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Bathroom vent/drain system
I've added a master bath onto my house. I've sketched up the diagram below for the vent and drain system. While it's not exactly to scale there's crawlspace room to accommodate it, and the floor joists run parallel to the drain lines from toilet/tub/shower traps to drain line so this could be achieved without cutting joists.
I live in South Carolina and my local permit office has the IPC plumbing code on hand for reference. The distances as marked between the trap weirs and vent are overstated by 3 to 5 inches (meaning the actual distance is slightly LESS than the 6' and 5' measurements listed). I'll use mostly combo tee/wyes for the connections.
Are there any issues/problems with the system as drawn relating to pipe sizing/venting or distances from trap to vent? I realize the 2" vertical vents and 3" horizontal line for the tub/shower/sink is overkill (versus 1.5" vents and 2" drain) but I have those PVC pipe lengths on hand and would like to try to utilize it if possible (i.e. budget reasons).
Thanks in advance for any constructive comments/feedback.