He had travelled through a green light and approached the pedestrian crossing with the vehicle's bucket 1.2m off the ground.
A car heading in the opposite direction stopped to let the victim cross the road and she was halfway across when the bucket hit her neck.
Beckingsale had not seen her.
He stopped immediately and an ambulance was called.
Police at the scene said Beckingsale was clearly remorseful and visibly concerned for the woman's welfare.
She spent several days in hospital with a break to her C2 vertebrae and court documents said she was in a neck brace for months.
Duty lawyer Ann Leonard stressed Beckingsale was travelling slowly at the time and slammed on the brakes as soon as he was aware of the collision.
Community magistrate Simon Heale acknowledged there was nothing malicious or reckless about the accident.
"Significant consequences can be caused by good people intending no harm, that's what happened here," he said.
Heale ordered Beckingsale pay the victim $1500 and banned him from driving for six months.