by Jerry Peck - Codeman on Fri Oct 22, 2010 8:28 pm
Not as you describe it.
Cantilevered joists are only allowed to be cantilevered a maximum of 1/3 of their rated span length, and that rated span length is with the joist over one span, two supports.
For example: Let's say you have a joist which has a span rating of 12 feet (between bearing points) over two supports. That means the joist would only be allowed to be cantilevered out 4 feet (1/3 of 12 feet), and only if the remaining length were over two supports, i.e., the joist would have to stick into the structure a minimum of 8 feet, and be supported at the wall where the cantilever starts and at the inward end of the joist 8 feet in.
Now back to your project: If you wanted to cantilever out 9 feet, the joists would need to have a span rating of 27 feet, and a minimum of 18 feet of the joists would need to be inward of the wall/beam where the cantilever starts. Finding lumber large enough for a 27 foot span will be hard enough, finding lumber in lengths long enough to do what is needed will be even more difficult. That would leave you with using engineering joists, such as glulams or LVLs (and the glulams or LVLs would need to be treated for use outdoors) in the size and lengths necessary to accomplish what you want.
Now, an engineer could run the numbers and do the calculations which may permit using smaller lumber and shorter spans, engineers are allowed to do that. Constructing a structure from the code book as though it was a cook book does not allow for those choices.
Jerry Peck - CodeMan
AskCodeMan.com
Construction Litigation Consultant - Retired
Construction and Code Consultant - Semi Retired