Free Calculator

Hip Rafter Calculator — Length & Cut Angles

Enter pitch and building width — get hip rafter length, plumb cut, cheek cut, and backing angle instantly.

Roof Pitch

Riseinches per 12" of run

Building Widthfeet — short dimension

Overhanginches — horizontal

Dimensions

Common Rafter Run

—

half the building width

Hip Plan Run

—

diagonal in plan (run × √2)

Hip Unit Length

—

ft of hip per ft of common run

Hip Line Length

—

ridge to plate, no overhang

Hip w/ Overhang

—

includes eave tail

Common Rafter Length

—

for comparison

Cut Angles

Plumb Cut

—

ridge end, from horizontal

Level Cut

—

seat / birdsmouth

Side Cut (Cheek)

—

saw bevel at ridge

Backing Angle

—

top-edge bevel, both sides

Hip Rafter Reference — All Standard Pitches

Pitch	Unit Length	Hip Plumb Cut	Common Plumb	Side Cut	Backing Angle