This is part 1 in Apprentice Carpentry Roof Framing Geometry for the Americans and maybe the Canadians.
Roof framing geometry is empirical-type knowledge.
Information gained by means of observation, experience, or experiment.
It will take more than just reading to understand roof framing geometry. You'll need to draw out the roof framing geometry. Preferably on 4x8 sheets of plywood or mdf to gain the experience you will need to compete in the apprentice carpentry competition. You'll need a compass, straight edge and framing square. Yes, you can use your calculator in the apprentice carpentry competition, but you'll also have to draw out the roof framing geometry as well. Just like they did 100+ years ago.
I suggest getting a 6" and 16" compass like these compasses from Lee Valley.
While your at Lee Valley you might as well order a Chappell Framing Square
First up, The Basic Roof Framing Kernel
This is a plan view of a roof framing kernel with the section view drawn above the plan view.The plan view is also referenced as the ground plan. The real roof surface angles and lengths are located by drawing an arc (radius=common rafter length) at the apex of the common rafter run (point D) in plan view. The common rafter is also called the principal rafter.
F-E = Common Rafter Plan View Run
A-E = Hip Rafter Plan View Run
P-R = Jack Rafter Run
E-H = Common Rafter Real Surface Rise
F-H = Common Rafter Real Surface Length
A-G = Hip Rafter Real Surface Length
R-S = Jack Rafter Length
Angle FAB = Eave Angle
Angle EAB = Plan Angle
Angle EFH = Common Rafter Slope Angle
Angle GAE = Hip Rafter Slope Angle
Angle NCD = Roof Sheathing Angle
Angle DNC = Jack Rafter Side Cut Angle
The next 2 drawings are the basic roof framing kernel drawn in Google SketchUp. The basic roof framing kernel is drawn unfolded and folded up into 3D roof surfaces of the roof framing kernel. This is also a good example of swing an arc to establish the points of the real roof surfaces.
Here's a link to the Google SketchUp file Basic Roof Framing Kernel.
This is a plan view of a roof framing kernel with the section view drawn above the plan view.The plan view is also referenced as the ground plan. The real roof surface angles and lengths are located by drawing an arc (radius=common rafter length) at the apex of the common rafter run (point D) in plan view. The common rafter is also called the principal rafter.
F-E = Common Rafter Plan View Run
A-E = Hip Rafter Plan View Run
P-R = Jack Rafter Run
E-H = Common Rafter Real Surface Rise
F-H = Common Rafter Real Surface Length
A-G = Hip Rafter Real Surface Length
R-S = Jack Rafter Length
Angle FAB = Eave Angle
Angle EAB = Plan Angle
Angle EFH = Common Rafter Slope Angle
Angle GAE = Hip Rafter Slope Angle
Angle NCD = Roof Sheathing Angle
Angle DNC = Jack Rafter Side Cut Angle
The next 2 drawings are the basic roof framing kernel drawn in Google SketchUp. The basic roof framing kernel is drawn unfolded and folded up into 3D roof surfaces of the roof framing kernel. This is also a good example of swing an arc to establish the points of the real roof surfaces.
Here's a link to the Google SketchUp file Basic Roof Framing Kernel.
In part two of Apprentice Carpentry Roof Framing Geometry we'll add the hip rafter backing angle to the basic roof framing kernel.
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