Cessna 177rg Weight and Balance Calculator

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Cessna 177RG Weight and Balance Calculator

Accurately calculate your Cessna 177RG's weight and balance to ensure safe flight operations. Enter your aircraft and payload details below.

Weight of the aircraft with no occupants or payload (lbs).
Moment of the aircraft at its empty weight (lb-in). Calculated as Empty Weight * Arm.
Weight of the pilot (lbs).
Horizontal distance of the pilot from the datum (inches).
Weight of the front passenger (lbs).
Horizontal distance of Passenger 1 from the datum (inches).
Weight of the rear passenger (lbs).
Horizontal distance of Passenger 2 from the datum (inches).
Weight of baggage in compartment 1 (lbs).
Horizontal distance of Baggage 1 from the datum (inches).
Weight of baggage in compartment 2 (lbs).
Horizontal distance of Baggage 2 from the datum (inches).

Calculated Results

CG: — % MAC

Total Weight: — lbs

Total Moment: — lb-in

Center of Gravity (CG): — in

Formula Used:

Weight and Balance is calculated by summing the weight and moments of all items (aircraft, occupants, baggage) and then dividing the total moment by the total weight to find the Center of Gravity (CG). This CG is then often expressed as a percentage of the Mean Aerodynamic Chord (MAC).

Total Weight = Sum of all weights (Empty + Pilot + Passengers + Baggage)
Total Moment = Sum of all moments (Weight * Arm for each item)
CG (in) = Total Moment / Total Weight
CG (% MAC) = ((CG (in) – Forward CG Limit (in)) / MAC (in)) * 100

Weight and Balance Envelope

Visual representation of the calculated CG against the aircraft's operational limits.

What is Cessna 177RG Weight and Balance?

The Cessna 177RG weight and balance calculation is a critical safety procedure required for all aircraft operations, especially for a complex retractable-gear aircraft like the Cessna 177RG (Cardinal). It involves determining the total weight of the aircraft and the location of its Center of Gravity (CG) relative to the aircraft's datum. Maintaining the aircraft within its specified weight and CG limits is paramount for ensuring stable flight, proper control, and preventing stalls or structural failure.

This calculation is not just a regulatory requirement; it's a fundamental aspect of safe piloting. Flying an improperly loaded aircraft can lead to a loss of control, increased fuel consumption, and compromised performance. Every pilot operating a Cessna 177RG must be proficient in performing these calculations before each flight.

Who should use it:

  • Cessna 177RG Pilots (Private, Commercial, Instrument Rated)
  • Flight Instructors teaching in a Cessna 177RG
  • Aircraft Owners and Maintenance Personnel
  • Operations Planners

Common Misconceptions:

  • "It's just a formality": Weight and balance is a vital safety check, not a checkbox exercise.
  • "The airplane will fly fine even if slightly out of limits": Even small deviations can have significant, unpredictable effects on aircraft handling and stability.
  • "Calculations are always the same": Each flight is unique; variations in fuel, passengers, and baggage necessitate a fresh calculation every time.

Cessna 177RG Weight and Balance Formula and Mathematical Explanation

The core principle of weight and balance calculation relies on the concept of moments. A moment is the product of a weight and its distance from a reference point (the datum). The datum for the Cessna 177RG is typically located at the aircraft's firewall or another established point referenced in the aircraft's Type Certificate Data Sheet (TCDS) or Pilot's Operating Handbook (POH).

The calculation involves these key steps:

  1. Identify all weight items: This includes the aircraft's empty weight (and its associated moment), pilot(s), passengers, baggage, and fuel.
  2. Determine the arm for each item: The arm is the horizontal distance from the datum to the center of gravity of each item. These are usually found in the aircraft's POH or weight and balance manual.
  3. Calculate the moment for each item: Moment = Weight × Arm.
  4. Sum all the weights: This gives the Total Weight of the aircraft for the specific flight configuration.
  5. Sum all the moments: This gives the Total Moment.
  6. Calculate the Center of Gravity (CG): CG (in inches from datum) = Total Moment / Total Weight.
  7. Convert CG to Percentage of MAC: The Cessna 177RG has an operational CG range expressed in inches from the datum, but it's also often expressed as a percentage of the Mean Aerodynamic Chord (MAC). The MAC is the average chord length of the wing. The formula is: CG (% MAC) = [(CG (in) – Forward CG Limit (in)) / MAC (in)] × 100.

It is crucial that the calculated Total Weight does not exceed the aircraft's maximum allowable gross weight, and the calculated CG falls within the allowable CG range (forward and aft limits) for the specific phase of flight (e.g., takeoff, landing).

Variables Table

Weight and Balance Variables
Variable Meaning Unit Typical Range (Cessna 177RG)
Empty Weight Weight of the aircraft as manufactured, including fixed equipment, but excluding usable fuel and payload. lbs 1550 – 1750 lbs (varies by specific aircraft)
Empty Moment The moment produced by the Empty Weight relative to the datum. lb-in 62000 – 70000 lb-in (varies by specific aircraft)
Pilot/Passenger Weight Weight of individuals on board. lbs 100 – 250 lbs
Pilot/Passenger Arm Horizontal distance from the datum to the CG of the occupant. in 36 – 80 in (front seats to rear seats)
Baggage Weight Weight of cargo in designated baggage compartments. lbs 0 – 100 lbs (per compartment, depending on limits)
Baggage Arm Horizontal distance from the datum to the CG of the baggage. in 70 – 120 in (varies by compartment)
Fuel Weight Weight of usable fuel (typically 8.34 lbs/gallon). lbs 0 – 48 lbs per 6 gallons (if not full)
Fuel Arm Horizontal distance from the datum to the CG of the fuel tanks. in ~60 – 70 in (approximate, depends on tank location)
Total Weight Sum of all weights in the aircraft. lbs Up to 2550 lbs (Max Gross Weight)
Total Moment Sum of all moments. lb-in Varies based on configuration
CG (in) Calculated Center of Gravity in inches from the datum. in Varies based on configuration
CG (% MAC) Center of Gravity expressed as a percentage of the Mean Aerodynamic Chord. % 15% – 30% MAC (typical for 177RG)
Datum Reference point from which all arms are measured. in Typically at the Firewall (e.g., 0 inches)
MAC Mean Aerodynamic Chord length. in ~60 inches (approximate for 177RG)
Forward CG Limit Minimum allowable CG position (usually in inches from datum). in ~65.7 in (example, check POH)
Aft CG Limit Maximum allowable CG position (usually in inches from datum). in ~77.2 in (example, check POH)

Practical Examples (Real-World Use Cases)

Example 1: Standard Cross-Country Flight

A pilot plans a cross-country flight in a Cessna 177RG. They've weighed their personal equipment and determined the aircraft's empty weight and moment from its logbook.

Inputs:
  • Empty Weight: 1650 lbs
  • Empty Moment: 66000 lb-in
  • Pilot Weight: 180 lbs
  • Pilot Arm: 37 inches
  • Passenger 1 Weight: 160 lbs
  • Passenger 1 Arm: 40 inches
  • Baggage 1 Weight: 70 lbs
  • Baggage 1 Arm: 85 inches
  • Fuel: 24 gallons (approx. 200 lbs)
  • Fuel Arm: 65 inches

Calculation Steps (Manual Approximation):

  • Pilot Moment: 180 lbs * 37 in = 6660 lb-in
  • Passenger Moment: 160 lbs * 40 in = 6400 lb-in
  • Baggage Moment: 70 lbs * 85 in = 5950 lb-in
  • Fuel Moment: 200 lbs * 65 in = 13000 lb-in
  • Total Weight: 1650 + 180 + 160 + 70 + 200 = 2260 lbs
  • Total Moment: 66000 + 6660 + 6400 + 5950 + 13000 = 97010 lb-in
  • CG (in): 97010 lb-in / 2260 lbs = 42.92 inches

Result Interpretation: The calculated CG is at 42.92 inches from the datum. Assuming the aircraft's forward CG limit is 65.7 inches and the aft limit is 77.2 inches, this configuration is well within the normal operating envelope for takeoff and landing. The total weight (2260 lbs) is also below the maximum gross weight of 2550 lbs. This example demonstrates a safe loading for a typical flight scenario using a Cessna 177RG weight and balance calculator.

Example 2: Maximum Load with Shorter Flights

A pilot is carrying two adults and maximum allowable baggage for a shorter flight, potentially pushing the limits.

Inputs:
  • Empty Weight: 1700 lbs
  • Empty Moment: 68000 lb-in
  • Pilot Weight: 200 lbs
  • Pilot Arm: 38 inches
  • Passenger 1 Weight: 180 lbs
  • Passenger 1 Arm: 41 inches
  • Passenger 2 Weight: 170 lbs
  • Passenger 2 Arm: 75 inches
  • Baggage 1 Weight: 100 lbs
  • Baggage 1 Arm: 88 inches
  • Baggage 2 Weight: 50 lbs
  • Baggage 2 Arm: 120 inches
  • Fuel: 12 gallons (approx. 100 lbs)
  • Fuel Arm: 68 inches

Calculation Steps (Manual Approximation):

  • Pilot Moment: 200 lbs * 38 in = 7600 lb-in
  • Passenger 1 Moment: 180 lbs * 41 in = 7380 lb-in
  • Passenger 2 Moment: 170 lbs * 75 in = 12750 lb-in
  • Baggage 1 Moment: 100 lbs * 88 in = 8800 lb-in
  • Baggage 2 Moment: 50 lbs * 120 in = 6000 lb-in
  • Fuel Moment: 100 lbs * 68 in = 6800 lb-in
  • Total Weight: 1700 + 200 + 180 + 170 + 100 + 50 + 100 = 2500 lbs
  • Total Moment: 68000 + 7600 + 7380 + 12750 + 8800 + 6000 + 6800 = 117330 lb-in
  • CG (in): 117330 lb-in / 2500 lbs = 46.93 inches

Result Interpretation: The total weight is 2500 lbs, which is close to the maximum gross weight of 2550 lbs. The calculated CG is 46.93 inches. Again, this is well within the typical forward limits but also significantly forward of the aft limits. This highlights how passenger and baggage placement drastically affects CG. The pilot must confirm these values against their specific aircraft's POH and the graphical weight and balance envelope. Using a reliable Cessna 177RG weight and balance calculator is essential for accurate results.

How to Use This Cessna 177RG Weight and Balance Calculator

This calculator simplifies the complex process of ensuring your Cessna 177RG is loaded safely. Follow these steps:

  1. Gather Aircraft Data: Locate your aircraft's specific Empty Weight and Empty Moment. These are found in the aircraft's weight and balance records, often in the logbook or a dedicated section of the POH.
  2. Determine Occupant and Baggage Weights: Accurately estimate or weigh the pilot, passengers, and any baggage you plan to carry.
  3. Find Arms: Refer to your Cessna 177RG's Pilot's Operating Handbook (POH) or weight and balance manual for the correct Arm (distance from the datum) for each occupant seat and baggage compartment. The datum is typically at the firewall.
  4. Enter Data into Calculator: Input all the gathered values into the corresponding fields in the calculator above. Ensure you are using the correct units (lbs for weight, inches for arms).
  5. Fuel Load: If your flight plan involves specific fuel loads, calculate the weight of that fuel (gallons × 6 lbs/gallon for avgas, or check specific density for Jet A) and enter its arm. Note that fuel weight changes dynamically as fuel is consumed. You may need to recalculate for the end of the flight if range is critical.
  6. Calculate: Click the "Calculate" button. The calculator will instantly display the Total Weight, Total Moment, CG in inches, and CG as a % of MAC.
  7. Interpret Results: Compare the calculated Total Weight against the maximum gross weight. Compare the calculated CG (% MAC) against the forward and aft CG limits specified in your POH. The chart will also visually represent your loading against the aircraft's envelope.
  8. Decision Guidance:
    • If Total Weight exceeds the maximum, you must offload weight (reduce fuel, passengers, or baggage).
    • If the CG is outside the limits (too far forward or too far aft), you must rearrange weight. Move heavier items further aft to move CG aft, or move heavier items forward to move CG forward. Ensure compliance with baggage compartment weight limits and loading instructions.
  9. Reset: Use the "Reset" button to clear fields and start a new calculation.
  10. Copy: The "Copy Results" button allows you to easily transfer the key calculated figures for record-keeping or sharing.

Always consult your specific Cessna 177RG POH for the most accurate datum, arms, and CG limits.

Key Factors That Affect Cessna 177RG Results

Several factors significantly influence the weight and balance calculations for a Cessna 177RG, impacting flight safety and performance. Understanding these is key for any pilot:

  1. Aircraft Empty Weight and Moment: This is the baseline. Any change to the aircraft's standard equipment (e.g., installing avionics, changing interior upholstery) will alter the empty weight and moment. Accurate, up-to-date records are crucial. A heavier empty weight leaves less capacity for payload.
  2. Occupant Weights: Passengers and pilots are often the most variable part of the payload. Underestimating weight can lead to overloading or CG issues. The position of occupants (front vs. rear seats) has a significant impact on the CG.
  3. Baggage Loading: The weight and location (arm) of baggage are critical. Heavier items placed in forward compartments will shift the CG forward, while placing them in aft compartments shifts it aft. Always adhere to weight limits for each baggage compartment.
  4. Fuel Load: Fuel is heavy (approx. 6 lbs/gallon for avgas). Carrying less fuel for shorter trips increases available payload but can shift the CG forward. Carrying maximum fuel for long trips maximizes range but reduces payload capacity and affects the aft CG limit if the tanks are located aft of the datum. As fuel burns off, the total weight decreases and the CG typically shifts aft.
  5. Non-Standard Equipment: Items like extra survival gear, charts, or even installed modifications (e.g., STOL kits, autopilot) add weight and moments that must be accounted for if they affect the aircraft's empty weight configuration or operational arms.
  6. Center Datum Location: The choice and precise location of the datum by the manufacturer are fundamental. All arm measurements are relative to this point. An incorrect datum reference will lead to erroneous calculations.
  7. CG Limits (Forward & Aft): These are defined by the manufacturer and are critical for stability and control. The forward limit ensures sufficient elevator authority to prevent a stall, while the aft limit ensures adequate stability. Exceeding either limit can render the aircraft uncontrollable.
  8. Phase of Flight: The allowable CG range can sometimes differ between takeoff and landing phases, especially if significant fuel burn occurs. Always check the POH for specific requirements.

Properly managing these factors using a detailed Cessna 177RG weight and balance calculator is fundamental to safe aviation.

Frequently Asked Questions (FAQ)

  • Q: What is the typical maximum takeoff weight for a Cessna 177RG? A: The standard maximum takeoff weight for most Cessna 177RG models is 2550 lbs. Always verify this in your specific aircraft's POH.
  • Q: Where is the datum for the Cessna 177RG? A: The datum is typically located at the firewall, but its exact position (e.g., 0 inches) must be confirmed in the aircraft's POH or weight and balance records.
  • Q: How often should I recalculate weight and balance? A: You should recalculate weight and balance anytime there is a change in the aircraft's configuration (e.g., new equipment installed), or before each flight if the payload (passengers, baggage, fuel) varies from the previous calculation.
  • Q: My calculated CG is slightly forward of the limit. What can I do? A: To shift the CG forward, you need to move weight forward or reduce weight in the aft portion of the aircraft. This might involve removing baggage from the aft compartment, ensuring only necessary items are loaded, or considering fuel distribution if applicable. However, if you are already at minimum fuel and the CG is still forward, you may need to adjust the passenger or baggage load.
  • Q: My calculated CG is slightly aft of the limit. What can I do? A: To shift the CG aft, you need to move weight aft or reduce weight in the forward portion. This might involve moving baggage to the aft compartment (if weight limits permit) or ensuring passengers are seated correctly. If carrying maximum fuel, consider if a lighter fuel load is permissible for the trip.
  • Q: Can I use this calculator for a Cessna 177 (non-RG)? A: While the principles are the same, the specific arms, CG limits, and maximum weights differ between the 177 and 177RG models. This calculator is specifically designed for the 177RG. Always use data pertinent to your specific aircraft model.
  • Q: What happens if I fly outside the CG limits? A: Flying outside the CG limits can lead to decreased aircraft stability, reduced control effectiveness, and potential loss of control. This is a serious safety hazard.
  • Q: How is fuel weight calculated? A: For standard Avgas (100LL), fuel weighs approximately 6 pounds per US gallon. So, Fuel Weight = Number of Gallons × 6 lbs/gallon.
  • Q: Does the weight of the pilot affect the CG significantly? A: Yes, the pilot's weight and arm are significant contributors to the total moment and CG, especially in a lighter aircraft like the 177RG.

Related Tools and Internal Resources

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Disclaimer: This calculator is for informational purposes only. Always consult the official Pilot's Operating Handbook (POH) and manufacturer's data for your specific aircraft. Calculations should be verified by a qualified pilot before flight.

var datum = 0; // Typically the firewall for Cessna 177RG var mac = 60; // Approximate MAC for Cessna 177RG in inches (verify with POH) var forwardLimitIn = 65.7; // Example forward limit in inches (verify with POH) var aftLimitIn = 77.2; // Example aft limit in inches (verify with POH) var maxGrossWeight = 2550; // lbs (verify with POH) function validateInput(id, errorId, minValue, maxValue) { var input = document.getElementById(id); var errorSpan = document.getElementById(errorId); var value = parseFloat(input.value); var isValid = true; errorSpan.style.display = 'none'; input.classList.remove('invalid'); if (isNaN(value)) { errorSpan.textContent = "Please enter a valid number."; errorSpan.style.display = 'block'; input.classList.add('invalid'); isValid = false; } else if (value < 0 && id !== 'fuelGallons') { // Allow 0 for fuel, negative arms not applicable generally errorSpan.textContent = "Value cannot be negative."; errorSpan.style.display = 'block'; input.classList.add('invalid'); isValid = false; } else if (minValue !== null && value maxValue) { errorSpan.textContent = "Value is too high. Maximum is " + maxValue + "."; errorSpan.style.display = 'block'; input.classList.add('invalid'); isValid = false; } else { // Specific checks for arms if (id.includes('Arm') && value < -50) { // Example check for unrealistically negative arms errorSpan.textContent = "Arm value seems unusually low."; errorSpan.style.display = 'block'; input.classList.add('invalid'); isValid = false; } } return isValid; } function calculateWeightAndBalance() { var isValid = true; isValid &= validateInput('emptyWeight', 'emptyWeightError', 0, null); isValid &= validateInput('emptyMoment', 'emptyMomentError', 0, null); isValid &= validateInput('pilotWeight', 'pilotWeightError', 0, null); isValid &= validateInput('pilotArm', 'pilotArmError', null, null); isValid &= validateInput('passenger1Weight', 'passenger1WeightError', 0, null); isValid &= validateInput('passenger1Arm', 'passenger1ArmError', null, null); isValid &= validateInput('passenger2Weight', 'passenger2WeightError', 0, null); isValid &= validateInput('passenger2Arm', 'passenger2ArmError', null, null); isValid &= validateInput('baggage1Weight', 'baggage1WeightError', 0, null); isValid &= validateInput('baggage1Arm', 'baggage1ArmError', null, null); isValid &= validateInput('baggage2Weight', 'baggage2WeightError', 0, null); isValid &= validateInput('baggage2Arm', 'baggage2ArmError', null, null); // Assume fuel is entered in gallons and we convert to weight // We need to add fuel inputs if they are to be dynamic. For now, hardcode or prompt. // For simplicity in this example, let's assume a fixed fuel amount or require specific input fields. // Adding dynamic fuel inputs: // If you want to add fuel inputs, you would add: //
Usable fuel in gallons.
// And then handle it here: var fuelGallons = parseFloat(document.getElementById('fuelGallons') ? document.getElementById('fuelGallons').value : 0); // Check if element exists var fuelWeight = fuelGallons * 6.0; // Avgas is ~6 lbs/gallon var fuelArm = parseFloat(document.getElementById('fuelArm') ? document.getElementById('fuelArm').value : 0); // Add fuelArm input if needed if (document.getElementById('fuelGallons')) { isValid &= validateInput('fuelGallons', 'fuelGallonsError', 0, null); if (isValid) { // Only calculate fuel moment if fuel input is valid var fuelMoment = fuelWeight * fuelArm; } else { var fuelMoment = 0; // Reset fuel moment if fuel input is invalid } } else { // If fuel inputs are not present, assume a default or zero for calculation demonstration // In a real app, you'd add fuel inputs to the HTML. // For this example, we'll simulate with common values if inputs are missing. var fuelWeight = 100; // Example fixed fuel weight var fuelArm = 65; // Example fixed fuel arm var fuelMoment = fuelWeight * fuelArm; console.warn("Fuel input fields not found. Using example values for demonstration."); } if (!isValid) { document.getElementById('main-result').textContent = "CG: — % MAC"; document.getElementById('totalWeight').textContent = "– lbs"; document.getElementById('totalMoment').textContent = "– lb-in"; document.getElementById('cgValue').textContent = "– in"; updateChart([], []); // Clear chart return; } var ew = parseFloat(document.getElementById('emptyWeight').value); var em = parseFloat(document.getElementById('emptyMoment').value); var pw = parseFloat(document.getElementById('pilotWeight').value); var pa = parseFloat(document.getElementById('pilotArm').value); var p1w = parseFloat(document.getElementById('passenger1Weight').value); var p1a = parseFloat(document.getElementById('passenger1Arm').value); var p2w = parseFloat(document.getElementById('passenger2Weight').value); var p2a = parseFloat(document.getElementById('passenger2Arm').value); var b1w = parseFloat(document.getElementById('baggage1Weight').value); var b1a = parseFloat(document.getElementById('baggage1Arm').value); var b2w = parseFloat(document.getElementById('baggage2Weight').value); var b2a = parseFloat(document.getElementById('baggage2Arm').value); // Use simulated fuel values if inputs are missing var currentFuelWeight = typeof fuelWeight !== 'undefined' ? fuelWeight : 100; // Example default if input not present var currentFuelArm = typeof fuelArm !== 'undefined' ? fuelArm : 65; // Example default if input not present var fuelMoment = currentFuelWeight * currentFuelArm; var totalWeight = ew + pw + p1w + p2w + b1w + b2w + currentFuelWeight; var totalMoment = em + (pw * pa) + (p1w * p1a) + (p2w * p2a) + (b1w * b1a) + (b2w * b2a) + fuelMoment; var cgInches = totalMoment / totalWeight; var cgPercentMAC = ((cgInches – forwardLimitIn) / mac) * 100; document.getElementById('totalWeight').textContent = totalWeight.toFixed(1) + " lbs"; document.getElementById('totalMoment').textContent = totalMoment.toFixed(1) + " lb-in"; document.getElementById('cgValue').textContent = cgInches.toFixed(2) + " in"; document.getElementById('main-result').textContent = "CG: " + cgPercentMAC.toFixed(1) + " % MAC"; // Check against limits var cgOutOfLimits = false; if (totalWeight > maxGrossWeight) { document.getElementById('main-result').style.backgroundColor = "#dc3545"; // Red for overload cgOutOfLimits = true; } else if (cgPercentMAC ((aftLimitIn – forwardLimitIn) / mac) * 100) { document.getElementById('main-result').style.backgroundColor = "#ffc107"; // Yellow for CG out of range cgOutOfLimits = true; } else { document.getElementById('main-result').style.backgroundColor = "var(–success-color)"; // Green for in limits } updateChart(totalWeight, cgPercentMAC); } function resetCalculator() { document.getElementById('emptyWeight').value = "1600"; document.getElementById('emptyMoment').value = "64000"; document.getElementById('pilotWeight').value = "170"; document.getElementById('pilotArm').value = "36"; document.getElementById('passenger1Weight').value = "150"; document.getElementById('passenger1Arm').value = "38"; document.getElementById('passenger2Weight').value = "150"; document.getElementById('passenger2Arm').value = "70"; document.getElementById('baggage1Weight').value = "50"; document.getElementById('baggage1Arm').value = "80"; document.getElementById('baggage2Weight').value = "50"; document.getElementById('baggage2Arm').value = "120"; // Reset fuel if fields exist if (document.getElementById('fuelGallons')) document.getElementById('fuelGallons').value = "0"; if (document.getElementById('fuelArm')) document.getElementById('fuelArm').value = "65"; // Clear errors var errorSpans = document.querySelectorAll('.error-message'); for (var i = 0; i < errorSpans.length; i++) { errorSpans[i].style.display = 'none'; } var inputs = document.querySelectorAll('input[type="number"], select'); for (var i = 0; i < inputs.length; i++) { inputs[i].classList.remove('invalid'); } calculateWeightAndBalance(); // Recalculate with defaults } function copyResults() { var mainResult = document.getElementById('main-result').textContent; var totalWeight = document.getElementById('totalWeight').textContent; var totalMoment = document.getElementById('totalMoment').textContent; var cgValue = document.getElementById('cgValue').textContent; var assumptions = "Key Assumptions:\n"; assumptions += "Datum: " + datum + " inches\n"; assumptions += "MAC: " + mac + " inches\n"; assumptions += "Forward Limit: " + forwardLimitIn + " inches\n"; assumptions += "Aft Limit: " + aftLimitIn + " inches\n"; assumptions += "Max Gross Weight: " + maxGrossWeight + " lbs\n"; if (document.getElementById('fuelGallons')) { assumptions += "Fuel Gallons: " + document.getElementById('fuelGallons').value + "\n"; assumptions += "Fuel Weight: " + (parseFloat(document.getElementById('fuelGallons').value) * 6).toFixed(1) + " lbs\n"; assumptions += "Fuel Arm: " + document.getElementById('fuelArm').value + " inches\n"; } else { assumptions += "Fuel (Example): 100 lbs @ 65 inches\n"; } var textToCopy = "Cessna 177RG Weight & Balance Results:\n\n" + mainResult + "\n" + "Total Weight: " + totalWeight + "\n" + "Total Moment: " + totalMoment + "\n" + "Center of Gravity: " + cgValue + "\n\n" + assumptions; navigator.clipboard.writeText(textToCopy).then(function() { alert('Results copied to clipboard!'); }, function(err) { console.error('Async: Could not copy text: ', err); alert('Failed to copy results. Please copy manually.'); }); } // Charting Functionality var myChart; var chartCanvas = document.getElementById('weightBalanceChart'); function updateChart(totalWeight, cgPercentMAC) { var ctx = chartCanvas.getContext('2d'); // Chart data based on typical Cessna 177RG limits // These are example limits; ALWAYS use the aircraft's POH. var chartData = { labels: ['CG (% MAC)'], datasets: [ { label: 'Forward CG Limit', data: [[0, 0]], // Placeholder, will be drawn as a line borderColor: 'orange', borderWidth: 2, type: 'line', // Force line type fill: false, pointRadius: 0 }, { label: 'Aft CG Limit', data: [[0, 0]], // Placeholder borderColor: 'red', borderWidth: 2, type: 'line', fill: false, pointRadius: 0 }, { label: 'Maximum Gross Weight', data: [[0, 0]], // Placeholder borderColor: 'purple', borderWidth: 2, type: 'line', fill: false, pointRadius: 0 }, { label: 'Current Loading', data: [[cgPercentMAC, totalWeight]], backgroundColor: 'green', borderColor: 'darkgreen', borderWidth: 2, type: 'scatter', // Use scatter for the single point pointRadius: 8 } ] }; // Define the envelope boundaries and limits for plotting // These are based on the forwardLimitIn, aftLimitIn, mac, and maxGrossWeight variables. // We need to map these to the chart's axes. // Y-axis: Weight (lbs) // X-axis: CG (% MAC) // Calculate the CG % MAC for the limits and max weight var maxWeight = maxGrossWeight; var forwardLimitPercentMAC = 0; // Corresponding to forwardLimitIn var aftLimitPercentMAC = ((aftLimitIn – forwardLimitIn) / mac) * 100; // We need to define the Y values for the limit lines. // The envelope is usually defined by lines connecting points. // Let's assume a typical envelope shape: // Point 1: Forward Limit (Forward Limit CG %, Min Weight) – often near 0 or minimum operational weight // Point 2: Forward Limit (Forward Limit CG %, Max Weight) // Point 3: Aft Limit (Aft Limit CG %, Max Weight) // Point 4: Aft Limit (Aft Limit CG %, Min Weight) – often near Aft Limit CG % // For simplicity, we'll draw horizontal lines for max weight and vertical lines for CG limits. // A more accurate chart would plot the exact envelope shape. // Redefine datasets for better charting chartData.datasets[0].data = [[forwardLimitPercentMAC, 0], [forwardLimitPercentMAC, maxWeight]]; // Line for Forward Limit chartData.datasets[1].data = [[aftLimitPercentMAC, 0], [aftLimitPercentMAC, maxWeight]]; // Line for Aft Limit chartData.datasets[2].data = [[0, maxWeight], [100, maxWeight]]; // Line for Max Gross Weight (assuming % MAC goes up to 100) // Remove placeholder data from scatter plot if it's not a valid number if (isNaN(cgPercentMAC) || isNaN(totalWeight) || totalWeight maxGrossWeight || cgPercentMAC aftLimitPercentMAC) { chartData.datasets[3].backgroundColor = 'red'; chartData.datasets[3].borderColor = 'darkred'; } else { chartData.datasets[3].backgroundColor = 'green'; chartData.datasets[3].borderColor = 'darkgreen'; } } if (myChart) { myChart.destroy(); } myChart = new Chart(ctx, { type: 'scatter', // Base type, but datasets can override data: chartData, options: { responsive: true, maintainAspectRatio: true, aspectRatio: 1.5, scales: { x: { title: { display: true, text: 'Center of Gravity (% MAC)', color: 'var(–primary-color)' }, min: -10, // Allow some margin max: 40, // Extend max slightly beyond typical aft limit for clarity ticks: { color: 'var(–text-color)' }, grid: { color: 'rgba(0, 0, 0, 0.1)' } }, y: { title: { display: true, text: 'Weight (lbs)', color: 'var(–primary-color)' }, min: 0, max: maxWeight + 200, // Add buffer space above max weight ticks: { color: 'var(–text-color)', callback: function(value, index, ticks) { if (value % 200 === 0) { // Show ticks every 200 lbs return value; } return null; } }, grid: { color: 'rgba(0, 0, 0, 0.1)' } } }, plugins: { legend: { position: 'top', }, title: { display: true, text: 'Cessna 177RG Weight & Balance Envelope', color: 'var(–primary-color)', font: { size: 16 } } }, // Ensure tooltips show relevant info tooltips: { callbacks: { label: function(tooltipItem, data) { var label = data.datasets[tooltipItem.datasetIndex].label || "; if (label) { label += ': '; } if (tooltipItem.datasetIndex === 3) { // Current loading point label += '(' + tooltipItem.xLabel + ', ' + tooltipItem.yLabel + ')'; } else { // Limit lines label += tooltipItem.yLabel; } return label; } } } } }); } // Initial calculation on page load document.addEventListener('DOMContentLoaded', function() { // Dynamically add fuel input fields if they are missing from the base HTML structure for demonstration purposes // In a real scenario, these would be part of the initial HTML. var fuelInputsExist = document.getElementById('fuelGallons') && document.getElementById('fuelArm'); if (!fuelInputsExist) { // Simulate adding fuel inputs for calculation logic demonstration var calculatorWrapper = document.querySelector('.calculator-wrapper'); var fuelInputGroupGallons = document.createElement('div'); fuelInputGroupGallons.className = 'input-group'; fuelInputGroupGallons.innerHTML = ` Usable fuel in gallons. `; calculatorWrapper.appendChild(fuelInputGroupGallons); var fuelInputGroupArm = document.createElement('div'); fuelInputGroupArm.className = 'input-group'; fuelInputGroupArm.innerHTML = ` Horizontal distance of fuel from the datum (inches). `; calculatorWrapper.appendChild(fuelInputGroupArm); // Add reset button listener if it doesn't exist (though it should) var resetButton = document.querySelector('.btn-reset'); if (resetButton) { resetButton.onclick = resetCalculator; } } resetCalculator(); // Run calculation with default values on load // Initialize chart on page load updateChart([], []); // Initialize with empty data });

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