I have a ceiling that is 2x10 joists, 16" on centre, 8' long. Can I put a 1100lb compressor onto it?

I need to figure out the max load for this ceiling to determine whether I can move my compressor ontop of an existing room in an industrial setting.

Answer:
If the load is distributed well enough, it shouldn't be a problem, however I would be more concerned about the vibration loads that the compressor is going to generate.

I have never ever seen a smooth running compressor, and would never ever think of mounting one of mine anywhere but on a ground floor.
That's a lot of weight, but it depends on how may joists you have in the area and how large the area is.
That sounds like too much weight to be supported by ONE joist, but if you build a platform which distributed the weight over 4 or 5 joists, you'd probably be OK.
That may require expert inspection and evaluation (especially if insurance and liability are concerns). For example, are the structural members in sound condition and of good material? How are the members supported? What could fail under static load? What could fail under dynamic load (vibrations)? Can the load be spread? Where is the safest installation location? Near a wall rather than at the center of a joist that tends to bend it more? What (who) would be damaged in case of failure (how expensive). Can additional support be provided? Many questions demand local considerations.

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