flight calculators

Aircraft Weight and Balance Calculator

Compute total aircraft gross weight by summing empty weight, fuel, passengers, and baggage, then compare it against the maximum takeoff weight limit. Essential for pre-flight safety checks on any aircraft.

About this calculator

Every aircraft has a certified Maximum Takeoff Weight (MTOW) that must never be exceeded, as structural limits, aerodynamic performance, and regulatory approvals are all predicated on that figure. Gross weight is calculated as: Gross Weight = emptyWeight + fuelWeight + passengerWeight + baggageWeight. Each component is measured in pounds (or kilograms in metric systems). The calculator compares the computed gross weight to the entered MTOW and flags any exceedance. Beyond total weight, a complete weight-and-balance analysis also requires verifying that the center of gravity (CG) falls within the aircraft's forward and aft CG limits — which depends on the arm (moment arm distance) of each item from the datum — but this calculator focuses on the weight summation step as the first gate in the preflight check.

How to use

A Cessna 172 has an empty weight of 1,680 lbs. The pilot loads 228 lbs of fuel (38 gallons × 6 lbs/gal), carries two passengers totaling 340 lbs, and stows 50 lbs of baggage. Gross weight = 1,680 + 228 + 340 + 50 = 2,298 lbs. The Cessna 172's MTOW is 2,550 lbs, so the aircraft is 252 lbs under the limit — legal to fly. Had baggage been 500 lbs, gross weight would be 2,748 lbs, exceeding MTOW by 198 lbs and requiring weight reduction before departure.

Frequently asked questions

What happens if an aircraft exceeds its maximum takeoff weight?

Exceeding MTOW compromises structural integrity, degrades climb performance, extends takeoff roll, increases stall speed, and reduces the aircraft's ability to handle emergencies. The airframe is not certified for loads beyond MTOW, meaning stress on wings, landing gear, and control surfaces may exceed design limits. In addition to the safety risk, operating overweight violates FAA regulations and can void the aircraft's airworthiness certificate and insurance coverage. Pilots must shed weight through reduced fuel load, fewer passengers, or less baggage before flight.

How is fuel weight calculated for aircraft weight and balance?

Aviation fuel weight depends on the fuel type and its density. 100LL avgas (used in piston aircraft) weighs approximately 6.0 lbs per gallon, while Jet-A (used in turbine aircraft) weighs approximately 6.7–6.8 lbs per gallon. To find fuel weight, multiply the number of gallons on board by the appropriate density figure. Some pilots use slightly conservative figures (e.g., 6.1 lbs/gal for avgas) to add a small safety margin. Always use actual fuel quantity from a calibrated fuel gauge or fuel slip rather than estimated values.

Why is center of gravity just as important as total aircraft weight?

An aircraft can be within its MTOW limit but still be dangerous to fly if the center of gravity falls outside the certified forward or aft limits. An aft-heavy CG makes the aircraft pitch-sensitive and can cause loss of control at low speeds; a forward-heavy CG requires more elevator back-pressure to maintain level flight and can prevent rotation on takeoff. CG is calculated using moments — each weight item multiplied by its arm (distance from the datum) — and the total moment divided by gross weight gives the CG location. Pilots must verify CG position on a loading chart before every flight.