Rigid Body Static Equilibrium. Find force components

AI Thread Summary
In the discussion on rigid body static equilibrium, the focus is on analyzing the forces acting at pin C, which connects members ABC and CDE. The participant has derived two equations involving three unknowns related to vertical and horizontal forces, as well as moments. They are considering the implications of treating each member separately to simplify the equations. The participant suggests that by isolating member CDE, they can determine the force Dy, which could help in solving the system. The conversation emphasizes the importance of applying equilibrium equations to find unknown forces in static structures.
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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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