Chapter 2,4 and 5

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What is the purpose of sizing in aircraft design?

To estimate the required total weight and fuel weight for the design mission

When might a conceptual sketch be necessary for initial sizing?

When the design is significantly different from previous aircraft

What is included in a 'first order' sizing layout?

A three-view drawing with internal design elements large enough to affect the shape of the aircraft

What is analyzed after the initial design layout in the sizing procedure?

Aerodynamics, weights, and propulsion characteristics

What is found by optimization in aircraft design?

The lightest or lowest-cost aircraft design

What parameter is estimated first in aircraft design?

$W_{aircraft}$ (Weight of an aircraft)

What is the purpose of estimating the empty weight fraction of an aircraft?

To account for advanced composite material aircraft

How is the weight fraction at the end of a mission calculated?

By multiplying weight fractions at each mission segment

What factor influences the wing efficiency of an aircraft?

Aspect ratio

What determines the most efficient loiter speed for a jet aircraft?

Speed for maximum lift-to-drag ratio

What method is used to estimate fuel fractions for an aircraft?

$\text{Simplified sizing method}$ and historical trends

What is the relationship between maximum lift-to-drag ratio and altitude/velocity?

Maximum lift-to-drag ratio varies with altitude and velocity.

What determines the most efficient cruise speed for a propeller aircraft?

Maximum lift-to-drag ratio speed

How are fuel and empty weight fractions expressed in relation to total weight?

As fractions of the total weight

What is used to estimate empty weight fraction?

Historical trends adjusted for advanced composite material aircraft

What influences the lift-to-drag ratio?

Aircraft configuration, wing span, and wing reference area

What determines fuel weight for an aircraft?

Type of aircraft, engine, and mission requirements

How is take-off gross weight calculated?

By adding the empty weight and the fuel weight

In the aircraft conceptual design, what is the recommended approach for engine sizing in terms of cost?

Designing with an existing engine in mind

What is the refined sizing equation for a rubber engine in the crude sizing calculations?

$W_0 = rac{T}{(C_L){max}} + rac{W{payload}}{g}$

How is the fuel weight for each mission segment calculated for a rubber engine?

$W_fi = W_{i-1} - W_i$

How is the total mission fuel for a rubber engine calculated, taking into account reserve fuel and trapped fuel?

$W_{total fuel} = 1.06 imes ( ext{total mission weight} - ext{reserve fuel})$

What is the historically good assumption for the weight fraction of the first mission segment (engine start, taxi, and takeoff) for a rubber engine?

$rac{W_1}{W_0} = 0.97 - 0$

How is the weight fraction at the end of a mission calculated for climbing and accelerating?

$W_1 = 1 - (1 - M)^3$

What equation is used to calculate weight fractions for jet aircraft and propellers during cruise flight?

$W_{\text{cruise}} = 1 - e^{-(R/C)}$

How are tail areas calculated?

Using fuselage length and tail volume coefficient

What problem may high-speed aircraft experience, leading to the use of additional inboard ailerons?

Aileron reversal

What determines the effectiveness of the tail in an aircraft?

Tail moment arm length

What parameter determines whether range or performance is a dependent parameter when the power supply is fixed?

Thrust-to-weight ratio

What determines whether performance must be dependent if range is a design parameter in aircraft design?

Specific fuel consumption

How can aileron area be estimated?

Based on wing span, wing mean chord, and figure on the left

Where do elevators and rudders typically extend to?

90% of tail span

What are primary control surfaces for roll, pitch, and yaw respectively?

Ailerons, elevators, rudders

What factor determines whether transport jets use additional inboard ailerons for high-speed control?

Thrust-to-weight ratio

Study Notes

  • The weight of an aircraft is determined during the design process, which can take years and resources.

  • For designing a fighter jet, consider an F-15 with a take-off gross weight of 44,500 lbs. For a mid-range airliner, consider Boeing 777 with a take-off gross weight of 545,000 lbs.

  • An estimate of the total weight involves dividing it into major weight groups: crew, payload, fuel, and empty weight.

  • Rearranging terms, the weight of fuel and empty weight can be expressed as fractions of the total weight.

  • To estimate empty weight fraction, use historical trends and adjust the statistical value for advanced composite material aircraft.

  • Fuel weight fraction cannot be estimated using historical trends, as an aircraft does not use all its fuel during the mission.

  • Fuel weight is dependent on the type of aircraft, engine, and mission requirements.

  • Mission profiles consist of several numbered segments, with vehicle weight changing at each segment.

  • Weight fraction at the end of the mission is calculated by multiplying weight fractions at each mission segment.

  • For calculating the weight fraction of a cruise segment, use the lift-to-drag ratio and specific fuel consumption.

  • Lift to drag ratio depends on the aircraft configuration and is influenced by wing span and wing reference area.

  • Wing efficiency is expressed using aspect ratio, which may affect the drag and lift of the wing.

  • Maximum lift-to-drag ratio varies with altitude and velocity.

  • For a jet aircraft, most efficient loiter speed is the speed for maximum lift-to-drag ratio, but most efficient cruise speed is the speed for 86.6% of maximum lift-to-drag ratio.

  • For a propeller aircraft, most efficient loiter speed and cruise speed have the same requirement of maximum lift-to-drag ratio.

  • Fuel fractions are estimated using historical trends and the simplified sizing method does not account for payload drops.

  • To calculate the take-off gross weight, an iterative process is used, starting with an initial guess, then calculating the fuel and empty weight fractions, and adjusting the initial guess accordingly.

  • The text outlines the process of designing an aircraft, specifically focusing on mission segment weight fractions, sizing, and engine considerations.

  • For climbing and accelerating, approximate weight fractions can be calculated using the given equation, where M is the ending Mach number and W1, W2, W3, and W4 are the weight fractions at different Mach numbers.

  • For cruise flight, the equation from lecture 2 is used to calculate weight fractions for jet aircraft and propellers.

  • During loiter, the equation is similar to that of climb conditions.

  • For specified-duration fuel burn segments (combat, aerobatics, etc.), the weight fractions are calculated based on time duration, thrust, and engine specific fuel consumption.

  • To size an aircraft, the design process begins with objectives and mission, followed by deciding on wing geometry and initial layout, and estimating thrust-to-weight ratio, wing loading, and using an engine specific fuel consumption to calculate mission segment weight fractions.

  • The takeoff gross weight is guessed, and the weight is calculated after each mission segment. The total fuel burned is added to the empty weight to calculate the new W0, and the process is iterated until convergence.

  • When the power supply is fixed, the designer must consider either range or performance as a dependent parameter.

  • If range is dependent, the performance capabilities can be calculated using the thrust-to-weight ratio and engine data.

  • If range is a design parameter, then performance must be dependent, and the fuel burned is calculated by specific fuel consumption times thrust times duration.

  • The fuselage length can be estimated based on the takeoff gross weight using a table.

  • The tail generates moments to overcome wing moments, and the effectiveness of the tail is related to the tail moment arm length times tail area, called tail volume coefficient.

  • Tail areas can be calculated using typical values for volume coefficients and their formulas, and tail arms can be estimated based on fuselage length.

  • The text mentions various tail designs and their effects on volume coefficients.

  • Primary control surfaces are ailerons for roll, elevators for pitch, and rudders for yaw.

  • Aileron area can be estimated based on wing span, wing mean chord, and the figure on the left, and ailerons extend from 50% to 90+% of span.

  • Other control surfaces such as flaps, spoilers, and elevators and rudders are also discussed, as well as their sizes and locations.

  • High-speed aircraft may experience a problem called aileron reversal, where the air loads on the aileron are so high that the wing itself is twisted, causing the aircraft to roll in the opposite direction.

  • To avoid aileron reversal, transport jets use additional inboard ailerons for high-speed control, and spoilers can also be used.

  • Elevators and rudders begin near the fuselage and extend to 90% of tail span, as shown in Table 6.

Learn about the process of sizing an aircraft from a conceptual sketch, including the estimation of total weight and fuel weight required for the design mission. Understand the significance of conceptual sketches for initial sizing when the design differs from previous aircraft.

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