What is the maximum cantilever on a 2 inch by 8 inch piece of doug fur?

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it depends upon spacing, grade of lumber and what the "load" above would be as well as use of the room, generally speaking though a #2- 2 x 8 :
@ 12"o.c.- 13'11"
@ 16"o.c.- 12'7"
@ 24"0.c.- 11'0"
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