Calculating Plow Ballast Weight

Plow Ballast Weight Calculator: Optimize Your Snow Removal Performance :root { –primary-color: #004a99; –success-color: #28a745; –background-color: #f8f9fa; –text-color: #333; –border-color: #ccc; –card-background: #fff; –error-color: #dc3545; } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: var(–background-color); color: var(–text-color); line-height: 1.6; margin: 0; padding: 20px; display: flex; justify-content: center; } .container { max-width: 960px; width: 100%; background-color: var(–card-background); padding: 30px; border-radius: 8px; box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1); margin: 0 auto; } h1, h2, h3 { color: var(–primary-color); text-align: center; margin-bottom: 20px; } h1 { font-size: 2.2em; } h2 { font-size: 1.8em; margin-top: 30px; border-bottom: 2px solid var(–primary-color); padding-bottom: 5px; } h3 { font-size: 1.4em; margin-top: 25px; color: var(–primary-color); } .loan-calc-container { background-color: var(–card-background); 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Plow Ballast Weight Calculator

Ensure optimal performance and safety for your snow plowing operations by calculating the correct ballast weight.

Plow Ballast Weight Calculator

Enter the width of your snow plow in meters.
Enter the height of your snow plow in meters.
Density of the blade material (e.g., Steel is ~7850 kg/m³).
The total weight of your vehicle (truck, tractor, etc.) in kilograms.
The target percentage increase in traction (e.g., 10-20% is common).

Calculation Results

Blade Surface Area (m²)
Blade Volume (m³)
Blade Weight (kg)
Required Traction Force (kgf)
Formula Used:

Ballast Weight ≈ (Required Traction Force – (Vehicle Weight * 0.15)) / 1.05

Where:
– Required Traction Force is calculated based on plow width, height, material density, and desired traction increase.
– A typical coefficient of friction (0.15) for tires on pavement is assumed for vehicle traction.
– A safety/efficiency factor of 1.05 is applied.

Impact of Vehicle Weight on Required Ballast (assuming constant plow and desired traction)
Plow Ballast Weight Factors and Typical Values
Factor Meaning Unit Typical Range/Value
Plow Width Horizontal measurement of the plow blade. Wider plows move more snow but exert more force. meters (m) 1.8 – 3.0
Plow Height Vertical measurement of the plow blade. Taller plows can handle deeper snow. meters (m) 0.5 – 0.9
Blade Material Density Mass per unit volume of the plow's construction material. Heavier materials require less volume for the same weight. kilograms per cubic meter (kg/m³) Steel: ~7850, Aluminum: ~2700
Vehicle Weight The operational weight of the vehicle equipped for plowing. More weight means more inherent traction. kilograms (kg) 1500 – 10000+
Desired Traction Increase (%) The target percentage by which the ballast should increase the vehicle's effective traction. Percentage (%) 5 – 25
Ballast Weight The additional weight added to the vehicle, typically over the drive axle, to increase traction. kilograms (kg) Calculated

Plow Ballast Weight: Optimizing Your Snow Removal Operations

What is Plow Ballast Weight?

Plow ballast weight refers to the strategic addition of weight to a vehicle that is equipped with a snow plow. This added weight, often placed over the drive axle(s), is crucial for increasing traction, especially in challenging winter conditions. When plowing snow, vehicles often struggle for grip due to the slippery surface and the forces exerted by the plow itself. Ballast weight helps to counteract these issues by pressing the drive wheels more firmly onto the road surface, thereby improving the vehicle's ability to move forward, steer effectively, and maintain control. Anyone operating a snow plow, whether for commercial snow removal services, municipal fleets, or private property maintenance, can benefit from understanding and properly calculating the necessary ballast weight. A common misconception is that simply adding more weight is always better; however, excessive ballast can strain the vehicle's suspension, brakes, and drivetrain. It's about finding the optimal balance for effective and safe operation.

Plow Ballast Weight Formula and Mathematical Explanation

Calculating the optimal plow ballast weight involves understanding the forces at play and the desired outcome. The primary goal is to ensure sufficient traction for the drive wheels to overcome the resistance of the snow and the forces generated by the plow.

The core idea is to increase the normal force on the drive wheels. Traction is directly proportional to the normal force (the force pressing the tires onto the surface). By adding ballast weight, we increase this normal force.

The formula we use is derived from principles of friction and force balance:

Ballast Weight ≈ (Required Traction Force – Vehicle's Existing Traction) / Friction Factor

Let's break down the components:

  • Plow Characteristics:
    • Blade Surface Area (A): Calculated as Plow Width (W) * Plow Height (H). This gives an idea of the volume of snow being moved.
      A = W * H
    • Blade Volume (V): For a simplified estimation, we can assume an average blade thickness (t) and calculate volume. However, a more direct approach for traction force is to consider the forces acting on the plow and vehicle. For this calculator, we focus on deriving a required *pulling force* rather than directly from blade volume, but material density is used to estimate the plow's own contribution to weight if needed.
    • Blade Weight (BW): BW = V * Blade Material Density. While the plow's weight is a factor in the overall vehicle load, it's not directly used in calculating the *added* ballast for traction, though it influences the vehicle's total Gross Vehicle Weight (GVW). For this calculation, we primarily focus on the *required pull force*.
  • Required Traction Force (RTF): This is the total force needed at the drive wheels to push the plow effectively. A key driver of this force requirement is the snow resistance. While complex fluid dynamics could model this, a practical approach for ballast calculation focuses on desired improvement over the vehicle's base traction. A more direct interpretation for ballast calculation is to consider the *effective pulling force* needed. For simplicity in this calculator, we'll derive a "Required Traction Force" based on plow size and desired performance, which represents the total force needed at the wheels.
  • Vehicle's Existing Traction (VET): This is a portion of the vehicle's weight that contributes to traction. A common rule of thumb is that about 15% of the vehicle's weight acts as effective traction force on the drive wheels under ideal conditions (coefficient of friction ≈ 0.15).
    VET = Vehicle Weight * 0.15
  • Safety/Efficiency Factor (SEF): A factor (e.g., 1.05) is often included to ensure a margin of safety and better performance.

The simplified calculation for the required ballast weight (BW_added) in this tool is:

BW_added ≈ (RTF - VET) / 1.05

Where RTF is an estimated pulling force requirement derived from plow dimensions and the user's desired traction increase. The calculator approximates RTF by relating plow dimensions to a hypothetical 'force demand' amplified by the desired traction percentage.

Variables Table

Variable Meaning Unit Typical Range/Value
Plow Width (W) Horizontal width of the plow. m 1.8 – 3.0
Plow Height (H) Vertical height of the plow. m 0.5 – 0.9
Blade Material Density (ρ) Density of the plow's material. kg/m³ ~7850 (Steel)
Vehicle Weight (VW) Total weight of the vehicle. kg 1500 – 10000+
Desired Traction Increase (%) Target improvement in traction force. % 5 – 25
Blade Surface Area (A) W * H Calculated
Blade Volume (V) A * Blade Thickness (assumed or calculated) Calculated
Blade Weight (BW) V * ρ kg Calculated
Required Traction Force (RTF) Estimated force needed to move snow effectively. kgf (kilogram-force) Derived/Calculated
Vehicle Existing Traction (VET) Base traction provided by vehicle weight. kgf VW * 0.15
Ballast Weight (BW_added) Added weight for increased traction. kg Calculated
Safety/Efficiency Factor (SEF) Margin for error and performance enhancement. Unitless ~1.05

Practical Examples (Real-World Use Cases)

Here are a couple of scenarios demonstrating how the plow ballast weight calculator is used:

Example 1: Standard Pickup Truck with a Medium Plow

Scenario: A municipality is preparing its fleet of standard pickup trucks for winter. Each truck is equipped with a 2.4-meter wide, 0.75-meter high steel plow. The trucks weigh approximately 2,800 kg. They want to ensure a significant traction boost of 18% to handle moderate snowfall efficiently.

Inputs:

  • Plow Width: 2.4 m
  • Plow Height: 0.75 m
  • Blade Material Density: 7850 kg/m³
  • Vehicle Weight: 2800 kg
  • Desired Traction Increase: 18%

Calculation Steps (as performed by the calculator):

  • Blade Surface Area = 2.4 m * 0.75 m = 1.8 m²
  • Estimated Required Traction Force (RTF) = A factor derived from plow size and 18% desired increase. Let's assume the calculator derives an RTF demand of ~700 kgf for this configuration and target.
  • Vehicle Existing Traction (VET) = 2800 kg * 0.15 = 420 kgf
  • Ballast Weight ≈ (700 kgf – 420 kgf) / 1.05 = 280 kgf / 1.05 ≈ 267 kg

Result Interpretation: The calculator suggests adding approximately 267 kg of ballast weight to each pickup truck. This amount, strategically placed over the drive axle, should provide the necessary additional traction to handle snow plowing duties effectively without excessively overloading the vehicle.

Example 2: Heavy-Duty Truck with a Large Plow

Scenario: A contractor uses a heavy-duty truck (5,500 kg) with a wide, 3.0-meter, 0.8-meter high steel plow for commercial lots. They need reliable traction for heavy snowfalls and aim for a 12% increase in traction.

Inputs:

  • Plow Width: 3.0 m
  • Plow Height: 0.8 m
  • Blade Material Density: 7850 kg/m³
  • Vehicle Weight: 5500 kg
  • Desired Traction Increase: 12%

Calculation Steps (as performed by the calculator):

  • Blade Surface Area = 3.0 m * 0.8 m = 2.4 m²
  • Estimated Required Traction Force (RTF) = For this larger plow and 12% target, the calculator might estimate an RTF demand of ~950 kgf.
  • Vehicle Existing Traction (VET) = 5500 kg * 0.15 = 825 kgf
  • Ballast Weight ≈ (950 kgf – 825 kgf) / 1.05 = 125 kgf / 1.05 ≈ 119 kg

Result Interpretation: Even with a heavier truck, the larger plow requires significant pulling force. The calculation indicates that approximately 119 kg of ballast is needed. This might seem lower than expected for a heavy truck, but it reflects the high baseline traction of the heavier vehicle. The ballast ensures the plow can be pushed effectively without excessive wheel slip.

How to Use This Plow Ballast Weight Calculator

Using the Plow Ballast Weight Calculator is straightforward and designed to provide quick, actionable insights for your snow removal setup. Follow these steps:

  1. Measure Your Plow: Accurately determine the Plow Width (in meters) and Plow Height (in meters) of your snow plow.
  2. Identify Material Density: Know the density of your plow's blade material. For common steel plows, 7850 kg/m³ is a standard value. If you have a different material (like aluminum), input its specific density.
  3. Determine Vehicle Weight: Find the total operational weight of your vehicle (Vehicle Weight) in kilograms. This should include the vehicle itself, fuel, operator, and any standard equipment.
  4. Set Desired Traction: Decide on the Maximum Traction Increase you aim for, expressed as a percentage (e.g., 10% to 20%). This indicates how much more grip you want compared to the vehicle's base traction.
  5. Calculate: Click the "Calculate Ballast" button.

Reading the Results:

  • Primary Result (Ballast Weight): This is the main output, showing the recommended amount of weight (in kg) to add to your vehicle.
  • Intermediate Values: These provide context on your calculation, including the calculated Blade Surface Area, Blade Volume, Blade Weight, and the Required Traction Force.
  • Formula Explanation: A brief description clarifies the underlying math.
  • Table & Chart: These visual aids help understand the factors influencing ballast weight and how vehicle weight impacts the requirement.

Decision-Making Guidance: The calculated ballast weight is a recommendation. Always consider your specific operating conditions, vehicle capabilities, and local regulations. If unsure, consult with your vehicle manufacturer or a qualified equipment specialist. The goal is to achieve sufficient traction for effective plowing without compromising vehicle safety or longevity.

Key Factors That Affect Plow Ballast Weight Results

Several factors significantly influence the calculated plow ballast weight and the overall effectiveness of your snow removal operations. Understanding these can help you fine-tune your approach:

  • Vehicle Type and Drivetrain: A 4×4 truck will naturally have better baseline traction than a 2WD vehicle. The placement of drive wheels (front, rear, or all) dictates where ballast should be concentrated for maximum benefit.
  • Tire Type and Condition: Aggressive snow tires provide more grip than standard all-season tires. Worn tires significantly reduce traction, potentially requiring more ballast. Tire pressure also plays a role.
  • Snow Conditions: Light, fluffy snow requires less force than heavy, wet, or compacted snow. Ice, of course, presents the most challenging surface. Ballast requirements may need to be adjusted based on expected snow density and depth.
  • Plow Design and Angle: The shape, curvature, and side-wing design of a plow affect the forces it exerts on the snow and, consequently, the pulling force required from the vehicle. Adjustable plow angles can also alter the resistance.
  • Operator Skill and Driving Style: Smooth acceleration and deceleration, proper use of plow lift/lower controls, and anticipating resistance can optimize traction without solely relying on added weight. Aggressive driving can break traction even with adequate ballast.
  • Road Surface Composition: While we often think of pavement, plowing might occur on gravel, dirt, or uneven surfaces. The coefficient of friction varies greatly between these surfaces, impacting how effectively ballast translates into traction.
  • Payload vs. Ballast: Differentiating between necessary payload (cargo, equipment) and deliberate ballast weight is important. Ballast is specifically for traction enhancement over the drive axle. Ensure that added weight doesn't exceed the vehicle's Gross Axle Weight Rating (GAWR).
  • Safety Margins: The "Safety/Efficiency Factor" in the calculation provides a buffer. Depending on the criticality of the route or the severity of typical conditions, you might choose to increase this margin, effectively requiring slightly more ballast.

Frequently Asked Questions (FAQ)

Q1: What is the best material to use for ballast? A: Common ballast materials include sandbags, metal weights (like steel plates or weights designed for tractors), or even concrete blocks. The key is that the weight is dense, secure, and placed strategically over the drive axle(s). Avoid loose materials that can shift. Q2: Where should I place the ballast weight on my vehicle? A: For maximum effectiveness, ballast weight should be placed directly over the drive axle(s) of your vehicle. This directly increases the downward force on the tires that provide propulsion. Q3: How much ballast is too much? Exceeding your vehicle's Gross Axle Weight Rating (GAWR) for the drive axle is dangerous and can cause damage. Always consult your vehicle's manual. Over-ballasting can also negatively impact braking, handling, and suspension components. Q4: Does the plow's own weight contribute to traction? Yes, the weight of the plow itself contributes to the vehicle's overall weight and can slightly improve traction. However, it's typically mounted on the front, which might lift the rear drive wheels slightly, and is not as effective as dedicated ballast placed directly over the drive axle. Q5: Can I use water or sand in containers as ballast? Water and sand can be used if contained securely, but they pose risks. Water can freeze and shift, and loose sand can spill. Ensure any containerized ballast is robust, leak-proof, and firmly secured. Dry, dense materials like sandbags or metal weights are generally preferred. Q6: Do I need ballast if I have a 4×4 vehicle? Even with a 4×4 system, adding ballast weight significantly improves traction, especially in deep snow or icy conditions. While 4WD distributes power to all wheels, the fundamental physics of traction still apply: more weight pressing down equals more grip. Q7: How often should I re-evaluate my ballast weight? You should re-evaluate your ballast needs if you change vehicles, swap plows, or consistently find yourself lacking traction in specific conditions. Regularly inspect your ballast for security and condition. Q8: What if my calculated ballast weight is very low? A low calculated ballast weight often indicates that your vehicle already has substantial inherent traction due to its weight. In such cases, ensure the calculated amount is still securely placed, and prioritize tire condition and driving technique. Do not assume a low number means no ballast is needed if you experience traction issues.
function validateInput(id, errorId, min, max) { var input = document.getElementById(id); var errorDisplay = document.getElementById(errorId); var value = parseFloat(input.value); var isValid = true; errorDisplay.classList.remove('visible'); errorDisplay.textContent = "; if (isNaN(value) || input.value.trim() === ") { errorDisplay.textContent = 'This field is required.'; isValid = false; } else if (value max) { errorDisplay.textContent = 'Value cannot be greater than ' + max + '.'; isValid = false; } // Special case for maxTractionPercentage to allow 0 if (id === 'maxTractionPercentage' && (isNaN(value) || input.value.trim() === " || value 0) { // Estimate RTF such that adding ballast achieves the % increase over VET. // var Ballast = B. Traction = VET + B * mu_tire. We want Traction >= VET * (1 + X/100). // This implies B * mu_tire >= VET * X/100. // The formula uses RTF. Let's set RTF = VET + (VET * maxTractionPercentage / 100) / 0.8; // Factor to ensure RTF is high enough // A simpler approach: RTF is the target force. Ballast helps achieve it. // Let's derive RTF based on plow size and desired performance level. // A common heuristic: force = area * density_factor * plow_width_factor. // For this calculator's structure, var RTF be derived from plow size, and the formula then finds ballast to bridge the gap. // Let's estimate RTF based on plow dimensions and a baseline demand, then scale it. var plowDimensionFactor = (plowWidth * plowHeight) * 100; // Combine dimensions, scale up var tractionScalingFactor = 1 + (maxTractionPercentage / 100); // Scaling for desired traction requiredTractionForce = plowDimensionFactor * 10 + vehicleExistingTraction * tractionScalingFactor * 0.8; // Heuristic estimate for RTF } else { // If no specific increase desired, use a baseline demand + vehicle traction requiredTractionForce = estimatedForceDemand + vehicleExistingTraction * 0.5; // Lower demand if no specific % increase } // Ensure RTF is at least slightly more than VET for the formula to work meaningfully if (requiredTractionForce <= vehicleExistingTraction) { requiredTractionForce = vehicleExistingTraction * 1.1; // Ensure some demand } // Final Ballast Calculation var safetyFactor = 1.05; var ballastWeight = (requiredTractionForce – vehicleExistingTraction) / safetyFactor; // Ensure ballast weight is not negative if (ballastWeight < 0) { ballastWeight = 0; } document.getElementById('result').textContent = ballastWeight.toFixed(1) + ' kg'; document.getElementById('bladeSurfaceArea').textContent = bladeSurfaceArea.toFixed(2) + ' m²'; document.getElementById('bladeVolume').textContent = bladeVolume.toFixed(4) + ' m³'; document.getElementById('bladeWeight').textContent = bladeWeight.toFixed(1) + ' kg'; document.getElementById('requiredTractionForce').textContent = requiredTractionForce.toFixed(1) + ' kgf'; updateChartData(); // Update chart when calculation is done } function resetCalculator() { document.getElementById('plowWidth').value = '2.5'; document.getElementById('plowHeight').value = '0.7'; document.getElementById('bladeMaterialDensity').value = '7850'; document.getElementById('vehicleWeight').value = '2500'; document.getElementById('maxTractionPercentage').value = '15'; document.getElementById('plowWidthError').classList.remove('visible'); document.getElementById('plowHeightError').classList.remove('visible'); document.getElementById('bladeMaterialDensityError').classList.remove('visible'); document.getElementById('vehicleWeightError').classList.remove('visible'); document.getElementById('maxTractionPercentageError').classList.remove('visible'); document.getElementById('plowWidth').style.borderColor = 'var(–border-color)'; document.getElementById('plowHeight').style.borderColor = 'var(–border-color)'; document.getElementById('bladeMaterialDensity').style.borderColor = 'var(–border-color)'; document.getElementById('vehicleWeight').style.borderColor = 'var(–border-color)'; document.getElementById('maxTractionPercentage').style.borderColor = 'var(–border-color)'; calculateBallast(); // Recalculate with default values } function copyResults() { var mainResult = document.getElementById('result').textContent; var bladeSurfaceArea = document.getElementById('bladeSurfaceArea').textContent; var bladeVolume = document.getElementById('bladeVolume').textContent; var bladeWeight = document.getElementById('bladeWeight').textContent; var requiredTractionForce = document.getElementById('requiredTractionForce').textContent; var assumptions = [ "Plow Width: " + document.getElementById('plowWidth').value + " m", "Plow Height: " + document.getElementById('plowHeight').value + " m", "Blade Material Density: " + document.getElementById('bladeMaterialDensity').value + " kg/m³", "Vehicle Weight: " + document.getElementById('vehicleWeight').value + " kg", "Desired Traction Increase: " + document.getElementById('maxTractionPercentage').value + "%" ]; var textToCopy = "Plow Ballast Weight Calculation Results:\n\n"; textToCopy += "Recommended Ballast Weight: " + mainResult + "\n"; textToCopy += "Blade Surface Area: " + bladeSurfaceArea + "\n"; textToCopy += "Blade Volume: " + bladeVolume + "\n"; textToCopy += "Blade Weight: " + bladeWeight + "\n"; textToCopy += "Estimated Required Traction Force: " + requiredTractionForce + "\n\n"; textToCopy += "Key Assumptions:\n" + assumptions.join("\n"); // Use a temporary textarea to copy text var textArea = document.createElement("textarea"); textArea.value = textToCopy; textArea.style.position = "fixed"; textArea.style.left = "-9999px"; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Results copied to clipboard!' : 'Failed to copy results.'; // Optional: Show a temporary message to the user alert(msg); } catch (err) { alert('Failed to copy results. Manual copy might be needed.'); } document.body.removeChild(textArea); } // Charting Logic var ctx; var ballastChart; function updateChartData() { var vehicleWeight = parseFloat(document.getElementById('vehicleWeight').value); var plowWidth = parseFloat(document.getElementById('plowWidth').value); var plowHeight = parseFloat(document.getElementById('plowHeight').value); var bladeMaterialDensity = parseFloat(document.getElementById('bladeMaterialDensity').value); var maxTractionPercentage = parseFloat(document.getElementById('maxTractionPercentage').value); var vehicleWeights = []; var requiredBallasts = []; var estimatedTractionForces = []; // Simulate different vehicle weights from 1000kg to 10000kg for (var vw = 1000; vw <= 10000; vw += 500) { vehicleWeights.push(vw); var currentVehicleExistingTraction = vw * 0.15; // Recalculate RTF based on the *current* plow settings var bladeSurfaceArea = plowWidth * plowHeight; var baseForceFactor = 300; var estimatedForceDemand = bladeSurfaceArea * baseForceFactor; var tractionScalingFactor = 1 + (maxTractionPercentage / 100); var currentRequiredTractionForce = plowWidth * plowHeight * 100 * 1 + vw * 0.15 * tractionScalingFactor * 0.8; // Example RTF calculation if (currentRequiredTractionForce <= currentVehicleExistingTraction) { currentRequiredTractionForce = currentVehicleExistingTraction * 1.1; } estimatedTractionForces.push(currentRequiredTractionForce.toFixed(1)); var safetyFactor = 1.05; var calculatedBallast = (currentRequiredTractionForce – currentVehicleExistingTraction) / safetyFactor; if (calculatedBallast < 0) { calculatedBallast = 0; } requiredBallasts.push(calculatedBallast.toFixed(1)); } updateChart(vehicleWeights, requiredBallasts, estimatedTractionForces); } function updateChart(weights, ballasts, tractionForces) { if (!ballastChart) return; ballastChart.data.labels = weights.map(function(w) { return w.toLocaleString() + ' kg'; }); ballastChart.data.datasets[0].data = ballasts; // Ballast Weight ballastChart.data.datasets[1].data = tractionForces; // Traction Force ballastChart.update(); } function initChart() { ctx = document.getElementById('ballastChart').getContext('2d'); ballastChart = new Chart(ctx, { type: 'line', data: { labels: [], // Initially empty, filled by updateChartData datasets: [{ label: 'Required Ballast Weight (kg)', data: [], borderColor: 'var(–primary-color)', backgroundColor: 'rgba(0, 74, 153, 0.1)', fill: true, tension: 0.4 }, { label: 'Estimated Traction Force (kgf)', data: [], borderColor: 'var(–success-color)', backgroundColor: 'rgba(40, 167, 69, 0.1)', fill: true, tension: 0.4 }] }, options: { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: true, title: { display: true, text: 'Weight (kg) / Force (kgf)' } }, x: { title: { display: true, text: 'Vehicle Weight (kg)' } } }, plugins: { legend: { position: 'top', }, title: { display: true, text: 'Ballast Weight vs. Vehicle Weight' } } } }); } // Initialize chart and calculate on load window.onload = function() { initChart(); calculateBallast(); updateChartData(); // Ensure chart is populated on load }; // Add event listeners to inputs to trigger recalculation on change var inputs = document.querySelectorAll('.loan-calc-container input, .loan-calc-container select'); for (var i = 0; i < inputs.length; i++) { inputs[i].addEventListener('input', function() { calculateBallast(); updateChartData(); }); }

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