Lumber, drywall, plaster, shingles, flooring, cabinets, and household junk are all normal container loads. The limits here come from Wisconsin's recycling law and from what each facility will take.
Wisconsin is strict about this. State law bans a long list of materials from being landfilled or burned anywhere in the state, in homes and businesses alike. That list covers corrugated cardboard, glass, metal cans, plastic bottles and jars coded 1 and 2, newspaper and office paper, electronics, lead acid batteries, major appliances, used oil filters, waste oil, tires, and yard waste such as grass, leaves, and brush under six inches thick.
In practice, keep appliances, televisions, computers, batteries, and tires out of the container and tell us about them when you book. Yard waste needs its own route too, since it can't go to a landfill.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos are off limits in any standard container. South Milwaukee sends residents to the Milwaukee Metropolitan Sewerage District collection events for household chemicals, and that program won't take ammunition, gas cylinders, fluorescent bulbs, or tires either.
When you aren't sure about an item, ask your account manager before it goes in the container.