calculation of binding reactions

[volaff]

goodgiorn to all.
Perhaps I will be rusty but, trying to do this exercise, I had a doubt/problem.
the solution says that to determine the binding reactions in or and the only equations of static have been used.
I find myself having 4 unknowns and 3 equations.
Don't miss an equation?
The system seems to me to be solved, for example, by the method of forces.
I will still have sleep maybe but...

thanks for every suggestion

 

[Fabio 81]

goodgiorn to all.
Perhaps I will be rusty but, trying to do this exercise, I had a doubt/problem.
the solution says that to determine the binding reactions in or and the only equations of static have been used.
I find myself having 4 unknowns and 3 equations.
Don't miss an equation?
The system seems to me to be solved, for example, by the method of forces.
I will still have sleep maybe but...

thanks for every suggestion
View attachment 57848

 

[Fabio 81]

hi volaff, I solved this way (see photo).
I realized that the letters I put are different from yours, correct them.
good work!; )

 

[volaff]

Bye.
Thank you very much.
I actually found myself an equation less because I wanted to directly balance the overall, but, of course, it was necessary to make a free body diagram for each part ie the two parts just like you did.
Thank you very much.
a comparison is always a great thing.
if you need books and/or texts in pdf let me know.
I have a good library.
See you soon!

 

[Fabio 81]

Of course not!

 

[volaff]

Thanks again.
to think about it and in mind shiny, you can also solve it by graphic way very quickly.
Good weekend!!
:

 

[Betoniera]

Hello volaff
As a and c of the hinges, it follows that the reactions in these points must be aligned (otherwise the curved rod would turn to align the reactions).
therefore the reaction in a is inclined of 45 degrees
the av vertical component must be 3*100 lbf = 300 lbs (for the balance of the moment compared to or
the horizontal ah reaction must also be 300 lbs because the resulting must be 45°
ov reaction must be 200 lbs (balance moment in a)
the oh reaction must be 300 lbs (horizontal transfer of the oab rod)
the reaction in c must be equal and contrary to
therefore cv = 300 lbs and ch = 300 lbs. resulting at 45°
Hi.

 

[volaff]

Thank you.
with the graphic balance I find perfectly with your reasoning.
:
Good weekend!