Follow an existing and successful design. New designs that use more than enough material often fail because of design flaws. Otherwise, the whole process is somewhat trial and error, not a calculation issue. Yes, we know how strong wood can be, but a design flaw can cancel that out.
Wood properly structured can easily hold that much weight. But placing the fasterners or supports in the wrong way can often doom something that otherwise looks fine. People often discover that after a catastrophic failure. Even professionals make that mistake too often (which is why some buildings collapse or structures fail.)