Architecture
Timber Frame Span Calculator
Sizing for heavy timber beams in post-and-beam, barns, pavilions, and timber-frame homes. Pick the timber, species, and load — get the max simple-span. Tenoned and pegged connections lose a chunk of section, so this also flags the reduced strength at joints.
⚠ Preliminary sizing only
Timber-frame structures need a stamped engineer — connection geometry (housed mortise, through-tenon with pegs, half-lap, dovetailed) dramatically affects capacity. This calc estimates the raw beam capacity; the joint is usually the weak link. Use this to scope, not to build from.
Estimated max span (with connection derate)
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- Raw beam span
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- Bending-limit
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- Deflection-limit
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- Shear-limit
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- Section modulus S
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- Moment of inertia I
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- Line load w
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- End reaction
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How timber-frame sizing differs from dimensional lumber
Heavy timbers behave like deep, stocky beams — bending strength is rarely the limit. Three things usually govern instead:
- Deflection. A 6×10 oak beam on a 16-foot floor span passes bending easily but feels bouncy. L/360 (1/360 of the span) is the floor target; L/240 is fine for roofs.
- Horizontal shear at the supports. Timbers with tenons cut into them shear-fail before they bend-fail. A 1″-deep housing into the side of a 10″ beam removes 10% of the cross-section at the most-stressed point.
- Bearing. Where the beam lands on a post or sill, you can crush the wood across the grain. Oak handles ~800 psi perpendicular-to-grain; white pine only ~350.
Why we derate the joint, not the beam
A clear 6×10 white-oak beam is monstrous in pure bending. Cut a 1½″ × 4″ × 5″-deep mortise into the end of it for a tenon, and you've removed roughly a third of the bearing area and added a stress riser. Connection derates here (15-40%) approximate what a timber-frame engineer would apply to the published reference values — they're meant to keep you out of trouble, not replace stamped calcs.
Species cheat-sheet for frames
- White oak. Hard, dense, rot-resistant, very stiff. Traditional barn timber. Heavy to lift, dulls saw chains, but the strongest commonly-used domestic option.
- Douglas Fir-Larch. The Pacific-Northwest workhorse. Excellent strength-to-weight, machines cleanly, dimensionally stable when dry. Most modern timber-frame shops ship in DF.
- Eastern white pine. Soft, light, easy to hand-hew, but only ~⅔ the bending strength of oak. Common in New England barns — you'll see bigger sections to compensate.
- Hemlock. Cheap and locally available across the Northeast. Brittle, splinters badly, prone to shake. Workable for non-critical members.
- Southern yellow pine. Strong, resinous, great for the South. Heavy and tough on tools.
FAQ
What's the span limit for a 8x10 oak floor beam? +
How big should a porch / pavilion beam be? +
Why are my numbers smaller than NDS span tables? +
Can I use this for green / unseasoned timber? +
What about loaded knee braces? +
Tributary width — what does that mean? +
Does this work for cantilevers? +
Related calculators: Wood Beam Span (2x lumber + LVL) · Wood Beam Span Reference Table · Joist Spacing · Load Combinations
Heads up: ClutchCalcs gives you fast, accurate results — but always sanity-check critical decisions (medical, financial, structural) with a professional.
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