There are formulas in AWS Welding Handbook, Volume 1 that calculate "theoretical" angular distortion, transverse shrinkage and other things. I wrote some GWBAsic code many years ago trying to simulate the formulas but gave up based upon my very limited math background. (This was well before Excel, MSDOS and Dual Floppy Drives).
So someone could probably whip up some spreadsheets with all the needed formulas.
Gerald