Va. Code Ann. § 46.2-1127

No motor vehicle or combination of vehicles shall travel on an interstate highway in the Commonwealth with (i) a single axle weight in excess of 20,000 pounds, or (ii) a tandem axle weight in excess of 34,000 pounds, or (iii) a gross weight, based on axle spacing, greater than that permitted in § 46.2-1126, or (iv) a gross weight, regardless of axle spacing, in excess of 80,000 pounds, unless otherwise permitted by the proper authority. If such weights on interstate highways are increased, the Governor, upon recommendation of the Department of Transportation, may authorize the axle and gross weights set forth in this section to be used on interstate highways in the Commonwealth.