Rake Wall Calculator — Gable & Sloped-Edge Stud Length

Rake wall stud length follows the roof slope: stud length equals eave height plus the stud's horizontal distance from the gable corner times the pitch ratio. For a 24-ft-wide gable with an 8-ft eave and a 6/12 pitch, the formula L(x) = 8 + x × 6/12 gives a stud standing 4 ft from the corner a length of 10 ft 0 in, and the ridge-center pair 20 ft 0 in. Every intermediate stud rises exactly pitch inches per foot of run — 6 inches per foot on a 6/12 roof.

The top of every rake wall stud gets a bevel (plumb) cut equal to the pitch angle: arctan(rise ÷ 12). A 6/12 roof bevels at 26.57°, a 4/12 at 18.43°, and a 12/12 at 45°. Set your saw to the complement as well — 90° minus the bevel — when cutting from the flat side. The bevel always faces the ridge line so the top plate or rake board sits flush against the sloping rafter line.

They describe the same wall from different angles: the gable end wall is the triangular end wall of a gable-roofed building, and the rake wall specifically refers to its sloped top edge that follows the roof line — the rake. Framers use 'rake wall' when emphasizing the angled stud cutting and the sloped double plate, and 'gable end wall' when talking about the whole assembly including the vertical portion below.

The longest rake studs stand at the ridge line: eave height plus half the building width times the pitch ratio. A 32-ft building with a 9-ft eave and 8/12 pitch needs ridge studs of 9 + 16 × 8/12 = 19 ft 8 in — longer than any stock dimension, so the wall is framed as a ladder or spliced with a scabbed joint. Anything over roughly 20 ft requires an engineered splice detail or a truss-framed gable instead.

A solid rake wall (studs running all the way to the roof line) is the default for stucco, vertical siding, and anywhere the gable is enclosed on the same plane as the wall. A stepped or ladder-framed gable saves lumber on wide overhangs: the wall stops at the eave height and lightweight ladder frames carry the roof overhang beyond it. Overhangs deeper than 16 inches almost always shift to ladder framing because solid rake studs there only support air.

Count both slopes at the same spacing as the walls below — usually 16 inches on center. Studs per slope = floor(half-width in inches ÷ spacing), plus one at the ridge center. A 24-ft gable at 16″ O.C. gives 9 field studs plus the center pair per slope, 20 studs total. Openings in the gable (attic vents, windows) subtract field studs but add kings, jacks, and cripples back — run the wall framing calculator for opening-heavy gables.

Yes — gable end walls are the most wind-suction-exposed wall in the house, and long unbraced studs (the 14–20 ft ridge studs) must be mid-wall braced. Install a continuous line of 2× blocking or solid bridging at 8–10 ft above the eave on any stud longer than 10 ft, and check whether your local code adds gable-end bracing straps from the top plate down to the ceiling diaphragm in high-wind zones.

A stepped rake wall follows the roof line in horizontal stair-steps instead of a true diagonal: each stud is cut square at a height that rises by one pitch step per bay. It eliminates every bevel cut and uses standard-length studs per step, at the cost of a sawtooth plate line that must be packed out level for siding. It appears mostly on sheds, barns, and utility buildings where the stepped profile stays visible or where speed beats appearance.