Materials & Quantities

Ridge Beam Tributary Load Calculator

Calculate the load per linear meter carried by a structural ridge beam supporting cathedral-ceiling rafters.

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Imperial · sales tax
The combined dead and live load carried by the roof, per unit of horizontal roof area.

Per unit of HORIZONTAL area in plan, not of sloping roof surface — snow and live loads are defined on the plan projection, and using the slope area double-counts the pitch the tributary width already accounts for. Dead load is genuinely per slope area and is usually converted to plan for this reason. Where the roof carries a ceiling below, that load is part of this too if the ridge beam picks it up.

The full width of the building, measured eave to eave across both roof slopes.

A structural ridge beam supporting cathedral-ceiling rafters (no horizontal ceiling ties) picks up half the tributary load from each roof slope, so its load depends on the full building width, not just one slope's run.

Ridge beam load per linear meter

543 lbf/ft

Medium confidence

Assumes simply-supported rafters bearing directly on a structural ridge beam with no rafter ties — verify actual load path with a structural engineer for irregular framing.

Then change the inputs to see how far the answer moves.

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How this was calculated

Formula source(s)

  • For a structural ridge beam supporting simply-supported rafters (no ceiling rafter ties), each rafter transfers half its tributary load to the ridge; summed across both roof sides, ridge load per unit length = roof load × building width ÷ 2

Inputs used

Total Roof Load, Dead+Live
41.77 psf
Building Width
26 ft
Final result543.02 lbf/ft

Confidence note: Assumes simply-supported rafters bearing directly on a structural ridge beam with no rafter ties — verify actual load path with a structural engineer for irregular framing.

What this calculation does not cover

  • Produces a load, not a beam. The section comes from applying that load over the clear span between supports and checking it three ways — bending, shear at the bearings, and a deflection limit tight enough that the ridge does not sag visibly over a cathedral ceiling — and doubling the span roughly quadruples the bending demand at the same load per unit length.
  • Stops at the underside of the beam. All the load on it lands on the posts at its ends, and those posts have to run continuously down through the floors to a footing sized for that point load. A ridge beam bearing on a wall top plate with ordinary studs and no post beneath it is the common failure, and it shows as a dip in the floor below long before the roof complains.

Add the equipment this sizes

This result is a specification — 543 lbf/ft — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

26 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-06 · in the site-wide review of 2026-09-06 · v1.1.1

Regulatory standards & verification citations1
  1. For a structural ridge beam supporting simply-supported rafters (no ceiling rafter ties), each rafter transfers half its tributary load to the ridge; summed across both roof sides, ridge load per unit length = roof load × building width ÷ 2
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Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

Called something else where you work? Ridge, ridge board and ridge beam — the term in each market, how close the equivalence really is, and the standard that governs it.

Still deciding? Ridge Beam vs Ridge Board — the factors that actually differ, with no invented prices.

How to calculate ridge beam tributary load in 3 steps

  1. Total Roof Load, Dead+LiveThe combined dead and live load carried by the roof, per unit of horizontal roof area.
  2. Building WidthThe full width of the building, measured eave to eave across both roof slopes.
  3. Ridge beam load per linear meterThe tool computes the ridge beam load per linear meter from those figures and shows the formula, its sources, and a confidence rating alongside it.

Ridge beam load per linear meter by total roof load, dead+live

Page defaults, not your figures above.

Total Roof Load, Dead+LiveRidge beam load per linear meter (lbf/ft)
20 psf262
30 psf394
40 psf525
50 psf656
60 psf787
70 psf919
80 psf1,050

Frequently asked questions

Why does a structural ridge beam carry load from the full building width?
Because without ceiling rafter ties to resist outward thrust, each rafter behaves as a simply-supported beam spanning between the wall and the ridge. The ridge beam ends up carrying half the tributary load from each of the two roof slopes, which together sum to half the full building width's roof load.
Does this apply to a standard ridge board as well?
No — a conventional ridge board is not a structural beam; it relies on rafter ties (or a ceiling diaphragm) to resist thrust and does not carry this kind of tributary gravity load. This calculator applies specifically to a structural ridge beam in a cathedral-ceiling or open-ridge design.
What load path assumption does this calculator make?
It assumes simply-supported rafters bearing directly on the ridge beam with no intermediate supports or rafter ties — irregular framing, dormers, or valleys will change the actual tributary area and should be checked separately by a structural engineer.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.