Most construction and household debris is fine. The limits come from Oregon law and from the regional transfer station that weighs the load.
Oregon runs a real ban list. The state says it is illegal to dispose of these at a solid waste disposal site: discarded or abandoned vehicles, large home or industrial appliances, used oil, tires, lead acid batteries, and computers, monitors, and televisions. The appliance category covers water heaters, refrigerators, stoves, dishwashers, washers, and dryers.
Metro's own refusal list is the one that catches roofers. The transfer station cannot accept asbestos-containing material, flat or built-up roofing, burned material or wildfire ash, loads of liquids, petroleum-contaminated soil, radioactive metals, electric vehicle batteries, or vehicles. Metro warns that anything left at the site becomes the customer's responsibility and that asbestos testing and removal costs can run into the thousands.
There is also a sorting point worth money. Clean wood means raw dimensional lumber, pallets, and packing crates, free of paint, stain, or varnish and free of strapping and labels. Plywood, strand board, particle board, laminated wood, and paneling are all billed as garbage instead.
If something on the job is borderline, ask your account manager before it goes in.