Ceiling Question on Converting Garage to Living Space

First of all, thanks to all the contributors to this forum, as I've browsed it a lot while planning and starting this project. This paragraph is background, so feel free to skip to the next if you just want to get to the heart of the issue. My wife and I recently bought a house with a 24' x 15' attached garage and huge 2-car detached garage. Not needing that much car/storage space, we decided to convert the attached garage to living space. We went through all the planning, got a building permit, started the project and had our first inspection (for an insulated floating subfloor we put in, framing in the garage door opening and adding an exterior door) today. Everything we've done passed fine, but the inspector saw what we had started with the ceiling and said it wouldn't be up to code the way we'd planned to do it.

The room currently has 2x6 joists 48" on center. There is also a row of 2x6 joists running perpendicular to these, between them down the center of the room. You can kind of see this in the blurry first image below. To ready the ceiling for hanging drywall, our plan was to run additional 2x6 joists at 24" in each space, attaching them to the center row of joists and then either resting them on the top plate or attaching them to the opposing wall, depending on which side of the garage we're looking at. We did the first one and you can see it in the second image below. For the ends of the room, the slope of the roof make it impossible to do this, so we just ran 2x4s 24" on center from the nearest joist, resting them on the top plate of the wall frame, as shown in the third image.

The inspector said there was no problem with what we did with the ends, but said how we were putting up the 2x6s 24" in the current 48" gaps wouldn't pass inspection. He wouldn't offer any insight into what we were doing wrong and seemed to have a problem with do it yourself projects in general. So basically, we're trying to figure out how we can do the ceiling and have it pass inspection. We're doing this project on a pretty tight budget and have only planned on spending money on a professional for the electrical work (no plumbing is involved). Any insight would be much appreciated.

Here are the pics:

 

Welcome to the forums!

That center 2x that you've attached the joist hanger to needs to be doubled up. I'm not sure if you can just add them as needed between joists or if it needs to be a continuous board. The carpenters should be along shortly

 

So I've continued to look at options and do research, and am wondering if this might work... We're already walling in a closet around our furnace and water softener. One of the walls for that will run under three of the four 48" gaps, so I'm thinking we could just take out the current center joists and run continuous 2x6s from the top of the existing exterior wall to the top of the new closet wall to bring the spacing down to 24". In the area where the last 48" gap is, we were already kicking in framing in a wall against the existing wall, as that's likely the easiest way to be able to install wiring there, since the existing wall is brick.

Is there any obvious reason the above wouldn't work? Any special considerations I'd want to keep in mind to make sure it meets code? Any informed input is much appreciated.

 

Ceiling sheetrock will sag if not properly supported - 16" on center structure and you can use 1/2" rock, with 24" on center structure you need to use 5/8" rock and that stuff is heavy.