Statics free body diagram (frames and machines)

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lc99
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Homework Statement



Structural frame diagram with points A, B, C, D and E: a rectangular truss with a diagonal member from A to D, a 4 kN/m triangular distributed load on top, a 5 kN downward force at C, and dimensions of 1.5 m, 1.5 m and 2 m.

Homework Equations


Trying to find the reaction forces at E. But, I am kinda confused about drawing the free body diagram for each member. I know that member AD and CB are two force members. What is wrong with my free body diagram then?

The Attempt at a Solution


Hand-drawn free body diagram of a two-member frame: upper member labelled AD with reaction Ex, Ey at pin E, a 5 kN downward force, and Dy at the right end; lower member AB with a 5 kN load and reactions Ay and By.

i apologize if everything is not straight. Just assume that i tried to draw it straight!
 
Attachments
  • Structural frame diagram with points A, B, C, D and E: a rectangular truss with a diagonal member from A to D, a 4 kN/m triangular distributed load on top, a 5 kN downward force at C, and dimensions of 1.5 m, 1.5 m and 2 m.
    upload_2018-4-15_23-44-15.png
    13 KB · Views: 2,297
  • Hand-drawn free body diagram of a two-member frame: upper member labelled AD with reaction Ex, Ey at pin E, a 5 kN downward force, and Dy at the right end; lower member AB with a 5 kN load and reactions Ay and By.
    upload_2018-4-15_23-47-53.png
    7.2 KB · Views: 1,135
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lc99 said:
What is wrong with my free body diagram then?
I see two errors in your AB diagram.
You have the load from above wrong, and you show no reaction forces from the wall.
 
haruspex said:
I see two errors in your AB diagram.
You have the load from above wrong, and you show no reaction forces from the wall.
Ohh. okay about AB
The distributed load is the area of the two triangles and it is centered at the centroid ?

I also posted another problem very similar to this. I followed the same thing and add the wall(floor) reactions but it ended up being wrong
 
Last edited:
lc99 said:
The distributed load is the area of the two triangles and it is centered at the centroid ?
Ok, maybe I misunderstand the diagram. If it is to be interpreted as a load that is a maximum of 4kN/m in the middle, reducing linearly each side, then I agree with your number. Since it only specified 4kN/m I took the load to be constant.
lc99 said:
I followed the same thing and add the wall(floor) reactions but it ended up being wrong
If you post the link I will take a look, but in this thread I believe you need to includ those reactions.
 
haruspex said:
Ok, maybe I misunderstand the diagram. If it is to be interpreted as a load that is a maximum of 4kN/m in the middle, reducing linearly each side, then I agree with your number. Since it only specified 4kN/m I took the load to be constant.

If you post the link I will take a look, but in this thread I believe you need to includ those reactions.
here is the link. thank you! :)
https://www.physicsforums.com/threads/statics-problem-free-body-diagram.944966/#post-5980018