It would house two production lines – one to manufacture housings from aluminium castings and the other to produce gears from steel bar – creating approximately 10,000 pieces per month.
The proposals added that Boeing hopes to be producing parts "no later than January 2019".
"The planning application identifies that Boeing may choose to develop the site in two phases to meet their production demand and output," it said. "Phase one is slightly larger than 50 per cent of the overall development, providing all social and support spaces as well as half production space."
At the time of the initial announcement in February, Sir Michael Arthur, president of Boeing Europe and managing director of Boeing UK and Ireland, said: "The UK provides Boeing with the talent and infrastructure we need to grow and maintain a high level of productivity and quality to meet our significant order book.
"We are proud to expand our relationship with the UK still further with Boeing Sheffield. Our decision to start manufacturing high-value components in the UK is a step-change in our engagement and a further example of Boeing's commitment to grow here, supporting the UK's long-term prosperity."