Rigid Body Static Equilibrium. Find force components

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SUMMARY

The discussion focuses on solving for force components in a rigid body static equilibrium problem involving members ABC and CDE connected at Pin C. The user has derived two equations: 10By + 22.5Dy = 77500 and Ay + By + Dy = 7500, but faces three unknowns. The user contemplates using the sum of forces at Pin C to isolate Dy, suggesting that Dy = 1500 could simplify the equations and facilitate solving for Ay and By.

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Homework Statement



Pin C joins members ABC and CDE

Homework Equations



Sum of moments at a point = 0
Sum of vertical forces = 0
Sum of horizontal forces = 0

Weight of triangle acts as a force at its centroid (1/3) its length according to this figure.

The Attempt at a Solution



See pictures.

I get 2 equations with 3 unknowns.

10By + 22.5Dy = 77500
Ay + By + Dy = 7500

Any advice what to do next?
 

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Since it says Pin C joins members ABC and CDE, does that mean I can take each part and sum forces to zero?

Such that working with CDE Dy = 1500 allowing me to decouple the other two equations.

Just a thought. Not sure.
 

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