I am building a chalet style house with a 14/12 pitch roof. There will be
triangle shaped windows near the peak and I want them to follow the roof
pitch. The face or prow of the house with be angled back 15 degrees on each
side so my question it will the windows look right if they are 14/12 or does
the angled back face of the house cause a geometric problem. I similar house
can be seen here.
The geometry will cause a problem. To convince yourself, imagine to rotate
out the walls with the triangular window, as you do this, the height of the
triangle gets smaller and smaller until it vanishes when the walls are
rotated a full 90 degree.
The slanted side of the triangle would match the roof pitch if the wall was
simply straight, the slant disappers if the wall is at 90 degree because now
it meets the roof eve jutting out straight. At intermediate angles, the
triangle is intermediate from 14/12 to 0/12.
Hope this is clear.
So how could I calculate what pitch window will follow the roof pitch when
the each side of the face is set back 15 degrees.
Or actually what roof pitch will match my 14/12 windows which I now have
because the brilliant draftsman didn't foresee this problem. Thanks for you
The windows rise 14" for every 12" sideways they run.
Since they're 15 degrees out of plane, then the horizontal component
will cos(15) * run of the window, or .9659.
So the matching roofline would be very close to 29/24
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