Ice dams form when heat from your living space escapes into the attic and warms the roof deck. Snow on the warm part of the roof melts, runs down to the cold eave that hangs past the heated wall below, and refreezes into a ridge of ice. Water then pools behind that ridge and backs up under your shingles and into the house. The root cause is almost always inadequate attic insulation and ventilation — not the snow itself.
Twinsburg makes this worse in two ways. Heavy Lake Effect snow off Lake Erie piles up fast, and a lot of the local housing stock — especially homes built before 2000 — has compressed attic insulation and weak soffit ventilation that lets too much heat reach the roof deck. The fix isn't fighting the weather; it's keeping the roof deck cold so the snow melts evenly and drains.
It takes three things at once: snow on the roof, a roof surface warm enough to melt it, and an eave cold enough to refreeze it. When the top of the roof sits above 32 degrees while the overhang stays below freezing, meltwater runs down and freezes at the edge — building the dam a little more with every melt-and-refreeze cycle. Snow by itself doesn't do it; a cold, evenly cold roof sheds snow without a problem.
The heat that warms the deck comes from specific leaks: gaps around recessed can lights, an unsealed attic hatch, plumbing and duct chases, and thin or compressed insulation. A quick tell is frost on the roofing nails in your attic, or ice forming at the ridge vent — both mean warm, moist air is reaching the deck. Fix the heat loss and the ventilation and you remove the cause, instead of paying to chip the symptom off the roof every winter.