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Mass and Balance

DA 42 NG AFM

 

 

6.4.3 CALCULATION OF LOADING CONDITION

NOTE

If the optional de-icing system (OÄM 42-053) 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:

3958.7 kgm / 1655.5 kg = 2.391 m

 

343,717 in.lb / 3651.0 lb = 94.14 in

full tanks:

4645.7 kgm / 1898.5 kg = 2.447 m

 

403,356 in.lb / 4187.0 lb = 96,335 in

3.Locate the values in the diagram in Section 6.4.4 - PERMISSIBLE CENTER OF

GRAVITY RANGE. If the CG positions and related masses fall into the permitted area, the loading condition is allowable.

Our example shows allowable loading conditions.

Page 6 - 10

Rev. 1

18-Feb-2009

Doc. No. 7.01.15-E

 

 

 

 

DA 42 NG AFM

Mass and Balance

 

 

 

 

 

 

 

DA 42 NG

Your DA 42 NG

 

CALCULATION OF

 

(Example)

 

 

 

 

 

 

LOADING CONDITION

Mass

Moment

Mass

 

Moment

 

 

[kg]

[kgm]

[kg]

 

[kgm]

 

 

 

 

 

 

 

 

 

 

 

[lb]

[in.lb]

[lb]

 

[in.lb]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1.

Empty mass (from Mass and

1450

3488.0

 

 

 

 

Balance Report)

 

3197

302,747

 

 

 

 

2.

Front seats

 

160

368.0

 

 

 

 

 

Lever arm: 2.30 m (90.6 in)

353

31,982

 

 

 

 

3.

Rear seats

 

0

0.0

 

 

 

 

 

Lever arm: 3.25 m (128.0 in)

0

0,0

 

 

 

 

4.

Nose baggage compt.

 

0

0.0

 

 

 

 

 

Lever arm: 0.60 m (23.6 in)

0

0,0

 

 

 

 

5.

Cabin baggage compt.

10

38.9

 

 

 

 

 

Lever arm: 3.89 m (153.1 in)

22

3,368

 

 

 

 

6.

Baggage extension

 

8

36.3

 

 

 

 

 

Lever arm: 4.54 m (178.7 in)

18

3,217

 

 

 

 

7.

De-Icing fluid (if installed; see

 

 

 

 

 

 

 

 

NOTE on previous page)

27.5

27.5

 

 

 

 

 

(1.1 kg/liter) (9.2 lb/US gal)

61

2,403

 

 

 

 

 

Lever arm: 1.00 m (39.4 in)

 

 

 

 

 

 

 

8.

Total mass & total moment

1655.5

3958.7

 

 

 

 

with empty fuel tanks

 

 

 

 

 

 

3651

343,717

 

 

 

 

 

(Total of 1.-7.)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

9.

Usable fuel, main tanks

159

418.2

 

 

 

 

 

(0.84 kg/liter) (7.01 lb/US gal)

 

 

 

 

 

351

36,329

 

 

 

 

 

Lever arm: 2.63 m (103.5 in)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10.

Usable fuel, auxiliary tanks (if

 

 

 

 

 

 

 

 

installed)

 

84

268.8

 

 

 

 

 

(0.84 kg/liter) (7.01 lb/US gal)

185

23,310

 

 

 

 

 

Lever arm: 3.20 m (126.0 in)

 

 

 

 

 

 

 

11. Total mass & total moment

1898.5

4645.7

 

 

 

 

with fuel & de-icing fluid

 

 

 

 

4187

403,356

 

 

 

 

 

(Total of 8. through 10.)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Doc. No. 7.01.15-E

 

Rev. 1

 

18-Feb-2009

 

 

Page 6 - 11

 

 

 

 

 

 

 

 

 

 

 

Mass and Balance

DA 42 NG AFM

 

 

The CG's shown in the following diagrams are those from the example in Section

6.4.3 - CALCULATION OF LOADING CONDITION, rows 8 and 11.

6.4.4 PERMISSIBLE CENTER OF GRAVITY RANGE

[ Fl lM ib ga] thss

[in]

98

 

 

 

 

 

 

 

 

2.50

 

 

 

 

 

 

 

 

 

 

 

Center of Gravity Position

94 95 96 97

 

 

 

 

 

 

 

 

2.40 2.45

Center of Gravity Position [m]

 

93

 

 

 

 

 

 

 

 

2.35

 

 

 

1900

1850

1800

1750

1700

1650

1600

1550

 

 

92

1500

 

 

 

 

FlightMass[kg]

 

 

 

 

Page 6 - 12

Rev. 1

18-Feb-2009

Doc. No. 7.01.15-E

 

 

 

 

DA 42 NG AFM

Mass and Balance

 

 

The flight CG position must be within the following limits:

Most forward flight CG:

2.357 m (92.80 in) aft of datum plane at 1510 kg (3329 lb)

2.418 m (95.20 in) aft of datum plane at max. take-off mass (see Section 2.7) linear variation in between

Most rearward flight CG:

2.460 m (96.85 in) aft of datum plane at 1510 kg (3329 lb)

2.480 m (97.64 in) aft of datum plane at 1700 kg (3748 lb)

2.480 m (97.64 in) aft of datum plane at max. take-off mass (see Section 2.7) linear variation in between

Doc. No. 7.01.15-E

Rev. 1

18-Feb-2009

Page 6 - 13

 

 

 

 

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