Problem statement
Solution video1
Solution video2
DISCUSSION THREAD
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Do we not need some sort of additional measurement of the pin? like how do we know how much area of the members are intersecting with it?
For this problem, I am going to assume that the pin is experiencing double shear and the force acting internal to 1 will be the force I use to determine the diameter of the pin.
I also assumed a double shear which can somewhat be seen in the given art. After finding the loads of the members you can use that to find the shear force, and then solve for the diameter. I don't believe the amount of the members intersecting matters.
Well I just used our standard pi r^2 for area of the pin but I multiplied it by 2 since the member AC has two pins and we need to take both into account.
I think we just need to use method of joints to find the forces in members (1), (2), and (3) by balancing forces and moments at each joint. And then use shear stress to find the minimum diameter.
I was just going to use method of joints to find the first 3 members then use that to find shear stress.