Equilibrium equation for a frame

In summary, The problem statement implies that the force is acting on the pin and the solution assumes the moment at the pin is zero. Therefore, in the free body diagram of member BE, the force P is not included and only internal forces and the external roller reaction are shown. The force Ex is also taken into account in the solution.
  • #1
princejan7
93
0

Homework Statement



http://postimg.org/image/scm11r483/




So when considering the free body diagram for member BE, why is the force P not included?

Does the Ex account for the bit of the P=210 that would act on member BE?
 
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  • #2
princejan7 said:

Homework Statement



http://postimg.org/image/scm11r483/




So when considering the free body diagram for member BE, why is the force P not included?

Does the Ex account for the bit of the P=210 that would act on member BE?
The problem statement seems to imply that the force is acting on the pin. The pin is then assumed to exert a force Ex on member BE. In the problem solution, moments are taken about the pin, so the force at E doesn't matter in this moment balance. However, the solution implicitly assumes that the moment at the pin is zero (i.e., BE rotates freely at the pin).
 
  • #3
princejan7 said:
Does the Ex account for the bit of the P=210 that would act on member BE?
Did you solve for Ex? It's quite a bit of P.
In the FBD of the member, the internal cut is made an infinitesimal distance away from the joint, so it does not include P in your FBD of the member, just internal forces Ex, Ey, CD, and the external roller vertical reaction.
 

Related to Equilibrium equation for a frame

1. What is the equilibrium equation for a frame?

The equilibrium equation for a frame is a mathematical representation of the forces acting on a frame structure, where the sum of all external forces and moments must equal zero in order for the frame to remain in static equilibrium.

2. How is the equilibrium equation derived for a frame?

The equilibrium equation for a frame is derived by applying the principles of Newton's laws of motion and the concept of static equilibrium to the individual components of the frame, such as beams and joints.

3. What are the variables included in the equilibrium equation for a frame?

The variables included in the equilibrium equation for a frame typically include the external forces acting on the frame (such as applied loads and reactions), the internal forces within the frame members (such as axial, shear, and bending forces), and the geometry and support conditions of the frame.

4. How is the equilibrium equation used in frame analysis?

The equilibrium equation is used in frame analysis to determine the internal forces and reactions at each joint and member within the frame. This information is essential for designing and analyzing the stability and strength of the frame.

5. What are some common assumptions made when using the equilibrium equation for a frame?

Some common assumptions made when using the equilibrium equation for a frame include neglecting the weight of the frame itself, assuming rigid and perfect connections at the joints, and assuming that all forces act at discrete points rather than distributed loads.

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