How to Solve Support Reaction (Virtual Work)?

[Suraj alexander]

Hey guys,
I was revising using some past papers for my structural mechanic module when I realized that I don't know how to do this problem:
https://physicsforums-bernhardtmediall.netdna-ssl.com/data/attachments/83/83583-240450b2eac78c09f31d35a531383268.jpg [Broken]
If it was for the deflection of node E and F, I can answer that quite easily but I don't know how to find the reaction. I asked my professor but I find it quite hard to understand her. Anyone willing to explain it step by step please?

 

[Illmatic1]

Thanks in advance. The best way to find the reaction forces at nodes E and F is by using a method called free body diagrams (FBD). This involves breaking the structure down into individual components and then drawing a diagram of each component, along with any forces that are acting on it. For example, for the beam BC, you would draw a diagram like this:[Diagram of beam BC with loads, reactions, and other forces labeled]From this diagram, you can see that the reaction force at node B must equal the sum of the applied loads. So if we label the reaction force at node B as Rb, then we can say that:Rb = P + QWe can use a similar approach for the other components of the structure, such as beam DE and the supports at nodes E and F. For example, for the support at node E, we can draw a diagram like this:[Diagram of support at node E with loads, reactions, and other forces labeled]From this diagram, we can see that the reaction force at node E must equal the sum of the applied loads. So if we label the reaction force at node E as Re, then we can say that:Re = P + QBy combining all of these equations, we can solve for the reaction forces at nodes E and F. I hope this helps!