Design a $50\text{'}$ x $28\text{'}$ floor system with a central beam. Use spruce$-$pine$-$fir #$2$ for the floor joists, $16"$ on center. Size the girders $($beams$)$ for a combined live and dead load of $50$ PSF and a span of $10$ feet between posts.

$1.$ How many joists are required? Show your work.

$2.$ How many linear feet of band joist are required? Show your work.

$3.$ What size joists are required? Give all three dimensions.

$4.$ How many sheets of sub$-$floor are required to deck it off? Show your work.

$5.$ What size glulam beam is needed?

$6.$ What size built up beam is needed?

$7.$ Make a sketch of the walls, showing dimensions where necessary. Sketch the center beam. Show the locations of the posts and show the direction of the joists. $($It is not necessary to show every joist.$)$