Roof Framing Angles: Sample Values
Major Pitch = 10 ÷ 12         Minor Pitch = 8-1/2 ÷ 12
W = 135° , angle viewed in plan between Hip eaves or Valley ridges
Rises are based on a Run = 12"
Definitions Formulas Diagrams
Framing and Joinery Angle Calculator

Common Rafter Pitch Angle or Common Rafter Plumb Cut Angle
SS : Major Side Angle = 39.80557°
S : Minor Side Angle = 35.31121°
The initial values of Pitch Angles are generally given as Over 12

Plan Angle or Deck Angle
DD : Major Side Angle = 56.42456°
Major Side Rise = 18-3/32"
D : Minor Side Angle = 78.57544°
Minor Side Rise = 59-3/8"

Hip-Valley Rafter Pitch Angle or Hip-Valley Rafter Plumb Cut Angle
R1 : Angle = 34.77220°
Rise = 8-11/32"

Jack Rafter Side Cut Angle
P2m : Major Side Angle = 27.01842°
Major Side Rise = 6-1/8"
P2a : Minor Side Angle = 9.36400°
Minor Side Rise = 1-31/32"

Sheathing Angle
90° - P2m : Major Side Angle = 62.98158°
Major Side Rise = 23-17/32"
90° - P2a : Minor Side Angle = 80.63600°
Minor Side Rise = 72-25/32"

Backing Angle
C5m : Major Side Angle = 20.73487°
Major Side Rise = 4-17/32"
C5a : Minor Side Angle = 6.57434°
Minor Side Rise = 1-3/8"

Plumb Backing Angle
A7m : Major Side Angle = 24.74318°
Major Side Rise = 5-17/32"
A7a : Minor Side Angle = 7.98675°
Minor Side Rise = 1-11/16"

Hip-Valley Rafter Side Cut Angle
at the Hip Rafter foot or Valley Rafter peak
R4Bm : Major Side Angle = 51.05890°
Major Side Rise = 14-27/32"
R4Ba : Minor Side Angle = 76.17896°
Minor Side Rise = 48-25/32"

Saw Blade Bevel Angle along the Hip-Valley Rafter Side Cut Angle
at the Hip Rafter foot or Valley Rafter peak
A5Bm : Major Side Angle = 28.36995°
Major Side Rise = 6-15/32"
A5Ba : Minor Side Angle = 33.98771°
Minor Side Rise = 8-3/32"

Hip-Valley Rafter Side Cut Angle
at the Hip Rafter peak or Valley Rafter foot
R4Pm : Major Side Angle = 28.60128°
Major Side Rise = 6-17/32"
R4Pa : Minor Side Angle = 9.42488°
Minor Side Rise = 2-0/32"

Saw Blade Bevel Angle along the Hip-Valley Rafter Side Cut Angle
at the Hip Rafter peak or Valley Rafter foot
A5Pm : Major Side Angle = 18.38520°
Major Side Rise = 4-0/32"
A5Pa : Minor Side Angle = 6.48636°
Minor Side Rise = 1-3/8"

Purlin Saw Miter Angle or Bird-Block Saw Miter Angle
P1m : Major Side Angle = 23.02268°
Major Side Rise = 5-3/32"
P1a : Minor Side Angle = 6.66234°
Minor Side Rise = 1-13/32"

Purlin Saw Blade Bevel Angle or Bird-Block Saw Blade Bevel Angle
Square Cut Fascia Saw Blade Bevel Angle on the Hip-Valley Rafter
C1m : Major Side Angle = 25.14135°
Major Side Rise = 5-5/8"
C1a : Minor Side Angle = 9.30188°
Minor Side Rise = 1-31/32"

Square Cut Fascia Saw Miter Angle on the Hip-Valley Rafter
Angle on the Hip-Valley Rafter Purlin or Bird-Block intercepts Hip-Valley Rafter
R2m : Major Side Angle = 10.23382°
Major Side Rise = 2-5/32"
R2a : Minor Side Angle = 1.08163°
Minor Side Rise = 0-7/32"



Joe Bartok