Wood Connection Calculator

Wood Connection Strength Calculator

Calculate Single Shear Allowable Design Values (Z) per NDS Guidelines

Southern Pine (G=0.55) Douglas Fir-Larch (G=0.50) Spruce-Pine-Fir (G=0.42) Cedar / Northern Pine (G=0.36)
Standard bolts are typically 45,000 PSI; Screws/Nails vary from 70k-100k PSI.

Connection Analysis

Allowable Design Value (Z): 0 lbs

*Note: Result is based on the Yield Limit Model for single shear. Includes a standard reduction factor (Rd) for safety. Does not include adjustment factors like CD, CM, or Ct.

How to Use the Wood Connection Calculator

Designing secure wood-to-wood connections requires understanding how fasteners interact with wood fibers. This calculator uses the Yield Limit Equations, which are the industry standard for determining the structural capacity of bolts, screws, and nails in single shear configurations.

Key Input Parameters

  • Specific Gravity (G): This represents the density of the wood species. Higher density wood (like Southern Pine) provides better bearing strength than softer woods (like Cedar).
  • Member Thickness: The "Main Member" is typically the thicker supporting timber, while the "Side Member" is the attached piece.
  • Fastener Diameter: The shank diameter of your bolt or screw. Larger diameters distribute load over a wider area.
  • Yield Strength (Fyb): The point at which the steel fastener begins to permanently deform.

Understanding the Results

The calculator evaluates different "modes" of failure, including wood crushing in either member or the fastener bending. The final result shown is the Allowable Design Value (Z), which is the lowest value calculated across all failure modes, adjusted by a reduction factor to ensure safety in real-world construction.

Practical Example

Suppose you are connecting a 2×4 (1.5″ thickness) side member to a 4×4 (3.5″ thickness) post using a 1/2″ diameter bolt (0.50″). If you are using Douglas Fir-Larch (G=0.50), the calculator will determine the bearing strength of the wood and the bending strength of the bolt to provide a safe load limit in pounds.

Safety Note: Structural calculations for permanent buildings should always be reviewed by a licensed structural engineer. This tool provides estimate values for preliminary design and educational purposes.
function calculateWoodConnection() { var G = parseFloat(document.getElementById("woodG").value); var D = parseFloat(document.getElementById("fDiameter").value); var tm = parseFloat(document.getElementById("mainThick").value); var ts = parseFloat(document.getElementById("sideThick").value); var Fyb = parseFloat(document.getElementById("yieldS").value); if (isNaN(D) || isNaN(tm) || isNaN(ts) || isNaN(Fyb) || D <= 0) { alert("Please enter valid positive numbers for all fields."); return; } // Dowel Bearing Strength (Fe) – Simplified NDS 16600 * G var Fem = 16600 * G; var Fes = 16600 * G; // Yield Limit Equations (Z) for Single Shear // Mode Im: Main member bearing var zIm = (D * tm * Fem); // Mode Is: Side member bearing var zIs = (D * ts * Fes); // Mode II: Fastener tilting (Simplified) var zII = (0.36 * D * tm * Fem); // Rough approximation for comparison // Mode IIIm: Main member bearing + fastener bending var k3 = -1 + Math.sqrt(2 * (1 + (Fes/Fem)) + (2 * Fyb * (1 + 2*(Fes/Fem)) * D * D) / (3 * Fem * tm * tm)); var zIIIm = (k3 * D * tm * Fem) / (1.6 + 0.67); // Using simplified denominator // Mode IV: Fastener Bending // Z = (D^2 / Rd) * Sqrt( (2 * Fem * Fyb) / (3 * (1 + Re)) ) var zIV = D * D * Math.sqrt((2 * Fem * Fyb) / 3); // Reduction Factor (Rd) – Approx 4.0 for bolts in single shear var Rd = 4.0; if (D < 0.25) Rd = 3.2; // Smaller fasteners like nails/screws have different factors // Finding the governing (minimum) yield limit var minYield = Math.min(zIm, zIs, zIV); var finalZ = minYield / Rd; // Display results var resBox = document.getElementById("result-box"); var resVal = document.getElementById("finalResult"); resBox.style.display = "block"; resVal.innerHTML = Math.round(finalZ).toLocaleString() + " lbs"; resBox.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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