Wood Roof Truss Calculator — ft, lumber

Span & pitch in feet · Board feet of lumber · King Post, Queen Post, Fink, Howe
NDS / TPI 1
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How to use this calculator

Select a truss type, enter the span, roof pitch (rise per 12″ run), spacing, and building length. Choose chord and web member sizes. The calculator computes truss height, rafter length, number of trusses, and total board feet of lumber needed.

Truss types — King Post (simple, short spans), Queen Post (medium spans), Fink/W (most common residential), Howe (heavier loads).
Lumber — board feet = width(in) × depth(in) × length(ft) / 12.

24″ o.c. typical 4/12 low slope 8/12 steep Fink most common
Truss Type
ft in
/ 12
Rise per 12″ of run. 4/12 low · 6/12 standard · 12/12 = 45°
in o.c.
ft in
in
Typical: 12″–24″ eave overhang
Truss Diagram
$Price
$
SPF #2 lumber typical
Results
Truss Geometry
Truss Height (peak)
ft
Rafter Length
ft
Pitch Angle
°
Total Truss Span (w/ OH)
ft
Quantities
Number of Trusses
pcs
BF per Truss
bd ft
Total Board Feet
bd ft
Web Members/Truss
pcs

Saved Calculations

TimeTypeSpanPitchTrussesTotal BFCost
No saved calculations

How to Calculate Wood Roof Truss Lumber

This calculator estimates lumber quantities for common residential roof truss types. Enter the building span, roof pitch, truss spacing, and building length. The calculator determines the number of trusses, rafter length, truss height, web member count, and total board feet of lumber.

Formulas

Rise = (span/2) × (pitch/12). Rafter length = √((span/2)² + rise²) + overhang/cos(angle). Number of trusses = building length / spacing + 1, rounded up. Board feet = nominal width(in) × nominal depth(in) × length(ft) / 12.

Truss Types

King Post — simplest, one vertical web at center, best for spans up to 20 ft. Queen Post — two vertical webs with horizontal tie, spans 20–30 ft. Fink/W — most common residential, V-shaped webs, efficient for 24–32 ft spans. Howe — vertical webs in compression, diagonal webs in tension, good for heavier loads.

FAQ

What spacing should I use? 24″ on center is standard for residential construction. Use 16″ for heavier loads or longer spans.

Misha Noyr, M.Eng.

Misha Noyr, M.Eng.

Civil Engineer · 15+ yrs · structural design, geotechnics. Full bio →