Simmons Tire Co., Inc. Share: Automobile / Sales, Rental, Service, Tires, Parts Simmons Tire Co., Inc. Visit Website 612 East 2nd Street Sheffield, AL 35660 (256) 381-2333 (256) 381-6299 (fax) About Map About Retail tire and repair center doing many types of mechanical repairs thru medium truck sizes. Tire retreader for 32 years for large truck application, Large truck alignments and repairs along with car What's Nearby? Distance: 5 10 15 20 25 50 mi.