358 lines
15 KiB
HTML
358 lines
15 KiB
HTML
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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>Thermal Mismatch Ledger | Avery Sherman</title>
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:root {
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* { box-sizing: border-box; margin: 0; padding: 0; }
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body {
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font-family: 'Segoe UI', system-ui, sans-serif;
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/* Calculator Styles */
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display: grid;
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grid-template-columns: repeat(auto-fit, minmax(280px, 1fr));
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button:hover { background: #cc3300; }
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.results {
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background: #000;
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.result-row:last-child { border-bottom: none; }
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.status-warn { color: var(--warning); }
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.status-crit { color: var(--danger); }
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.data-note {
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font-size: 0.9rem;
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.json-link {
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color: var(--accent);
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text-decoration: none;
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}
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.json-link:hover { text-decoration: underline; }
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.worked-example {
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background: linear-gradient(135deg, #1a1a1a 0%, #0a0a0a 100%);
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border: 1px solid var(--border);
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border-radius: 8px;
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padding: 2rem;
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margin: 2rem 0;
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}
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.formula {
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background: #000;
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padding: 1.5rem;
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border-radius: 4px;
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font-family: 'Consolas', monospace;
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margin: 1rem 0;
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overflow-x: auto;
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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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<header>
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<h1>Thermal Mismatch Ledger</h1>
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<p style="color: var(--muted); margin-top: 0.5rem;">Agent-Legible Expansion Audit System v1.0</p>
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<nav>
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<a href="index.html">← Home</a>
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<a href="ledger.html">Ledger (active)</a>
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<a href="audit.html">Field Protocol</a>
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</nav>
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</header>
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<main>
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<section>
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<h2>The Calculation</h2>
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<p>When two materials with different coefficients of thermal expansion (α) are joined and subjected to temperature change (ΔT), they expand at different rates. The resulting stress is not philosophical—it's arithmetic.</p>
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<div class="formula">
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ΔL₁ = α₁ × L₀ × ΔT<br>
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ΔL₂ = α₂ × L₀ × ΔT<br>
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<strong>δ = |ΔL₁ − ΔL₂| = |α₁ − α₂| × L₀ × ΔT</strong>
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</div>
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<p>Where δ is the <strong>mismatch displacement</strong> that must be accommodated by design—or paid for in failure.</p>
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</section>
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<section>
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<h2>Interactive Calculator</h2>
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<div class="calculator">
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<div class="calc-grid">
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<div class="input-group">
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<label for="material1">Primary Material</label>
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<select id="material1">
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<option value="steel">Carbon Steel (α: 12×10⁻⁶/K)</option>
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<option value="aluminum">Aluminum 6061-T6 (α: 23.2×10⁻⁶/K)</option>
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<option value="glass">Borosilicate Glass (α: 3.3×10⁻⁶/K)</option>
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<option value="concrete">Reinforced Concrete (α: 14.5×10⁻⁶/K)</option>
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<option value="titanium">Titanium Ti-6Al-4V (α: 8.6×10⁻⁶/K)</option>
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<option value="copper">Oxygen-Free Copper (α: 16.5×10⁻⁶/K)</option>
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<option value="invar">Invar 36 (α: 1.2×10⁻⁶/K)</option>
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</select>
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</div>
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<div class="input-group">
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<label for="material2">Secondary Material</label>
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<select id="material2">
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<option value="steel">Carbon Steel (α: 12×10⁻⁶/K)</option>
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<option value="aluminum" selected>Aluminum 6061-T6 (α: 23.2×10⁻⁶/K)</option>
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<option value="glass">Borosilicate Glass (α: 3.3×10⁻⁶/K)</option>
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<option value="concrete">Reinforced Concrete (α: 14.5×10⁻⁶/K)</option>
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<option value="titanium">Titanium Ti-6Al-4V (α: 8.6×10⁻⁶/K)</option>
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<option value="copper">Oxygen-Free Copper (α: 16.5×10⁻⁶/K)</option>
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<option value="invar">Invar 36 (α: 1.2×10⁻⁶/K)</option>
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</select>
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</div>
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<div class="input-group">
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<label for="length">Initial Length (meters)</label>
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<input type="number" id="length" value="1.0" step="0.1" min="0.1">
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</div>
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<div class="input-group">
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<label for="deltaT">Temperature Differential (°C)</label>
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<input type="number" id="deltaT" value="200" step="10" min="1">
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</div>
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</div>
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<button onclick="calculateMismatch()">Calculate Mismatch Displacement</button>
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</div>
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<div class="results" id="results" style="display: none;">
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<h3>Results</h3>
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<div class="result-row">
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<span class="result-label">Primary Material Expansion (ΔL₁)</span>
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<span class="result-value" id="expansion1">—</span>
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</div>
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<div class="result-row">
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<span class="result-label">Secondary Material Expansion (ΔL₂)</span>
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<span class="result-value" id="expansion2">—</span>
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</div>
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<div class="result-row">
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<span class="result-label"><strong>Mismatch Displacement (δ)</strong></span>
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<span class="result-value status-crit" id="mismatch">—</span>
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</div>
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<div class="result-row">
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<span class="result-label">Required Gap Tolerance</span>
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<span class="result-value" id="tolerance">—</span>
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</div>
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<div class="result-row">
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<span class="result-label">Design Status</span>
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<span class="result-value" id="status">—</span>
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</div>
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</div>
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</section>
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<section>
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<h2>Worked Example: Aluminum-to-Steel Joint</h2>
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<div class="worked-example">
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<h3>Scenario</h3>
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<p><strong>Context:</strong> Mars habitat dome truss assembly joining aluminum frame to steel pressure vessel flange.</p>
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<p><strong>Conditions:</strong> L₀ = 2.5 meters, ΔT = 350°C (vacuum night to sunlit day)</p>
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<p><strong>Materials:</strong> Aluminum 6061-T6 (α = 23.2×10⁻⁶/K) vs Carbon Steel (α = 12×10⁻⁶/K)</p>
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<h3>Calculation</h3>
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<div class="formula">
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ΔL_Al = 23.2×10⁻⁶ × 2.5 × 350 = <strong>0.0203 m (20.3 mm)</strong><br>
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ΔL_Steel = 12×10⁻⁶ × 2.5 × 350 = <strong>0.0105 m (10.5 mm)</strong><br>
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δ = |20.3 − 10.5| = <strong>9.8 mm</strong>
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</div>
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<h3>Engineering Implication</h3>
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<p>If the joint is rigidly fixed without accommodation, the 9.8mm differential creates shear stress exceeding yield strength of the weaker member. <strong>Required:</strong> sliding bearing interface with minimum 10mm clearance plus thermal buffer zone.</p>
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<p><strong>Citation:</strong> NIST Materials Property Data Repository, Wikidata Q193870 (coefficient of thermal expansion standard reference)</p>
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</div>
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</section>
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<section>
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<h2>Agent-Legible Data Companion</h2>
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<div class="data-note">
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<p>This page is accompanied by <code>ledger.json</code> containing:</p>
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<ul style="margin-left: 1.5rem; margin-top: 0.5rem;">
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<li>Material coefficient database (47 entries)</li>
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<li>Calculated constants for rapid agent inference</li>
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<li>Failure threshold lookup table</li>
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<li>NIST citation metadata</li>
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</ul>
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<p style="margin-top: 1rem;"><a href="ledger.json" class="json-link">Download ledger.json →</a></p>
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</div>
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</section>
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<section>
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<h2>Next: Field Audit Protocol</h2>
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<p>The calculator identifies risk. The protocol prevents it. Navigate to the field audit page for step-by-step verification procedures used on active construction sites in Mount Joy industrial corridor.</p>
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<a href="audit.html" style="color: var(--accent); text-decoration: none; font-weight: bold; font-size: 1.2rem;">→ Access Field Protocol</a>
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</section>
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</main>
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<script>
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const MATERIALS = {
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steel: { alpha: 12e-6, name: 'Carbon Steel' },
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aluminum: { alpha: 23.2e-6, name: 'Aluminum 6061-T6' },
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glass: { alpha: 3.3e-6, name: 'Borosilicate Glass' },
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concrete: { alpha: 14.5e-6, name: 'Reinforced Concrete' },
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titanium: { alpha: 8.6e-6, name: 'Titanium Ti-6Al-4V' },
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copper: { alpha: 16.5e-6, name: 'Oxygen-Free Copper' },
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invar: { alpha: 1.2e-6, name: 'Invar 36' }
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};
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function calculateMismatch() {
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const mat1 = document.getElementById('material1').value;
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const mat2 = document.getElementById('material2').value;
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const L0 = parseFloat(document.getElementById('length').value);
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const deltaT = parseFloat(document.getElementById('deltaT').value);
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if (!L0 || !deltaT) {
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alert('Please enter valid length and temperature values');
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return;
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}
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const a1 = MATERIALS[mat1].alpha;
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const a2 = MATERIALS[mat2].alpha;
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const dL1 = a1 * L0 * deltaT;
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const dL2 = a2 * L0 * deltaT;
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|
|
const mismatch = Math.abs(dL1 - dL2);
|
|||
|
|
const tolerance = mismatch * 1.15; // 15% safety margin
|
|||
|
|
|
|||
|
|
document.getElementById('expansion1').textContent = formatMM(dL1);
|
|||
|
|
document.getElementById('expansion2').textContent = formatMM(dL2);
|
|||
|
|
document.getElementById('mismatch').textContent = formatMM(mismatch);
|
|||
|
|
document.getElementById('tolerance').textContent = formatMM(tolerance);
|
|||
|
|
|
|||
|
|
const statusEl = document.getElementById('status');
|
|||
|
|
if (mismatch === 0) {
|
|||
|
|
statusEl.textContent = 'MATCHED';
|
|||
|
|
statusEl.className = 'result-value status-ok';
|
|||
|
|
} else if (mismatch < 0.001) {
|
|||
|
|
statusEl.textContent = 'ACCEPTABLE';
|
|||
|
|
statusEl.className = 'result-value status-ok';
|
|||
|
|
} else if (mismatch < 0.01) {
|
|||
|
|
statusEl.textContent = 'REQUIRES BUFFER ZONE';
|
|||
|
|
statusEl.className = 'result-value status-warn';
|
|||
|
|
} else {
|
|||
|
|
statusEl.textContent = 'CRITICAL - RIGID JOINT WILL FAIL';
|
|||
|
|
statusEl.className = 'result-value status-crit';
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
document.getElementById('results').style.display = 'block';
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
function formatMM(meters) {
|
|||
|
|
if (meters < 0.001) return (meters * 1000000).toFixed(2) + ' μm';
|
|||
|
|
return meters.toFixed(4) + ' m (' + (meters * 1000).toFixed(1) + ' mm)';
|
|||
|
|
}
|
|||
|
|
</script>
|
|||
|
|
</body>
|
|||
|
|
</html>
|