Statics, Finding Reaction forces for A and H

[Stedevin]

Homework Statement

1. Find the reaction forces from the walls at points A and H.

Relevant Equations

Sum of the forces and moments are equal to zero.

I would like some help with the first part of this problem. I have calculated the distributed load to be 3.82kN down as the integral of f(x) from 0 to 6 gave me that value. I found it to be 3m to the right of A as well.

As such based on an analysis beam ABCD I calculated A(y) to be 3.67kN based on the sum of the moments at D and D(y) to be 0.15kN based on the sum of the forces in the y-direction of beam ABCD.


It is at this point I am stuck. I tried to use my calculation of D(y) on beam EDFG to determine a pair of equations to find D(x) and F(T) based on the moment about G of beam EDFG. As well as the sum of the moment about H of the whole system. However, I could not make this work.
Any idea of how to move forward?

 

[Lnewqban]

Welcome, @Stedevin !

Have you tried a free body diagram for each member of the armature?

 

[Stedevin]

@Lnewqban I have I haven't submitted them here because I have really messy handwriting and my drawing aren't very good.

Right now I'm just having trouble with transitioning from member ABCD to EDFG. I have the vertical force D(y) =0.15kN for joint D but I can't find the equations even with the free body diagrams for ABCD, EDFG, and GH. As mentioned in my post I tried using the sum of the moment for point G of individual armature EDFG and pairing that with the equation for the sum of the moment about H for the whole system. However I couldn't get that to work out. Any answer I got from that system of equations was incorrect with basic equations such as the sum of the forces in the x-direction wouldn't be equal to 0.

 

[Stedevin]

@Lnewqban Here is a recreation more or less of my FBD in paint. Sorry for the low quality I just don't have any software.
Entire System:

Member ABCD:

Member EDFG:

Member GH:

 

[Lnewqban]

@Lnewqban I have I haven't submitted them here because I have really messy handwriting...

For posting equations, we prefer that you use the LaTeX software.
When you're typing any post here, you can see a link to our tutorial in the lower left corner of the typing box named LaTeX Guide.
This is a good place to start for getting familiar with LaTeX.

 

[Lnewqban]

Consider F as a fixed pivot (restricting any vertical movement of point F), and member GH working under pure compression load (otherwise, it would swing about pivot H).
Note that member AD is restricting any horizontal movement of point D of member EG.

 

[jedishrfu]

How did you solve it? What were the areas that you had to overcome?

It could help others who come here to see your first post.