Everyday construction and cleanout material is fine. The limits come from California disposal rules and from what the county landfills accept.
California treats chemically preserved wood as hazardous waste, and tires are banned from the trash outright. Neither belongs in a container.
Riverside County's landfills also refuse radioactive material, explosives, auto shredder waste, nuisance dust, untreated infectious waste from commercial sources, and soil contaminated above state and federal hazardous waste levels. Liquid waste with a moisture content above half is refused except at three named county sites with prior authorization.
Soil has its own rule worth planning around: loads of soil or dirt above 20 tons must be preapproved before they arrive.
Hazardous waste is not accepted at any county landfill, so paint, solvents, fuel and used oil all need a separate route.
If you are unsure about an item, ask your account manager before it goes over the rail.