Flight Performance and Planning — AeroplanesLektion 3 von 30
03/30Mass and balance

Key terms

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Mass terms

AbbreviationMeaningDescription
MTOM (MTOW)Maximum Take-Off MassLargest mass at take-off (per AFM)
MLMMaximum Landing MassLargest mass at landing; often < MTOM
MZFMMaximum Zero-Fuel MassLargest mass without usable fuel
MRM (MRW)Maximum Ramp MassMTOM + fuel burn during start/taxi
OEM / BEMOperating / Basic Empty MassEmpty mass: aircraft + non-consumable fluids + standard equipment
DOMDry Operating MassOEM + crew + service items (without payload/fuel)
Useful LoadNet useful margin= MTOM − OEM (max for pax + baggage + fuel)
PayloadPaying load= pax + baggage (or cargo)

Basic Empty Mass — complete components

The Basic Empty Mass (BEM) of an aircraft is defined under CS-23.25 and the EASA CRI (Certification Review Item) as the sum of the following components:

  1. Mass of the empty aircraft — airframe, wings, engine(s), standard equipment, avionics.
  2. Fixed ballast — permanently installed weights for CG trimming (on some types).
  3. Unusable fuel — the fuel residue in the tanks that cannot be burnt (e.g. sump fuel below the pickups).
  4. Undrainable oil — oil residue that cannot be removed via the drain valve (in lubrication circuits).
  5. Total quantity of engine coolant — for liquid-cooled engines (e.g. Rotax 912 with cooling system); on air-cooled engines (Continental, Lycoming O-series) this item is absent.
  6. Total quantity of hydraulic fluid — in brake, gear, and flap systems, depending on configuration.
  7. Built-in instruments and equipment — all fixed cockpit instruments, avionics, antennas, etc. The mass of built-in instruments is included in the empty mass.

NOT included: usable fuel, passengers, baggage, removable equipment (survival kit, personal items).

Determination: BEM is determined by actually weighing the aircraft — typically every 4 years and after major modifications. The result (BEM + corresponding CG position) is documented in the weight and balance report of the aircraft and entered into the AFM/POH section Mass and Balance.

CG terms

TermMeaning
DatumReference point set in AFM (often spinner nose or firewall) — all arms count from here
Arm / Balance ArmDistance from datum to the centre of mass of an item (positive aft). The "balance arm" of a mass is the distance from the datum to the CG of that mass.
MomentProduct of mass and balance arm — torque about the datum. In M&B context: Moment = Mass × Balance Arm.
CGΣ(moments) ÷ Σ(masses) — distance from datum to the resulting overall CG. Definition: the centre of gravity is the point at which the total mass of the aeroplane is considered to act.
CG EnvelopeDiagram in AFM: allowed CG range as a function of total mass
Forward LimitForwardmost permitted CG position
Aft LimitAftmost permitted CG position

Equilibrium conditions in flight

In unaccelerated steady flight the aerodynamic force balance holds:

  • Thrust = Drag — no longitudinal acceleration.
  • Lift = Weight (gravity) — no vertical acceleration.

In an M&B context: with the aircraft suspended on weighing scales, the aircraft is in static equilibrium — the sum of all masses (Σm) and sum of all moments (Σm·x) are the relevant quantities for CG calculation.

Notes

  • The DOM must be known before every flight — it is documented in the aircraft technical log and the weight-and-balance report.
  • On foreign flights or with other operators: use the same definitions — some AFMs use BEW (Basic Empty Weight) instead of OEM.
  • BEM components (especially unusable fuel, undrainable oil, fixed ballast) are to be taken from the AFM and not estimated by the pilot — they are uniquely defined and part of certification.

Weight and Balance / Equipment List* — type-dependent.*

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