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What is the angle of a fire cut of a floor joist?
30 degrees
What size micro lam beam is needed for a 16 foot span supporting a floor with 8 foot joist on either side of it?
That really cannot be answered without looking at the entire set of plans.
How to build a platform over a sharply sloped floor?
How much slope and how long of a run? For short distance, up to 12 feet, and 12 inches of drop, you cut a 2x12 at the right slope and use them for the floor joist. For longer runs or greater slope, Use 2x6 level and use 2x4 legs under them.
Building a stairwell what are dimensions?
that would depend upon the distance between floors. with a distance of approx. 9' it would be around 37" wide and 8' long. The floor to floor height is only 1/3 of the solution for figuring out the stairwell length. That, with the tread, will give you the angle of the staircase. The less slope of the stairs, the bigger the well size needs to be for headroom clearance at the bottom. The other thing that needs to be figured in is the thickness of the floor system. The taller the joists, the sooner you'll hit your head and so the stairwell will need to be longer. For instance, 7 3/4"riser, 10"tread and 2x10 joists the well size needs to be 118 1/2" from the stair nosing edge to the head joist. For 2x12 joists it's 121". You'll need to add a little to this depending on how you hang your stingers for the actual framing of the stairwell. Check out stairwell-lengths.com for a book on all stairwell lengths for every angle and joist size.
There is a 2 by 8 running the whole length of your celling and right where your new skylights are can you cut it and sister it to the roof?
No. You need to support it, cut it and use 2 x 2x8s to tie back into the two joists next to it on each end. Use double joist hangers. By code you would also have to double the joist (s) you installed the hangers on... That is not always possible.
