Framing lumber, drywall, cabinets, shingles, flooring, and household cleanout debris all load normally. The refusals come from Indiana's landfill rules and from the receiving facility.
The Indiana Department of Environmental Management publishes the list of what a municipal landfill must not accept: hazardous waste, certain PCB waste, untreated infectious waste, whole tires, lead-acid batteries, mercury switches, improperly handled asbestos material, and appliances that still hold refrigerant. Yard waste is limited too unless it comes from a home or is bagged properly.
Tires get special attention. The same agency notes that landfills cannot accept whole tires and that disposal sites may refuse tire material outright. A tire retailer has to take your old tires when you buy new ones, which is the simplest fix.
Paint, solvents, fuel, motor oil, and propane cylinders stay out as well. Portage sends household hazardous material to the Porter County Recycling and Waste Reduction District, which runs collection events in town and takes material at its own sites.
Appliances with refrigerant and loose tires usually carry a per-item charge rather than a weight charge. Mention them to your account manager up front and the price won't move later.