First off the OP states 57 gallons, this to the brim which is not a realistic
total brewing volume correct? Sounds to me like 40 gallons while brewing away with
30 or more net in the Corny's to tap off later at the most. JMO's here don't shoot me on
on my guessing here.
Try these at the bottom of my reply, great forums and information to work off.
There is another forum with the temp rise vs gallons used plus it will tell you the needed
wattage to match the time you want to hit a set temp. This forum at the moment is lost
with my old computer as it had a total HD failure. I am stll looking for this forum maybe
another brewer has this forum and post it. It was great to punch in numbers and get times
in minutes or watts required.
There are 6KW watt elements and higher out there your not
limited to 4,500, 5,000 and 5,500 watts.
I have found 5.5KW the highest in ULD elements.
Even at two 5.5KW elements your drawing 45.8 amps
a 50 amp breaker is already at 91.6% of it's rating without adding
any control power, lights or pumps.
With the 80% maximum rule should you follow it ok, (i'll get reamed out mentioning anything related to the NEC code book but then it's your house and not mine that the fire investigators will look thru the ashes then drop your fire insurrance policy if found wired wrong). Ok now your looking at a 60 amp breaker then your at 76% of the breakers rating as well the wiring and the cord to your brewery sized to handle this amperage.
Once you go over the 50 amp breaker zone you must face the bigger dollar cost of the socket and plug to plug in your brewing system, even 50 amp twist-lock's are not cheap price them out. Your into pin socket and plug cord cap zone this into the $300 plus range for both on up in cost. Price out a Crouse Hines or a Killark 100 amp plug not alone a socket and you'll go thru a 6 pack of toilet paper within seconds or sticker rectal shock.
This will get you into the same above forum to work out times, watts and temp rise.
Hope this gives you some ideas and a direction. Carl.....