Most construction and cleanout debris can go in your container. The limits come from Oregon's landfill bans and the rules at the facility that takes your load.
The Oregon Department of Environmental Quality says it's illegal to dispose of several items at any landfill in the state. The list covers old or abandoned vehicles, large home and industrial appliances, used oil, tires, lead-acid batteries, and computers, monitors, and TVs.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster either. Metro warns that customers can face fines or the cost of asbestos testing and removal if asbestos is dumped at its transfer stations.
Metro South has its own hazardous waste facility for household paint, chemicals, and similar items, with separate hours. Pull those items out of your pile before you load.
If you're unsure about anything, check with your account manager before it goes in the container.