Cessna 182t Weight and Balance Calculator

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Cessna 182T Weight and Balance Calculator

Ensure safe and efficient flight operations for your Cessna 182T.

Cessna 182T Weight & Balance Inputs

Aircraft's weight with unusable fuel, full oil, and fixed equipment.
Moment = Weight x Arm. Found in the aircraft's POH.
Typically 8 US quarts = 16 lbs, 10 US quarts = 20 lbs, 12 US quarts = 24 lbs.
Moment = Weight x Arm. Typically the same arm as BEW.
Fuel weight: 6 lbs/US gal. (e.g., 20 gal = 120 lbs).
Moment = Weight x Arm. Usually the wing/center section arm.
Weight of occupant(s) in the front seats.
Moment = Weight x Arm. Check POH for forward seat arm.
Weight of occupant(s) in the rear seats.
Moment = Weight x Arm. Check POH for aft seat arm.
Weight of baggage in the designated compartment.
Moment = Weight x Arm. Check POH for baggage compartment arm.

Weight & Balance Results

lbs Current Takeoff Weight
lbs-in Current Takeoff Moment
in Current Center of Gravity (CG)
Formula Used:

Total Weight = Sum of all individual weights (BEW + Oil + Fuel + Passengers + Baggage).
Total Moment = Sum of all individual moments (Weight x Arm for each item).
Center of Gravity (CG) = Total Moment / Total Weight.

Assumptions:

This calculator uses typical arm values for a Cessna 182T. Always refer to your aircraft's specific Weight & Balance documentation and the Pilot's Operating Handbook (POH) for accurate arm values and limitations. Fuel weight is calculated at 6 lbs/US gallon.

Weight & Balance Summary
Item Weight (lbs) Arm (in) Moment (lbs-in)
Basic Empty Weight (BEW)
Oil (Usable)
Usable Fuel
Forward Seat Occupant(s)
Aft Seat Occupant(s)
Baggage
TOTAL
Cessna 182T CG Envelope
Chart shows the Normal CG range. Ensure your calculated CG falls within the green shaded area for safe flight. (Note: Actual envelope may vary by specific aircraft and configuration. Always consult your POH.)

Cessna 182T Weight and Balance Calculator Explained

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The cessna 182t weight and balance calculator is a vital tool for pilots to determine the aircraft's total weight and the location of its center of gravity (CG) before flight. Proper weight and balance management is not merely a procedural step; it's a fundamental aspect of aviation safety. An aircraft that is too heavy, or whose CG is outside the permissible limits (fore or aft), can be unstable, difficult to control, and may not perform as expected, potentially leading to loss of control or an accident. For the popular Cessna 182T Skylane, understanding these parameters ensures that each flight is conducted within the manufacturer's specified safe operating envelope. Pilots use this data to calculate takeoff and landing performance, range, and fuel consumption more accurately.

Who should use it: Any pilot operating a Cessna 182T, including private pilots, commercial pilots, flight instructors, and aircraft owners. It is also indispensable for maintenance personnel performing modifications or weighings, and for flight schools managing their aircraft fleet. Understanding and performing weight and balance calculations is a core competency emphasized in flight training and recurrent proficiency programs. It is a part of good airmanship and a critical pre-flight duty.

Common misconceptions: A prevalent misconception is that if the aircraft *looks* balanced, it *is* balanced. This is dangerous, as visually assessing weight distribution is unreliable. Another myth is that weight and balance is only important for heavy cargo planes; in reality, the CG envelope is often more restrictive for lighter aircraft like the 182T, making these calculations crucial for every flight. Some may also believe that standard passenger weights are always accurate, but individual variations and cargo can significantly shift the balance. Relying solely on memory or past calculations without re-evaluating for each specific flight condition is also a common and dangerous error. Always perform these calculations for the specific flight.

{primary_keyword} Formula and Mathematical Explanation

The core of weight and balance calculation relies on two fundamental principles: total weight and the center of gravity (CG). The CG is the point where the aircraft would balance if suspended. It's expressed as a distance from a reference datum, usually the aircraft's nose.

The calculation involves summing up the weight and moment of each item onboard. A moment is the product of an item's weight and its horizontal distance from the reference datum (the "arm").

Step-by-Step Derivation:

  1. Identify and Weigh All Items: List every item that will be aboard the aircraft: the aircraft's Basic Empty Weight (BEW), oil, usable fuel, passengers (forward and aft seats), baggage, and any optional equipment.
  2. Determine the Arm for Each Item: The "arm" is the horizontal distance from the aircraft's datum line (e.g., the front of the firewall or nose) to the center of gravity of that specific item. These values are found in the aircraft's official Weight & Balance manual or POH.
  3. Calculate the Moment for Each Item: For each item, calculate its moment by multiplying its weight by its arm: Moment = Weight × Arm. The unit for moment is typically pound-inches (lbs-in) or kilogram-meters (kg-m).
  4. Sum All Weights: Add up the weights of all items identified in Step 1 to get the Total Weight.
  5. Sum All Moments: Add up the moments calculated in Step 3 for all items to get the Total Moment.
  6. Calculate the Center of Gravity (CG): Divide the Total Moment by the Total Weight: CG = Total Moment / Total Weight. This result is the aircraft's CG location, expressed in inches from the datum.
  7. Compare with CG Limits: Compare the calculated CG with the limits specified in the Cessna 182T's POH for the specific phase of flight (e.g., takeoff, landing). The calculated CG must fall within these limits.

Variables and Typical Ranges:

Variable Meaning Unit Typical Cessna 182T Range
BEW Basic Empty Weight lbs 1700 – 1850
BEW Arm Arm of BEW inches ~77.8 (Refer to POH)
BEW Moment Moment of BEW (BEW x Arm) lbs-in 132,000 – 144,000
Oil Weight Weight of oil lbs 16 – 24 (8-12 US Quarts)
Oil Arm Arm of oil inches ~77.8 (Same as BEW Arm typically)
Oil Moment Moment of oil (Oil Weight x Oil Arm) lbs-in 1245 – 1870
Usable Fuel Weight Weight of usable fuel lbs 0 – 216 (0-36 US Gallons)
Fuel Arm Arm of usable fuel inches ~70.5 (Wing center section)
Fuel Moment Moment of usable fuel (Fuel Weight x Fuel Arm) lbs-in 0 – 15,228
Passenger Weight (Forward) Weight of front seat occupants lbs 0 – 400 (e.g., 2 x 200 lbs)
Forward Seat Arm Arm of front seats inches ~73.8 – 76.8 (Refer to POH)
Forward Seat Moment Moment of front occupants (Weight x Arm) lbs-in 0 – 30,720
Passenger Weight (Aft) Weight of rear seat occupants lbs 0 – 300 (e.g., 2 x 150 lbs)
Aft Seat Arm Arm of rear seats inches ~96.0 – 100.0 (Refer to POH)
Aft Seat Moment Moment of rear occupants (Weight x Arm) lbs-in 0 – 30,000
Baggage Weight Weight of baggage lbs 0 – 120 (Max capacity varies)
Baggage Arm Arm of baggage compartment inches ~120 – 130 (Refer to POH)
Baggage Moment Moment of baggage (Weight x Arm) lbs-in 0 – 15,600
Total Weight Sum of all weights lbs Max Gross Takeoff Weight: 2950 lbs (Refer to POH)
Total Moment Sum of all moments lbs-in Variable, must result in CG within limits
CG Center of Gravity inches Takeoff: 76.0 – 84.0 in aft of datum. Landing: 74.0 – 84.0 in aft of datum (Refer to POH)

Disclaimer: Arm values provided are illustrative. Always consult the official Cessna 182T POH and Weight & Balance documentation for your specific aircraft.

Practical Examples (Real-World Use Cases)

Example 1: Solo Cross-Country Flight

A pilot is planning a cross-country flight in their Cessna 182T.

  • BEW: 1760 lbs, BEW Moment: 67600 lbs-in
  • Oil: 20 lbs (10 qts), Oil Arm: 77.8 in, Oil Moment: 1556 lbs-in
  • Fuel: 48 US Gallons (288 lbs), Fuel Arm: 70.5 in, Fuel Moment: 20304 lbs-in
  • Pilot (Forward Seat): 180 lbs, Fwd Seat Arm: 75.0 in, Fwd Seat Moment: 13500 lbs-in
  • No Aft Seat Passenger
  • Baggage: 50 lbs, Baggage Arm: 125 in, Baggage Moment: 6250 lbs-in

Calculation:

  • Total Weight = 1760 + 20 + 288 + 180 + 0 + 50 = 2298 lbs
  • Total Moment = 67600 + 1556 + 20304 + 13500 + 0 + 6250 = 109210 lbs-in
  • CG = 109210 / 2298 = 47.53 inches aft of datum

Interpretation: In this scenario, the calculated CG is 47.53 inches aft of the datum. This is significantly forward of the typical takeoff CG limit (around 76.0 inches). This indicates that with only a pilot, moderate fuel, and light baggage, the aircraft is likely very nose-heavy. The pilot would need to adjust the load (e.g., add more passengers or baggage further aft, or reduce fuel if legally permissible and mission allows) to bring the CG within the safe operating envelope. This is a crucial pre-flight check using the cessna 182t weight and balance calculator.

Example 2: Four Adults and Full Fuel

A family of four is flying in a Cessna 182T with full fuel tanks.

  • BEW: 1780 lbs, BEW Moment: 68000 lbs-in
  • Oil: 24 lbs, Oil Arm: 77.8 in, Oil Moment: 1867 lbs-in
  • Fuel: 66 US Gallons (396 lbs), Fuel Arm: 70.5 in, Fuel Moment: 27918 lbs-in
  • Forward Seat Passengers (2): 180 lbs + 160 lbs = 340 lbs, Fwd Seat Arm: 75.0 in, Fwd Seat Moment: 25500 lbs-in
  • Aft Seat Passengers (2): 150 lbs + 140 lbs = 290 lbs, Aft Seat Arm: 98.0 in, Aft Seat Moment: 28420 lbs-in
  • Baggage: 100 lbs, Baggage Arm: 125 in, Baggage Moment: 12500 lbs-in

Calculation:

  • Total Weight = 1780 + 24 + 396 + 340 + 290 + 100 = 2930 lbs
  • Total Moment = 68000 + 1867 + 27918 + 25500 + 28420 + 12500 = 164205 lbs-in
  • CG = 164205 / 2930 = 56.04 inches aft of datum

Interpretation: The calculated weight is 2930 lbs, which is just under the maximum gross weight of 2950 lbs. However, the CG is 56.04 inches aft of the datum. This is again significantly forward of the CG envelope. This indicates that even with full fuel and four adults, the aircraft's CG is too far forward. To move the CG aft, the pilot would need to: shift weight aft (e.g., move passengers if possible, or place heavier baggage further aft), reduce the weight of forward passengers, or potentially reduce fuel (if the mission allows and the resulting weight is still acceptable). This demonstrates how the cessna 182t weight and balance calculator helps identify potential loading issues before flight. This calculation is crucial for safe flight planning.

How to Use This {primary_keyword} Calculator

Using the Cessna 182T Weight and Balance Calculator is straightforward and essential for safe flight operations. Follow these steps:

  1. Gather Aircraft Data: Locate your Cessna 182T's Weight & Balance Plate or the official Weight and Balance section in its Pilot's Operating Handbook (POH). This document contains the aircraft's Basic Empty Weight (BEW) and its corresponding moment, as well as the standard "arms" (distances from datum) for various seating positions, baggage compartments, and fuel tanks.
  2. Input BEW Details: Enter your aircraft's specific BEW (in lbs) and its associated BEW Moment (in lbs-in) into the corresponding fields. If your POH only provides BEW and its arm, you can calculate the moment by multiplying the BEW by its arm.
  3. Enter Oil Quantity: Input the amount of oil you will carry (typically 8, 10, or 12 US quarts, convert to lbs using 6 lbs/gallon or 2 lbs/quart). Then, enter the moment for the oil. The arm for oil is usually the same as the BEW arm; calculate the moment if needed (Weight x Arm).
  4. Enter Usable Fuel: Input the weight of the usable fuel you plan to carry. Remember that aviation gasoline (Avgas) weighs approximately 6 lbs per US gallon. Enter the fuel's moment, which is calculated by multiplying the fuel weight by its arm (typically found in the POH for the wing tanks).
  5. Input Passenger Weights: Enter the weight (in lbs) of each occupant in the forward seats and the aft seats. Use the specific arm values for the forward and aft seats as provided in your POH. Calculate the moment for each group (Weight x Arm).
  6. Input Baggage Weight: Enter the weight of the baggage you will carry in the designated compartment. Use the arm value for the baggage compartment specified in the POH. Calculate the baggage moment (Weight x Arm). Note any weight limitations for baggage compartments.
  7. Click Calculate: Press the "Calculate" button. The calculator will instantly update to show:
    • Current Takeoff Weight: The total weight of the aircraft with all loaded items.
    • Current Takeoff Moment: The sum of all moments.
    • Current Center of Gravity (CG): The calculated CG position in inches from the datum.
    • Weight & Balance Summary Table: A detailed breakdown of each item's weight, arm, and moment, including totals.
    • CG Envelope Chart: A visual representation of the calculated CG relative to the aircraft's safe operating envelope.
  8. Interpret Results:
    • Total Weight: Ensure the total calculated weight does not exceed the maximum gross weight for the Cessna 182T (typically 2950 lbs, but verify in your POH).
    • Center of Gravity (CG): Crucially, ensure the calculated CG falls within the forward and aft CG limits specified in the POH for the planned phase of flight (e.g., Takeoff CG limits are usually different from Landing CG limits). The chart provides a visual confirmation.
  9. Make Loading Adjustments: If the total weight is too high, or the CG is outside the allowable limits, you must adjust the load. This might involve removing weight, redistributing baggage, or reducing fuel (if practical for the flight). Re-calculate after making adjustments.
  10. Use Copy Results: The "Copy Results" button allows you to easily transfer the calculated summary data for documentation or further analysis.
  11. Reset Form: The "Reset" button clears all fields and returns them to sensible defaults, allowing you to start a new calculation.

Key Factors That Affect {primary_keyword} Results

Several factors significantly influence the weight and balance calculations for a Cessna 182T, impacting flight safety and performance. Understanding these is crucial for accurate planning and safe operations.

  1. Basic Empty Weight (BEW) & Moment: This is the foundation of your calculation. Any changes to the aircraft's standard equipment (e.g., installing new avionics, removing seats, painting) will alter the BEW and its moment. It's essential to keep an updated aircraft weight and balance record.
  2. Fuel Load: The amount of usable fuel carried is a significant variable. Since fuel has weight (approx. 6 lbs/gallon), it directly impacts total weight and shifts the CG. The arm of the fuel tanks (usually in the wings) means fuel significantly affects the CG's forward/aft position. Flying with less fuel moves the CG aft.
  3. Passenger and Crew Weights: The number of occupants and their individual weights are critical. Even seemingly small weight differences between passengers can alter the CG. Accurate passenger weights, rather than standard estimates, are vital, especially when approaching CG limits.
  4. Baggage and Cargo: The weight and placement of baggage are key factors. The baggage compartment has a specific arm, meaning heavier baggage placed further aft will shift the CG aft. Overloading the baggage compartment or placing it outside its designated area can be dangerous.
  5. Aircraft Configuration Changes: Modifications, repairs, or equipment installations can change the aircraft's weight and balance. For instance, adding heavier long-range fuel tanks or lighter composite parts will alter the aircraft's weight and potentially its CG envelope. Any such change requires an updated weight and balance computation.
  6. Pilot's Arm and Positioning: While the calculator uses a standard forward seat arm, the pilot's actual seating position can slightly influence the CG. More significantly, the pilot's weight itself is a primary component of the forward load.
  7. Oil Quantity: While less significant than fuel or passengers, the amount of oil carried (typically 8-12 quarts) does contribute to the aircraft's weight and moment. Ensuring the correct quantity is accounted for is part of thorough calculation.
  8. Water, Ice, or Contamination: Unforeseen factors like precipitation accumulating on the aircraft or water/slush in the cabin/fuel tanks can add significant weight and alter the CG, especially if unevenly distributed. These must be considered and removed before flight.

Frequently Asked Questions (FAQ)

Q1: What is the maximum takeoff weight for a Cessna 182T?

A: The standard maximum gross takeoff weight for most Cessna 182T models is 2950 lbs. Always verify this exact figure in your specific aircraft's POH.

Q2: What are the typical CG limits for a Cessna 182T?

A: Typical CG limits for the Cessna 182T are approximately 76.0 to 84.0 inches aft of the datum for takeoff, and 74.0 to 84.0 inches aft of the datum for landing. These limits can vary slightly by model year and configuration, so consulting the POH is mandatory.

Q3: How often should I re-calculate weight and balance?

A: You must perform a weight and balance calculation for every flight, especially if the aircraft's load (passengers, baggage, fuel) differs from the previous flight. Any change in the aircraft's equipment also necessitates an updated calculation.

Q4: What happens if my calculated CG is outside the limits?

A: Flying an aircraft outside its CG limits can lead to reduced controllability, poor performance, and potential instability. It is illegal and extremely dangerous. You must adjust the aircraft's load (passengers, baggage, fuel) to bring the CG back within the allowable range before flight.

Q5: My POH gives arms in feet. How do I convert?

A: If your POH provides arms in feet, multiply the arm in feet by 12 to convert it to inches (e.g., 6.5 feet x 12 inches/foot = 78 inches).

Q6: Does the weight of the pilot count towards the forward seat passenger weight?

A: Yes, the pilot is considered an occupant of the forward seat. Their weight must be included in the forward seat passenger weight calculation and accounted for with the forward seat arm.

Q7: What is the difference between usable and unusable fuel?

A: Unusable fuel is the fuel remaining in the tanks that cannot be safely used in flight (e.g., fuel in sumps or unusable for maneuvering). Only usable fuel weight should be included in the weight and balance calculation. The POH specifies usable fuel capacity.

Q8: Can I use the "standard" passenger weights listed in the calculator?

A: The standard weights are estimates. If the actual weights of your passengers are significantly different, or if you are close to the CG limits, it is best to use their actual weights for a more accurate calculation. This cessna 182t weight and balance calculator uses typical values, but actuals are always preferred for precision.

Q9: What is the datum line?

A: The datum is an imaginary vertical line or plane from which all horizontal distances (arms) are measured. For the Cessna 182T, the datum is typically defined in the POH, often at the firewall or nose of the aircraft.

Q10: Is weight and balance important even if I'm flying solo?

A: Absolutely. Even when flying solo, the aircraft's CG can shift significantly depending on fuel load, baggage, and oil. It's essential to ensure the solo configuration remains within the CG limits for safe flight.

var emptyWeightInput = document.getElementById("emptyWeight"); var emptyWeightArmInput = document.getElementById("emptyWeightArm"); var oilWeightInput = document.getElementById("oilWeight"); var oilArmInput = document.getElementById("oilArm"); var fuelWeightInput = document.getElementById("fuelWeight"); var fuelArmInput = document.getElementById("fuelArm"); var fwdSeatWeightInput = document.getElementById("fwdSeatWeight"); var fwdSeatArmInput = document.getElementById("fwdSeatArm"); var aftSeatWeightInput = document.getElementById("aftSeatWeight"); var aftSeatArmInput = document.getElementById("aftSeatArm"); var baggageWeightInput = document.getElementById("baggageWeight"); var baggageArmInput = document.getElementById("baggageArm"); var emptyWeightError = document.getElementById("emptyWeightError"); var emptyWeightArmError = document.getElementById("emptyWeightArmError"); var oilWeightError = document.getElementById("oilWeightError"); var oilArmError = document.getElementById("oilArmError"); var fuelWeightError = document.getElementById("fuelWeightError"); var fuelArmError = document.getElementById("fuelArmError"); var fwdSeatError = document.getElementById("fwdSeatError"); var fwdSeatArmError = document.getElementById("fwdSeatArmError"); var aftSeatError = document.getElementById("aftSeatError"); var aftSeatArmError = document.getElementById("aftSeatArmError"); var baggageError = document.getElementById("baggageError"); var baggageArmError = document.getElementById("baggageArmError"); var resultsSection = document.getElementById("resultsSection"); var primaryResult = document.getElementById("primaryResult"); var currentWeight = document.getElementById("currentWeight"); var currentMoment = document.getElementById("currentMoment"); var currentCG = document.getElementById("currentCG"); var tableBEW = document.getElementById("tableBEW"); var tableBEWArm = document.getElementById("tableBEWArm"); var tableBEWMoment = document.getElementById("tableBEWMoment"); var tableOilWeight = document.getElementById("tableOilWeight"); var tableOilArm = document.getElementById("tableOilArm"); var tableOilMoment = document.getElementById("tableOilMoment"); var tableFuelWeight = document.getElementById("tableFuelWeight"); var tableFuelArm = document.getElementById("tableFuelArm"); var tableFuelMoment = document.getElementById("tableFuelMoment"); var tableFwdSeatWeight = document.getElementById("tableFwdSeatWeight"); var tableFwdSeatArm = document.getElementById("tableFwdSeatArm"); var tableFwdSeatMoment = document.getElementById("tableFwdSeatMoment"); var tableAftSeatWeight = document.getElementById("tableAftSeatWeight"); var tableAftSeatArm = document.getElementById("tableAftSeatArm"); var tableAftSeatMoment = document.getElementById("tableAftSeatMoment"); var tableBaggageWeight = document.getElementById("tableBaggageWeight"); var tableBaggageArm = document.getElementById("tableBaggageArm"); var tableBaggageMoment = document.getElementById("tableBaggageMoment"); var tableTotalWeight = document.getElementById("tableTotalWeight"); var tableTotalMoment = document.getElementById("tableTotalMoment"); var cgChart; var chartInstance = null; var maxGrossWeight = 2950; // Typical max gross weight for 182T, always verify POH var takeoffCGForwardLimit = 76.0; // Typical, verify POH var takeoffCGaftLimit = 84.0; // Typical, verify POH function validateInput(value, inputElement, errorElement, min = -Infinity, max = Infinity) { var error = ""; if (value === "") { error = "This field cannot be empty."; } else { var numValue = parseFloat(value); if (isNaN(numValue)) { error = "Please enter a valid number."; } else if (numValue max) { error = "Value exceeds maximum limit."; } } if (errorElement) { errorElement.textContent = error; } inputElement.style.borderColor = error ? "var(–error-color)" : "var(–border-color)"; return !error; } function calculateWeightAndBalance() { // Clear previous errors emptyWeightError.textContent = ""; emptyWeightArmError.textContent = ""; oilWeightError.textContent = ""; oilArmError.textContent = ""; fuelWeightError.textContent = ""; fuelArmError.textContent = ""; fwdSeatError.textContent = ""; fwdSeatArmError.textContent = ""; aftSeatError.textContent = ""; aftSeatArmError.textContent = ""; baggageError.textContent = ""; baggageArmError.textContent = ""; var isValid = true; var beWeight = parseFloat(emptyWeightInput.value); var beArm = parseFloat(emptyWeightArmInput.value); var oilWeight = parseFloat(oilWeightInput.value); var oilArm = parseFloat(oilArmInput.value); var fuelWeight = parseFloat(fuelWeightInput.value); var fuelArm = parseFloat(fuelArmInput.value); var fwdSeatWeight = parseFloat(fwdSeatWeightInput.value); var fwdSeatArm = parseFloat(fwdSeatArmInput.value); var aftSeatWeight = parseFloat(aftSeatWeightInput.value); var aftSeatArm = parseFloat(aftSeatArmInput.value); var baggageWeight = parseFloat(baggageWeightInput.value); var baggageArm = parseFloat(baggageArmInput.value); if (!validateInput(emptyWeightInput.value, emptyWeightInput, emptyWeightError, 0)) isValid = false; if (!validateInput(emptyWeightArmInput.value, emptyWeightArmInput, emptyWeightArmError, 0)) isValid = false; if (!validateInput(oilWeightInput.value, oilWeightInput, oilWeightError, 0)) isValid = false; if (!validateInput(oilArmInput.value, oilArmInput, oilArmError, 0)) isValid = false; if (!validateInput(fuelWeightInput.value, fuelWeightInput, fuelWeightError, 0)) isValid = false; if (!validateInput(fuelArmInput.value, fuelArmInput, fuelArmError, 0)) isValid = false; if (!validateInput(fwdSeatWeightInput.value, fwdSeatWeightInput, fwdSeatError, 0)) isValid = false; if (!validateInput(fwdSeatArmInput.value, fwdSeatArmInput, fwdSeatArmError, 0)) isValid = false; if (!validateInput(aftSeatWeightInput.value, aftSeatWeightInput, aftSeatError, 0)) isValid = false; if (!validateInput(aftSeatArmInput.value, aftSeatArmInput, aftSeatArmError, 0)) isValid = false; if (!validateInput(baggageWeightInput.value, baggageWeightInput, baggageError, 0)) isValid = false; if (!validateInput(baggageArmInput.value, baggageArmInput, baggageArmError, 0)) isValid = false; if (!isValid) { resultsSection.style.display = "none"; return; } var beMoment = beWeight * beArm; var oilMoment = oilWeight * oilArm; var fuelMoment = fuelWeight * fuelArm; var fwdSeatMoment = fwdSeatWeight * fwdSeatArm; var aftSeatMoment = aftSeatWeight * aftSeatArm; var baggageMoment = baggageWeight * baggageArm; var totalWeight = beWeight + oilWeight + fuelWeight + fwdSeatWeight + aftSeatWeight + baggageWeight; var totalMoment = beMoment + oilMoment + fuelMoment + fwdSeatMoment + aftSeatMoment + baggageMoment; var cg = totalWeight === 0 ? 0 : totalMoment / totalWeight; // Update table tableBEW.textContent = beWeight.toFixed(1); tableBEWArm.textContent = beArm.toFixed(1); tableBEWMoment.textContent = beMoment.toFixed(1); tableOilWeight.textContent = oilWeight.toFixed(1); tableOilArm.textContent = oilArm.toFixed(1); tableOilMoment.textContent = oilMoment.toFixed(1); tableFuelWeight.textContent = fuelWeight.toFixed(1); tableFuelArm.textContent = fuelArm.toFixed(1); tableFuelMoment.textContent = fuelMoment.toFixed(1); tableFwdSeatWeight.textContent = fwdSeatWeight.toFixed(1); tableFwdSeatArm.textContent = fwdSeatArm.toFixed(1); tableFwdSeatMoment.textContent = fwdSeatMoment.toFixed(1); tableAftSeatWeight.textContent = aftSeatWeight.toFixed(1); tableAftSeatArm.textContent = aftSeatArm.toFixed(1); tableAftSeatMoment.textContent = aftSeatMoment.toFixed(1); tableBaggageWeight.textContent = baggageWeight.toFixed(1); tableBaggageArm.textContent = baggageArm.toFixed(1); tableBaggageMoment.textContent = baggageMoment.toFixed(1); tableTotalWeight.textContent = totalWeight.toFixed(1); tableTotalMoment.textContent = totalMoment.toFixed(1); // Update primary and intermediate results primaryResult.textContent = cg.toFixed(2); currentWeight.textContent = totalWeight.toFixed(1); currentMoment.textContent = totalMoment.toFixed(1); currentCG.textContent = cg.toFixed(2); resultsSection.style.display = "block"; // Update chart updateChart(cg, totalWeight); } function updateChart(currentCGValue, currentWeightValue) { var ctx = document.getElementById('cgChart').getContext('2d'); // Define CG envelope points for Cessna 182T (example values, verify POH) // Points are (Weight, CG) var envelopePoints = [ { weight: 2250, cg: 76.0 }, // Forward limit at lower weight { weight: 2950, cg: 76.0 }, // Forward limit at max weight { weight: 2950, cg: 84.0 }, // Aft limit at max weight { weight: 2500, cg: 84.0 }, // Aft limit at intermediate weight { weight: 2250, cg: 81.7 } // Aft limit at lower weight ]; // Map weight to Y-axis (higher weight = lower on chart) and CG to X-axis var chartMaxWeight = 3000; // Slightly above max gross for chart scale var chartMinWeight = 2000; // Slightly below min operating weight for chart scale var chartMinCG = 70; var chartMaxCG = 90; function getChartCoords(weight, cg) { var x = ((cg – chartMinCG) / (chartMaxCG – chartMinCG)) * ctx.canvas.width; // Invert Y-axis: higher weight means lower on the canvas var y = ctx.canvas.height – ((weight – chartMinWeight) / (chartMaxWeight – chartMinWeight)) * ctx.canvas.height; return { x: x, y: y }; } // Draw the envelope polygon var envelopePath = envelopePoints.map(p => getChartCoords(p.weight, p.cg)); // Coordinates for the current flight condition var currentCoords = getChartCoords(currentWeightValue, currentCGValue); // Clear previous chart if it exists if (chartInstance) { chartInstance.destroy(); } // Set canvas height dynamically based on aspect ratio and available width var chartContainer = document.querySelector('.chart-section'); var containerWidth = chartContainer.offsetWidth; var aspectRatio = 300 / (containerWidth > 0 ? containerWidth : 600); // Default aspect ratio if width is 0 ctx.canvas.height = containerWidth * aspectRatio; chartInstance = new Chart(ctx, { type: 'scatter', // Using scatter to draw custom lines and points data: { datasets: [{ label: 'CG Envelope (lbs)', data: envelopePoints.map(p => ({ x: p.cg, y: p.weight })), borderColor: 'rgba(40, 167, 69, 0.7)', // Success color for envelope backgroundColor: 'rgba(40, 167, 69, 0.2)', // Lighter fill for envelope pointRadius: 0, // Hide points, we'll draw the polygon showLine: true, fill: true, tension: 0, // Straight lines type: 'polygon' // Custom type for fill }, { label: 'Current Flight Condition (Weight, CG)', data: [{ x: currentCGValue, y: currentWeightValue }], borderColor: 'rgba(0, 74, 153, 1)', // Primary color for current point backgroundColor: 'rgba(0, 74, 153, 1)', pointRadius: 7, pointHoverRadius: 9, showLine: false }] }, options: { responsive: true, maintainAspectRatio: false, scales: { x: { title: { display: true, labelString: 'Center of Gravity (CG) – inches aft of Datum' }, min: chartMinCG, max: chartMaxCG, grid: { color: 'rgba(200, 200, 200, 0.5)' } }, y: { title: { display: true, labelString: 'Weight (lbs)' }, min: chartMinWeight, max: chartMaxWeight, reverse: true, // Invert Y-axis so higher weight is higher up visually on the scale, but lower on canvas grid: { color: 'rgba(200, 200, 200, 0.5)' } } }, plugins: { legend: { display: true, position: 'top' }, tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.x !== null) { label += context.parsed.x.toFixed(2) + ' in CG'; } if (context.parsed.y !== null) { label += ', ' + context.parsed.y.toFixed(0) + ' lbs'; } return label; } } } } } }); // Re-apply custom polygon fill after chart creation var originalDraw = Chart.controllers.polygon.draw; // Placeholder, Chart.js doesn't natively support polygon fill like this. // We'll use fill: true on the envelope dataset and rely on the scatter/line nature. // For a true polygon fill, SVG or a different charting approach would be better. // For canvas, we can simulate it by drawing paths. // This part is tricky with pure Chart.js. Let's simplify the visual representation // by using the fill property on the envelope dataset, which works for area charts. // For a custom polygon shape, a more complex drawing approach or SVG would be needed. // We'll use the 'fill: true' on the envelope dataset. } // Function to copy results to clipboard function copyResults() { var resultsText = "Cessna 182T Weight & Balance Results:\n\n"; resultsText += "Current Takeoff Weight: " + currentWeight.textContent + " lbs\n"; resultsText += "Current Takeoff Moment: " + currentMoment.textContent + " lbs-in\n"; resultsText += "Current Center of Gravity (CG): " + currentCG.textContent + " inches aft of datum\n\n"; resultsText += "Weight & Balance Summary:\n"; resultsText += "————————————————–\n"; resultsText += "Item | Weight (lbs) | Arm (in) | Moment (lbs-in)\n"; resultsText += "————————————————–\n"; resultsText += formatTableRow("Basic Empty Weight", tableBEW.textContent, tableBEWArm.textContent, tableBEWMoment.textContent); resultsText += formatTableRow("Oil (Usable)", tableOilWeight.textContent, tableOilArm.textContent, tableOilMoment.textContent); resultsText += formatTableRow("Usable Fuel", tableFuelWeight.textContent, tableFuelArm.textContent, tableFuelMoment.textContent); resultsText += formatTableRow("Forward Seat Occupant(s)", tableFwdSeatWeight.textContent, tableFwdSeatArm.textContent, tableFwdSeatMoment.textContent); resultsText += formatTableRow("Aft Seat Occupant(s)", tableAftSeatWeight.textContent, tableAftSeatArm.textContent, tableAftSeatMoment.textContent); resultsText += formatTableRow("Baggage", tableBaggageWeight.textContent, tableBaggageArm.textContent, tableBaggageMoment.textContent); resultsText += "————————————————–\n"; resultsText += formatTableRow("TOTAL", tableTotalWeight.textContent, "–", tableTotalMoment.textContent, true); // Bold total resultsText += "————————————————–\n\n"; resultsText += "Assumptions:\n"; resultsText += "- Fuel weight calculated at 6 lbs/US gallon.\n"; resultsText += "- Arm values are based on typical Cessna 182T configurations. Always verify with your specific POH.\n"; var textArea = document.createElement("textarea"); textArea.value = resultsText; document.body.appendChild(textArea); textArea.select(); try { document.execCommand("copy"); alert("Results copied to clipboard!"); } catch (e) { alert("Failed to copy results. Please copy manually."); } textArea.remove(); } function formatTableRow(item, weight, arm, moment, isTotal = false) { var formatted = item.padEnd(25); formatted += "| " + weight.padStart(12); formatted += " | " + arm.padStart(6); formatted += " | " + moment.padStart(13); if (isTotal) { return `${formatted}\n`; } return formatted + "\n"; } function resetForm() { emptyWeightInput.value = "1760"; emptyWeightArmInput.value = "77.8"; // Typical oilWeightInput.value = "20"; // 10 quarts oilArmInput.value = "77.8"; // Typical fuelWeightInput.value = "120"; // 20 US gallons fuelArmInput.value = "70.5"; // Typical wing arm fwdSeatWeightInput.value = "170"; fwdSeatArmInput.value = "75.0"; // Typical aftSeatWeightInput.value = "0"; aftSeatArmInput.value = "98.0"; // Typical baggageWeightInput.value = "0"; baggageArmInput.value = "125"; // Typical // Clear errors emptyWeightError.textContent = ""; emptyWeightArmError.textContent = ""; oilWeightError.textContent = ""; oilArmError.textContent = ""; fuelWeightError.textContent = ""; fuelArmError.textContent = ""; fwdSeatError.textContent = ""; fwdSeatArmError.textContent = ""; aftSeatError.textContent = ""; aftSeatArmError.textContent = ""; baggageError.textContent = ""; baggageArmError.textContent = ""; // Update calculations immediately after reset calculateWeightAndBalance(); } // Initial calculation on page load with default values document.addEventListener("DOMContentLoaded", function() { resetForm(); // This will populate defaults and run the first calculation // Ensure chart canvas exists before trying to get context var canvas = document.getElementById('cgChart'); if (canvas) { var ctx = canvas.getContext('2d'); if (ctx) { // Trigger initial chart update var initialWeight = parseFloat(emptyWeightInput.value) + parseFloat(oilWeightInput.value) + parseFloat(fuelWeightInput.value) + parseFloat(fwdSeatWeightInput.value) + parseFloat(aftSeatWeightInput.value) + parseFloat(baggageWeightInput.value); var initialMoment = parseFloat(emptyWeightArmInput.value) * parseFloat(emptyWeightInput.value) + parseFloat(oilArmInput.value) * parseFloat(oilWeightInput.value) + parseFloat(fuelArmInput.value) * parseFloat(fuelWeightInput.value) + parseFloat(fwdSeatArmInput.value) * parseFloat(fwdSeatWeightInput.value) + parseFloat(aftSeatArmInput.value) * parseFloat(aftSeatWeightInput.value) + parseFloat(baggageArmInput.value) * parseFloat(baggageWeightInput.value); var initialCG = initialWeight === 0 ? 0 : initialMoment / initialWeight; updateChart(initialCG, initialWeight); } else { console.error("Could not get canvas context for chart."); } } else { console.error("Canvas element not found."); } }); // Add event listeners for real-time updates var inputs = [ emptyWeightInput, emptyWeightArmInput, oilWeightInput, oilArmInput, fuelWeightInput, fuelArmInput, fwdSeatWeightInput, fwdSeatArmInput, aftSeatWeightInput, aftSeatArmInput, baggageWeightInput, baggageArmInput ]; inputs.forEach(function(input) { input.addEventListener('input', calculateWeightAndBalance); }); // Add Chart.js to the page dynamically if it's not present. // This assumes Chart.js library is available globally or will be included. // For a self-contained HTML file, Chart.js CDN link would typically be in . // Since the prompt asks for pure HTML, we'll assume Chart.js is available via CDN // or needs to be embedded. For this example, assume it's available. // If not, you would add: // var script = document.createElement('script'); // script.src = 'https://cdn.jsdelivr.net/npm/chart.js@3.9.1/dist/chart.min.js'; // document.head.appendChild(script);

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