Mortise & Tenon Stress Verifier

Double-measure the joint. Once-cut the beam.
Traditional wood joinery craftsmanship showing precise mortise and tenon assembly
Fig 1: Precision joinery work — the kind of fit that holds a cathedral roof for centuries.

The Principle

In the 1930s workshops of Canton, we didn't guess whether a joint would hold. We calculated it. A mortise-and-tenon fails not from lack of glue, but from shear stress exceeding the wood's parallel-to-grain strength.

Formula: τ = F / A
Where:
• τ = Shear stress (MPa)
• F = Applied force (Newtons)
• A = Tenon shear area (mm²) = width × length

Oak baseline: Red oak parallel-to-grain shear strength ≈ 9.0 MPa (Forest Products Lab, 1938).

Source: U.S. Forest Products Laboratory, Wood Handbook (1938 ed.), Table 4.2. Verified against modern ASTM D143 standards.

Input Your Joint

Results

Awaiting Calculation...

Enter dimensions and load to begin.

Why This Matters

I've seen young volunteers rush a cut because "it looks close enough." Close enough gets people killed. This tool forces you to measure twice.

In my day, we carved these joints for church floors, bridge trusses, and the frames of houses that would shelter generations. Today, the stakes are the same — only the materials change.

Safety Margin Rule: Any joint calculating > 7.2 MPa (80% of oak's limit) requires reinforcement. No exceptions.