Wyoming III

The Wyoming III: Fuzzy Math with Roof Pitch

Yesterday, we introduced a new style into our Vacation House Styles, the Wyoming III.  First of all, a little bit of truth.  This isn't a new style at all.  That said, let me explain a bit more.

The Wyoming III is new to the website, and it was decided to add it because we've actually built variations of this house style quite a few times.  Every build of this has been completely custom, so no, we have not built "The Wyoming III", but it was pretty close.  The most common thing seen when other home owners built this house through us was reversing the dining and kitchen areas.  Honestly, this is such a beautiful home, with a charm unlike many others.

Let's start with the huge vaulted ceilings which are a 12/12 pitch.  

Fuzzy Math Time

When referring to the pitch of a roof, you often hear it referred to as a something/something roof.  The most common are 7/12 and 12/12 pitch roofs.  What this means is, for example a 7/12 roof, for every 12 inches you come in, the roof rises 7 inches.

See this example below for a more graphical representation of what this means:

Roof Pitch Chart

The red line is a 7/12 pitch roof, and the green line is a 12/12 pitch roof.  

So coming back to the Wyoming III, which has a 12/12 pitch roof, let's continue on our math quest.

Looking at the drawing of the Wyoming III, it states that the width of the Great Room is 26' 5".  Since the roof sets on the outside edge of the wall, each exterior wall is 6" so the roof will sit on top of a 27' 5" span.  To find the height of the roof, we figure half the width of the room, divide in half to get the center point of the space (in our case 13.75 feet) then calculate the rise as 13.75 feet + 8 feet for the walls.  We know the rise is 13.75 feet because it's a 12/12 roof, so whatever it comes in, it also goes up equally (also referred to as a 1 to 1 or 1:1 ratio).  So standing in the Great Room, your vaulted ceiling will be "exactly" 21.75 feet up from the floor.

For the math geeks:  Let's just assume it wasn't a 12/12 roof, but instead a 7/12 roof.  That would mean that for every 12 inches it came in, it would rise 7 inches.  Using the same floor plan, the center of the room is 13.75 feet (13' 9") and the rise is 7 inches for every 12 inches in, or 0.583 feet for every 1 foot.  Taking those numbers, it's 0.583 rise (7") multiplied by 13.75 feet in (13' 9"), or about 8.01 feet total.  Add the 8 feet for the walls, and you are now looking at a vaulted ceiling that is almost exactly 16 feet high.  This still leaves for an impressive look, but effectively gets rid of the second floor loft, as there would not be enough room to stand once it was built.

If this is confusing, please call.  This is something that might be easier to explain verbally.

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