MachineCalcs

Mortise and Tenon Calculator

Lay out a woodworking mortise and tenon joint from stock thickness, member width, tenon thickness, shoulders, tenon length and fit clearances.

Materials 8 inputs 14 results

Calculator

Thickness through the tenon cheeks.
in
Width across the tenon face before subtracting shoulders.
in
Finished tenon thickness after cheek cuts. A common starting point is around one third of the stock thickness.
in
Shoulder left on each end of the tenon face. Tenon width is member width minus two shoulders.
in
Tenon length entering the mortise before bottom clearance.
in
Mortise width allowance on each tenon cheek.
in
Mortise length allowance at each end of the tenon width.
in
Extra mortise depth beyond finished tenon length for glue and tool-bottom allowance.
in

Results

Default result
Edit inputs
Tenon thickness ratio(t_t/T)
33.33%
Pass

finished tenon thickness divided by stock thickness

Also computed

Cheek cut depth each side(d_c)Pass0.25in

(stock thickness - tenon thickness) / 2

Finished tenon width(W_t)Pass2.5in

member width minus two shoulders

Shoulder width each side(S)Pass0.25in

Shoulder coverage(2S/W)16.67%

Mortise width(W_m)Pass0.256in

tenon thickness plus total cheek clearance

Mortise length(L_m)2.53in

tenon width plus end clearance

Mortise and tenon layout previewMortise and tenon layout previewFinished tenon geometry drives mortise width, length and depth allowances.shoulderstenon widthcheek cutsmortise pocketTenon2.50 in wideMortise0.256 x 2.53 inCheek cut0.250 in
Method notes 6 notes
  • Tenon width = member width - 2 x shoulder width.
  • Cheek cut depth each side = (stock thickness - tenon thickness) / 2.
  • Mortise width = tenon thickness + 2 x side clearance.
  • Mortise length = tenon width + 2 x end clearance.
  • Mortise depth = tenon length + bottom clearance.
  • This is a layout screen only. It does not model joint strength, racking, wood species, grain runout, glue chemistry, shrinkage, tool deflection, haunches, wedges, drawbore pins or frame-and-panel movement.

Mortise and tenon layout starts from finished tenon geometry. Tenon width is member width minus two shoulders, cheek cut depth is (stock thickness - tenon thickness)/2, and mortise width, length and depth are the finished tenon dimensions plus side, end and bottom clearances. This calculator reports tenon thickness ratio, cheek cuts, shoulders, mortise dimensions, glue-contact area and layout warnings.

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How to use this calculator

  1. Enter stock dimensions. Use the actual stock thickness and the rail or member width across the tenon face.
  2. Choose tenon geometry. Enter finished tenon thickness, shoulder width each side and tenon length.
  3. Add fit allowances. Set cheek-side clearance, end clearance and bottom clearance for your tool setup and glue allowance.
  4. Cut and test fit. Use the calculated cheek cut depth, tenon width and mortise dimensions as a starting point, then verify on scrap from the same stock.

How it works

The calculator starts from the finished tenon. Tenon width is the member width after subtracting both shoulders: W_t = W - 2S where W is the rail or member width and S is the shoulder width on each side.

Cheek cuts center the tenon in the stock thickness: d_c = (T - t_t) / 2 where T is stock thickness and t_t is finished tenon thickness. The tenon thickness ratio is t_t / T x 100

The mortise is then sized from the tenon plus allowance: W_m = t_t + 2C_s L_m = W_t + 2C_e D_m = L_t + C_b where C_s is cheek-side clearance, C_e is end clearance and C_b is bottom clearance.

Pair the result with the cut list calculator for repeated rails and stiles, the dovetail spacing calculator for drawer joinery, the wood movement calculator for seasonal fit checks and the cabinet door size calculator when the joint belongs to a door or face-frame workflow.

Worked example

Verified against the live calculator

For 3/4 in stock, a 3 in rail, a 1/4 in finished tenon, 1/4 in shoulders and a 1-1/4 in tenon length, the tenon is 33.3% of stock thickness. The cheek cut depth is 0.250 in per side and the finished tenon width is 2.500 in. With 0.003 in side clearance, 0.015 in end clearance and 1/16 in bottom clearance, the mortise screens at about 0.256 x 2.530 x 1.313 in.

Frequently asked questions

How thick should a tenon be?

A common first layout is roughly one third of the stock thickness, but final size depends on stock, tools, joint style and strength needs. This calculator reports the tenon thickness ratio and cheek cut depth so the setup is visible.

How do I size the mortise from the tenon?

Use the finished tenon thickness and width, then add small fit allowances. Mortise width is tenon thickness plus cheek-side clearance; mortise length is tenon width plus end clearance; mortise depth is tenon length plus bottom clearance.

Does this calculate mortise and tenon strength?

No. It is a dimensional layout screen. Joint strength depends on species, grain, glue, shoulder bearing, racking load, tenon length, fit, drawbore or wedge details and the actual furniture or frame design.

Should the mortise be deeper than the tenon?

Usually yes, by a small bottom clearance so the tenon can seat fully and glue or tool-bottom irregularity does not hold the shoulder open. The bottom clearance ratio output keeps that allowance visible.

Method & assumptions

  • Tenon is assumed centered through the stock thickness, with equal cheek cuts on both faces.
  • Shoulders are assumed equal on both sides of the tenon width.
  • Mortise dimensions include entered fit clearances; they are not tool recommendations.
  • Glue contact area is side-wall contact only and is not a strength rating.
  • Does not model haunched tenons, wedges, drawbore pins, angled shoulders, loose tenons, domino-style tooling, racking strength, wood movement, grain runout, glue selection, tool deflection or production fixtures.
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