This is a kitchen remodel. All the cabinets are out. All the sheetrock is removed from the wall.
Kitchen plumbing has drain coming through kitchen floor several inches from exterior wall. I plan on using this drain. Sink will be centred on a large bay window that is 48 inches wide. The sink cabinet is 36 inches wide centred on the window. The sink is an apron single drain sink. The vent stack, which breaks the plane of the top plate in the wall, is on the right side of the sink and is married to the right of the king stud for the window. The king stud is located 22 inches from the drain in the floor. There is a cripple stud 8 inches to the right of the drain in the floor. All the DWV piping is 1 1/2 inch ABS.
I elected to remove the drywall due to a number of factors and was fully prepared to reattach everything almost exactly as it was when I had taken it apart. If I hadn't have asked one question, I would have and been none the wiser. However, I ended up posting a picture of my dry fit on another forum for a sanity check and it was pointed out that my current setup does not place my vent 6 inches above the flood rim. The original vent was a vertical from a sanitary tee branching from the p trap arm and down into the drain. From that very short vertical it was a short 90 elbow into the wall then once on the other side of the drywall it went to a 90 elbow horizontal all the way over to the stack. The bottom of the vent is 21 inches up from the floor. The cripple stud, the king stud and the left side of the vent stack have been notched to accept the vent. The notches are 2 inches in a 2 x 6 stud. I could possibly replace the cripple stud, but the king stud and the vent stack are not moving.
1) Can I use a 90 short elbow from the top of the drain to get into the wall and then use another 90 to go up the wall?
2) Regardless of how I use elbows to transition from the top of the drain and move the vent into the wall, the bottom of the sill plate on the window is only 42 inches above the floor. That does not seem to meet the parameters required to put a vent 6 inches above the flood rim. The pipe centre line would be at the 42 inch mark to acheive that. Am I correct?
3) If I ended up using an AAV, which I don't even know if I am permitted to, it won't get 6 inches above the flood rim. Secondarily I would have to cap the open end of the vent and I don't know what else it services, and whether or not sealing it would be disaster in that there is the potential for water from an unknown source to get stuck there.
4) Once in the wall, can I use a pair of 45 and 22 elbows (one pair of each on each end to make 2 - 67 degree bends) to create a sloped vent to meet the stack? I thought I may have read that I can only use an angle of 45 degrees or more from horizontal which would cancel that idea.
5) Can I put new notches in the cripple stud, and the married king stud/left side of the vent stack? Does the height of the notches matter? If the vent is not horizontal, the notches will have to allow a non-horizontal vent to be accepted in the wall. My assumption is that the cripple stud is non-load bearing. Initially I thought of drilling a 2 inch hole through but the flanges on the elbows make that not possible.
6) Having exhausted all that, what is the best way to tackle this?
Edit: pictures added