A snap-action valve assembly for an exhaust system includes a valve flap positioned within a conduit. A shaft supports the valve flap in the conduit for rotation about a pivot axis between a closed position and an open position. A roller is supported for rotation on a post. The post is fixed to the shaft by a lever arm. A torsion spring includes a first end coupled to the conduit and a second end coupled to the roller. The torsion spring is preloaded to urge the valve flap into contact with an inner surface of the conduit when the valve flap is in the closed position. A method of assembling the snap-action valve assembly with a predetermined spring preload torque is also discussed.