Ms Hex Bar Weight Calculation Formula

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MS Hex Bar Weight Calculation Formula | Professional Steel Weight Calculator /* CSS Variables & Reset */ :root { –primary-color: #004a99; –primary-dark: #003377; –success-color: #28a745; –bg-color: #f8f9fa; –text-color: #333; –border-radius: 8px; –shadow: 0 4px 6px rgba(0,0,0,0.1); } * { box-sizing: border-box; margin: 0; padding: 0; } body { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; line-height: 1.6; color: var(–text-color); background-color: var(–bg-color); padding: 20px; } /* Layout Container */ .container { max-width: 900px; margin: 0 auto; background: white; padding: 40px; border-radius: var(–border-radius); box-shadow: var(–shadow); } /* Header */ header { text-align: center; margin-bottom: 40px; border-bottom: 2px solid var(–primary-color); padding-bottom: 20px; } h1 { color: var(–primary-color); font-size: 2.5rem; margin-bottom: 10px; } h2, h3 { color: var(–primary-dark); margin-top: 30px; margin-bottom: 15px; } p { margin-bottom: 15px; } /* Calculator Styles */ .loan-calc-container { background-color: #f0f4f8; padding: 30px; border-radius: var(–border-radius); border: 1px solid #d1d9e6; margin-bottom: 40px; } .input-group { margin-bottom: 20px; } .input-group label { display: block; font-weight: bold; margin-bottom: 8px; color: var(–primary-dark); } .input-group input, .input-group select { width: 100%; padding: 12px; border: 1px solid #ccc; border-radius: 4px; font-size: 16px; } .input-group input:focus { border-color: var(–primary-color); outline: none; box-shadow: 0 0 0 3px rgba(0, 74, 153, 0.1); } .helper-text { font-size: 0.85rem; color: #666; margin-top: 5px; } .error-msg { color: #dc3545; font-size: 0.85rem; margin-top: 5px; display: none; } .btn-group { display: flex; gap: 15px; margin-top: 20px; } button { padding: 12px 24px; border: none; border-radius: 4px; cursor: pointer; font-size: 16px; font-weight: bold; transition: background 0.2s; } .btn-reset { background-color: #6c757d; color: white; } .btn-copy { background-color: var(–primary-color); color: white; } .btn-copy:hover { background-color: var(–primary-dark); } /* Results Area */ .results-section { margin-top: 30px; background: white; padding: 20px; border-radius: var(–border-radius); border-left: 5px solid var(–success-color); } .main-result { text-align: center; padding: 20px; background-color: #e8f5e9; border-radius: var(–border-radius); margin-bottom: 20px; } .main-result h3 { margin: 0; font-size: 1.2rem; color: #2e7d32; } .result-value { font-size: 3rem; font-weight: 800; color: var(–success-color); margin: 10px 0; } .formula-explanation { background: #eef2f7; padding: 15px; border-radius: 4px; font-size: 0.9rem; margin-bottom: 20px; } /* Table & Chart */ table { width: 100%; border-collapse: collapse; margin-bottom: 25px; font-size: 0.95rem; } th, td { padding: 12px; border-bottom: 1px solid #ddd; text-align: left; } th { background-color: var(–primary-color); color: white; } tr:nth-child(even) { background-color: #f9f9f9; } .chart-container { width: 100%; height: 300px; margin: 30px 0; position: relative; background: white; border: 1px solid #eee; border-radius: 4px; padding: 10px; } /* SEO Article Styles */ .article-section { border-top: 1px solid #eee; padding-top: 40px; } .variable-list { list-style: none; padding: 0; } .variable-list li { padding: 10px; border-bottom: 1px solid #eee; } .variable-list strong { color: var(–primary-color); display: inline-block; width: 120px; } .faq-item { margin-bottom: 20px; background: #fff; border: 1px solid #e9ecef; border-radius: 4px; padding: 15px; } .faq-question { font-weight: bold; color: var(–primary-dark); margin-bottom: 10px; display: block; } .related-tools { background: #f1f3f5; padding: 20px; border-radius: var(–border-radius); margin-top: 40px; } .related-tools ul { list-style: none; padding: 0; } .related-tools li { margin-bottom: 10px; } .related-tools a { color: var(–primary-color); text-decoration: none; font-weight: bold; } .related-tools a:hover { text-decoration: underline; } canvas { width: 100%; height: 100%; } @media (max-width: 600px) { .container { padding: 20px; } .btn-group { flex-direction: column; } .result-value { font-size: 2.2rem; } }

MS Hex Bar Weight Calculation Formula

Professional estimator for Mild Steel (MS) hexagonal bar weights, volumes, and material costs.

Hex Bar Weight Calculator

The distance between two opposite flat sides of the hexagon.
Please enter a positive width.
Total length of the bar. Standard stock length is often 6m.
Please enter a positive length.
Number of bars needed.
Please enter a valid quantity.
Mild Steel (MS) – 7850 kg/m³ Stainless Steel (304/316) – 7900 kg/m³ Aluminum – 2700 kg/m³ Brass – 8500 kg/m³ Copper – 8960 kg/m³
Default is Mild Steel. Change for other materials.

Total Weight

0.00 kg
0.00 lbs
Formula Used: Weight = (0.866 × Width² × Length × Density) / 1,000,000
*Where width is in mm and length in meters.
Parameter Value
Unit Weight (per meter) 0.00 kg/m
Cross-Sectional Area 0.00 mm²
Total Volume 0.00 cm³
Total Quantity 1

Weight Comparison by Standard Sizes (1m Length)

Chart compares your input size against standard MS hex bar sizes.

What is the MS Hex Bar Weight Calculation Formula?

The ms hex bar weight calculation formula is a mathematical method used by engineers, steel fabricators, and procurement specialists to determine the theoretical mass of Mild Steel (MS) hexagonal bars. Unlike round or square bars, hexagonal bars have six sides, requiring a specific geometric approach to calculate their cross-sectional area and subsequent volume.

Hexagonal bars are widely used in the manufacturing of fasteners (nuts and bolts), automotive components, and general engineering works. Accurate weight calculation is critical for:

  • Estimating shipping and logistics costs.
  • Determining raw material costs for projects.
  • Structural load planning and safety analysis.

Using the correct ms hex bar weight calculation formula prevents costly estimation errors, especially when dealing with large quantities of steel where even small discrepancies per meter can add up to tonnes of variance.

MS Hex Bar Weight Calculation Formula and Explanation

To calculate the weight of a hexagonal bar, you must first determine its volume and then multiply it by the density of the material. For Mild Steel, the standard density is approximately 7850 kg/m³ (or 7.85 g/cm³).

Step 1: Calculate Cross-Sectional Area

The area of a regular hexagon is determined by the "Width Across Flats" (W), which is the distance between two opposite parallel sides (usually the dimension measured by calipers).

Area Formula: A = (√3 / 2) × W² ≈ 0.866 × W²

Step 2: Calculate Volume

Multiply the cross-sectional area by the length of the bar.

Volume Formula: V = Area × Length

Step 3: Calculate Weight

Multiply the volume by the material density.

Weight Formula: Weight = Volume × Density

Simplified Engineering Formula

For practical use in the field with Width (mm) and Length (m), the ms hex bar weight calculation formula simplifies to:

Weight (kg) = (W² × 0.866 × 7.85 × L) / 1000

Variables Table

  • W: Width Across Flats (mm) – Typical range: 5mm to 100mm
  • L: Length of the bar (m) – Standard stock: 3m or 6m
  • ρ (Rho): Density of Mild Steel – Constant: 7.85 g/cm³
  • 0.866: Geometric constant for hexagonal area (√3 / 2)

Practical Examples of MS Hex Bar Weight Calculation

Here are two real-world scenarios showing how the ms hex bar weight calculation formula is applied.

Example 1: Manufacturing Bolts

A fastener factory needs to order raw material for 20mm bolts. They require 100 bars, each 3 meters long.

  • Input Width (W): 20 mm
  • Input Length (L): 3 meters
  • Quantity: 100 bars
  • Calculation:
    1. Area = 0.866 × 20² = 346.4 mm²
    2. Unit Weight = (346.4 × 1m × 7850) / 1,000,000 = 2.72 kg/m
    3. Weight per bar = 2.72 kg/m × 3m = 8.16 kg
    4. Total Weight = 8.16 kg × 100 = 816 kg

Example 2: Heavy Machinery Shaft

An engineer needs a heavy-duty drive shaft made from a 50mm MS hex bar, cut to 1.5 meters.

  • Input Width (W): 50 mm
  • Input Length (L): 1.5 meters
  • Calculation:
    1. Area = 0.866 × 50² = 2165 mm²
    2. Unit Weight = (2165 × 1 × 7850) / 1,000,000 = 17.00 kg/m
    3. Total Weight = 17.00 × 1.5 = 25.5 kg

How to Use This MS Hex Bar Calculator

  1. Enter Width: Measure the distance across the flats of the hexagon in millimeters (mm). Common sizes are 10mm, 12mm, 16mm, 19mm, 25mm, etc.
  2. Enter Length: Input the total length of the bar in meters. If you have a measurement in feet, convert it to meters first (1 foot = 0.3048 meters).
  3. Select Quantity: If you are calculating a bulk order, enter the total number of bars.
  4. Check Density: The calculator defaults to Mild Steel (7850 kg/m³). If you are using Stainless Steel or Brass, adjust the material selector.
  5. Review Results: The tool instantly provides the unit weight per meter and the total shipping weight. Use the "Copy Results" button to paste data into your procurement emails or Excel sheets.

Key Factors That Affect MS Hex Bar Results

While the ms hex bar weight calculation formula is precise mathematically, real-world weights can vary due to several factors:

  • Rolling Tolerances: Steel mills produce bars within tolerance ranges (e.g., +/- 0.5mm). A bar slightly thicker than nominal size will weigh more than the formula predicts.
  • Corner Radius: The formula assumes sharp corners. In reality, MS hex bars often have slightly rounded corners, which marginally reduces the actual volume and weight.
  • Material Density Variations: While 7850 kg/m³ is the standard for Mild Steel, different alloys (like EN8 vs. Mild Steel) may have slight density variations.
  • Surface Finish: Rough surfaces or scaling on hot-rolled bars can add negligible weight compared to bright drawn (cold finished) bars.
  • Coatings: Galvanization or heavy painting adds weight that is not accounted for in the raw steel formula.
  • Cut Length Precision: A "6-meter" bar might actually be 6.1 meters to allow for cutting losses, increasing the total purchased weight.

Frequently Asked Questions (FAQ)

What is the density of Mild Steel used in the calculation?

The standard density used for the ms hex bar weight calculation formula is 7850 kg/m³ or 7.85 g/cm³. This is the industry standard for structural steel.

Does this formula apply to Stainless Steel Hex Bars?

The geometric formula is the same, but the density differs slightly. Stainless steel (Grade 304/316) typically has a density of around 7900 kg/m³—slightly heavier than Mild Steel.

How do I convert Width Across Corners to Width Across Flats?

If you only have the measurement across the corners, divide it by 1.1547 to get the Width Across Flats required for this calculator.

Why is the constant 0.866 used?

The constant 0.866 is derived from (√3 / 2), which relates the side-to-side width of a hexagon to its area.

Is Hex Bar heavier than Round Bar of the same size?

Yes. A 20mm Hex Bar is heavier than a 20mm Round Bar because the hexagon covers more cross-sectional area than the circle inscribed within it.

Can I calculate weight in pounds (lbs)?

Yes, this calculator displays the result in both Kilograms (kg) and Pounds (lbs). To convert manually, multiply kg by 2.20462.

What are standard lengths for MS Hex Bars?

Common commercial stock lengths are 3 meters (approx 10 feet) and 6 meters (approx 20 feet).

How accurate is the theoretical weight?

The theoretical weight is usually within +/- 2% of the actual scale weight, depending on the mill's rolling precision.

Related Tools and Internal Resources

Explore our other engineering and financial calculators to assist with your material estimation:

// Initialize calculator var chartInstance = null; // Strict Input Validation & Calculation function calculateWeight() { // 1. Get Elements var widthInput = document.getElementById("hexWidth"); var lengthInput = document.getElementById("barLength"); var qtyInput = document.getElementById("quantity"); var densitySelect = document.getElementById("density"); // Results Elements var resTotalWeight = document.getElementById("resultTotalWeight"); var resTotalWeightLbs = document.getElementById("resultTotalWeightLbs"); var resUnitWeight = document.getElementById("resUnitWeight"); var resArea = document.getElementById("resArea"); var resVolume = document.getElementById("resVolume"); var resQty = document.getElementById("resQty"); // Error Elements var errWidth = document.getElementById("err-width"); var errLength = document.getElementById("err-length"); var errQty = document.getElementById("err-qty"); // 2. Parse Values var width = parseFloat(widthInput.value); var length = parseFloat(lengthInput.value); var qty = parseFloat(qtyInput.value); var density = parseFloat(densitySelect.value); // kg/m3 // 3. Validation var isValid = true; if (isNaN(width) || width <= 0) { errWidth.style.display = "block"; isValid = false; } else { errWidth.style.display = "none"; } if (isNaN(length) || length <= 0) { errLength.style.display = "block"; isValid = false; } else { errLength.style.display = "none"; } if (isNaN(qty) || qty Result in m^3 var volumeM3 = areaM2 * length; // Weight = Volume * Density var weightOneBar = volumeM3 * density; var totalWeightKg = weightOneBar * qty; // Conversions var totalWeightLbs = totalWeightKg * 2.20462; var volumeCM3 = volumeM3 * 1000000; // Display volume in cm3 for readability var unitWeight = weightOneBar / length; // kg/m // 5. Update UI resTotalWeight.innerText = totalWeightKg.toFixed(2) + " kg"; resTotalWeightLbs.innerText = totalWeightLbs.toFixed(2) + " lbs"; resUnitWeight.innerText = unitWeight.toFixed(3) + " kg/m"; resArea.innerText = areaMM2.toFixed(2) + " mm²"; resVolume.innerText = volumeCM3.toFixed(2) + " cm³"; resQty.innerText = qty; // 6. Draw Chart drawChart(width); } function resetCalculator() { document.getElementById("hexWidth").value = "25"; document.getElementById("barLength").value = "1"; document.getElementById("quantity").value = "1"; document.getElementById("density").value = "7850"; calculateWeight(); } function copyResults() { var weight = document.getElementById("resultTotalWeight").innerText; var width = document.getElementById("hexWidth").value; var length = document.getElementById("barLength").value; var qty = document.getElementById("quantity").value; var text = "MS Hex Bar Calculation:\n"; text += "Size: " + width + "mm Hex\n"; text += "Length: " + length + "m\n"; text += "Quantity: " + qty + "\n"; text += "Total Weight: " + weight; navigator.clipboard.writeText(text).then(function() { var btn = document.querySelector(".btn-copy"); var originalText = btn.innerText; btn.innerText = "Copied!"; setTimeout(function() { btn.innerText = originalText; }, 2000); }); } // Canvas Chart Logic (No external libraries) function drawChart(currentWidth) { var canvas = document.getElementById("weightChart"); var ctx = canvas.getContext("2d"); // Handle High DPI var dpr = window.devicePixelRatio || 1; var rect = canvas.getBoundingClientRect(); canvas.width = rect.width * dpr; canvas.height = rect.height * dpr; ctx.scale(dpr, dpr); // Clear canvas ctx.clearRect(0, 0, rect.width, rect.height); // Data Generation: Compare current width vs neighboring standard sizes // Standard Hex Sizes (mm) var standardSizes = [10, 12, 16, 20, 25, 30, 40, 50]; // Insert current width if not in standard list to make comparison relevant var sizesToChart = []; // Find closest standard sizes to display // We want 5 bars total: 2 smaller, current, 2 larger var uniqueSizes = []; var addedCurrent = false; // Build a sorted unique list for(var k=0; k currentWidth) { if(currentWidth !== standardSizes[k-1]) uniqueSizes.push(currentWidth); addedCurrent = true; } if(standardSizes[k] !== currentWidth) uniqueSizes.push(standardSizes[k]); } if(!addedCurrent) uniqueSizes.push(currentWidth); // Filter to get 5 bars centered on current var currentIndex = uniqueSizes.indexOf(currentWidth); var startIdx = Math.max(0, currentIndex – 2); var endIdx = Math.min(uniqueSizes.length, startIdx + 5); startIdx = Math.max(0, endIdx – 5); // readjust if at end var chartData = uniqueSizes.slice(startIdx, endIdx); // Chart config var padding = 40; var chartWidth = rect.width – (padding * 2); var chartHeight = rect.height – (padding * 2); var barWidth = chartWidth / chartData.length / 2; var gap = barWidth; // Calculate max weight for scaling (assuming 1m length for comparison) var maxWeight = 0; var weights = []; for (var i = 0; i maxWeight) maxWeight = w; } // Draw Axes ctx.beginPath(); ctx.strokeStyle = "#ccc"; ctx.moveTo(padding, padding); ctx.lineTo(padding, rect.height – padding); ctx.lineTo(rect.width – padding, rect.height – padding); ctx.stroke(); // Draw Bars for (var i = 0; i < chartData.length; i++) { var val = weights[i]; var size = chartData[i]; var barHeight = (val / maxWeight) * chartHeight; var x = padding + (i * (barWidth + gap)) + gap/2; var y = rect.height – padding – barHeight; // Bar Color if (Math.abs(size – currentWidth) < 0.01) { ctx.fillStyle = "#28a745"; // Success green for current } else { ctx.fillStyle = "#004a99"; // Primary blue for others } ctx.fillRect(x, y, barWidth, barHeight); // Labels ctx.fillStyle = "#333"; ctx.font = "12px Arial"; ctx.textAlign = "center"; ctx.fillText(size + "mm", x + barWidth/2, rect.height – padding + 15); // Value Label ctx.fillStyle = "#666"; ctx.font = "10px Arial"; ctx.fillText(val.toFixed(1) + "kg", x + barWidth/2, y – 5); } // Legend text ctx.fillStyle = "#333"; ctx.font = "bold 12px Arial"; ctx.textAlign = "center"; ctx.fillText("Weight (kg) per Meter", rect.width/2, padding – 10); } // Initial load window.onload = function() { calculateWeight(); // Resize listener for chart window.addEventListener('resize', function() { var w = parseFloat(document.getElementById("hexWidth").value); drawChart(w); }); };

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