Framing, drywall, flooring, roofing, cabinets, doors, fixtures, furniture and general cleanout debris are all ordinary Coppell loads. The exclusions are a mix of hazardous waste law and what the city's own rules treat as unacceptable.
Keep out of a Coppell container: paint, thinners and solvents, part-used aerosols, pesticides, pool chemicals, antifreeze, used motor oil and filters, gasoline, propane and other pressurized cylinders, every kind of battery, fluorescent tubes, electronics and whole tires. The city's rules put hazardous waste, special waste and untreated medical waste in their own category of unacceptable waste that the franchised service will not take at all, and they make the occupant and owner responsible for getting that material handled properly.
The property maintenance rules add a practical condition rather than a ban. Trash has to be inside the container and below the overfill line. An overloaded roll-off is a code problem in Coppell as well as a transport problem, and a container that cannot be tarped will not be collected.
One more point of local detail: scavenging is prohibited outright, and nobody other than the authorized hauler may search through or remove material from a container. If you are hoping someone will take the scrap metal out of the load, that has to be arranged before the container is filled, not after.
Pull restricted items before loading rather than after. One refused item can turn a whole container back, and your account manager can say where each of them goes.