If you only replaced one bridge rectifier, this probably explains it.
Not sure how you checked the one that wasn't shorted. I think the "good" one has a problem.
We have been replacing both bridges when one of them fails for a long time now. Consider that your two replacements should match as well as possible. The factory bought thousands at a time. Parts from the same batch typically match reasonably well. But if you have two bridge rectifiers from different suppliers, one of them could end up taking more than half of the load, then overheat and fail prematurely. And if both of them have the same markings, and came from the same supplier at the same time, they will probably match well enough. Two parts with different markings will only balance by accident, even if they are both rated the same.
A transformer that grunts under load probably has some DC current in the transformer's secondary winding. A full-wave rectifier like a bridge is DC-balanced. That is, the transformer's current in one direction is always equal to the other direction,
But a rectifier with a bad section allows more current to flow one way in the winding, than when it flows the other way during the other half of the cycle.
Called a "DC offset". This reduces the inductance of the winding, raises the temperature of the whole thing. That "grunt" is a warning to back off until the rectifier circuit is working properly.
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