"designed a project" is correct and usable in written English.
You can use it when talking or writing about someone creating a plan for a task or job. Example: The architect designed a project to restore the old building.
Case designed a project with them, which got approved.
The Open Source Beehives (OSB) project, for example, has designed a project enabling anyone concerned with bee decline to become an active contributor towards finding a solution.
In light of that responsibility, we have designed a project that will provide economic benefits to the nation while safeguarding its natural resources.
She designed a project with that in mind and received a two-year Equal Justice Works fellowship and an assignment at the Bronx Defenders.
The work he loves is in art and design — he once designed a project for the Smithsonian — but what usually pays the bills is physical labor or mechanical work.
For the Exposition Universelle in 1889, which left us the Eiffel Tower, Garnier designed a project called "L'Habitation Humaine," with a variety of "typical" habitats, from Gaulois cabins to Russian houses, African huts and so on.
So we had to design a project to address the real issues of Oberlin and provide a tangible social value.
A recent report from the Humanitarian Innovation Project brought refugees in to design a project researching the economic status of different groups in Uganda.
"We're interested at the end of the day in designing a project that is as satisfactory as possible," he said.
The Skidmore firm is in competition with itself in the perpetual world's-tallest race, since it is also designing a project known as Burj Dubai in Dubai.
Dr. Miller is now designing a project to study humor more clinically to determine the mechanisms of body chemistry alterations by laughter.
