Definitions of Roof Framing Angles
Formulas Examples Diagrams
Framing and Joinery Angle Calculator

W : Angle viewed in plan between Hip eaves or Valley ridges; any value greater than zero up to 180°.
SS : Main or Major side Common Rafter Pitch Angle or Common Rafter Plumb Cut Angle
S : Adjacent or Minor side Common Rafter Pitch Angle or Common Rafter Plumb Cut Angle
DD : Main or Major side Cheek Cut Angle or Saw Blade Bevel Angle to cut along the plumb lines on a Jack Rafter, at the Hip peak or the Valley foot. Angle in Plan or Deck Angle measured between the Main or Major side Hip eave and the Hip run, or the Main or Major side ridge viewed in plan and the Valley run.
D : Adjacent or Minor side Cheek Cut Angle or Saw Blade Bevel Angle to cut along the plumb lines on a Jack Rafter, at the Hip peak or the Valley foot. Angle in Plan or Deck Angle measured between the Adjacent or Minor side Hip eave and the Hip run, or the Adjacent or Minor side ridge viewed in plan and the Valley run.
R1 : Hip-Valley Rafter Pitch Angle or Hip-Valley Rafter Plumb Cut Angle
P2 : Jack Rafter Side Cut Angle on the face set in the plane of the roof.
90 - P2 : Sheathing Angle, also the angle on a Jack Purlin on the face set in the plane of the roof. Complementary to the Jack Rafter Side Cut Angle.
C5 : Backing Angle. Saw Blade Bevel Angle to cut a ridge on a Hip Rafter or trough on a Valley Rafter. Also the Saw Blade Bevel Angle when cutting along the Sheathing Angle, the angle on the face of the Purlin set in the plane of the roof (also the Sheathing Angle) or the complementary Jack Rafter Side Cut Angle.
A7 : Plumb Backing Angle. Backing Angle C5 projected to or viewed along the Hip-Valley Rafter Plumb Cut.
R4B : Hip-Valley Rafter Side Cut Angle at the Hip Rafter foot or Valley Rafter peak. Created on the upper shoulder of the Hip-Valley Rafter as the rafter intercepts a plumb plane following the Hip eave or Valley ridge line. This angle may occur at the Valley Rafter foot if the plumb plane intercepted follows the eave line.
R4P : Hip-Valley Rafter Side Cut Angle at the Hip Rafter peak or Valley Rafter foot. Created on the upper shoulder of the Hip-Valley Rafter as the rafter intercepts a plumb plane at right angles the Hip or Valley eave.
A5B : Saw Blade Bevel Angle to make the cut along the Hip-Valley Rafter Side Cut Angle at the Hip Rafter foot or Valley Rafter peak.
A5P : Saw Blade Bevel Angle to make the cut along the Hip-Valley Rafter Side Cut Angle at the Hip Rafter peak or Valley Rafter foot.
P1 : Purlin Saw Miter Angle on the faces of Purlins or Bird-Block set perpendicular to the plane of the roof, at the intercept of this face with the side or plumb face of the Hip-Valley Rafter.
C1 : Purlin Saw Blade Bevel Angle on the faces of Purlins or Bird-Block set perpendicular to the plane of the roof, at the intercept of this face with the side or plumb face of the Hip-Valley Rafter. Saw Blade Bevel Angle on the Hip-Valley Rafter to accommodate Square Cut Fascia.
R2 : Square Cut Fascia Saw Miter Angle on the Hip-Valley Rafter. Purlins or Bird-Block meeting the side or plumb face of a Hip-Valley Rafter also create angle R2 on the Hip-Valley Rafter.



Joe Bartok
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