Rigid Body Static Equilibrium. Find force components

In summary, the problem involves finding the unknown forces in a truss structure, where Pin C connects members ABC and CDE. The equations to be used are the sum of moments at a point = 0, sum of vertical forces = 0, and sum of horizontal forces = 0. The weight of the triangle is also considered as a force at its centroid, which is 1/3 of its length. There are 2 equations with 3 unknowns, and it may be possible to decouple one of the equations by considering the CDE member separately.
  • #1
sharp12
4
0

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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  • #2
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.
 

Related to Rigid Body Static Equilibrium. Find force components

1. What is "Rigid Body Static Equilibrium"?

"Rigid Body Static Equilibrium" refers to a state in which a rigid body is at rest and all forces acting on it are balanced, resulting in no net force or torque on the body.

2. How is "Rigid Body Static Equilibrium" achieved?

"Rigid Body Static Equilibrium" is achieved when the sum of all forces acting on the body in all directions is equal to zero and the sum of all torques acting on the body is also equal to zero.

3. What is the equation for finding force components in "Rigid Body Static Equilibrium"?

The equation for finding force components in "Rigid Body Static Equilibrium" is Fx = Fcosθ and Fy = Fsinθ, where F is the magnitude of the force and θ is the angle between the force and the x or y axis.

4. What is the importance of finding force components in "Rigid Body Static Equilibrium"?

Finding force components in "Rigid Body Static Equilibrium" allows us to understand how forces are distributed and balanced on a rigid body, which is crucial in determining its stability and potential for motion.

5. Can force components be negative in "Rigid Body Static Equilibrium"?

No, force components cannot be negative in "Rigid Body Static Equilibrium". This is because all forces acting on the body must be balanced and have equal and opposite components in all directions.

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