A steering wheel assembly for use with a ride-on vehicle which has a frame with at least two wheels. The steering wheel assembly comprises a steering rod operatively coupled to the frame of the ride-on vehicle. The steering rod includes a chuck secured to the steering rod. The chuck includes a body extending between a base and an upper end. The steering wheel assembly further comprises a steering wheel with a sleeve adapted to be coupled to the chuck in a tool-less manner such that the steering wheel is configured to be engaged by a rider for moving the steering wheel and thereby steering the ride-on vehicle.