In a beam, BM at one of the supports is zero. It means, nature of that support is Simple support without overhang Simple support with overhang Fixed support Fixed support with overhang
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Wherever in the beam or any other structure the rotation is allowed then the moment will be zero. We know that moment or stresses only develop if there is a resistance to deformation, and if rotation is allowed there will not be any type of resistance. Now you can think for you self at which type of support moment will be zero. Hinge support, roller hinged support, internal hinge all are such example. One more thing I want to clear is that no rotation doesn’t mean no moment. it can or can not be zero moment, you will have to check if there is any resistance. This logic is also application to find out reaction forces and shear forces.
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