In this problem, the extra equation that I think enables its solution is that we know that, at point F, the vertical deflection of this beam must equal zero (since the beam can't physically move downwards at point F). If I am understanding the constraints at A and F correctly, this looks like a statically indeterminate beam, meaning that we need to be creative and find one more equation in order to solve for all our reactions BEFORE we even start thinking about shear/moment diagrams. So we start this problem with four unknown reactions, but we only have three statics equations at our disposal. Point F is on a roller bearing, which implies that we have: Point A is a "Fixed" constraint, which implies that we have: ![]() Generally speaking, through using these three equations we can solve for up to three unknown parameters in our body.
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