Mortgsge Calculator

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Mortgsge Structural Load Calculator

Structural Analysis Output

Surface Contact Area: mm²

Stress Distribution: MPa

Integrity Index:

function calculateMortgsgeStress() { var width = parseFloat(document.getElementById('jointWidth').value); var depth = parseFloat(document.getElementById('jointDepth').value); var force = parseFloat(document.getElementById('appliedForce').value); var density = parseFloat(document.getElementById('materialDensity').value); var resultDiv = document.getElementById('mortgsgeResult'); if (isNaN(width) || isNaN(depth) || isNaN(force) || isNaN(density) || width <= 0 || depth 0.5) { warning.innerText = "WARNING: High Stress Concentration. Structural failure risk."; warning.style.color = "#e74c3c"; } else { warning.innerText = "STATUS: Stable. Load is within structural tolerances."; warning.style.color = "#27ae60"; } resultDiv.style.display = 'block'; }

Understanding the Mortgsge Structural Calculation

In the field of high-precision woodworking and timber framing, the Mortgsge (often referred to as the Mortise-Gauge) is a critical calculation used to determine the maximum load-bearing capacity of a joint. Unlike standard fastener calculations, the Mortgsge focuses on the surface area interaction between the male tenon and the female mortise cavity.

Key Physics Parameters

Calculating the integrity of a joint requires four primary data points that define the mechanical bond:

  • Tenon Width: The horizontal dimension of the protruding member that enters the cavity.
  • Insertion Depth: How deep the member penetrates the opposing timber, dictating the friction surface.
  • Applied Force: The total load in Newtons that the joint will be expected to resist during structural use.
  • Material Density: Measured in kg/m³, this determines the fiber crush strength of the wood species.

The Math Behind the Gauge

The calculation follows the fundamental laws of mechanical engineering. We first determine the Contact Surface Area. In a standard rectangular mortise, this is the sum of the areas of all four internal faces. The formula utilized in this tool is:

Stress (MPa) = Force (N) / Total Surface Area (mm²)

The result, expressed in Megapascals (MPa), indicates the pressure exerted on the wood fibers. Hardwoods like Oak or Maple can withstand significantly higher stress levels than softwoods like Pine or Cedar.

Practical Example of Mortgsge Calculation

Imagine you are building a heavy-duty workbench. If your joint width is 50mm, the depth is 40mm, and you apply a force of 500 Newtons, the calculator determines the stress distribution. If you are using a low-density wood (e.g., 400 kg/m³), the Integrity Index will be lower, suggesting a need for a deeper insertion depth or a wider tenon to distribute the load more effectively.

Why This Matters for Structural Design

Failure to properly calculate the Mortgsge can lead to "joint racking" or complete shear failure. By optimizing the ratio between width and depth, designers can maximize the longevity of the structure without requiring excessive material usage. Use this calculator to experiment with different dimensions to find the "Sweet Spot" of joint efficiency.

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