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6.4.3 - 'CALCULATION OF LOADING CONDITION'.
5.
Add up the masses and moments in the respective columns. The CG position is calculated by dividing the total moment by the total mass (using row 8 for the condition with empty fuel tanks, and row 11 for the pre take-off condition). The resulting CG position must be inside the limits.
As an illustration the total mass and the CG position are entered on Diagram 6.4.4 -'PERMISSIBLE CENTER OF GRAVITY RANGE'. This checks graphically that the current configuration of the airplane is within the permissible range.
6.
Graphical method:
Diagram 6.4.2 - 'LOADING DIAGRAM' is used to determine the moments. The masses and moments for the individual items of loading are added. Then Diagram 6.4.5 -'PERMISSIBLE MOMENT RANGE' is used to check whether the total moment associated with the total mass is in the permissible range.
The result found with the graphical method is however inaccurate. In doubtful cases the result must be verified using the exact method given above.
Doc. No. 7.01.05-E Rev. 5 15-Nov-2007 Page 6 - 7
6.4.1 MOMENT ARMS
The most important lever arms aft of the Datum Plane:
Item Lever Arm
[m] [in]
Occupants on front seats 2.30 90.6
Occupants on rear seats 3.25 128.0
Fuel in main tanks 2.63 103.5
in auxiliary tanks 3.20 126.0
De-Icing Fluid (if equipmentinstalled, O.M 42-053 orO.M 42-054) 1.00 39.4
Baggage in Compartments nose 0.60 23.6
cabin 3.89 153.1
extension 4.54 178.7
Page 6 - 8 Rev. 5 15-Nov-2007 Doc. No. 7.01.05-E
DA 42 AFM
Mass and Balance
6.4.2 LOADING DIAGRAM
Doc. No. 7.01.05-E
Rev. 5 15-Nov-2007
Page 6 - 9
6.4.3 CALCULATION OF LOADING CONDITION NOTE
If the optional de-icing system (O.M 42-053 or O.M 42-054) is installed, the following must be observed: The consumption of fuel causes a forward movement of the CG. The consumption of de-icing fluid causes a rearward movement of the CG. Depending on the fuel flow and de-icing fluid flow, the overall movement of the CG can be a forward or a rearward movement. In order to cover all possible cases, the following table must be completed twice: with (as shown in the example) and without considering the on-board de-icing fluid. All four CG positions (fuel tank full/empty, de-icing fluid tank full/empty) must fall into the permitted area.
1.
Complete the form on the next page.
2.
Divide the total moments from rows 8 and 11 by the related total mass to obtain the CG positions.
In our example: empty tanks: 3625.1 kgm / 1527.5 kg = 2.373 m
314,656 in.lb / 3368 lb = 93.43 in
full tanks: 4312.1 kgm / 1770.5 kg = 2.436 m
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