What a 16 by 12 foot deck takes
Twelve feet of depth is 144 inches. A deck board is 5½ inches wide, not the 6 inches it is called, and it is laid about ⅛ inch off its neighbor, so each row covers 5⅝ inches: 144 ÷ 5.625 is 25.6, and the deck takes 26 rows. Twenty-five rows would leave 3½ inches of joist showing. Each row is one 16 foot board, so that is 26 boards, 29 with 10% for cuts and culls.
The joists run the other way, 16 inches apart along the 16 foot house wall: 13 joists. With the beam set as far in as the guide allows, they span 10 feet and reach 2 feet past it — a 2×8 in Southern Pine spans 11' 10" at this spacing, so a 2×8 is the size. The beam carries 16 feet on 3 posts, 8 feet a span, which a doubled 2×12 makes. Each post stands on a 20 inch round footing 8 inches thick: 4.36 cubic feet of concrete in all, eight bags.
Where the numbers come from
Every lumber size on this page is read off a table in the American Wood Council's Prescriptive Residential Wood Deck Construction Guide, DCA 6-15, not guessed from a rule of thumb. Joist spans and overhangs are its Table 2, beam spans Table 3A, footing sizes and post heights Table 4, and the ledger bolts Table 5. The tables assume 40 psf live load, 10 psf dead load, No. 2 grade and wet service — an ordinary residential deck. Change the species under Assumptions and the tables change with it: the guide gives Southern Pine, the Douglas Fir group and the cedars and redwoods each their own numbers, and we do not average them.
The panel under the result says whether each one passes, with the clause beside it. A fail does not stop the page: you may be building something the prescriptive guide does not cover, and then you want a designer rather than a green tick.
The overhang is set as far out as it is allowed to go
Pushing the beam in shortens the joist span, and a shorter span buys a shallower joist, a shorter beam span and a smaller footing. So the beam is set so the joists reach past it by the most the guide permits — the lesser of the table's overhang and a quarter of the span. On this deck that is 2 feet out and 10 feet of span. Make the deck deeper and the overhang grows with it until the table's own figure stops it.
What this does not do yet
The footing concrete is the pads only: a pier or a tube form from the pad up to the ground is extra, and so is whatever your frost line adds below it. Type your frost depth under Assumptions and the hole depth follows it. An L-shaped deck, a deck on more than one level and a deck on sloping ground are not worked out here; a rectangle at a time is, and several rectangles can be one project. Decks need a permit nearly everywhere, and your building department decides — we are not connected with any maker, store or supplier named here.