have not bothered to read all the previous posts!
My 4 1/2 " bandsaw used to break blades with alarming frequency.
1. Made sure that everything was aligned, guide rollers, tracking etc etc.
2 Found that the driving and driven pulleys were running out. Removed and cleaned up in the lathe.
3 Saw an article in Engineering in Miniature about a Blade tensioning "meter"
The meter consists of a frame with a fixed leg which is clamped to the bandsaw blade. The other leg also clamps to the blade, but pivots on the frame of the meter, and drives a DTI. The article went into the maths of it, Blade material strength / stress etc and advised a small range of extensions to provide the correct tension.
So the DTI is Zeroed with the blade untensioned, and the tension increased until the extension lies within the "acceptable" range.
On the first trial, the saw cut a disc about 1.5mm thick whrere the thickness differed by by only 0.025mm
I am not suggesting that this is consistent level of perfromance!
But I cannot remember when I last had to replace a broken blade. They seem to last longer, and wear out.
Maybe I've been lucky!
HTH
Howard