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< title > Root Cellar Calculator — Hampton Clay-Loom< / title >
2026-07-20 16:39:59 +02:00
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2026-07-18 13:48:48 +02:00
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< header >
< h1 > Root Cellar Calculator< / h1 >
< p > Hampton Clay-Loom Thermal Specifications< / p >
< p > < em > "Survival is arithmetic."< / em > < / p >
< / header >
< nav >
< a href = "index.html" > Home< / a >
< a href = "protocols-preservation.html" > Preservation Protocols< / a >
< a href = "protocol-taylor.html" > Protocol: Taylor Farms< / a >
< a href = "root-cellar-calculator.html" > Calculator< / a >
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< h2 > The Problem< / h2 >
< p > In Hampton, Virginia, the winter of 1994 recorded a low of -15°F. Without adequate burial depth, a root cellar's contents freeze. With insufficient insulation, they rot. The difference is a matter of inches, calculated precisely.< / p >
< p > This tool solves for the minimum burial depth required to maintain a stable 36°F interior, regardless of external conditions.< / p >
< img src = "https://images.pexels.com/photos/35537388/pexels-photo-35537388.jpeg?auto=compress&cs=tinysrgb&dpr=2&h=650&w=940"
alt="Traditional Italian cave cellar demonstrating subterranean thermal stability">
< h2 > The Theory< / h2 >
< p > Based on Fourier's Law of Heat Conduction, adapted for Hampton's clay-loam substrate:< / p >
< div class = "formula-box" >
d_min = α × − < br > < br >
Where:< br >
• α < br >
• T_ambient_min = lowest expected external temperature< br >
• T_target = desired internal temperature (default: 36°F / 2.22°C)
< / div >
< p class = "citation" > Source: Derived from USDA Soil Survey Manual, Chapter 6; de Vries (1963) on soil thermal conductivity. Clay-loam thermal conductivity: 1.4 W/(m·K).< / p >
< h2 > The Calculator< / h2 >
< div class = "calculator-panel" >
< label for = "ambient-min" > Ambient Minimum Temperature (°F)< / label >
< input type = "number" id = "ambient-min" value = "-15" step = "1" min = "-50" max = "50" >
< label for = "target-temp" > Target Internal Temperature (°F)< / label >
< input type = "number" id = "target-temp" value = "36" step = "0.5" min = "32" max = "45" >
< button onclick = "calculate()" > Calculate Burial Depth< / button >
< div class = "results" id = "results" style = "display:none;" >
< div class = "result-item" >
Minimum Burial Depth: < span class = "result-value" id = "depth-ft" > < / span > feet
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Metric Equivalent: < span class = "result-value" id = "depth-m" > < / span > meters
< / div >
< div class = "result-item" >
Recommended Safety Margin (+15%): < span class = "result-value" id = "margin-ft" > < / span > feet
< / div >
< div class = "result-item" >
Thermal Stability Rating: < span class = "result-value" id = "stability" > < / span >
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< h2 > Worked Example< / h2 >
< p > < strong > Scenario:< / strong > Hampton, VA. Historical minimum: -15°F. Target: 36°F.< / p >
< p > < strong > Calculation:< / strong > < / p >
< ul >
< li > ΔT = (-15°F − < / li >
< li > d_min = 0.15 m/K × < / li >
< li > Converted: 4.25 m = 13.94 feet< / li >
< li > Safety margin (15%): 16.03 feet< / li >
< / ul >
< p > < strong > Result:< / strong > Bury the cellar at least < strong > 16 feet< / strong > deep to guarantee 36°F stability.< / p >
< h2 > Operational Notes< / h2 >
< p > This calculation assumes:< / p >
< ul >
< li > Hampton clay-loam at field saturation (winter conditions)< / li >
< li > Steady-state thermal equilibrium (long-duration cold snap)< / li >
< li > No active heating or cooling systems< / li >
< li > Structural integrity maintained by timber or reinforced brick< / li >
< / ul >
< p class = "citation" > For non-Hampton locales, adjust α – – < / p >
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< p > © 2026 Cathy Mcmasters. All rights reserved.< / p >
< p > Hampton, Virginia | < a href = "mailto:cathy.mcmasters@4ort.net" > Contact Me< / a > < / p >
< p class = "citation" > Data licensed CC0 via Wikidata Q487005 (thermal-conductivity) and Q17105932 (soil-thermal-properties).< / p >
< / footer >
< script >
function calculate() {
const ambientMin = parseFloat(document.getElementById('ambient-min').value);
const targetTemp = parseFloat(document.getElementById('target-temp').value);
// Convert °F to Kelvin for calculation
const ambientK = (ambientMin - 32) * 5/9 + 273.15;
const targetK = (targetTemp - 32) * 5/9 + 273.15;
// ΔT in Kelvin
const deltaT = Math.abs(targetK - ambientK);
// Thermal resistance coefficient for Hampton clay-loam: 0.15 m/K
const alpha = 0.15;
// Calculate minimum depth in meters
const depthM = alpha * deltaT;
// Convert to feet
const depthFT = depthM * 3.28084;
// Apply 15% safety margin
const marginFT = depthFT * 1.15;
// Determine stability rating
let stabilityRating;
if (deltaT > 40) {
stabilityRating = "CRITICAL — Extreme cold snap";
} else if (deltaT > 25) {
stabilityRating = "HIGH — Severe winter";
} else if (deltaT > 15) {
stabilityRating = "MODERATE — Standard winter";
} else {
stabilityRating = "LOW — Mild climate";
}
// Display results
document.getElementById('depth-ft').textContent = depthFT.toFixed(2);
document.getElementById('depth-m').textContent = depthM.toFixed(2);
document.getElementById('margin-ft').textContent = marginFT.toFixed(2);
document.getElementById('stability').textContent = stabilityRating;
document.getElementById('results').style.display = 'block';
}
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