The agitator supplier should provide complete nozzle loads (overturning moment, operating torque, dead weight at a minimum) and you should input that into a nozzle analysis to confirm will be well. Request the mixer vendor's maximum deflection criteria (stiffness) because the flexibility of the nozzle supporting the mixer is the limiting factor, not simple stress in the tank wall. API 650 does not have stiffness criteria but agitator suppliers should have one. API 650 Annex P may be of interest to you but I've heard that tank analytical software is preferred for this.
A couple points of great importance:
1) Tank nozzles are not usually designed with agitators in mind, so it's not a guarantee that it will work.
2) Pay attention to the tank nozzle/manway bolting pattern. There are so many things referred to as '24" manway' or '24" nozzle', that you should double-check the actual bolt pattern being supplied to be certain. I've been involved with a few cases where nobody checked closely until the mixer arrived on site and the tank was pumped down and cleared, and the mixer adapter flange did not line up. That is a sad, expensive day that is perfectly avoidable.
3) Pay attention to in-tank obstructions and clearances. Floor clearance, roof clearance, roof supports (if any), and the minimum liquid level for operating the mixer. Ensure the mixer controls are interlocked against the liquid level to ensure it's never operated where it can damage the roof lining. If the mixer swivels, check clearances at full sweep - this is important because nozzle neck lengths vary.
4) If the mixer has any auxiliary supports, ensure they are constructed to allow the normal tank wall deflection between empty and full. A rigid leg under the mixer that makes the mixer and nozzle into a flying buttress is generally a Very Bad idea for both the mixer and the nozzle.
David