I've been trained to know the calculated gross weight and center of gravity for takeoff and landing for every flight for which I have acted as pilot in command.
I've had other instructors dispute that this is not a requirement and simply being familiar enough with the aircraft to reasonably be able to estimate that you're within C.G. tolerances considering the fuel and passengers is satisfactory.
Are there any regulations that explicitly define the requirements of pre-flight weight and balance familiarization for civil airplanes requiring an AFM containing takeoff and landing distance data?
If not, surely there is some catch-all so lawyers can sue us easier; what would that most likely be based on case law? 14 CFR 91.13, the "all available information concerning that flight" clause from 14 CFR 91.103, or something else?
Note that 14 CFR 91.103(b) requires familiarization with runway lengths of intended use and takeoff and landing distance data for any flight; myself and others would argue that being able to meet that condition would require, at a minimum, familiarization with certain weather metrics and knowing the airplane's loaded gross weight.
However, I am still not seeing an explicit requirement to know a specific C.G. figure.
I know of one recent prosecution in the UK for 'endangering an aircraft' that was due to overloading:
https://www.manchestereveningnews.co.uk/news/greater-manchester-news/pilot-jailed-crash-landing-risking-15981019
God knows where that aircraft would be on the graphic when it was overloaded by more than 400lb!
– Dave Gremlin Apr 30 '19 at 11:58