Framing, drywall, roofing, flooring, fencing, furniture, and general cleanout junk are all fine. The limits come from California's list of material banned from the trash and from what the county landfill will take at the gate.
California keeps hazardous material out of the garbage entirely. CalRecycle puts paint, solvents, pesticides, pool chemicals, antifreeze, motor oil, batteries of every kind, fluorescent and LED lamps, propane tanks, and all electronics on that list. Televisions, monitors, computers, printers, and microwaves have to go to an e-waste drop-off instead.
Two items catch desert projects out. Treated wood, the green or brown preserved lumber used for fences and planters, counts as hazardous waste in California and cannot ride in a standard container. Tires are not hazardous, but they are banned from the trash and the county caps them at nine per load off the rim, with a fee each.
The county also turns away liquids in any form, sealed drums, hot ashes, medical waste, and anything longer than ten feet. Debris from a structure demolished before 1984 needs asbestos certification before any county site will accept it, and so does anything from a burnt building whatever its age.
When you are unsure about an item, ask your account manager before it goes in the container rather than after.