I'm thinking of rigging aerial yoga on my ceiling. Basically I need to screw two eye bolts into the ceiling that can support my body weight.

I don't know how ceilings are constructed. I assume there are many 2x4s going across. Is this as simple as finding a stud and screwing two eye bolts into it, or do I have to worry the stud flexing under weight and cause the ceiling sheetrock to crack?

 

I would want to go into the attic or crawl space and reinforce the joist you screw into. I lot depends on the weight and movement you decide to put on the ropes or whatever you use.

 

Studs won't help you. They are in the walls. You need to look for ceiling joists as suggested.

 

Is there another habitable room above this ceiling or is it the attic? How old is the house? Most houses built in the last thirty years or so use trusses to hold up the roof. If you have attic above you MUST determine if you have truss construction or traditional rafter construction with ceiling joists. Trusses are built with 2x4 material and cannot support any weight beyond that of the plasterboard ceiling.

If you have a room above then the floor of that room will be laid on floor joists which are also the ceiling joists of the room below. Joists are usually 2x8 or wider material although some floors are supported on a manufactured I-beam truss system. IF you have I-beam trusses rather than solid lumber joists again you cannot use them to support a load from below.

 

FWIW...Years ago as my family grew I installed a few eye hooks in an entry way between rooms and hung a swing for the babies. The weight was not much and within the year the kids out grew the swing. But it was great time saver as my wife was able to do misc chores as the babies watched or slept.