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080 Principles of Flight - 2014.pdf
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Chapter

14

Limitations

Operating Limit Speeds

 

 

459

Loads and Safety Factors

 

 

459

Loads on the Structure . . . . . . . . . . . . . . . .

. . . . . .

. . . .

. 459

Load Factor . . . . . . . . . . . . . . . . . . . .

. . . . . .

. . . .

. 460

The Manoeuvre Envelope (V - n Diagram) . . . . . . . .

. . . . . .

. . . . .

461

The CLMAX Boundary

 

 

461

Design Manoeuvring Speed, VA . . . . . . . . . . . .

. . . . . .

. . . .

. 462

Effect of Altitude on VA . . . . . . . . . . . . . . .

. . . . . .

. . . . .

463

Effect of Aircraft Weight on VA . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . .

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. 463

Design Cruising Speed VC . . . . . . . . . . . . . .

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464

Design Dive Speed VD . . . . . . . . . . . . . . . .

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. 464

Negative Load Factors . . . . . . . . . . . . . . . .

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. 464

The Negative Stall

 

 

465

Manoeuvre Boundaries

 

 

465

Operational Speed Limits

 

 

466

Gust Loads

 

 

467

Effect of a Vertical Gust on the Load Factor . . . . . . . .

. . . . . .

. . . .

. 468

Effect of the Gust on Stalling

 

 

469

Operational Rough-air Speed (VRA / MRA) . . . . . . . . .

. . . . . .

. . . . .

470

Landing Gear Speed Limitations

 

 

472

Flap Speed Limit

 

 

473

Aeroelasticity (Aeroelastic Coupling) . . . . . . . . . .

. . . . . .

. . . . .

474

Flutter . . . . . . . . . . . . . . . . . . . . . .

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. 477

Control Surface Flutter . . . . . . . . . . . . . . . .

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. 478

Aileron Reversal

 

 

480

Questions . . . . . . . . . . . . . . . . . . . .

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. . . . .

482

Answers . . . . . . . . . . . . . . . . . . . . .

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486

457

14 Limitations

Limitations 14

458

Limitations 14

Operating Limit Speeds

In service an aircraft must observe certain speed limitations. These may be maximum speeds or minimum speeds, but in each case they are set to give safe operation in the prevailing conditions. The limits may be set by various considerations, the main ones being:

strength of the aircraft structure.

stiffness of the aircraft structure.

adequate control of the aircraft.

Strength is the ability of the structure to withstand a load, and stiffness is the ability to withstand deformation.

Loads and Safety Factors

Limit load: The maximum load to be expected in service.

Ultimate load: The failing load of the structure.

Factor of safety: The ratio of ultimate load to limit load.

For aircraft structures the factor of safety is 1.5.

The safety factor on aircraft structures is much lower than the safety factors used in other forms of engineering because of the extreme importance of minimum weight in aircraft structures. To keep the weight as low as possible, the safety factor must be kept to a minimum. Because of this it is extremely important not to exceed the limitations set on the operation of the aircraft, as the safety margin can easily be exceeded and structural damage may occur.

Loads on the Structure

The airframe structure must obviously be strong enough to take the loads acting upon it in normal level flight, that is the forces due to lift, drag, thrust and weight. However, the aircraft is also required to manoeuvre and to fly in turbulent air. Under these conditions the loads on the aircraft will be increased, so it must also be strong enough to withstand whatever manoeuvres are specified for the aircraft and the gusts which are required to be considered.

The structure should also have sufficient stiffness to ensure that phenomena such as aileron reversal, flutter and divergence do not occur within the permitted speed range of the aircraft.

Limitations 14

459

14 Limitations

Load Factor

The loads which must be considered are given in the design requirements of an aircraft. They are given in terms of load factor (n), colloquially known as ‘g’.

Load Factor (n) =

Lift

Weight

In level flight, since lift equals weight, the load factor is 1.0 (1g). If the aircraft is performing a manoeuvre such that, for example, the lift is twice the weight, the load factor is 2.0 (2g).

The limit load is given in terms of load factor to make the requirement general to all aircraft. However, it should be appreciated that failure of the structure will occur at some particular applied load. For example, if the structure fails at 10 000 lb load, an aircraft weighing 4000 lb will reach this load at a load factor of 2.5. However, if the aircraft weighs 5000 lb, the failing load is reached at a load factor of 2.0, i.e. it takes less ‘g’ to overstress a heavy aircraft than a light one.

Limit load factors are based on the maximum weight of the aircraft.

 

3

POSITIVE

A

C

 

14

 

CLMAX

 

 

 

 

D

 

Limitations

2

 

 

 

1

S

 

 

 

 

 

 

 

E

SPEED

 

O

VS

 

(EAS)

 

 

 

 

 

 

 

 

 

 

1

H

 

F

 

 

 

 

 

NEGATIVE

CLMAX

 

VA

 

 

 

 

VC

 

 

 

 

 

 

 

 

 

 

VD

 

Figure 14.1 The manoeuvre envelope

460

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