I have yet to discover whether it is me, the blade, or the saw but I am not finding the bandsaw useful for ripping 0.125" off a piece that is 27" long and 2.625" wide.
My old bandsaw, Rockwell 10" would have trouble with this task. My new bandsaw, JET 14", does not have this problem when used properly. This is often caused by feeding the stock to quickly.
My old bandsaw would do what is commonly called "blade drift" or "blade wander." Google those and there may be some solutions that will help. Ignore the solutions involving an angled fence.
jtk
"A pessimist sees the difficulty in every opportunity; an optimist sees the opportunity in every difficulty."
- Sir Winston Churchill (1874-1965)