@Mongo, there's a lot of depth you could go here. I'm just going to start with something here...
A good tool is "TheLaminator", I think there's a 30 day trial but a license is $29. This would give you apparent laminate properties from a stackup of composite lamina. There are some tabs for loading... which I think suggest to you a max moment if I'm remembering correctly.
http://www.thelaminator.net/
You can use the above for getting laminate properties. For analysis of panels, Roarks Stress and Strain is the best accumulation of different loading conditions. Table 8.1 on page 189 is a good place to find scenarios. You can use these to get the max moment.
https://jackson.engr.tamu.edu/wp-content/uploads/sites/229/2023/03/Roarks-formulas-for-stress-and-strain.pdf
Composites typically fail in compression, so you can use these equations
This is a great original paper from NASA that discusses theory. There is a lot of matrix math, so leaving the calculation programs to do the math is a great route.
https://ntrs.nasa.gov/api/citations/19950009349/downloads/19950009349.pdf