Roof Truss Calculator — Span Tables by Truss Type & Pitch

Plan the prefab roof: rise and top-chord geometry for any pitch, truss count along the building, bracing rows, and the load basis your fabricator quotes against — plus the truss-type guide and the rafter-vs-truss math.

Last updated: October 25, 2026 · Reviewed by the Joist Calculator framing team

Roof Truss Calculator

Rise, top chord, truss count and bracing — prefab roof geometry in one pass.

✓ preview: 24' 0" (288″)

✓ preview: 40' 0"

Geometry vs. capacity: rise, top-chord length, and truss count are exact math this tool computes for you. Whether a catalog truss carries that span at your snow load is the fabricator's chart — most 2×4-chord fink series reach 24–40 ft, and your supplier confirms the exact span, plate spec, and bracing plan when quoting.

Trusses needed

241 pcs

40' 0" building at 24″ o.c. · +1 gable-end truss at each end (non-structural)

Rise @ 6/12

6' 0″

Top chord / side

13' 5″

Bracing rows

3

Load basis for the supplier's quote

40 psf snow/live + 10 psf dead = 50 psf total over a 24' 0" span at 24″ o.c. Hand this line to the truss fabricator and the quote comes back sized, plated, and braced to your numbers.

Geometry assumes bearing at both heels and excludes rafter overhangs (add the overhang's horizontal run to each end when ordering fascia and soffit). Spans, plates, and web patterns come from the fabricator's sealed design.

What a calculator can and cannot do for a truss roof: geometry and layout math are exact; span capacity is not — prefab trusses are engineered and sealed per project by the fabricator, who owns the plate and web design. Use this page to arrive at the supplier's counter with the right numbers, and treat the sealed shop drawing as the final authority on site.

This roof truss calculator handles the prefab half of the roof question — the half where rafters become a factory-built triangle and the framing schedule drops from weeks to days. If you are still deciding between systems, the roof joist (rafter) calculator sizes the stick-framed alternative with the same load conventions. The joist calculator homepage opens the whole suite, and the calculator hub keeps every span, load, and cost tool one click away.

What makes prefab trusses a different system rather than a cheaper rafter is the tie question. Site-framed rafters push outward at the walls and need ceiling joists or collar ties to resist it — the whole ridge-and-tie discussion on the rafter pages exists because of this thrust. A properly braced truss resolves thrust inside its own triangle: bottom chord in tension, webs in between, walls receiving mostly vertical load. That internal resolution is why a truss roof neither needs a structural ridge nor sags into a flattened ceiling line — and why the web pattern, which looks like wasted attic, is the structure itself.

Truss Types

Six Truss Types and Where Each One Belongs

The span table changes with the web pattern. Identify your type first — each card names the spans its family typically reaches and the job it was invented for.

W Best practice

Fink (W-pattern)

Most residential series: ~24–40 ft

The default house truss. The double-W web pattern breaks the top chord into four supported segments, which is why it reaches further per pound of lumber than any other common type. Use it for gable roofs on homes and garages whenever the attic does not need to be lived in.

Z Best practice

Warren (zig-zag)

Long spans, lighter webs

Fewer, longer diagonals than the fink — slightly less chord support but more open bays for ducts and wiring. Common on commercial and long-span residential work where the mechanical plan pushes truss depth up.

▣ Best practice

Gable-end truss

Not structural — it's a wall

The flat end-wall panel that closes the roof. It looks like a truss, ships like a truss, but carries no roof load — it studs the gable end. It gets Continuous lateral bracing and is never counted in span decisions.

◺ Best practice

Mono-pitch (shed)

12–24 ft typical series

A single-slope truss for shed roofs, porch entries, and additions that tie into an existing wall. Bearing at a wall plate on the low end and either a bearing wall or beam on the high end.

✕ Best practice

Scissor

18–32 ft typical series

Bottom chords slope upward to form a vaulted ceiling. Every inch of vault trades away bottom-chord depth, so scissor trusses need more total span or heavier chords for the same roof — plan the room, then the truss.

⌂ Best practice

Attic / room-in-roof

Custom-engineered, per drawing

A room built into the truss: wide bottom chord, tall verticals, big open center. These are among the heaviest trusses made in residential work and always require the fabricator's sealed design — never a stock chart.

Trusses vs. Rafters: Six Differences That Decide the Roof

Both frame the same pitch; they solve the roof problem from opposite ends. Every row below changes either the schedule or the budget — usually both.

FactorPrefab trussStick-framed raftersWho wins
Clear span24–40+ ft in standard series12–18 ft practical in 2× lumberTruss
Ridge structureNone needed — thrust resolves internallyRidge board or structural ridge beam + tiesTruss
Attic spaceWeb-filled, unusable unless attic-typeOpen — storage or rooms possibleRafters
Install speedDays, small crew, crane-friendlyWeeks, skilled geometry on siteTruss
Design flexibilityFixed at order — changes cost re-engineeringAdjustable in the field within span limitsRafters
Vaulted ceilingsScissor type — costs depthNatural with ridge beamRafters

Roof Truss Span Tables: Rise, Top Chord & Count

Exact geometry for common spans — the numbers the supplier needs before the span capacity conversation even starts. Toggle the spacing to see the count change for a 40 ft building run.

SpanRise @ 4/12Rise @ 6/12Rise @ 8/12Top chord @ 6/12Count (40′ run, 24″)
12 ft2' 0″3' 0″4' 0″6' 8″21
16 ft2' 8″4' 0″5' 4″8' 11″21
20 ft3' 4″5' 0″6' 8″11' 2″21
24 ft4' 0″6' 0″8' 0″13' 5″21
28 ft4' 8″7' 0″9' 4″15' 8″21
32 ft5' 4″8' 0″10' 8″17' 11″21
36 ft6' 0″9' 0″12' 0″20' 1″21
40 ft6' 8″10' 0″13' 4″22' 4″21

Rise and chord are exact trigonometry at bearing-to-bearing span, before overhangs. Count includes the off-by-one rule and excludes the two gable-end trusses. Span capacity at your snow load comes from the fabricator's chart for the chosen series — most 2×4-chord fink designs carry 24–40 ft spans at the loads shown.

Prefabricated wood roof trusses stacked and installed on a residential buildingFactory triangles: the web pattern is the structure, the attic is the tradePhoto: Unsplash

Bracing: the Part of the Span Table Nobody Photographs

A truss reaches its quoted span only inside its bracing system. Three layers, in the order they happen on site:

1Safety critical

Temporary — during install

The first trusses get sheathing or temporary lateral bracing before the second goes loose. Trusses braced only at the heels have toppled in light wind; this is the industry's most repeated accident.

2Sheathing usually covers it

Top chord — permanent

Roof sheathing does this job when applied per schedule. Open purlin or metal roofs replace it with purlin rows and diagonal bracing per the drawing — do not assume plywood rules apply.

3Most skipped

Bottom chord — permanent

Lateral bracing rows across the bottom chords at ≤ 10 ft spacing (the calculator reports the row count), plus the scabbing the drawing calls for at each row. This is what keeps a 24 ft ceiling flat under snow.

Where the span table breaks: unbraced bottom chords, field-cut webs, and skipped temporary bracing. Every one voids the engineering behind the quoted span — the table assumes the drawing was built, not approximated.

Three Situations That Change the Truss Order

❄️

Heavy snow country

Ground snow load drives the quote: 60 psf regions truss differently than 30 psf ones even at the same span — expect heavier chords, an extra web, or 16″ o.c. spacing. Drift at roof offsets can double the local load; flag any addition or taller neighbor wall to the fabricator.

🏠

Additions tying into an existing roof

A mono-pitch truss framing against an existing two-story wall carries its high bearing on that wall — confirm the wall was framed for it. Where the new roof meets the old, the tie-in detail (valley, cricket, or ledger) belongs on the fabricator's drawing too, not improvised on site.

🛋️

Vaulted rooms inside a truss roof

Scissor trusses vault the ceiling but sacrifice bottom-chord depth — the vault costs span capacity, so the same room under scissor trusses often needs a deeper heel or closer spacing than the flat-ceiling plan suggested. Decide the vault before the quote, not after delivery.

Tip: quote early, quote free

Truss fabricators quote from your layout summary at no cost, usually in days. Get two quotes before the framing budget is set — depth and plate choices vary enough between shops to matter on a 30-truss order.

Delivery is part of design

40 ft trusses need road access and a crane day. Overhead power lines, tight suburban lots, and hillside sites have killed more truss budgets than snow loads have — walk the delivery path before you order the long ones.

Roof Truss Questions, Answered With Numbers

Q1How do I read a roof truss span table?▼

A roof truss span table runs on three coordinates: span, pitch, and total load (snow + dead). Find your ground snow load first — it sets the load column — then your span row, then read across the pitch you are building. Unlike rafter tables, truss tables are printed by each fabricator because the plate joints and web pattern are proprietary: two suppliers can quote different depths for the same 32 ft span. The number that matters for ordering is the quoted depth (heel height) at each bearing, since that is what the walls below must accommodate.

Q2How far can roof trusses span?▼

Most residential fink-series trusses in 2×4 chord lumber carry clear spans of 24–40 ft at standard snow loads — larger than almost any house needs — and heavier series or scissor/attic designs push beyond that with engineered chords. Compare that to site framing: a 2×10 rafter pair tops out near 16–18 ft even with a ridge beam. The practical limit on a truss roof is rarely span; it is wall height (the heel grows with span) and delivery access for 40 ft members. Your fabricator's chart, not a generic table, gives the final depth for your exact span and load.

Q3How many roof trusses do I need for a 24×40 building?▼

Trusses run across the 24 ft span, spaced along the 40 ft length: n = ⌈(40 × 12) ÷ 24⌉ + 1 = 21 trusses at 24″ o.c., plus two gable-end trusses closing the ends — 23 total. At 16″ o.c. under heavy snow the count rises to 31. The calculator above does this count live, including the off-by-one rule that catches most back-of-envelope layouts.

Q4What is the 12 foot shed roof truss design?▼

A 12 ft span mono-pitch (shed) truss is the classic small-building answer. Unlike a symmetrical gable, a mono rises across its full span: at 4/12 the rise is 12 × 4/12 = 4 ft and the top chord runs √(12² + 4²) ≈ 12'-8″; a 10 ft shed at 24″ o.c. needs ⌈120 ÷ 24⌉ + 1 = 6 trusses. Low pitches (3/12–4/12) keep the shed profile friendly; snow country pushes the load to 50–60 psf and may add a web or two to the pattern. Any fabricator quotes 12 ft monos from stock patterns — this is the most commodity truss in the industry.

Q5Roof trusses vs rafters: which is cheaper?▼

Trusses win on labor and schedule, rafters win on lumber price per stick and attic freedom. A truss roof frames a weather-tight roof plane in days with one small crew — no ridge beam, no collar ties, no on-site compound cuts — but each truss costs engineered-labor dollars and the attic becomes unusable webs. Stick framing uses cheap dimensional lumber and keeps open attic space, but takes several times the labor and demands real rafter-geometry skill. Industry experience: for an average production house the truss package lands at or below the stick-framed total once labor is counted; for a small cabin with a usable attic, rafters can win.

Q6Can you modify roof trusses in the attic?▼

No — never cut, notch, or remove any truss member, including the webs that make the attic look 'wasted space'. Every web is a designed compression or tension member; removing one converts the truss into an unengineered frame with no load path. The legal route to attic space is ordering room-in-attic (attic) trusses from the start, where the fabricator designs the open room into the pattern, or a full re-engineering of the affected trusses before any cut. Most jurisdictions treat field-modified trusses as a structural violation, not a handyman project.

Q7What bracing does a truss roof need?▼

Three kinds, and the fabricator's drawing specifies all of them: temporary bracing that holds the first trusses plumb during installation (the most dangerous minutes of the whole build), permanent top-chord bracing usually provided by the roof sheathing itself, and permanent bottom-chord lateral bracing — rows across the bottom chords at roughly 10 ft maximum spacing to stop them from buckling sideways under ceiling load. Missing bottom-chord bracing is the most common truss-roof defect inspectors flag: the roof sheds snow for years, then the ceiling line develops waves.

The prefab roof pairs with an engineered floor: the floor truss calculator applies the same open-web logic below the ceiling, and the rafter calculator sizes the stick-framed alternative when attic space wins the trade. Keep this roof truss calculator open through the supplier conversation — the layout summary it produces is exactly the input their quote sheet asks for. The Joist Calculator homepage and the full calculator hub list every tool in the suite, from joist spans to roof pitch.

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