Most building and household debris loads without trouble. The limits come from the state's disposal bans and from what the receiving site will take.
Massachusetts bans a long list of materials from disposal, and several of them turn up on a job site: asphalt pavement, brick and concrete, clean gypsum wallboard, scrap metal, cardboard, mattresses, textiles and large appliances. Treated and untreated wood and whole tires are banned from landfills alone, and shredded tires are fine. Banned does not mean you cannot throw them out. It means they have to be pulled out and recycled instead of buried, which is why your load goes to a sorting plant.
Hazardous waste, liquids, paint, solvents, fuel and asbestos stay out of a standard container in every case. Old televisions and monitors need their own route as well.
The City is firm about construction material in its own system. Revere will not collect construction or demolition debris at the curb, and its yard will not accept windows, doors, concrete, wood bundles or drywall on drop-off Saturdays. A roll-off container is the practical answer for all of it.
When you are unsure about an item, ask your account manager before it goes in.