Calculating Forces in Static Equilibrium: Solving for the Force on Bolt O

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The discussion revolves around solving for the force on bolt O in a static equilibrium problem involving a triangular bracket. The user has struggled for six hours to determine the correct force, which they believe totals 1037 N, but are unsure how to arrive at this figure. They have calculated components of the force, finding Fx = 275 N and Fy = -476 N, but their results do not align with the expected total. The user attempted to sum moments around points O and A, but is confused about the calculations and the role of point B. Assistance is sought to clarify the calculations and determine the force acting between point A and the hypotenuse of the triangle.
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Equilibium Of A Moment Help Please!

Please I tried for six hours to finish this seemingly easy problem yesterday I'm in dire need of help I've tried everything.
Heres the Problem:

I attached a diagram click statics to open it but here's the question
Q: For the loading condition shown below, determin the force on bolt O knowing that the triangular bracket is held up by the fixed shelf on the lower part of the wall.

(The value of F, is F=550 Newtons not 55 as it may appear in the picture.)
also I eventually found that the correct answer is F total=1037 N, but I don't know how to determine it.

Then found fx=275N and fy=-476 N from the componetns of f
What I did was Sum the Moments first take the moment of O and the Moment of A, since B cannot support a moment I didnt have one there.
so sum of M = M of o + M of A
sum of M's= 312.5 NM = (fay x .4 m) - (Foy x .4m)
and the
sum of x's=Fox=275
sum of y's=Foy=Ay-476
which makes the components of F, Fx= -275 and fy=681, which results no where near 1037 N...

I did somethign wrong I don't know what please help! thank you!
any help is much appreciated!
 

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Please Someone Help! I am Desperate
 
Please somebody! just a start anythinG!
 
Last edited:
Can you determine the force act between A and the hipotenus of the triangle which is perpendicular to the hipotenus ?
 

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