In Minnesota the Seasonal Road Restrictions start usually in the middle of March and last until the middle of May. The main State highways are mostly ok with normal 9 ton per axle legal loads, but the secondary, county and municipal, highways and gravel roads are more restricted... County blacktops in my area are between 5 and 7 tons per axle, and the gravel roads are usually 4 or 5 tons per axle. Signs posted on individual roads can be even lower than these general limits.
These limits are rigorously enforced, and for good reason; an overweight truck can do a lot of damage to a highway while the supporting underbase is basically jello while the frost is coming out.
I looked on the DOT website and it seems that school buses, garbage, and milk trucks, etc. have exemptions.
https://www.revisor.leg.state.mn.us/statutes/?id=169.87