The Tool Mill

Mortise and Tenon Calculator

Lay out a mortise and tenon from the size of the rail: tenon thickness by the one-third rule, how much to remove from each cheek, the tenon width after shoulders, and how deep to cut the mortise.

The one-third rule

The traditional starting point is a tenon one-third the thickness of the rail, centered, so each cheek removes one-third as well. It leaves equal amounts of wood in the tenon and on each side of the mortise, which is a sensible balance between the strength of the tenon and the walls of the mortise.

In practice you then round the tenon to a size you can cut: a chisel width, a hollow-chisel mortiser bit or a router bit. The calculator rounds to the nearest 1/32 in (or 0.5 mm) so you can see how close the nearest tool size is.

Calculator

Stock the tenon is cut from.
Stock the mortise is cut into.
Default 1/8 in (or 3 mm in metric). Taken from each edge of the rail width.
Stub: your chosen length. Through: usually equals stile thickness.
Rounding: nearest 1/32 in, or nearest 0.5 mm.
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What the calculator works out

t = rail thickness ÷ 3 (rounded)  ·  cheek = (rail thickness − t) ÷ 2
tenon width = rail width − 2 × shoulder
stub mortise depth = tenon length + 1/16 in (1.5 mm)  ·  through mortise depth = stile thickness

The extra 1/16 in on a stub mortise leaves room for excess glue so the tenon can seat fully without hydraulic pressure stopping it short.

Tenon thickness by rail thickness

Rail thicknessT ÷ 3Rounded tenon (in)Cheek each sideNearest common chisel
0.625 in0.20830.21875 (7/32)0.203125 in3/16 or 1/4
0.75 in0.25000.25 (1/4)0.25 in1/4
0.875 in0.29170.28125 (9/32)0.296875 in1/4 or 5/16
1 in0.33330.34375 (11/32)0.328125 in5/16 or 3/8
1.25 in0.41670.40625 (13/32)0.421875 in3/8
1.5 in0.50000.5 (1/2)0.5 in1/2
1.75 in0.58330.59375 (19/32)0.578125 in1/2 or 5/8

When you round to a chisel, round the tenon down rather than up in thin rails, so the mortise walls do not get too thin. Recalculate the cheeks for the size you choose.

Examples

A ¾ in frame-and-panel door. Rail ¾ in, 2 in wide, ⅛ in shoulders, 1 in stub tenon: tenon ¼ in thick, cheeks ¼ in, tenon width 1.75 in, mortise 1.0625 in deep. A ¼ in chisel or mortiser bit is exactly right.

A 1 in table apron. One-third is 0.333 in, rounded to 11/32 in (0.34375). Most woodworkers would choose a ⅜ in chisel here and accept slightly thinner mortise walls, or a 5/16 in chisel for more wall — both are reasonable for a 1 in apron.

A through tenon in a 1¼ in leg. Choose “Through”: the mortise depth becomes the full stile thickness, 1.25 in. Cut from both faces to the middle to avoid blowout.

Metric. 20 mm rail, 70 mm wide, 5 mm shoulders, 25 mm stub tenon: tenon 6.5 mm, cheeks 6.75 mm, width 60 mm, mortise 26.5 mm deep. A 6 mm chisel is the nearest common size.

Fitting the joint

Limits

The one-third rule is a starting point, not a strength calculation. Very thin rails, highly figured wood, chairs and other racking-loaded joints often need different proportions. Haunched, wedged and tusk tenons are outside what this page models.

FAQ

How long should a tenon be?

A common guide is about 3 to 5 times the tenon thickness, or about two-thirds of the stile width for a stub tenon. Longer is not always better if it weakens the leg.

Why have shoulders on the edges?

Edge shoulders hide any ragged mortise ends and stop the joint from showing a gap if the rail shrinks in width.

What if the rail and stile are different thicknesses?

The tenon is sized from the rail. Center the mortise on the stile or offset it to keep the faces where you want them.

Can I enter millimetres?

Yes. Switch units and the rounding changes to 0.5 mm steps.