Posted by 550Doug on May 17, 2015 at 17:48:01 from (167.88.138.254):
In Reply to: Rafter Math Question posted by in-too-deep on May 17, 2015 at 16:52:41:
Quoting Removed, click Modern View to see
Use Pythagorean theorem.
A 5/12 roof gives a hypotenuse of 13, so for a 32 wide building the right triangle will measure 16 by 6.666 since each side is expanded by factor 4/3. This means that the hypotenuse of 13 will also be expanded by factor of 4/3 giving 17.333 as the length of steel you have. Making this 17.333 as the hypotenuse of a 4/12 triangle will give sides of 16.44 and 5.45 thus making the new 4/12 rafter 32.88, so you only gain about 10.6 inches.
Of course the overhang on both buildings would be identical using these numbers.
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