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244

Aircraft Weight and Center of Gravity Estimation

Tricycle Type (Retractable) – Wing-Mounted (Nose and Main Gear

Estimated Together)

For a low-wing–mounted undercarriage:

MUC wing = 0.04 × MTOM

(8.36)

For a midwing-mounted undercarriage:

MUC wing = 0.042 × MTOM

(8.37)

For a high-wing–mounted undercarriage:

MUC wing = 0.044 × MTOM

(8.38)

Tricycle Type (Retractable) – Fuselage-Mounted (Nose and Main Gear Estimated Together)

These are typically high-wing aircraft. A fuselage-mounted undercarriage usually has shorter struts.

MUC fus = 0.04 × MTOM

(8.39)

For a fixed undercarriage, the mass is 10 to 15% lighter; for a tail-dragger, it is 20 to 25% lighter.

8.10.6 Miscellaneous Group – Civil Aircraft

Carefully examine which structural parts are omitted (e.g., delta fin). Use mass per unit area for a comparable structure (i.e., a lifting surface or a body of revolution; see Section 8.4). If any item does not fit into the standard groups listed herein, then it is included in this group. Typically, this is expressed as:

MMISC = 0 to 1% of the MTOM

(8.40)

8.10.7 Power Plant Group – Civil Aircraft

The power plant group consists of the components listed in this section. At the conceptual design stage, they are grouped together to obtain the power plant group mass. It is better to use the engine manufacturer’s weight data available in the public domain. However, given here are the semi-empirical relations to obtain the engine weight.

Turbofans

(1)Equipped dry-engine mass (ME)

(2)Thrust-reverser mass (MTR), if any – mostly installed on bigger engines

(3)Engine control system mass (MEC)

(4)Fuel system mass (MFS)

(5)Engine oil system mass (MOI)

Turboprops

(1)Equipped dry-engine mass (ME) – includes reduction gear mass to drive propeller

8.10 Semi-empirical Equation Method (Statistical)

245

(2)Propeller (MPR)

(3)Engine control system mass (MEC)

(4)Fuel system mass (MFS)

(5)Engine oil system mass (MOI)

Piston Engines

(1)Equipped dry-engine mass (ME) – includes reduction gear, if any

(2)Propeller mass (MPR)

(3)Engine control system mass (MEC)

(4)Fuel system mass (MFS)

(5)Engine oil system mass (MOI)

In addition, there could be a separate auxiliary power unit (APU) – generally in bigger aircraft – to supply electrical power driven by a gas turbine.

Engine manufacturers supply the equipped dry-engine mass (e.g., fuel pump and generator) and the engine thrust-to-weight ratio (T/Mdry engine; thrust is measured in Newtons) as a measure of dry-engine weight in terms of rated thrust (TSLS). Typically, T/Mdry engine varies between 4 and 8 (special-purpose engines can be more than 8). For turboprop engines, the mass is expressed as (SHP/Mdry engine); for piston engines, it is (HP/Mdry engine).

The remainder of the systems including the thrust reverser (for some turbofans), oil system, engine controls, and fuel system are listed here. The total power plant group mass can be expressed semi-empirically (because of the similarity in design, the relationship is fairly accurate). The power plant group mass depends on the size of the engine expressed by the following equations:

Turbofan

Civil aircraft power plant (with no thrust reverser):

MENG tf = 1.4 × MDRYENG per engine

(8.41)

Civil aircraft power plant (with thrust reverser):

MENG tf = 1.5 × MDRYENG per engine

(8.42)

Turboprop

Civil aircraft power plant:

MENG tp = ktp × MDRYENG per engine

(8.43)

where 1.4 ktp 1.5.

Piston Engine

Civil aircraft power plant:

MENG ps = kp × MDRYENG per engine

(8.44)

where 1.4 kp 1.5.

APU (if any)

MAPU = 0.001 to 0.005 × MDRYENG of an engine

(8.45)

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