview

The discussion revolves around a three-force member equilibrium problem in the context of particle mechanics. The original poster is attempting to analyze the forces acting on a three-force member and is seeking guidance on how to proceed with the problem using the three-force member theory.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster presents a free body diagram (FBD) and mentions a right-angle triangle related to the problem but expresses uncertainty about the next steps. Some participants suggest breaking down known and unknown forces into components and applying equilibrium equations, while others highlight challenges with the three-force member theory specifically.

Discussion Status

Participants are exploring different methods to approach the problem, with some offering guidance on using equilibrium equations. However, there is a clear indication of difficulty regarding the application of the three-force member theory, and no consensus has been reached on the best approach to take.

Contextual Notes

The original poster indicates a requirement to use the three-force member theory, which adds a layer of complexity to the problem. There is also a reference to external resources for further clarification on the graphical method, although the poster has not previously used this approach.

Melawrghk
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Homework Statement



2055-1262.jpg


Homework Equations


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The Attempt at a Solution


The prof told us to treat the three-force member as an equilibrium of particle question. So here is the FBD and the triangle I set up for the particle equilibrium:
2055-126.jpg


I don't know where to go from there.. I mean I know it's a right angle triangle, where I know the hypotenuse, but that's really it. Help? :)
 
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Your first FBD is good. It is usually best to break up the known (3kN) and unknown (A and B) forces into their x and y components. Then just use the 3 equilibrium equations (sum of x forces =0, sum of y forces = 0, and sum of moments about any point = 0) which will give you the required 3 equatiions to solve for the 3 unknowns A, B, and alpha.
 
Thanks Jay. I know how to do it with the equilibrium equations actually. But I'm having problems doing it using the three-force member theory...
 
Melawrghk said:
Thanks Jay. I know how to do it with the equilibrium equations actually. But I'm having problems doing it using the three-force member theory...

That's a pain theory to use, but if it is required by the problem, the steps are shown here at
http://darkwing.uoregon.edu/~struct/courseware/461/461_lectures/461_lecture15/461_lecture15.html
I've never used the graphical method.
 
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