Most household and jobsite debris loads without a problem. The limits come from Ohio law and from what the receiving site will take at the gate.
Ohio bans lead-acid batteries, the kind that start cars, boats, and mowers, from solid waste landfills. State law also says you can't mix one in with your trash. Take them to a retailer or a recycling drop-off instead, since a single battery can hold up a whole load.
Hazardous waste, liquids, paint, solvents, fuel, used oil, and asbestos stay out of a standard container as well. The public transfer and landfill station serving the area says plainly that it takes no liquids, asbestos, chemicals, or hazardous waste, and it no longer accepts batteries or oil at all.
Ohio also treats construction and demolition debris as its own category with its own rules, and it keeps clean hard fill separate. Clean concrete, asphalt, brick, block, tile, and stone count as clean hard fill only when there's no wood, shingles, or wallboard mixed in. Keeping that material in its own load is usually cheaper, so plan it that way where you can.
Tires, mattresses, and large appliances are handled piece by piece rather than by weight. Mention them when you book, and ask your account manager about anything you're unsure of before it goes over the rail.