Reaction forces at pin joint on a frame

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SUMMARY

The discussion focuses on determining the reaction forces at the pin joint on the right side of a parallelogram frame structure. The user is attempting to apply the principles of static equilibrium, specifically the sum of moments and forces equal to zero, but is struggling to set up the necessary equations. It is established that the frame can be treated as a rigid 2D object, which limits the number of independent equations available for solving the unknowns. To progress, the user must analyze force balances on interconnected parts of the frame to generate additional equations.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with moment and force calculations
  • Knowledge of frame structures and pin joints
  • Ability to set up and solve systems of equations
NEXT STEPS
  • Study the method of joints in truss analysis
  • Learn about internal force analysis in frame structures
  • Explore the concept of equilibrium in 2D structures
  • Review examples of solving for reaction forces in static systems
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Students in engineering mechanics, structural engineers, and anyone involved in analyzing static structures and their reaction forces.

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Homework Statement


Basically, I am looking to find the reaction forces at the pin joint on the right side of the structure. I just realized it is not labeled on my diagram, but it is the pin on the link opposite of E. Where the 13 degree angle is measured from.


Homework Equations


I have tried to use the sum of the moments and forces equal to 0, but I am stuck and not sure what to do to solve for the unknowns I need.


The Attempt at a Solution


My attempt at the solution is attached. If anyone could help me just set up the equations I would need to find the reaction forces at the pin at the right end of the structure that would be great.

Thanks!
 

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Your equations all apply to the parallelogram frame as a whole. That means it might as well be a rigid 2D object, in which case there would only be three independent equations available. Indeed, there would not be a unique solution.
After your first three equations, to make progress you need to consider force balances on parts of the frame that are only pinned to each other. That may bring in more unknowns for the internal forces. Keep going until you have as many equations as unknowns.
 

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