Equilibrium equation for a frame

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The discussion centers on the free body diagram (FBD) for member BE in a frame analysis. It questions the exclusion of force P from the FBD, clarifying that the force at the pin is assumed to exert a reaction force Ex on member BE. The solution involves taking moments about the pin, which leads to the assumption that the moment at the pin is zero, allowing BE to rotate freely. The internal cut in the FBD is made close to the joint, thus not including P, but rather focusing on internal forces and external reactions. Understanding these dynamics is crucial for accurate equilibrium equations in frame analysis.
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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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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).
 
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.
 
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