I want to ask an open question.
What happen if with correct flap config, trim, cg and engines, you select wrong V1/VR/V2 speeds, with values bellow the real ones?
You may get airborne, but you will stall and depart from a controlled flight as soon as you leave the ground effect.
May were not a mechanical failure at all.
This may partially answer your question, although it was a rather significant miscalculation of gross weight:
MK Airlines Crash
I may be wrong but I suspect that the error in V1/Vr/V2 calculation, if any, wasn't so large in the Spanair accident. In the MK case, the take-off weight from a previous sector had been used to calculate the take-off data at Halifax, resulting in a very large error in take-off data.