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4.5 Civil Subsonic Jet Aircraft Statistics

105

aircraft cater to the shorter-range market sector – they provide better fuel economy than turbofans. The author considers that the future may show potential markets in the less affluent areas. Major countries with substantial population centers could fly more passengers within their borders, such as in China, India, Indonesia, Russia, and the United States.

The points in Figure 4.4 include the following aircraft: Lear 31A, Lear 45, Lear 60, Cessna 525A, Cess 650, Cess 500, Cess 550, Cess 560, Cess 560XL, ERJ 135ER, ERJ 140, ERJ 145ER, CRJ 100, CRJ 700, ERJ 170, DC-9-10, CRJ 900, ERJ 190, 737–100, 717–200, A318–100, A319–100, A320–100, Tu204, A321–100, 757–200, A310–200, 767–200, A330–200, L1011, A340–200, A300–600, A300–100, DC-10-10, MD11, 777–200, 747–100, A380, Short 330 and 360, ATR 42 and 72, Jetstream 31, Saab 340A, Dash 7 and 8, Jetstream 41, EMB 120, EMB 120ER, Dornier 328–100, and Q400.

Commercial aircraft operation is singularly dependent on revenue earned from fare-paying passengers and cargo. In the operating sector, load factor is defined as the ratio of occupied seats to available seats. Typically, for aircraft of medium sizes and larger, operational costs break even at approximately one-third full capacity (this varies among airlines; fuel costs at 2000 level with regular fares) – that is, a load factor of about 0.33. Of course, the empty seats could be filled with reduced fares, thereby contributing to the revenue earned.

It is appropriate here to introduce the definition of the dictating parameter, seatmile cost, which represents the unit of the aircraft DOC that determines airfare to meet operational costs and sustain profits. DOC is the total cost of operation for the mission sector (operational economics are discussed in detail in Chapter 16). The U.S. dollar is the international standard for aircraft cost estimation.

seat-mile cost =

DOC

 

 

= (cents/seat/nm) (4.1)

number of passengers

×

range in nm

 

 

 

 

The higher the denominator in Equation 4.1, the lower is the seat-mile cost (i.e., DOC). The seat-mile cost is the aircraft operating cost per passenger per nm of the mission sector. Therefore, the longer an aircraft flies and/or the more it carries, the lower the seat-mile cost becomes. Until the 1960s, passenger fares were fixed under government regulation. Since the 1970s, the fare structure has been deregulated – an airline can determine its own airfare and vary as the market demands.

A careful market study could fine-tune an already overcrowded marketplace for a mission profile that offers economic gains with better designs. Section 2.6 addresses the market study so that readers understand its importance.

4.5 Civil Subsonic Jet Aircraft Statistics (Sizing Parameters and Regression Analysis)

This section examines the statistics of current aircraft geometry and weight to identify aircraft sizing parameters. Regression analyses are carried out to demonstrate a pattern as proof of expectations. With available statistics, aircraft can be roughly sized to meet specifications. This is the starting point; Chapter 11 discusses formal sizing to finalizing aircraft configuration.

106

 

Aircraft Classification, Statistics, and Choices for Configuration

Around 1,500-nm range

 

 

 

Around 3,500-nm range

 

 

 

 

 

Around 2,500-nm range

 

 

 

 

 

 

 

Around 2,000-nm range

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Around 6,500-nm range

 

 

 

 

 

 

Around 8,000-nm range

 

50,000

100,000

150,000

200,000

100,000

200,000

300,000

400,000

500,000

600,000

Maximum Takeoff Mass (kg)

 

 

Maximum Takeoff Mass (kg)

 

 

(a) Lower capacity

 

 

 

(b) Higher capacity

 

 

Figure 4.5. Number of passengers versus MTOM

 

 

 

 

 

Definitions of various types of aircraft mass (i.e., weight) are provided in Chapter 8; some are required in this section, as follows (payload could be passengers and/or cargo):

MEM:

manufacturer’s empty mass – the finished aircraft mass rolls out from

 

the factory line

OEM:

operator’s empty mass = MEM + crew + consumable – it is now

 

ready for operation

MTOM:

maximum takeoff mass = OEM + payload + fuel – loaded to maxi-

 

mum design mass

MEM is the design outcome from catering to the MTOM, in which fuel load and payload are traded. The trade-off between payload (i.e., passenger) and fuel is at the operator’s discretion, who has the choice to trade between them (see Chapter 13). Keeping the MTOM invariant, the operator can offload some passengers to increase the fuel load to the extent that the tankage capacity would allow a farther flying distance. Conversely, fuel could be offloaded to a shorter range, allowing an increase in passengers to the extent the aircraft can accommodate. Mass per passenger is revised to 100 kg (220 lb) from the earlier value of 90 kg (200 lb), which includes baggage allowance; there could be additional cargo load.

4.5.1 Maximum Takeoff Mass versus Number of Passengers

Figure 4.5 describes the relationship between passenger capacity and MTOM, which also depends on the mission range for carrying more fuel for longer ranges. In conjunction with Figure 4.4, it shows that lower-capacity aircraft generally have lower ranges (Figure 4.5a) and higher-capacity aircraft are intended for higher ranges (Figure 4.5b). Understandably, at lower ranges, the effect of fuel mass on MTOM is not shown as strongly as for longer ranges that require large amounts of fuel. There is no evidence of the square-cube law, as discussed in Section 3.20.1. It is possible for the aircraft size to grow, provided the supporting infrastructure is sufficient.

4.5 Civil Subsonic Jet Aircraft Statistics

107

Table 4.1. Maximum takeoff mass per passenger

 

versus range

 

 

 

 

 

 

 

 

Range (nm)

MTOM/passenger (kg/PAX)

 

 

 

 

1,500

400

 

3,500

600

 

6,500

900

 

8,000

1,050

 

 

 

 

Figure 4.5 shows an excellent regression of the statistical data. It is unlikely that this trend will be much different in the near future. Considerable scientific breakthroughs will be required to move from the existing pattern to better values. Light but economically viable material, superior engine fuel economy, and miniaturization of systems architecture are some of the areas in which substantial weight reduction is possible.

In conjunction with Figure 4.4, it can be seen that longer-range aircraft generally have higher MTOM; estimates of MTOM per passenger are provided herein (Table 4.1). At the start of a conceptual study, the MTOM must be guessed – these statistics provide a reasonable estimate. Below 2,500 nm, the accuracy degenerates; the weight for in-between ranges is interpolated.

EXAMPLE: For a mission profile with 300 passengers and a 5,000-nm range, the MTOM is estimated at 750 × 300 = 225,000 kg (comparable to the Airbus 300–300).

4.5.2 Maximum Takeoff Mass versus Operational Empty Mass

Figure 4.6 provides crucial information to establish the relationship between the MTOM and the OEM. The important ratio of OEM to MTOM, known as the operational empty mass fraction (OEMF), is obtained by this graph.

Figure 4.6a shows the regression analysis of the MTOM versus the OEM for twenty-six turbofan aircraft, indicating a predictable OEM growth with MTOM almost linearly. At the lower end, aircraft with fewer than 70 passengers (i.e., Bizjet, utility, and regional jet class) have a higher OEMF (around 0.6 – sharply

Operating Empty Mass (kg)

300,000

250,000

200,000

150,000

100,000

50,000

0

0

100,000

200,000

300,000

400,000

500,000

600,000

Maximum Takeoff Mass (kg)

OEM/MTOM

OEM (kg)

60,000

55,000

50,000

45,000

40,000

35,000

30,000

25,000

20,000

40,000

60,000

80,000

100,000

 

Maximum Takeoff Weight (kg)

(a) All types of aircraft

(b) Midrange (Boeing and Airbus families)

Figure 4.6. OEM versus MTOM

108

Aircraft Classification, Statistics, and Choices for Configuration

FUEL MASS (kg)

300,000

 

 

 

 

 

0.6

 

 

 

 

 

 

0.55

250,000

 

 

 

 

 

0.5

 

 

 

 

 

 

0.45

200,000

 

 

 

 

 

0.4

 

 

 

 

 

 

0.35

150,000

 

 

 

 

 

0.3

 

 

 

 

 

 

0.25

100,000

 

 

 

 

 

0.2

 

 

 

 

 

 

0.15

50,000

 

 

 

 

 

0.1

 

 

 

 

 

 

0.05

0

100,000

200,000

300,000

400,000

500,000

0

0

600,000

MTOM (kg)

FUEL/MTOM

Figure 4.7. MTOM versus fuel load

decreasing). In the midrange (i.e., 70to 200-passenger class – single-aisle, narrowbody), the OEMF is around 0.56. At the higher end (i.e., more than 200 passengers – double-aisle, wide-body), it is leveling out at around 0.483; the MTOM is slightly more than twice the OEM. The decreasing trend of the weight fraction is due to better structural efficiencies achieved with larger geometries, the use of lighter material, and the more accurate design and manufacturing methods of more recent designs.

The OEM is a function of aircraft load experienced on both the ground and in the air, which depends on the MTOM. The load in the air is a result of aircraft speed–altitude capabilities, the maneuverability limit, and wind. A higher speed capability would increase the OEMF to retain structural integrity; however, the OEM would reflect the range capability for the design payload at the MTOM (see Figure 4.5). Payload and fuel load can be exchanged to reach the MTOM from the OEM.

Figure 4.6a is represented in higher resolution when it is plotted separately, as shown in Figure 4.6b for midrange-size aircraft. It also provides insight to the statistical relationship between the derivative aircraft of the Boeing 737 and Airbus 320 families. The approaches of the two companies are different. Boeing, which pioneered the idea, had to learn the approach to the family concept of design. The Boeing 737–100 was the baseline design, the smallest in the family. Its growth required corresponding growth in other aerostructures yet maintaining component commonality as much as possible. Conversely, Airbus learned from the Boeing experience: Their baseline aircraft was the A320, in the middle of the family. The elongated version became the A321 by plugging in constant cross-section fuselage sections in the front and aft of the wing, while retaining all other aerostructures. In the shortened versions, the A319 came before the even shorter A318, maintaining the philosophy of retaining component commonalities. The variants were not the optimized size, but they were substantially less costly, decreasing the DOC and providing a competitive edge.

4.5.3 Maximum Takeoff Mass versus Fuel Load

Figure 4.7 shows the relationship between fuel load, Mf, and the MTOM for twenty turbofan aircraft; this graph provides the fuel fraction, Mf/MTOM. It may be

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