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Angle of Bottom Sill on Bottom Sloped Window

Bottom Sloped Window

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#1 RUSSELL LITTEN

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Posted 19 February 2024 - 01:51 PM

Monday's challenge question:

 

Anyone remember or know the trig formula to figure out the bottom sill angle for this window???

Roof is 12/12 pitch and the wall angle is 45 deg.

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#2 Steve and Carla Farnam

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Posted 19 February 2024 - 02:38 PM

Monday's challenge question:

 

Anyone remember or know the trig formula to figure out the bottom sill angle for this window???

Roof is 12/12 pitch and the wall angle is 45 deg.

A hip 12/12, 35.27 Degrees



#3 Keith Almond

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Posted 20 February 2024 - 09:10 AM

Steve, you lose points for not showing your working out, but I concur 35.27°

 

√(12² +12²) =16.97

 

Tan x =12/16.97 = 0.7071

 

Arctan x = 35.27°


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#4 Steve and Carla Farnam

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Posted 20 February 2024 - 10:54 AM

Steve, you lose points for not showing your working out, but I concur 35.27°

 

√(12² +12²) =16.97

 

Tan x =12/16.97 = 0.7071

 

Arctan x = 35.27°

Exactly Keith, the 12/12 on  a horizontal plane yields a diagonal of 16.97 using Pythagorean's theorem. the 16.97" is now the run on the hip 12/12, 16.97" run with rise of 12"  yields the new triangle diagonal of 20.8125" resulting in an 8.5/12 pitch/ 35.27 degree angle. I pulled the angle from memory after 50+ years of almost all hand framed roofs, minimal trussed roofs. Did not get real deep into the Tangent Formula with opposite /adjacent yielding the tangent and then converting the tangent-arc tangent- degrees. All good fun!! Enjoy a Fantastic Day!!


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#5 Allen McDonnell

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Posted 20 February 2024 - 11:09 AM

I smell a competition brewing.

 

You guys can meet for coffee and get crackin....

 

https://en.wikipedia..._in_mathematics


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#6 Steve and Carla Farnam

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Posted 20 February 2024 - 11:17 AM

I smell a competition brewing.

 

You guys can meet for coffee and get crackin....

 

https://en.wikipedia...blems_in_mathem

I may have to just break out the speed square and reference the hip/valley line, save the pencil lead and calculator batteries!  :)



#7 RUSSELL LITTEN

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Posted 20 February 2024 - 11:46 AM

I really wasn't expecting to get any responses to my question. WOW was I wrong as usual. 

 

Thanks to Steve, Carla,Keith and Allen for your input.

 

Let's all take this as a lesson never make a wager with your challenges on SPLASH!  TOO MANY SMART PEOPLE!!!

 

Thanks Again to All

 

Russ


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#8 Keith Almond

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Posted 20 February 2024 - 12:13 PM

I may have to just break out the speed square and reference the hip/valley line, save the pencil lead and calculator batteries!  :)

 

I've no idea how to use a speed square ... I've piloted a desk all my life. Had to rely on my math memory, which to be fair, isn't good.


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#9 Bill Wimberley

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Posted 21 February 2024 - 09:38 AM

My grandfather taught me how to do this with a framing square a long time ago. Use the roof pitch on one side and 17" on the other side. Back before calculators existed.
 

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#10 David Zawadzki

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Posted 21 February 2024 - 11:03 AM

My grandfather taught me how to do this with a framing square a long time ago. Use the roof pitch on one side and 17" on the other side. Back before calculators existed.
 

 

What do you mean by, "before calculators existed"?  I remember doing college chemistry and Trigonometry with this calculator:

 

https://en.wikipedia...wiki/Slide_rule

 

And the batteries never needed charging...   :)


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#11 Steve and Carla Farnam

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Posted 21 February 2024 - 12:03 PM

My grandfather taught me how to do this with a framing square a long time ago. Use the roof pitch on one side and 17" on the other side. Back before calculators existed.
 

Yes, I used and still use my Grandfathers framing square in my mid 70's with all the tables, and have used the pitch/17 for years. Updated my reference to the speed square to try and keep up with the times

for those that are not familiar with all the brace, jack, common and hip etc tables on the framing square, one handy tool.


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#12 Bill Wimberley

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Posted 21 February 2024 - 02:25 PM

What do you mean by, "before calculators existed"?  I remember doing college chemistry and Trigonometry with this calculator:

 

https://en.wikipedia...wiki/Slide_rule

 

And the batteries never needed charging...   :)

The first handheld calculator was the Cal-Tech which came out in 1967. In 1967 I was 8 years old and working for my grandfather in his woodshop building cabinets. I also helped him build an addition to his house and he taught me to use a framing square to figure out the rafter cuts. So, when in 1967 the Cal-Tech came out would determine whether my statement was totally accurate.  :D


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#13 Allen McDonnell

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Posted 22 February 2024 - 08:07 AM

WOW...this feed is brutal....really have to walk gingerly. 






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