@basit701...
Core saturation is when you get un-equal current on the positive and negative cycles of the AC waveform (like if you half wave rectify with one diode). This causes rhe core to magnetize by different amounts in each direction, effectively you're developing a DC bias on the core material. Now a choke can handle this condition because it has an air gap in the core to stop it saturating, a transformer has no gap so the offset will start to saturate it, dropping the inductance and increasing the primary current significantly - it will get hot and buzz. I hope this provides a clearer explanation.
So the conclusion is unless conductors open AND drastic mismatch in components the 4 diode circuit works fine. Silly to consider the 8 diode version unless you suffer from OCD?
paulie, That's certainly not my conclusion! I won't speak for dom0 now he sees what I'm getting at. The OP is asking this question because he wasn't sure whether the 2 transformers will act like one. What we have established it that they will only do so if there is equal load on the 2 rails. Maybe he intends to fuse his 24V rails? maybe his load won't be balanced? WE don't know. If he loses connection on one of his rails (fuse, loose wire, whatever) or his load gets too unbalanced then his transformers WILL saturate. I didn't say anything about "AND drastic mismatch in components" that makes no difference.
If his transformers are toroidal then it's probably the best case because this will instantly blow the mains fuse. If they are not, and the primary fuse matching isn't too good then he will get heat, if unattended then maybe smoke or fire before it blows. He will probably get the opportunity to go and purchase new transformers. Remember we're not talking about an output overload here, just an open circuit or imbalance in load.
I am talking about SAFE design here, we don't know enough about the OP's load to know. The cost and extra voltage loss (remember we're talking 24-0-24 here, not 5) of an extra bridge is worth it for the additional safety that it brings. That is my 'conclusion' anyway. I believe we should be advising the OP on the safest option if he doesn't understand the hidden 'gotcha' in using 2 transformers in place a single one.
Maybe you consider that silly and OCD, maybe I've spent too long designing products for customer safety but I'd prefer not to be the one who causes him to burn his house down (extreme but possible) because I didn't disclose some fact that I personally considered something that I wasn't worried about. Let's let the OP decide his preference!