ToolHuts

Practical tools for measured work

Unequal-Pitch Valley Rafter Calculator

Calculate internal valley centerline geometry, separate backing bevels and side-specific jack differences for two unequal roof pitches.

Calculate the layout, check the diagram, then print the result for the shop or jobsite.

mm

Perpendicular from its eave to the valley's high endpoint.

mm
Run A 4200 mmRun B 2625 mmValley plan line32.01 deg from A
True valley length5252.9mm
Valley plan angle32.01deg from main run
Valley slope / plumb cut19.46deg
Seat-cut complement70.54deg
Intersecting roof run2625.0mm
Main-side backing12.45deg
Intersecting-side backing29.48deg
Valley plan run4952.8mm

Jack common differences at 400 mm eave spacing: main side 693.3 mm; intersecting side 300.5 mm. Bevel direction is inward for a valley.

How it works

How to use it: describe the two roof planes forming an internal valley. Enter the main roof run; the calculator matches the intersecting roof to the same vertical rise.

What is distinct here. Unlike an equal-pitch hip/valley calculator, this reports the shifted valley plan angle, separate backing bevels and a separate jack common difference for each roof side.

Current-input example

The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.

Main roof pitch rise
5
Main roof pitch run
12
Intersecting roof pitch rise
8
Intersecting roof pitch run
12
Main roof horizontal run
4200 mm
Jack spacing along eaves
400 mm

Primary result: True valley length: 5252.9 mm.

Before using the result

  • Measure from the datum or reference edge described by this tool, and do not mix inside, outside and centerline dimensions.
  • Keep inputs in the displayed units and preserve more precision than the final cutting or purchasing tolerance requires.
  • When the result is close to a limit, verify it with a test piece, field measurement, manufacturer drawing or qualified project professional.

Limitations

This is an internal-corner interpretation of the same plane-intersection geometry used by irregular hips. It assumes a 90-degree plan corner, common eave elevation and no offsets. It does not deduct ridge, valley-board or plate details, size members, or verify drainage, loading or code. Confirm which face and bevel direction your saw or framing convention references.

Frequently asked questions

Can I use hip-rafter numbers for this valley?

The centerline geometry is shared, but a valley is concave: bevel direction, support and detailing differ. Use these values as layout geometry and verify the physical joint.

Why are there two jack differences?

The pitches and the valley's plan angle differ on each side, so equal spacing along each eave does not create the same change in rafter length.