Stability of frame
Stability of frame
(OP)
Hello everyone, I have a question regarding the stability of a frame:
I may be wrong but from what I have learned to check for stability given a determinant system you must control two things:
1) Not all reactions forces are parallel or concurrent. (This frame satisfies this rule)
2) Rigid bodies are connected by 3 non-parallel and non-concurrent constraints. (I am not sure about this, from what I see the frame is composed of two rigid bodies connected by a hinge and the hinge provides 2 constraints (one in x and one in y direction)
So I would conclude this frame is determinant and NOT STABLE. Im I wrong?
Thank you very much I am attaching a picture for your review
I may be wrong but from what I have learned to check for stability given a determinant system you must control two things:
1) Not all reactions forces are parallel or concurrent. (This frame satisfies this rule)
2) Rigid bodies are connected by 3 non-parallel and non-concurrent constraints. (I am not sure about this, from what I see the frame is composed of two rigid bodies connected by a hinge and the hinge provides 2 constraints (one in x and one in y direction)
So I would conclude this frame is determinant and NOT STABLE. Im I wrong?
Thank you very much I am attaching a picture for your review

RE: Stability of frame
RE: Stability of frame
RE: Stability of frame
RE: Stability of frame
RE: Stability of frame
RE: Stability of frame
RE: Stability of frame
Below find a solution with selected loading as per ur sketch..
RE: Stability of frame
RE: Stability of frame
RE: Stability of frame
Dear retired13, the deflected shape is not applicable since both elements are rigid as per assumption 2.
RE: Stability of frame
Interestingly I see another problem associated to my suggestion to make horizontal roller support - if the horizontal load reverses direction, then again, it is not stable. So, I'll stick to my original suggestion, the roller shall be replaced by a pin. Sorry for the confusion.
Mechanically speaking, the system can stand still with favorable conditions, but it's so called "limiting equilibrium", that is a neither-nor phenomenon - a marble stay on top of a dome.
RE: Stability of frame
RE: Stability of frame