Airplane Weight and Balance Calculator

Enter station weights and arms with confidence quickly. Compare useful load, fuel, and limits easily. See balanced takeoff and landing results before every flight.

Calculator Inputs

Formula Used

The calculator uses the standard moment method. Each station moment equals station weight multiplied by station arm.

Moment = Weight × Arm

Total CG = Total Moment ÷ Total Weight

Takeoff Fuel = Ramp Fuel − Taxi Fuel

Landing Fuel = Ramp Fuel − Taxi Fuel − Trip Fuel

CG as MAC = ((CG − Leading Edge MAC Arm) ÷ MAC Length) × 100

The result is checked against forward and aft limits. Weight is also compared with ramp, takeoff, landing, and zero fuel limits.

How to Use This Calculator

  1. Enter empty aircraft weight and empty arm from approved documents.
  2. Add passenger, baggage, cargo, and fuel station values.
  3. Enter taxi fuel and trip fuel for landing balance.
  4. Enter aircraft weight limits and center of gravity limits.
  5. Add MAC values only when percentage MAC output is needed.
  6. Press Calculate to view zero fuel, ramp, takeoff, and landing results.
  7. Use CSV or PDF download for record review.

Example Data Table

Station Weight Arm Moment
Empty aircraft 1450 lb 39.2 in 56840 lb-in
Pilot and front passenger 350 lb 37 in 12950 lb-in
Rear passengers 220 lb 73 in 16060 lb-in
Baggage 40 lb 95 in 3800 lb-in
Takeoff fuel 288 lb 48 in 13824 lb-in

Airplane Weight and Balance Guide

Why Balance Matters

Airplane balance is a physics problem with real flight consequences. Every item has weight. Every item also has a station arm. The arm is the distance from the chosen datum. Weight multiplied by arm gives moment. Total moment divided by total weight gives the center of gravity.

CG Limits

A safe airplane is not only below maximum weight. Its center of gravity must stay between approved forward and aft limits. A forward center of gravity can demand more elevator force. It can increase takeoff distance. An aft center of gravity can reduce stability. It can also make stall recovery harder. That is why a balance check belongs in every preflight plan.

What This Tool Checks

This calculator lets you model common loading stations. You can enter empty weight, pilot seats, passengers, baggage, fuel, and optional cargo. You can also enter fuel burn for landing balance. The tool calculates zero fuel, takeoff, and landing conditions. It compares each condition with the limits you enter. This supports quick loading studies before using the official aircraft document.

Physics Method

The method uses basic rotational equilibrium. Each station creates a moment around the datum. Added stations move the combined center of gravity. Fuel burn removes weight and moment from the fuel station. Because fuel often sits near a different arm, landing balance can shift after flight time. The landing check helps reveal that shift.

Input Accuracy

Good input data matters. Use the current aircraft weight and balance sheet. Use measured passenger and baggage weights when possible. Use the correct fuel weight per gallon. Aviation gasoline is often estimated near six pounds per gallon, but operators may use a specific value. Jet fuel may differ. Always follow the aircraft handbook.

Reading the Output

The output table is useful for review. It shows each station, weight, arm, and moment. It also reports remaining capacity, moment totals, and center of gravity margins. Green or red colors are not needed. The status text explains whether values are inside or outside limits.

Safety Note

This page is an estimator. It does not replace approved data. Pilots must use the aircraft flight manual, supplements, and operating rules. Still, the calculator can reduce arithmetic errors. It can test loading choices fast. It can also teach the physics behind safe balance decisions during planning and flight instruction.

FAQs

1. What is airplane weight and balance?

It is the process of finding total aircraft weight and center of gravity. It checks whether loading stays within approved limits for safe handling.

2. What is a station arm?

A station arm is the distance from the aircraft datum to a loading point. It is usually measured in inches.

3. What is moment in this calculator?

Moment is weight multiplied by arm. It shows the turning effect of each item around the selected datum.

4. Why does landing balance differ from takeoff balance?

Fuel burns during flight. Removing fuel weight and moment can shift the center of gravity by landing.

5. What does forward CG mean?

Forward CG means the center of gravity is closer to the nose. Too much forward loading can affect takeoff and elevator authority.

6. What does aft CG mean?

Aft CG means the center of gravity is farther rearward. Too much aft loading can reduce stability and recovery margin.

7. Can I use this for legal dispatch?

No. Use the approved aircraft flight manual, weight and balance records, and official operating procedures for dispatch decisions.

8. Why enter MAC values?

Some aircraft express balance as percent MAC. Enter leading edge MAC arm and MAC length to calculate that value.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.