C1 Timber Framing Angle

Timber Framing Angle: C1
C1 = Purlin, Bird-Block, Frieze Block or Square Tail Fascia Saw Blade Bevel Angle for P1.

C1 = arctan (sin P1 ÷ tan S)

C1 = arctan (sin P1 ÷ tan S)

C1 = arctan (sin(Purlin Miter Angle) ÷ tan(Common Rafter Slope Angle))

Purlin Saw Blade Bevel Angle = arcsin( cos ( Pitch Angle ) * cos( Plan Angle ))

Square Tail Fascia Saw Blade Bevel Angle = arcsin( cos ( Pitch Angle ) * cos( Plan Angle ))

Frieze Block Saw Blade Bevel Angle = arctan( sin( Frieze Block Saw Miter Angle ) ÷ tan( Pitch Angle ))

The Hip-Valley Roof Ratios Angle Formulas were developed by Joe Bartok.

The Timber Framing Hawkindale Angle Formulas were developed by Rees Hawkins Acheson from the Martindale Hip and Valley Roof Angles and Hawkindale angle drawings by Ed Levin of the Timber Framers Guild.

The Hawkindale angles were based on the book by Frank L. Martindale "Bevel Angles for Three Dimensional Connections" 1948 that was based on the book "Hip and Valley Design" by H. L. McKibben and L. E. Gray published in 1912.