389 lines
15 KiB
HTML
389 lines
15 KiB
HTML
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<html lang="en">
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>Material Shear Calculator | Alexander West</title>
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<link rel="stylesheet" href="/styles.css">
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<style>
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:root {
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.verdict {
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margin-top: 1vmin;
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.verdict.fail {
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.formula {
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background: var(--horizon-grey);
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padding: 2vmin;
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.citation {
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.image-container img {
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.caption {
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.data-table th, .data-table td {
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.data-table th {
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}
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.work-example {
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background: rgba(205, 127, 50, 0.1);
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padding: 2vmin;
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border-left: 3px solid var(--seam-gold);
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margin: 2vmin 0;
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}
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.nav-back {
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display: inline-block;
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margin-bottom: 2vmin;
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color: var(--vein-bronze);
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text-decoration: none;
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font-size: 0.9rem;
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text-transform: uppercase;
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letter-spacing: 0.1em;
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}
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.nav-back:hover {
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color: var(--seam-gold);
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}
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</style>
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<script defer src="https://analytics.4ort.xyz/script.js" data-website-id="d3ed927c-888a-4a6c-ae5f-0b1c613ddf5b"></script>
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</head>
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<body>
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<div class="container">
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<a href="/" class="nav-back">← Back to Colony Hub</a>
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<header>
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<h1>MATERIAL SHEAR CALCULATOR</h1>
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<p class="subtitle">WEISER MUNICIPAL SPECS × ALUMINIUM SHEAR MODULUS × DOMES</p>
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</header>
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<div class="grid">
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<section class="left-col">
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<div class="panel">
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<h2>ENGINEERING CONTEXT</h2>
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<p style="margin-bottom: 2vmin;">
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When the shear modulus holds, the whole structure breathes easy. Every beam we place in the dome must pass this calculation before the crane lifts.
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</p>
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<div class="formula">
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G = τ / γ<br><br>
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Where:<br>
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• G = Shear Modulus (Pa)<br>
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• τ = Shear Stress (Pa)<br>
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• γ = Shear Strain (dimensionless)
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</div>
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<p class="citation">
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Source: <a href="https://4ort.xyz/entity/shear-modulus" target="_blank">ISO 80000-4:2019 Quantities and Units — Part 4: Mechanics</a> | Wikidata Q461466
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</p>
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<div class="image-container">
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<img src="https://images-assets.nasa.gov/image/SSC-20090409-S00509/SSC-20090409-S00509~medium.jpg" alt="NASA A-3 steel work completion showing structural integrity verification">
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<div class="caption">NASA A-3 Steel Work Complete — Public Domain via NASA Image Archive</div>
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</div>
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<p style="font-size: 0.9rem; color: var(--vein-bronze);">
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This is the moment the weld locks. The caliper reads true. The prairie horizon becomes the dome's spine.
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</p>
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</div>
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<div class="panel">
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<h2>MATERIAL LIBRARY</h2>
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<table class="data-table">
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<thead>
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<tr>
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<th>Material</th>
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<th>Shear Modulus (GPa)</th>
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<th>Density (kg/m³)</th>
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<th>Use Case</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>Structural Steel</td>
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<td>79.3</td>
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<td>7850</td>
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<td>Primary Framework</td>
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</tr>
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<tr>
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<td>Aluminium Alloy 6061</td>
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<td>26.0</td>
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<td>2700</td>
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<td>Lightweight Panels</td>
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</tr>
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<tr>
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<td>Titanium Grade 5</td>
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<td>41.4</td>
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<td>4430</td>
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<td>Critical Joints</td>
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</tr>
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<tr>
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<td>Carbon Fiber Composite</td>
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<td>30-50</td>
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<td>1600</td>
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<td>High-Stress Membrane</td>
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</tr>
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</tbody>
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</table>
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<p class="citation">
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Material constants sourced from: <a href="https://4ort.xyz/entity/aluminium" target="_blank">Wikidata Q663 (Aluminium)</a>, <a href="https://4ort.xyz/entity/steel" target="_blank">Wikidata Q11427 (Steel)</a>
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</p>
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</div>
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</section>
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<section class="right-col">
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<div class="panel">
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<h2>SHEAR VERIFICATION ENGINE</h2>
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<label for="material">Select Material</label>
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<select id="material">
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<option value="79.3">Structural Steel (79.3 GPa)</option>
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<option value="26.0">Aluminium 6061 (26.0 GPa)</option>
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<option value="41.4">Titanium Grade 5 (41.4 GPa)</option>
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<option value="40.0">Carbon Fiber Composite (~40 GPa)</option>
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</select>
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<label for="stress">Applied Shear Stress (MPa)</label>
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<input type="number" id="stress" placeholder="Enter stress value..." step="0.1">
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<label for="strain">Measured Shear Strain (×10⁻⁶)</label>
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<input type="number" id="strain" placeholder="Enter microstrain..." step="0.01">
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<button onclick="calculate()">CALCULATE INTEGRITY</button>
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<div id="results" class="result" style="display:none;">
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<div class="result-value" id="calc-result"></div>
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<div class="result-label">Calculated Shear Modulus (GPa)</div>
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<div class="verdict" id="verdict"></div>
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</div>
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</div>
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<div class="panel">
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<h2>WORKED EXAMPLE</h2>
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<div class="work-example">
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<p><strong>Weiser Dome Beam Test:</strong></p>
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<ul style="margin-left: 2vmin; margin-top: 1vmin;">
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<li>Material: Structural Steel (Gₑₓₚₑcₜₑd = 79.3 GPa)</li>
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<li>Applied Shear Stress: 450 MPa</li>
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<li>Measured Strain: 5,675 με (microstrain)</li>
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<li>Calculation: G = 450 / (5,675 × 10⁻⁶) = 79.29 GPa</li>
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<li><span style="color: var(--seam-gold);">✓ PASS</span> — Within 0.01% tolerance</li>
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</ul>
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</div>
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<p style="font-size: 0.9rem; color: var(--vein-bronze);">
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Every number in this ledger is traceable. Every weld is accountable.
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</p>
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</div>
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</section>
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</div>
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</div>
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<script>
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const MATERIAL_THRESHOLDS = {
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"79.3": { min: 75, max: 85, name: "Structural Steel" },
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"26.0": { min: 24, max: 30, name: "Aluminium 6061" },
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"41.4": { min: 38, max: 46, name: "Titanium Grade 5" },
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"40.0": { min: 35, max: 50, name: "Carbon Fiber" }
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};
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function calculate() {
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|||
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const materialBase = document.getElementById('material').value;
|
|||
|
|
const stressInput = parseFloat(document.getElementById('stress').value);
|
|||
|
|
const strainInput = parseFloat(document.getElementById('strain').value);
|
|||
|
|
|
|||
|
|
if (!stressInput || !strainInput) {
|
|||
|
|
alert("ENTER BOTH STRESS AND STRAIN VALUES");
|
|||
|
|
return;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Convert: stress in MPa, strain in microstrain
|
|||
|
|
const stress_Pa = stressInput * 1e6;
|
|||
|
|
const strain_dimensionless = strainInput * 1e-6;
|
|||
|
|
|
|||
|
|
// Calculate G in Pa, then convert to GPa
|
|||
|
|
const G_Pa = stress_Pa / strain_dimensionless;
|
|||
|
|
const G_GPa = G_Pa / 1e9;
|
|||
|
|
|
|||
|
|
const resultsDiv = document.getElementById('results');
|
|||
|
|
const resultValue = document.getElementById('calc-result');
|
|||
|
|
const verdictDiv = document.getElementById('verdict');
|
|||
|
|
|
|||
|
|
resultsDiv.style.display = 'block';
|
|||
|
|
resultValue.textContent = G_GPa.toFixed(2);
|
|||
|
|
|
|||
|
|
const threshold = MATERIAL_THRESHOLDS[materialBase];
|
|||
|
|
const withinTolerance = G_GPa >= threshold.min && G_GPa <= threshold.max;
|
|||
|
|
|
|||
|
|
verdictDiv.className = 'verdict ' + (withinTolerance ? 'pass' : 'fail');
|
|||
|
|
verdictDiv.innerHTML = withinTolerance
|
|||
|
|
? `✓ ${threshold.name} INTEGRITY CONFIRMED (${((G_GPa/threshold.min)*100).toFixed(1)}% of minimum)`
|
|||
|
|
: `✗ ${threshold.name} FAILED (expected ${threshold.min}-${threshold.max} GPa)`;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Load JSON twin
|
|||
|
|
fetch('/material-shear-calculator.json')
|
|||
|
|
.then(r => r.json())
|
|||
|
|
.then(data => console.log('JSON twin loaded:', data))
|
|||
|
|
.catch(e => console.warn('JSON twin offline'));
|
|||
|
|
</script>
|
|||
|
|
</body>
|
|||
|
|
</html>
|