Dynamic analysis considers the various dynamic shapes the system can take when the load is applied - the mode shapes.
Static load, alone, may not develope these shapes.
If you can't reproduce the shape, you cannot say the stress distribution is proper. That's one thing.
The program combines the response for each mode to give the total system response. If you are not running a time history analysis, these modes are probably combined by SRSS with some adjustment for closely-spaced modes of vibration. SRSS of many modes is not the same as the static solution of the induced load (induced = applied * DLF).
_________________________
Dave Diehl