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Dave,
You only want one stringer (saw tooth) out of steel and the thread is cantilevered on both side made of 2" Oak? I am not sure if you can get around the vibration part unless its way over build, but that will look too bulky. I am not an engineer so take that with a grain of salt. I bet if the stringer is made nice and thick with a flange 24" in each direction a lot of the vibration will be eliminated.
The problem is getting your building official to Ok this because they will need to see the engineer's stamp and approval.
Jeff
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