Two beams attached by pivot supporting a load
Hello everyone, sorry if this is not the right forum, maybe better suited for askengineering, since it's not really for homework, just a project.
I have a problem where I am trying to find the force on a beam connected to a fixed plate on the ground. I have attached a picture of a doodle with the problem.
There is a steel bar attached to the floor on one end at a 45 degree angle and at the other it is attached to a pivot. That pivot is attached to the second steel bar, also at a 45 degree angle. The force of 100lbs is applied downwards on the end of the top bar.
Crucial: I forgot to draw a stop at the pivot that limits the bar from getting closer than 90 degrees apart. So i guess the pivot doesn't matter much in this context.
The load is 100 lbs, bars are each 20" long and 1" wide. It is 1/8" steel. The force is being applied across the wide direction of the bar.
What would be the best way to approach this? Just do two separate problems? One for each bar? I found the stress acting on the beams as though they were supported on one end with all the weight at the other. I am not sure how to correctly account for the angles.
I is moment of inertia Z is section modulus
These were my calcs for one bar acting as a beam supported on one side.
I of 1/8” 1” bar is I = 0.01041
Z of 1/8” 1” bar is Z = 0.02083
I used a modulus of elasticity of E = 30000 KSI as a generalization
Deflection at 20" = (W L3) / (3 E I )
Deflection at 20” = (100 lbs * L3) / 936900 lbs.in2
Deflection at 20” = 0.85”
Stress at the support is WL/Z
Stress = 96015 psi
Thanks for any help.