Flap actuation systems for aircraft are described herein. An example flap actuation system includes a fixed beam coupled to and extending downward from a fixed wing portion of an aircraft wing and a rocking lever plate pivotably coupled to the fixed beam. The rocking lever plate is coupled to a forward end of a flap bracket disposed on a bottom side of a flap of the wing. The flap actuation system also includes a crank arm, a crank rod coupled between the crank arm and the rocking lever plate, and a flap link coupled between the rocking lever plate and an aft end of the flap bracket, such that actuation of the crank arm pivots the rocking lever plate to move the flap between a stowed position and a deployed position relative to the fixed wing portion.