This is a general question about Statics. I was not able to find a specific question that includes this situation.
I have a right triangle ABC with two (or three) members. Member AC is diagonal with a pin support (prevents translation) at C. Member AB is horizontal with a full support at B (prevents rotation and translation). B and C are against a wall (i.e. parallel to the Y-axis).
I apply a Force F at point A (which is one tip of the triangle). This Force could be parallel to the Y-axis, but I'm interested in finding out about cases where it is not parallel to anything.
I need to find the forces in all members of the triangle (there are only two members which experience force; there could be a member BC but it will be a zero-force member). I also need to find the reactions at B and C.
∑F(x) = 0
∑F(y) = 0
∑M = 0 at point N
The Attempt at a Solution
If we have a Force that is parallel to the Y-axis, M=F(d) where d is the length of AB
Since the net moment at B is zero, we must have a counteracting moment provided by the member AC and/or by the full support at B (if this were a pin-type support instead, I *believe* but would like to confirm that the problem is simplified because the counteracting moment must be provided by AC, then applying M=F(d), though I'm not sure if that would work).
In general, I would like to know how this force is distributed among the two involved members AB and AC.