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3" vtr

2006 IRC section P3103.2. I think is what you are looking for. The 3 inch is required through the roof for frost protection at a design temp of 0 deg F.
 
I can't find the section, and maybe it was UPC, but the vent cross-section must be equal to or greater than the building sewer.
 
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Regarding Vent Stacks [ from the `06 IRC ]:



`06 IRC, P3102.3 - Size:

"The required vent shall be sized in accordance with Section P3113.1 based on the required

size of the building drain."



`06 IRC, P3113.1 - Size of Vents:

"The minimum required diameter of individual vents, branch vents, circuit vents, vent stacks

and stack vents shall be at least one-half the required diameter of the drain served........The

required size of the drain shall be determined in accordance with Chapter 30...................Vent

pipes shall be not less than 1¼ inches (32 mm) in diameter.....................Vents exceeding 40

feet (12,192 mm) in developed length shall be increased by one nominal pipe size for the

entire developed length of the vent pipe."



'06 IRC, P3102.1 - Required Vent Extension:

"The vent system serving each building drain shall have at least one vent pipe that

extends to the outdoors."

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