Weight and Balance
Weight and balance
calculations purposes:
a) standard weights (mentioned in AHM 560 procedure):
• crew,
• passenger,
• catering.
b) actual weights:
• baggage,
• cargo,
• mail.
All weights applying in weight and balance calculations must be in kilograms (kg).
• Cabin crew: 75 kg
Crew weight includes cabin baggage.
Additional crew baggage carried in cargo compartments must be treated as
checked baggage.
Standard crew weights are not applied for crew positioning to/from duty not
directly involved in the operation of the flight, who are occupying passenger
seats (DHC – Dead Head Crew)
Male 84 kg 88 kg
Female 84 kg 70 kg
Child (between 2-12 years)
Infant under 2 years
a) Scheduled alternative standard weights to be used only in case of weight
and/or balance problems if the number of female is more than 23 % percent
of the total number of adult passengers.
In that case, the commander must be in formed by an appropriate remark in
the SI-part of the loadsheet.
b) Standard passenger weight includes:
⇒ cabin baggage,
⇒ any infant weight below 2 years of age carried by an adult on one
passenger seat.
Principles of Balance
speed as shown on the drawing below:
D Drag
L Lift
Q Weight
This case occurs when forces affecting an aircraft and moments from these forces are in balance that
means: Thrust equals Drag and Lift equals Weight.
Thrust equals Drag when an aircraft flies at constant speed:
T = D
In this situation two vertical forces remains to be taken into consideration: Lift and Weight.
Lift L is hung in the Centre of Lift and depends on value of a constant speed of an aircraft.
Weight Q is placed in the Centre of Gravity COG and depends on the loading of an aircraft.
The centre of gravity of a body is defined as the point at which its total weight may be considered
to act as a concentrated force.
These two points: Centre of Lift and Ce ntre of Gravity do not usually cover.
In this case a pair of forces is created and aircraft can tend nose down and up because of a moment which
occurs.
Moment equals force multiplied by arm, on which this force affects.
Moment = Force x Arm
To balance an aircraft, that means to eliminate the influence from above moment, additional force
coming from horizontal stabilizer Fн is created.
moments coming from these forces around a given point must equal zero, then the balance is maintained.
L + Q + Fн = 0 M(L) + M(Q) + M(Fн) = 0
A force coming from horizontal stabilizer Fн depends on an angle of swing of stabilizer.
This angle has limited range. That’s why moment coming from a pair of forces Lift L and Weight Q
must not exceed strictly defined value, limited by a moment obtained from a force coming from
horizontal stabilizer M(Fн).
Location of Centre of Gravity can be controlled by appropriate loading of an aircraft.
For each aircraft type therefore the manufacturer specifies a safe range of COG location and operator of
an aircraft must not exceed given limitations.
1. %MAC (Mean Aerodynamic Chord) – percent of Mean Aerodynamic Chord.
2. Index - unit without a term
The Aerodynamic Chord is the line linking a wing nose and a trailing edge.
rectangle shape having the same aerody namic characteristic as a real wing.
This reference line is used in the design of a wing and its position relative to the wing and the
fuselage is accurately known.
LEMAC - Horizontal distance in inches or mete rs from the station zero to location
of the Leading Edge of MAC.
The Safe Range of COG for an aircraft type, for characteristic aircraft weights,
is specified by the manufacturer and is ex pressed in terms of percentage of MAC.
Index expresses an influence of the component weight forces on change of COG position depending on
location of the forces relatively to Ref. Station.
Index – it is an equivalent of moment coming from the component weight forces relatively to their
positions to Ref. Station.
Depending on position of an loaded item on an aircraft re latively to Ref. Station, the value of arms are
following:
• the arms measured forward of Ref. Station are negative ( - )
• the arms measured aft of Ref. Station are positive ( + )
Therefore, each weight of an item loaded on an ai rcraft - relatively to its location - corresponds to
negative or positive index correction, which is a measure of an influence of the load on Centre of Gravity
location.
The conversion from index value to per cent of MAC is obtained from a graph.
The graph represents MAC grids in function of ai rcraft characteristic weight and index values.
⇒ design – determined by the manufacturer of an aircraft (does not depend
on operational conditions),
⇒ operational – reduced by the operator subject to conditions prevailing at
the airfield of departure or arrival.
• Design MLAW, similarly to design MTOW, may be reduced by the
operator subject because of operational conditions mentioned above.
• Only real MTOW and MLAW values, taking into consideration all
operational factors, are allowed to be used for weight and balance
calculations.
⇒ design – determined by the manufact urer of an aircraft (does not depend on operational conditions),
⇒ operational – reduced by the operato r subject to conditions prevailing
at the airfield of de parture or arrival .
• Actual MTOW is calculated accordingly to operational conditions of the
runway on the base of Airplane Flight Manual.
• Design MTOW may be reduced by:
a) runway characteristic:
⇒ length,
⇒ slope,
⇒ pavement,
⇒ elevation,
⇒ obstacles on the climb path.
b) weather conditions:
⇒ temperature,
⇒ precipitation,
⇒ wind component.
c) noise abatement rules.
• This weight results from the designed strength of the wings.
• The force Lift L -from the wings- acting upwards, together with the force
Weight Q of the loaded fuselage acting downwards in the centre, impose a bending moment on the wing.
moved, either using its engines or being pushed or towed.
• MTXW includes MTOW and Taxi Fuel.
unusable fuel and configuration equipment with galley structures.
• Basic Weight (BW) is published:
⇒ on sheet C3 of IATA AHM560,
⇒ in aircraft weighing report stored in cockpit documents.
⇒ Basic Weight (BW),
⇒ Crew weight,
⇒ crew baggage,
⇒ pantry weight,
DOW = BW + CREW + CREW BAG + PANTRY
Fuel ballast, if carried, should be included in DOW
⇒ passengers
⇒ baggage,
⇒ cargo including non-revenue load as: EIC, CSU, ballast carrying in holds, empty ULD weight,
⇒ non-revenue load as EIC, THS, ballast carrying in holds, ULD empty weight (treated as cargo)
TTL = PAX + BAG + CARGO + MAIL
COG LOCATION – UNITS SPECIFICATION
DOI DRY OPERATING INDEX - i ndex at Dry Operating Weight
DLI DEADLOAD INDEX - index at cargo compartment loaded
DLMAC DEADLOAD MAC - % MAC at cargo compartment loaded
LIZFW LOADED INDEX at ZERO FUEL WEIGHT - index at ZFW
MACZFW % MAC at ZERO FUEL WEIGHT - % MAC at ZFW
LITOW LOADED INDEX at TAKE OFF WEIGHT - index at TOW
MACTOW % MAC at TAKE OFF WEIGHT - % MAC at TOW
MACLAW % MAC at LANDING WEIGHT - % MAC at LAW