Can a beam with supports at each end support any weight?

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Talha
So basically i was solving this question about moments amd while solving it i noticed that beam will always remain balanced as FA will decrease and FB will increase as the man moves forwards thus plank alwats remains in equilibrium but now the question is can it support any weight without toppling? If no then how can we figure out in practical situations that how much the beam can support a weight or how much is it stable?
 

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There must be something deeper, intended by the OP than just the principle of moments, surely. There is no way one would imagine than the either end of the beam would move upwards, wherever you stood on it. Give us a clue, @Talha