Most household and construction debris is fine. The limits come from Kansas disposal rules and the facility that takes your load.
The Kansas Department of Health and Environment spells out what doesn't count as construction debris in its construction and demolition waste guidance. That list includes friable asbestos, household garbage, tires, drums, appliances that still hold refrigerant, and electrical equipment with hazardous parts. The state also says TVs, computer monitors, and stereos don't count as furniture or appliances. Bagged leaves and grass clippings aren't accepted at those landfills either.
Some older building materials have a narrow path. Floor tile, siding, and roofing with non-friable asbestos can be landfilled if they stay intact, are kept wet or covered, and are declared ahead of time.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster. Olathe residents can take household hazardous waste to the City's drop-off on S. Robinson Drive.
If you're unsure about an item, ask your account manager before you load it.