Mortise & Tenon Calculator
Calculate mortise and tenon dimensions using the universal 1/3 rule. Rail, stile, shoulder, cheek and mortise depth — covering IS 883, NDS, Eurocode 5, AS 1720.
Why this calculation matters
Joint proportions decide whether the rail or the mortise wall fails first. The one-third rule balances the two — thicker tenons are not stronger joints.
Mortise & Tenon — Calculator
Calculate mortise and tenon dimensions using the universal 1/3 rule. Rail, stile, shoulder, cheek and mortise depth — covering IS 883, NDS, Eurocode 5, AS 1720.
⚙ Mortise & Tenon Calculator
The world's oldest wood joint — found in ancient Egyptian furniture (3000 BC), traditional Indian carpentry, European timber framing and Japanese temple construction. The tenon (projecting tongue) fits the mortise (rectangular hole), creating a strong connection resisting racking, tension and bending.
Where Used?
Formulas (1/3 Rule — IS 883, NDS, Eurocode 5, AS 1720)
Tenon thickness = Rail thickness / 3Tenon width = Rail width − 2 × shoulder_allowanceTenon length = 4.5 × tenon_thickness (max = 80% of stile thickness)Mortise depth = Tenon length + 2mm clearanceCheek = (Rail thickness − Tenon thickness) / 2About the Mortise & Tenon Calculator
The mortise and tenon is the backbone of solid timber joinery — a tenon (a projecting tongue) fits snugly into a mortise (a matching cavity) to make a joint that resists racking and pull-apart far better than nails or screws alone. The proportions matter: too thin a tenon is weak, too thick and the mortise walls crack. This calculator applies the time-tested 1/3 rule, sizing the tenon at a third of the rail thickness so strength is balanced on both sides of the joint, the same approach used in standards like IS 883, NDS 2018, Eurocode 5 and AS 1720. It applies the classic one-third tenon thickness rule and suggests sensible mortise and tenon proportions for your stock size.
Where Is This Used?
- Universal one-third rule (IS 883, NDS 2018, Eurocode 5, AS 1720)
Formula checked against the sources above by an automated regression test (tests/verify-phase2.js) that derives each expected value independently of this page. Last reviewed .
FAQ
Wood species data
Density, hardness and movement for 60 timbers
How the calculation works
The one-third rule balances the two ways the joint can fail: a thinner tenon shears, a thicker one leaves too little mortise wall and the cheeks blow out instead. Everything is proportioned from the rail, not from the chisel you happen to own.
Show the formula
Tenon thickness = rail thickness / 3, rounded. Shoulder = 6, 10 or 14 mm by load class. Tenon width = rail width - 2 x shoulder. Tenon length = the lesser of 4.5 x tenon thickness and the available depth. Cheek waste = (rail thickness - tenon thickness) / 2. Mortise depth = tenon length + 2 mm.Traditional joinery proportions, not a structural code. Species strength, glue type and whether the joint is pegged or wedged all change what it will actually carry.
References and what each one provides
- EN 1995-1-1 (Eurocode 5)CENDesign of timber structures: fastener spacing and edge distances, connection capacity, and deflection limits.
- IS 883Bureau of Indian StandardsIndian code of practice for design of structural timber, including permissible stresses, joint design and deflection limits.
Unverified values are marked as such rather than presented as sourced.
Limitations of this calculation
Sizes the joint by proportion rules. It does not account for species strength, glue type, load direction, shoulder fit quality, or whether the joint is pegged, wedged or draw-bored.
Do not use this for Structural frame design, or joints carrying live loads in buildings.
Figures are engineering estimates from the inputs and assumptions shown. Verify against the actual material and, where the result affects structure or safety, against a qualified professional.
How to use this tool
- Enter your stock sizes below, then press Calculate.
- Pick your load category from the dropdown.
- Fill in rail width, rail thickness, stile thickness, rail span.
- Press Calculate.
Worked example
Common mistakes to avoid
- Making the tenon half the rail thickness on thin stock without checking the mortise walls. Walls under 6 mm split easily.
- Cutting the mortise depth equal to tenon length with no glue space. Leave 1–2 mm at the bottom.
- Orienting the tenon the weak way on wide rails. A wide, shallow tenon resists racking better than a narrow deep one.
