A pressure relief assembly includes a housing defining an air passage chamber having at least one opening, and a membrane flap secured within the air passage chamber. The membrane flap is configured to move into an open position to expose the opening(s) to relieve air pressure. A plurality of flap-retaining clips securely couple the membrane flap to the housing. Each of the plurality of the flap-retaining clips includes a main body. A housing-connecting tab extends from a first end of the main body. The housing-connecting tab is retained within a retaining channel formed in the housing. Opposed flap-retention wings laterally extend from opposite sides of the main body. A portion of the membrane flap is trapped between the opposed flap-retention wings and the housing to securely couple the membrane flap to the housing.