Mounted Vessel Statics Problem 1

[pdiculous963]

Could anybody help me resolve a statics problem? What I have is a piece of equipment that is mounted to a vessel by two flanges (at points (a) and (b) in the drawing). I know the weight of the mounted equipment, and am trying to calculate the resultant moment and reaction forces at the two vessel flanges. I've summed the vertical forces, but whenever I try to sum the moments, nothing seems to make sense; I believe the system is statically indeterminate. What would be the best method for solving this problem?

Thanks.

 

[renderu]

I need to say that moment distribution by hand is more than a 10-minute exercise. Closer to an hour or more to double check the tedius algebra.