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Article: Swept Curve Calculator

Swept Curve Calculator

Swept Curve — Per-Joint Cut List
Roofline lighting · swept & flared eaves

Swept curve — per-joint cut list

For a curve whose bend changes along its length (an upswept or flared eave), there's no single miter. Quick mode needs just three numbers — run, rise, and the pitch of the rake it blends into. Detailed mode takes a table of measured heights for odd profiles. Either way you get a per-joint cut list.

Measure the curve

bottom starts flat (assumed 0°) ① Run — level distance, start → end ② Rise ③ Top pitch — the rake it blends into

Run and rise are the two ends of the curve; top slope is the rake it merges into — read it straight off your speed square in degrees, or enter it as a roof pitch. Use the /12 · deg toggle to match. The bottom is assumed to blend flat out of the soffit.

Fitted curve, split into pieces

Pieces
—
each ≈ —
Total run
—
along the curve
Sharpest joint
—
miter each side
Cut list — bottom to topmiters from square
Piece Length Bottom end Top end

How to read it: lay pieces bottom to top. Each interior joint is shared — the top end of one piece and the bottom end of the next are cut to the same angle so they meet flush. The two outer ends are square: the bottom meets the flat run, the top butts into the straight rake. All bevels face the same way (the concave side) unless the diagram shows the curve reversing.

Monotone curve fit · equal arc-length pieces · joint miter = ½ the direction change