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1 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
AIRWORTHINESS: LOADS SPECIFICATIONS
Air Commodore(retd) S C Gupta
Professor & Head
Department of Aeronautical Engineering
M V J College of Engineering, Bangalore, India
Abstract- Specification of requirements are
intended to ensure the structural integrity
throughout the operational life of the aircraft.
Load Specifications, Repeated Load
Specifications and Specified Aeroelastic
Requirements are addressed herein. Loading
cases and load distributions are covered.
Introduction
The flight loading cases include
symmetric and asymmetric flight
maneuvers and atmospheric turbulence.
Symmetric flight cases are concerned
with the design requirements for the
strength of airframe when it is loaded in
the plane of symmetry. The greatest
loads arise while pulling from dive or
when in a turn maneuver. A steady
pitching velocity has to be considered at
all points on or within the flight
envelope. The pitching acceleration is to
be superimposed on the normal
acceleration. The tail areas of aircraft get
affected the most. The available pitch
authority needs to be considered for
realistic description, and control
criteria/control system demands can
complicate the specification requirement.
The conventional way to describe the
symmetric flight loading is to consider a
flight envelope of forward velocity and
normal acceleration. The speed when
taken as equivalent air speed makes such
a velocity versus load factor (V-n)
diagram independent of altitude effects.
The compressibility effects become
invisible and therefore Mach number and
altitude based envelope for normal
acceleration i.e. `g’ values become
important. The ultimate load factor i.e.
max n`g’ in certain extremely rare
circumstances may be exceed by
assuming that the probability of doing so
is less than extremely remote say 1 in
107.
The loading cases in the
asymmetric plane are concerned with
rolling, yawing, and side slip motion in
combination with symmetric loads. Roll
pull-out for various n`g’ values,
yawing/side slip, steady heading side
slip, engine failure cases and asymmetric
gust are considered under various loading
conditions. The aircraft response in an
asymmetric maneuver can get
complicated by the coupling which can
occur between all six degrees of freedom.
In case of roll around velocity axis,
resulting loads can be considered in
isolation from the yawing motion. Loads
arising out of rolling, yawing / side slip
maneuvers are explained herein. Fins
and rudder loads, and corresponding
lateral and yaw accelerations, side slip to
reach maximum ‘over-swing’ are
highlighted. Engine failure cases,
atmospheric turbulence and gusts are
explained. Differential tail plane loads
form part of asymmetric flight loads[1,8].
2 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
Ground loads are those occurring when
aircraft is in contact, or makes contact with
the ground. Aircraft configuration, high lift
devices and thrust reversal have bearing on
ground loads. Although the stipulations of
various design loads are expressed in terms
of the alighting gear units or their
components there is an implicit effect upon
the airframe as a whole. The energy
absorption characteristics are associated
with the vertical descent velocity of the
aircraft at landing impact. The aircraft
movement on ground forms part of ground
loads. Ramp mass, take-off mass, landing
mass and emergency landing mass are the
four conditions for design. Three point and
two point landing are further considered for
distribution of energy between nose and
main landing gear units depending upon the
attitude of aircraft at touch down.
Conventional landing is a two point landing.
Regardless of how many main gear units are
actually employed, an attitude where only
the main gear units initially touch down is
always referred to as a two point landing. A
three point landing is a hard landing since
attitude of aircraft is nearly level and thus
landing speeds are high.
The satisfactory behavior of an
aircraft under single occurrence of the
maximum design load may be ascertained
with an acceptable degree of accuracy,
however the design life of the airframe
should be established for fatigue loading.
The repeated load data is represented as load
spectra either in diagram or tabular form.
The spectra are in terms of a design
condition, such as maneuver acceleration or
gust velocity, which is reached or exceeded
in a given period, specified in terms of
number of flights, time or distance traveled.
Load spectrum can be regulated through
fatigue meters kept near center of gravity of
aircraft. Landing gear loads, unevenness of
ground surface, overload operating
conditions, hard landing conditions,
buffeting and noise are considered towards
repeated loads. Significant turbulence
occurs when one aircraft flies in the wake of
another, especially when flying for
considerable time during flight refueling.
All these aspects needs to be considered at
the design stage.
The significance of the structural
distortion of the airframe under the applied
loading is dealt through aeroelasticity.
Favorable wash-in effects are possible
through interior ply arrangements inside
wing for load alleviation. Interactions
between aerodynamic loads and stiffness, or
elasticity give rise to aeroelastic
requirements. Aeroelasticity covers all
interactions of aerodynamics, structure and
inertia including the impact of these
interactions on control and stability. The
structural deformations may be either static
or dynamic and hence it is necessary to
consider damping effects as well as the
stiffness contributions from the aerodynamic
and structure sources. Specified aeroelastic
requirements are addressed in this text. The
aeroelastic requirements specified in the
various airworthiness documents are stated
in terms of speeds below which catastrophic
events must not occur. These events include
flutter, loss of control, and aero-servo-elastic
instabilities. Torsional stiffness of wing is
the most used as a design requirement to
ensure adequate wing aeroelastic
performance.
Technical Specifications
The loads experienced by
aircraft fall into two broad categories,
Figure-1 to refer. Whether the loads are due
to maneuver or due to environmental effects,
3 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
for the purpose of structural design they
have been dealt in two ways. Firstly there is
the limit load condition. Secondly, there is
the load spectrum or the set of loads of
varying magnitudes experienced by the
airframe throughout its’ life. Limit load is
the actual maximum load of a particular case
anticipated to occur in the prescribed
operating envelope. It is the maximum load
for a particular maneuver or environmental
condition and represents the most severe
isolated intensity of a load case.
Conventional manned aerospace vehicle
structures are designed using the concept of
factors superimposed on the limit load.
First, there is a proof factor which is
numerical value of 1.125 for military and
1.0 for civil aircraft. Secondly, there is
ultimate factor of 1.5 for all types of aircraft.
Occurrences such as flying through severe
turbulence, heavy landing, cases of
emergency landing warrant inspection for
structural checks for ascertaining extent of
deformity; and the design must cater
inspection windows and possibility of
structural repairs/reinforcements. Ultimate
factor is effectively a safety factor on limit
load. The structure must be capable of
resisting the ultimate load, and the civil
requirements especially state that it must be
possible to withstand this load for three
seconds without collapse. For some specific
cases, higher ultimate factors are stated.
The layout of the design is kept in the
interest of keeping such factors least
applied. The application of proof and
ultimate factors cover the limit load
condition of a particular case. Other
measures are necessary to safeguard the
integrity of the structure when it is subjected
to repetitions of loads. The structure should
be designed to have an estimated life, or safe
life of three or more times that is actually
intended in service. This is demonstrated
through Full Scale Fatigue Tests (FSFT) for
the predicted loads. Predicted loads need
verification through strain gauging of the
prototype. Military combat aircraft are
designed using the safe life approach. The
number of landings, flying hours and the
calendar life form the criteria for structural
integrity. The fail safe concept is critical in
flight control system where electronic flight
control is essentially used for statically
unstable airframes. Complex sets of
requirements and objectives include
specifications of aircraft performance,
safety, reliability and maintainability, sub-
system properties and performance.
Alternatively, a probabilistic design
approach is seen to ensure the continued
integrity of the structure. The concept of
factors superimposed on a limit load are
replaced by a statistical demonstration of the
required failure probability. It is particularly
applicable in some circumstances, namely -
(1) when the experience lacks to especially
realistic factors, (2) when the randomness in
loading is high or material properties are a
variable, or (3) case of complex systems like
electronic flight control system.
Damage tolerance of structure is
intended for fail-safe operation i.e. to ensure
should serious fatigue, corrosion, or
accidental damage occur within the
operational life of the aircraft, the remaining
structure can withstand reasonable loads
without failure or excessive structural
deformation until the damage is detected.
The fail-safe evaluation should encompass
establishing the components which are to be
designed as damage-tolerant defining the
loading conditions and extent of damage,
conducting sufficient representative tests
and/or analysis to substantiate the design
objectives i.e. life-to-crack initiation, cracks
propagation rate and residual strength.
Design features for attaining damage
tolerant structure includes : (1) multiple
load-path construction and use of crack
4 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
stopper to control the rate of crack growth,
and to provide adequate residual strength,
(2) after initiation of cracks, provide a
controller slow rate of crack propagation
combined with high residual strength, (3)
detection of failure in any critical structure
element before the reserve factor (RF)
reduces to a value of unity, and (4) provision
to limit the concurrent multiple damage.
Safe-life strength evaluation method
intends to ensure that catastrophic fatigue
failure as a result of repeated loads does not
occur. Under these methods, loading spectra
should be established. The fatigue life of
the structure for the spectra should be
determined and a scatter factor should be
applied to the fatigue life to establish the
safe-life for the structure. The loading
theoretically estimated or established
through wind tunnel tests need to be
correlated with flight load through strain
survey. In the interpretation of fatigue life
analysis, the effect of variability should be
accounted for by an appropriate scatter
factor. Recorded load and stress data entails
instrument the aircraft in service to obtain a
representative sampling of actual loads and
stresses experienced.
Current Airworthiness Codes.
The civil aircraft requirements are
seen to have considerable commonality
between the European Joint Airworthiness
Authority (JAA) and equivalent FAA of US.
The specification requirements must be met
at each appropriate combination of weight
and center of gravity within the range of
loading conditions for which certification is
requested by tests upon the aircraft or by
calculations based on, and equal in accuracy
to the result of testing. Load distribution,
ranges of weights and center of gravity
within which the aircraft may be safely
operated must be established. If a weight
and center of gravity combination is
allowable only within certain load
distribution limits (such as spanwise) that
could be inadvertently exceeded, these limits
and the corresponding weight and center of
gravity combinations must be established.
Accelerations are experienced by
aircraft when it encounters variations in
conditions in the air such as changes in wind
direction, velocity and turbulence. Sudden
changes are known as discrete gusts and
velocity variations of over 20 m/s equivalent
air speed (VEAS) have been measured. The
design speed for the maximum gust intensity
affects the `-g’ boundary of flight envelope
the most. It may be chosen to provide an
optimum margin between the low and the
high speed buffet boundaries. JAR 25.335
provides the minimum gust speed based
upon the incremental load factor resulting
from the aircraft encountering a gust. The
definition of gust speed in Def. Stan.00-970
is somewhat similar but does depend on
whether the maximum Mach number in
horizontal flight is greater or lesser than
unity. For the Mach number less than unity
and if there is no weapon system, the gust
speed shall be either the speed determined
by the intersection of the line representing
the maximum lift coefficient and the
20m/sec gust line on V-n diagram or related
with the incremental load factor resulting
from gust. In case of weapon system
aircraft where maximum Mach number is
one or higher, the gust speed is determined
by mission requirements. The horizontal
and vertical tail surfaces and their
supporting structures must be designed to
the load conditions resulting from the
aircraft encountering the specified gust
velocities in direction at right angles to the
flight path. Due account must be taken of
the stability and control aspects considering
failure modes like trim runaway etc.
5 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
Flight loading cases. Steady pitching and
pitching acceleration cover the n`g’ loads.
The handling qualities of aircraft must be
demonstrated at all the corners of V-n
diagram. The specification of pitching
acceleration over and above the normal
acceleration depends upon control, inertia
and aerodynamic characteristics of the
aircraft. Figure 2 shows the combined pitch
and normal acceleration plots for a small
transport configuration. The loading in
asymmetric plane is due to rolling, yawing
and side slip motions. The combined
loading as a result of pitch and roll needs to
be established in the case of aircraft with
highly swept wings configurations. The roll
performance requirements are based on time
to change in bank angle, roll rate and roll-
mode time constant. In case of critical
engine in failed condition, civil requirements
specify that at low speeds with flaps in take-
off position and undercarriage retracted, it
must be possible to roll the aircraft to a
steady banked turn of specified value, both
with and against the failed engine. The
differential thrust takes away the rudder
travel availability. The loads on rudder to
hold straight and level flight condition
increase.
Roll performance requirements at
low speeds are to rapidly lift the wing during
landing approach in case of wing drop. Roll
pull out and wind-up turns involve
combined roll and pitch maneuver. Specific
loading conditions are prescribed when a
rolling maneuver is combined with a pitch
maneuver. The roll and pitch effects are
analyzed separately and symmetric pitch
part superimposed. The additional effect of
roll motivator is then added. Roll motivator
deflection requirements are speed dependent
e.g. at speed VD, the deflection requirement
is 1/3 of steady roll rate which occurs in
condition VA. The yaw control is considered
fixed at trim or deflected to avoid side slip.
The effect of flap to ease out maneuvers and
use of air brakes etc. are considered for
analysis. Roll motivator deflections are
specific e.g. a value of 0-0.67 n1g is taken
for transport aircraft.
Yaw motivator requirement are
determined by the performance requirements
i.e. steady heading in case of single engine
on a twin engine aircraft or critical engine
failure in four engine aircraft in the
presence of cross wind. Yaw
motivator requirement are determined by the
performance requirement for a case of
steady heading with single engine for a twin
engine aircraft, and for a critical engine
failure in a four engine aircraft with the
presence of cross wind. In case of two
engines failed on same side, the aircraft
should be able to maintain heading at lower
specified altitude with reduced power
settings. The rudder and elevon are
interconnected through a coupling in case of
fighter / attack airplane so as to limit the
over movement. There are other
considerations which may assist in
determining rudder deflection limitation
e.g., a) it must not be possible to stall the fin
dynamically as a consequence of rudder
application at all angles of attack. This is
crucial for entry into spin. As a thumb rule,
the fin dynamic stall angle shall be up to 1.5
times the static value. The strake vortices
created from sharp leading edge devices
help in delaying the rudder stall at high
angles of attack. Appropriate combinations
of normal accelerations with lateral and yaw
rates and accelerations are specified (Figue-
3 to refer).
Instantaneous rudder deflection for
`over swing’ angle case must be examined
for the resulting dynamic motion). The
value of max equal to 1.5 times the
resulting yaw () because of steady heading
side slip (SHSS) is normally considered.
6 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
This corresponds to maximum lateral
velocity. The doublet input to rudder
resulting in yaw oscillations shall be
examined. When the rudder is moved in
oscillatory fashion at the damped natural
frequency of the aircraft in yaw, the
resulting motion is a `fish-tail’ maneuver.
The resulting vertical fin loads will continue
to increase with time and it is necessary to
prescribe limit to motion. The limit is
normally taken as one-and-a-half cycle for
fighter / attack aircraft. Yaw motivator
induced lateral maneuver cases must be
analyzed. The deflections of the yaw
motivators are determined by several
considerations and the most-critical case is
worked out. Initial flight is considered to be
straight and level. The loading is to be
analyzed for all altitudes and for minimum
speed to design speed. The step and doublet
input to yaw control are considered. The
maximum permissible step input either as a
control limit or pedal force limit is injected.
For fighter / attack aircraft, yaw control is
moved sinusoidally at the natural damped
frequency of the aircraft in yaw. The
maximum rudder deflection is to be two-
thirds of maximum permitted throw and the
input is to consist of one-and-a-half cycles
of the pilot’s inceptor (i.e. left-central-right-
central-left-central). The rolling motion
caused by the yaw motivator must be
arrested if it is beyond a prescribed limit /
maximum dynamic side slip value. Any
pitching as a result of yaw control input,
must be stopped if it exceeded by ¼ `g’
increment. The sinusoidal rudder input
should be done at low angles-of-attack since
the resulting dutch motion can become
divergent spiral and uncontrollable at
medium and high angles-of-attack.
Horizontal stabilizer loading in yawed flight
needs to be analyzed. UK military
requirements suggest to consider Cmo
(i.e. `o’ lift pitching moment
coefficient) having increased by -.0015/
w.r.t. straight and level flight. In case of
multi-engined aircraft, the engine failure
could result in additional loads on control to
maintain heading since the loss of moment
arm could be significant. It is essential to
ensure that the loads resulting from the
failure of engine powers do not exceed
design loads of airframe / control column
limitation / adequate rudder power
availability to correct swing and maintain
straight path. In case of one engine failure,
it should be possible to maintain straight
flight through rudder trim setting. Trim-
runaway should be taken into account.
Gusts and atmospheric turbulence
have cumulative effect in affecting structural
life. Discrete gusts of 20m/sec are
considered towards influencing the lift
boundary. A 15.20 m/sec gust is considered
towards VH definition. The `-g’ boundary of
V-n diagram while flying with max
reheat power gets influenced by this
consideration. A slow down on transport
aircraft alone may result in a design
limitation in the presence of gust. In case of
class IV aircraft , diving speed boundary
gets affected by specified gust value of
7.60m/sec only. Gust asymmetry shall be
considered for transport aircraft. Lateral
gusts aligned between the vertical and
horizontal directions must be considered.
Continuous turbulence is modeled through
Power Spectral Density (PSD).
Load Specifications
For each of the conditions, it is
necessary to interpret the relevant flight
maneuver load cases. This can be best dealt
by considering firstly, the aircraft in
trimmed level of flight resulting in steady
flight loads and secondly, the increment in
loading as a consequent upon moving the
control input. The load specifications
towards maneuver, atmospheric disturbance
7 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
and the ground operation are explained
herein [1-2].
Maneuver Loads. There are three basic
ways of moving a control motivator, as
below :
a) Unchecked – Control is moved and held
at the new position. Such a movement is
required to overcome stability of vehicle.
b) Checked – Where the control is deflected
and brought to neutral position. Such a
movement is required for a case of neutrally
stable airframe.
c) Excitation – Where the control is moved
with a oscillatory input. Such a movement
input is required for case of tracking or in
case of formation flying.
The specification of pitching
acceleration is worked out for a maximum
deflection of pitch control while the aircraft
is in trimmed straight and steady level flight
at VA. For example, the prescribed
minimum design pitching acceleration for a
transport aircraft case as per JAR-25.331 is
as below :
(a) Nose up
..
= 39 nmax (nmax-1.5)/V
The loads arising from maximum
attainable elevator movement in a
unchecked maneuver must be analyzed. In
the case of step input to the control, one of
the design maximum occurs at the instant
the control is applied. This is because the
rate of application of control is significantly
greater than the response of the aircraft. The
initial maximum load will be experienced
early in the subsequent motion. Although
the unchecked mode of the pitch control
application has only to be applied at the
speed VA, a comparison of loads arising
with those in a checked maneuver shall be
made for certification purposes. Figure 4
shows nose-up pitch from level flight due to
elevator up step at VC of a transport aircraft.
Sinusoidal application of pitch control be
analyzed for varied phase differences from
un-damped natural frequency of short-period
modes. Current flight system of class IV
aircraft provide 6 dB gain and 135o phase
margin for the input-output response for
which the loads must be ascertained. Loads
on the horizontal stabilizer should be
examined for : a) The initiation of pitch
maneuver, and b) load arising due to local
angle of attack on stabilizer surface. The
chord-wise loading of these two cases is
different and consequently the torque
loading is very different. It may also be not
necessary that maxima of each effect are
coincident in terms of time. Loads on
leading edge and trailing edge surfaces be
analyzed for three conditions : a) angle of
attack, b) control surface deflection, c)
asymmetric effects such as rolling.
The yaw motivator loads are
considered from two inputs, (a) the step
input i.e. unchecked, and (b) the oscillatory
input. Loads arising out of maximum
in a steady heading side slip and the
design maximum total load on the vertical
surface is usually given by the over-swing
condition. Rudder input in a coning motion
can be a more severe case when used during
rolling motion. Pure rolling motion i.e. roll
around body axis generates maximum
tensile loads on wing mounts. The load
factor excursion is maximum. This flick roll
motion is usually a prohibitive one. It
generates higher vertical fin loads than those
produced on fin in SHSS. The magnitude of
lateral and yaw accelerations is needed in
order to evaluate the inertial relief effects in
the lateral motion. It is also desirable to
consider the lateral accelerations
experienced by the crew to ensure that these
are within tolerable limits. The air intake
performance under the flick roll and angle of
8 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
attack () combinations as well as roll and
- combination should be ascertained. It is
possible that there may be need to limit the
lateral acceleration for reasons of crew
tolerance or air intake gearing affected and
to provide a corresponding limit to the
allowable deflection of the yaw motivator at
higher speeds and hence a limit upon load.
The asymmetric horizontal stabilizer load
due to side slip is quite complex since it
depends upon the geometric and
aerodynamic details. MIL specifications
entails to consider that there is a lift
coefficient difference on the two halves of
the tail – plane of 1.0 or CLmax whichever is
lower. Differential tail plane for roll
compliance in fighter class of aircraft have
design specific differences on two halves of
tail plaine. Some load cases are graphically
shown in Figures 5-7 for a typical small
aircraft.
Loads due to Atmospheric Disturbances.
The structural loading arising as a
result of aircraft encountering gust and
turbulence is explained herein. The
dynamic response of the airframe in a
discrete gust encounter is an important
consideration as it can significantly increase
the structural stresses. While the gust is
considered as a column of air moving at
some speed, the continuous turbulence is
specified in terms of PSD. Alleviated sharp-
edged gust concept using a gradient distance
of 12.5 of mean aerodynamic chord (m.a.c.)
of wing formed the basis of discrete gust
load requirements for a considerable period
and is still being used as design criteria. The
alleviated factor is applied over the discrete
gust since the discrete gust so called `sharp-
edged’ gust is unrealistic as it does not
represent the boundary effect and its
application to the aircraft results in a higher
acceleration increment than would occur in a
practical situation. It was also realized that
the assumption of a single, typical, gradient
distance is an over-simplification and this
led to the `tuned’ gust concept, that is, one
where the gradient distance used is that
which gives highest acceleration increment
for a given design gust velocity. In practice
it has been found that the effect of variation
in the gradient-distance on the acceleration
increments is not large, but can have an
important impact upon the fatigue life
assessment. The corrected design velocity
of the elevated sharp-edge gust is FUde,
where F is the alleviating factor and Ude is
the design gust velocity considering (1-
Cosine) vertical gust, the heave effect is
worked out with allowance for following
two effects.
a) The lag in the build-up of lift
consequent upon an instantaneous
change of the angle of attack.
b) The lag due to the fact that the angle
of attack across the chord does not
change simultaneously, but gradually
as it progresses into the gust.
For a given aircraft both these effects are
a function only of the distance the wing
travels into the gust. While the alleviated
sharp-edge gust may only affect the heave
motion of the aircraft, the aircraft with
canard / foreplane controls shall experience
pitch up. The gust V-n diagram is worked
out by plotting the function (nG+1) against
the forward equivalent air speed. In case of
wings at low fuel weight, the gust load
effects are more severe since wing loading is
lower. It must be noted that the wing-body
load is (nG+1) mg so that a high value of nG
often associated with a low – wing loading
case may not actually give a critical load.
When the vehicle is subjected to
compressibility effect the nG is not directly
linear with forward air speed. At supersonic
speeds the reduction of lift curve slope with
increase in Mach number may cause a lower
nG, even though of the apparent direct
9 JEST-M, Vol 3, Issue 2, July-2014
S C Gupta
increase due to higher Mach number which
relates to high true and not VEAS.
Ground loads. The vertical sink
velocities effect the ground loads the most.
Aircraft movement on ground at maximum
`Ramp’ mass and the energy absorption as a
result of landing impact influence the energy
absorption characteristics of the under-
carriage. MIL-A-8862 supplemented by
MIL-L-8713 covers wide range of design
conditions and all possible configurations.
The three values of mass i.e. `Ramp mass’,
`Take-off mass’ and the `Landing mass’
influence the aircraft design mass
conditions. In case of flare at touch down,
only the main gears absorb the energy at
touch down. In case of `three point’
landing, the nose gear shares the energy
absorption. Since the actual energy
absorption requirement is vertical absorption
parallel to vertical plane of c.g., it is
convenient to describe the characteristic of
aircraft landing shock strut in terms of the
vertical load and vertical axle travel.
The energy to be absorbed on impact
is the sum of kinetic energy due to the
vertical velocity at the instant of impact and
the potential energy. The potential energy is
equal to the product of the weight and the
vertical displacement of the unit occurring
over the period of time from the instant of
impact to that when the shock absorber and
tyre have reached their maximum
deflections. Def. Stan. 00-970 specify that at
least 67% of the energy must be dissipated
in the initial closure and rest dealt with on
the first rebound. Vertical velocity during
landing should cover the limit as well as the
ultimate energy condition which is the take-
off mass. Neither the shock absorber nor the
tyre must reach maximum deflection under
the limit load or maximum reaction. One of
the two may reach maximum deflection in
the ultimate energy case. In many design
codes the application of an ultimate vertical
velocity is taken with a factor of 1.2 at the
landing mass condition. Since it is an
ultimate case the load is factored by unit, the
usual proof and ultimate factors do not
apply. MIL-A-8862 specifies alternatively
an overload landing case which is that at
mass of 1.15 times the design landing
condition associated with a vertical velocity
of 93% of corresponding design value. The
greater of these vertical loads are used as
datum values in specifying the overall
loading on main under carriage units in two-
point landing case. The main gears loads
are inevitably located aft of center of gravity
of aircraft, the consequence is a nose-down
pitching moment. This results in the
eventual impact of the nose-wheel so that
the unit absorbs some of the rotational
energy and a vertical load is developed. In a
three-point landing condition where the
nose-wheel contacts the ground at the same
time as the main wheels and the nose gear
unit absorbs a part of the vertical energy.
As the aircraft touches the ground
the main wheels must rapidly `spin-up’ to
the rotational speed equivalent to rolling at
the forward speed of aircraft. This results in
a horizontal friction force which coupled
with vertical reaction creates strong nose
pitch down moment. Vertical loads are
associated with drag loads and side loads as
well as. These are as below:
1 a) Landing with drag alone – Case
1(a).
b) Landing with drag and side load -
Civil requirements – Case 1(b)
c) Landing with drag and side load -
Military requirements – Case 1(c)
2. Side load case – Load Case (2)
3. High drag – Load Case (3)
4. One side landing – Load Case (4)
5. Rebound of un-sprung – Load Case
(5)
10 JEST-M, Vol 3, Issue 2, July-2014
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Load case (1a) is the basic case specification
of the combined drag load, and the side load
varies with different sets of requirements.
The combination of full resulting vertical
action and side load is not always required.
While Def. Stan.00-970 prescribes full value
of vertical reaction, other requirements are
seen to allow a lower value of 75%. Load
case (3) is for a spin-up loading condition
and spring back. The fore and aft force is
dependent upon the time it takes for the
wheel to `spin-up’, and the `spring-back’
effects from the strut. Bending strain energy
in the leg causes a forward springing of the
oleo, known as `spring-back’. The spring-
back loads are calculated for ground friction
coefficients of up to an average value of
0.55 at touch down speeds of at least 1.2
times the stalling speeds. One-side landing
may occur due to several reasons. The loads
in this case (No.4) are not normally a design
case for strut design but may be a critical
load case for airframe structure between the
main under carriage gear units. Main
landing gears can be arranged in such a way
that loads in an asymmetric landing are
shelved and are not higher then the
symmetric case. Load case (No.5) is for the
rebound of un-sprung parts. Attachment of
the un-sprung mass (i.e. wheel, axle, and
lower part of the shock absorber
mechanism) should be designed to withstand
a limit load factor of 20 along the axle of
oleo. Load cases resulting from ground
maneuver conditions (braking, reverse
braking, turning, pivoting, towing),
operation of uneven surfaces / unpaved,
partially graded surfaces must be taken into
account.
Phenomenon known as `wheel barrowing’
may occur if nose wheel is touched firmly
before other wheels touch the runaway.
‘Wheel barrowing’ may be described as an
attitude or condition in tricycle gear
equipped aircraft that is encountered after
initial ground contact during landing rollout,
wherein the main wheels are lightly loaded
or clear of the runway. However, the nose
wheel is firmly in contact with the runway
thus causing the nose gear support a greater
than normal percentage of aircraft weight
while providing the only means of steering.
In a crosswind, the airplane in this situation
tends to pivot rapidly about the nose wheel,
in a maneuver very similar to a ground loop
in a tail wheel type aeroplane. Other
indications of `wheel barrowing’ are wheel
skipping and/or extreme loss of braking
effect when the brakes are applied.
Normally, `wheel barrowing’ may be
encountered if the pilot is utilizing excess
approach speed in a full flap configuration
that results in the aircraft touching down
with little or no rotation. After this touch
down, the pilot may then try to hold the
aircraft on the ground with forward pressure
on the control wheel. Under these
conditions, braking and steering capability is
severely diminished and `wheel barrowing’
is likely to result. `Wheel barrowing’
accidents have occurred during crosswind
landings made by pilots flying aircraft
equipped with stabilizer type elevators and
nose wheel/rudder steering, and utilizing the
`slip’ technique for crosswind correction.
On most general aviation aircraft, the nose
wheel steers when rudder is applied and, for
this reason, such landings require careful
rudder operation just prior to and during
touch down. The `slip’ method of drift
correction is favored by the majority of
pilots as it accomplishes the desired results
without presenting the need for a last minute
directional correction prior to touch down.
A corrective action must be based on a
number of factors, i.e. degree of
development of the wheel barrowing, pilot
proficiency, remaining runway length and
aircraft performance versus aircraft
configuration. Only after considering at
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least these factors, the pilot should initiate
corrective measures.
Specification of Repeated Loading
Individual loadings on airframe
cause `fatigue damage’ over the period of
time and collectively determine the life of
airframe. Load spectrum should be based on
measured statistical data of the type derived
from load history studies and where data is
insufficient, conservative estimate of the
anticipated use of aircraft be made. The
structural damage caused by a given
increment in load is not only a function of
its magnitude but depends also upon such
factors as the initial condition to which the
load increment is added. Loading on
individual airframe components, air-load
distributions, specification and analysis of
repeated loading are explained below.
Loading on Airframe Components.
During its specified life any aircraft
structure or system is subjected to a history
of load fluctuations which occur during the
various ground and flight operations. The
loads comprise of flight loads (Maneuver
and gust), ground loads (taxing, landing,
impact, turning, engine run-up, breaking and
towing), and pressurization loads. Loading
history for each phase of operations is then
reduced in to individual cycles. These loads
are either concentrated or distributed
depending upon the structural arrangements
e.g. the longitudinal acceleration / breaking
do not cause a significant overall loading of
the airframe but affect the local components
i.e. the attachment of point loads. Most
severe case of deceleration condition occurs
with negative thrust through thrust reversals
with emergency breaking. These are limited
to not more than 0.65 `g’. More severe
loading cases occur when the aircraft is
required to operate under assisted take-off
and arrested landing conditions. Typical
arrester gear deceleration are of the order of
4`g’ to 6 `g’. Considering proof and
ultimate factors, the fatigue load test value
could be around 10 `g’. Loads arising as a
result of abrupt control inputs needs to be
ascertained. For example, in the case of
civil transport aircraft abrupt pitching
maneuvers when applied to structural load
analysis are maneuvers involving a single
rapid application of the elevator in a
prescribed manner. Generally, two types of
abrupt pitching maneuvers need to be
considered: a) abrupt unchecked elevator
maneuver at VA speed, and 2) elevator
checked maneuvers at VA and VD speeds. In
the first case the elevator is suddenly moved
to obtain extreme positive pitching
acceleration (nose-up). Transient rigid-body
response of the aircraft must be taken into
account in determining the tail load.
Aircraft loads that occur after normal
acceleration at center of gravity exceeding
the maximum positive limit maneuvering
load factor need not be considered. In case
of checked maneuver, rational pitching
control motion versus time profile must be
established in which the design limit load
factor will not be exceeding. As per JAR
25.331 (c) (2), checked pitch maneuver must
be analyzed for nose-up conditions to the
maximum design limit load factor and for
nose-down conditions to a load factor of
zero. In case of checked maneuver, while
flying in steady flight condition at any speed
between VA & VD, the pitch control is
moved rapidly in sinusoidal motion before
return to trim. Military specifications
require a trapezoidal shaped elevator input
that is checked back to neutral for conditions
with free stream center of gravity and
beyond neutral (or the trim point) to 50% of
the original input elevator.
The rolling maneuvers are
considered with specified entry normal
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accelerations to cover the roll pull outs in
case of class IV aircraft. In case of yaw, two
types of yaw maneuvers are considered for
design : i) Max rudder in level flight SHSS,
and (ii) engine out condition, whereby
abrupt application of the rudder is made in
conjunction with the resulting side slip due
to unsymmetrical engine thrust. The
military criteria for rudder maneuver
requirements for transport aircraft are
different than that of civil aircraft, in that,
that basic maneuver conditions are the same,
but the definition of the available rudder is
different for the over yaw and steady side
slip condition.
The loading on lifting surface is
distributed type. The design condition for
wing derives from the superimposed upon
the loading in the trimmed conditions. The
loads due to symmetric and rolling
maneuver as well as from high lift devices
and lift spoilers / dive brakes and control
surface movement form part of the load
distribution. Specific loading conditions are
prescribed when rolling maneuver is
combined with a pitch maneuver e.g. roll
pull-out entry normal acceleration. The two
effects are generally analyzed separately and
the results superimposed in appropriate
proportions. Roll results in side-load on
vertical fin. Side load is applied
independently of other conditions and must
not be less than a load factor of 1.33 or 0.33
n1, whichever is a higher value. Vertical
stabilizer gets maximum loading in a steady
heading side slip motion. Air turbulence
forms distributed loading on lifting
platforms and vertical fins. In case of some
military transport aircraft, the pressurized
compartment may be limited to the region of
crew occupancy only. In case of cabin
pressurization, two standards of cabin
pressurization are laid down i.e. low
differential and high differential pressure. In
case of low differential pressure, maximum
cabin altitude of 6.7 km is allowed and in
the case of high differential pressure,
maximum cabin altitude allowed is 2.5 km.
While testing the cabin for fatigue the
working differential pressure should be at
least 1.5 times the specification value and
aircraft speed is to be the design speed.
The loads coming on power plant
mount are following :
i) Thrust (forward and reverse)
ii) Engine torque (including seizure
case)
iii) Gyroscopic couples due to the
angular motion of aircraft
iv) Inertial forces (linear & angular
accelerations)
v) Air loads on nacelles, slip stream
effects
vi) Thermal effects
Small aircraft gyroscopic couples
load requirement must be considered with
symmetric and asymmetric maneuvers and
gust cases. Design specifications include
aircraft rotation rates and accelerations in
addition to the usual maneuver and gust
cases. These include all possible following
combinations ( e.g. case of non-aerobatic
category as per JAR 23.371):
i) Yaw rate of 2.5 rad/sec
ii) Pitch rate of 1.0 rad/sec
iii) Normal load factor 2.5
iv) Max continuous thrust
Unbalanced aerodynamic moments
about the center of gravity must be reacted in
a rational or conservative manner. Dutch
excitation with rudder doublet application is
typically shown in Figure-7 for a case of
class-II aircraft. The civil requirements
specify accelerations to be assumed parallel
to the hinge-lines of auxiliary surfaces for the
purpose of designing the hinge brackets. For
vertical surface the acceleration is 24 `g’ and
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for horizontal surface the acceleration is 12
`g’ (JAR 25.393 to refer).
Air-load Distribution. Overall air load on
the various airframe components of the
aircraft result in stressing information. The
torque on a chord wise section is the moment
of the chord wise air load about a reference
point. Care must be taken to distinguish the
total pitching moment due to chord wise
loading consequent upon the deflection of
the flap and flap hinge moment. Loads need
to be distributed across the relevant
components.
Vortex shedding from the fuselage at
high angles of attack influence the loading on
lifting surfaces and vertical fin. The high
angles of attack conditions essentially occur
at subsonic flows. Experiments on inclined
bodies of revolution at supersonic speeds
have shown that a pair of vortices do form
for all but very small incidences. These
vortices separate from the upper surface and
follow on approximately free stream
direction in a similar manner to the trailing
vortices of a wing. The drag associated with
this cross flow velocity is effectively
equivalent to the normal force on the body
i.e. (V2
).
The effect of fuselage on a wing and
that of wing on body results from
interference velocity potential (i). Elliptic
horizontal body shapes have favorable
interference effects as compared to any other
form. The effect of body on wing is due to
two factors. Firstly, at the wing body
junction the body usually has a relatively
thick boundary layer and this has the effect
of reducing the pressure changes on the wing
so that the resulting loading at the root of the
wing gets reduced. The second effect is that
the body usually induces up wash field over
the wing causing an increase in normal force.
The region of the interference of the wing on
body is governed by the transonic area rule.
At the supersonic speeds, it is marked by
tracing the helices made by the Mach lines
from the wing root chord on the body. In
ideal flow, the chord wise pressure
distribution at the root of the wing is
transmitted to the body in the region aft of
the position of the helices from the root
leading edge and decreases in magnitude
with the distance aft from the root chord.
The effect of the body boundary layer is to
smooth this effect, especially at some
distance from the root, but the distribution of
the load is essentially similar for cases where
there is no marked separation over the body
in the region of the wing.
The effects of repeated loading and
environmental exposure on stiffness, mass
and damping properties should be covered
for verification of integrity against flutter
and other aeroelastic mechanism. Combined
load cases from each category are worked
out though in any given category each load
being lower in magnitude than the
corresponding limit deign case. These loads
individually cause `fatigue damage’ and
hence collectively determine the airframe
life. The structural damage caused by a
given increment in load is not only a
function of its magnitude but depends also
upon such factors as the previous loading
history and the initial conditions to which
the load increment is added. The
specification requirements are specified to
ensure the integrity of airframes during
service life and demonstrated under fatigue
loading by analysis and satisfactory
demonstration and in-flight measurements of
loads. The magnitude and frequencies of
combined loading and number of
occurrences as well as that of individual
loading occurrences is taken into account.
There is some commonality in the design
process for the safe life and fail-safe
concepts i.e. the crack initiation as well as
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the crack growth are key factors in both the
cases. The fail-safe design has an
alternative load path. In case of safe life
concept the life is inclusive of an
appropriate load factor.
Fatigue (safe-life) evaluation
involves in estimating or measuring the
expected loading spectra for the structure,
fatigue testing of structure, providing data
for inspection and maintenance instruction.
In addition, fatigue initiation from sources
such as corrosion, stress corrosion, dis-
bonding, accidental damage and
manufacturing defects should be covered
based on experience / expertise. In the
interpretation of fatigue analysis and test
data, the effect of variability should be taken
into account by an appropriate scatter factor.
Loads for fatigue testing should be verified
through in-flight measurements. Recorded
load and stress entails instrumentation of
aircraft to obtain representative sampling of
actual loads and stress experienced.
Repeated load tests of replaced parts can be
utilized to re-evaluate the established safe-
life. This data is also useful for life
extension program through rework.
In order to establish the total
technical life of airframe, it is essential to
consider all possible loading combinations,
frequencies of occurrences and magnitudes.
The subject is covered in JAR 25.571, Def.
Stan. 00-970 Chapter 201 and MIL-A-
8866A. MIL-A-8867 prescribes the ground
test requirements for assessment of airframe
life. The combined loading cases in a given
category can be represented on a stress (S)
and N (repetition of a stress). Such a S-N
curve for a given airframe component must
be established against a load spectrum. The
load data is to be presented as load spectra
either in diagram or tabular form. The
spectra are in term of a design condition
such as a maneuver acceleration value or
gust value i.e. reached or exceeded in a
given period, specified in number of flights,
time or distance traveled. Figure 8
typically shows `g’ versus occurrences/ hr of
flight. The frequency of a given maneuver
level may be obtained by tabulating the
frequency of each exceedance and
successively subtracting from the highest to
the lowest. MIL-A-8866A gives this data
for various class of aircraft. Fatigue loading
data for asymmetric loads is sparse. The roll
and yaw control movements generated loads
are based on analytically estimated and
verified from flight data. For the case of
civil transport aircraft, atmospheric
turbulence are of large importance. Use of
an appropriate gust analysis along with
knowledge of aircraft speed and altitude
enables such information to be converted
into a normal acceleration spectrum based
on hours flown. The frequency and
magnitude of lateral turbulence is
considered slightly higher than vertical gusts
for altitudes below 3 km. Buffeting, noise
turbulence and engine wind milling are
some more types of repeated loads.
Extent of specification for fatigue testing
involves in as to how much of aircraft need
to be included in full-scale fatigue specimen.
It requires evidence on several fatigue test
defects and study on their locations and
types. The general structural definition
comprising of major components includes
cut outs, ailerons and flap attachment or
wing / body attachment region. The defects
can be split into three categories, namely : a)
these could have been represented by a
simple fatigue test involving only the
component with straight forward and fittings
in a standard fatigue machine, b) these could
have been represented in the laboratory by a
special rig but probably loaded by a standard
fatigue test pulsator ; within the rig it is
expected that some local structure need to be
represented such as a spar web with local
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skin and booms with loading applied
possibility in more than one direction, c) the
only way to detail testing this would be to
load representative a complete section of
structure (e.g. wing box spar or fuselage
section). Another question arises as to how
long one should continue with a full-scale
fatigue test especially in the event of failure
taking place and subsequent to structural
rework. Figure 9 shows for the four different
aircraft the percentage of total test defects
versus times the design target life. In setting
up a full-scale fatigue test, the time taken is
important from a phasing aspect both in
relation to certificate of airworthiness and to
production rates. If one decides to build an
aircraft and carryout no fatigue testing
whatsoever it is considered that the stress
levels for design would have to be reduced
for airworthiness reasons. The fatigue
sensitive structural weight would be
increased by 20% to double the calculated
life which is the margin usually demanded in
the absence of testing. Increased
maintenance and inspection would be
necessary if such penalty is kept low. In
addition, life extension programme involves
additional fatigue testing at the end of given
life by airworthiness authorities.
Manufacturers consider design criteria by
which the safety objectives are achieved
thereby, scope exists for extension of life.
Accumulation of operational experience and
fatigue and fail-safe testing together with
new tools in the form of probability analysis
and subsequent capability and safety
analyses have put the picture in the
perspective. The purpose of fatigue
investigation is to minimize the rate of
structural fatigue failures in services and to
establish suitable inspection and maintenance
procedures. Fatigue investigation can not
100% define, a structure which will be free
of failures for some predetermined time
period. The design of relatively flexible
structure, especially on large aircraft,
requires earlier and better recognition of its
dynamic response to rapidly applied loads
during turbulence and maneuvers.
Aeroelastic Specification
Distortion of the airframe under the
loading conditions should not affect the
performance. The stiffness of structure
should be sufficient so as to ensure that the
airframe will not become structurally
unstable under aerodynamic loading.
Interactions between aerodynamic loads and
the stiffness, or elasticity of the structure
give rise to aeroelastic requirements.
Aeroelasticity covers all interactions of
aerodynamics, structure and inertia
including the impact of these interactions on
control and stability. The structural
deformations may be either static or
dynamic and hence it is necessary to
consider damping effects as well as the
stiffness contributions from the
aerodynamics and structural sources. The
dynamic response of a structure is important
in two main areas : a) the dynamic stress
factors which may occur when loads are
applied rapidly, b) the more general
interaction with aerodynamic forces with the
possibility of the occurrence of flutter.
Dynamic response is more complex then the
static distortion. The aeroelastic
requirements specified in the various
airworthiness documents are stated in terms
of speed below which catastrophic events
must not occur. These events include
flutter, loss of control, and aero-servo-
elastic-instability. The speeds are quoted in
terms of design speeds (VD) and vary from
1.15 x VD for Military aircraft and at least
1.25xVD for Civil aircraft. Some reduction
of the margin over the design speed may be
possible when an active control system is
used for flutter suppression.
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Structural distortion can result in a
reduction of the effectiveness of controls to
the extent that in some cases the forces and
moments consequent upon the deflection of
a control motivator are opposite in direction
to that signaled. This can happen due to
extreme aileron requirement where
aerodynamic and structural effects exactly
cancel. This may be overcome by the use of
all-moving differential tail plane where pitch
and roll effects are together obtainable from
tail plane. The spoiler action through wing
mounted surfaces assist roll at lower speeds
in such designs. Another form of static
aeroelasticity is wing torsional divergence
also known as Mach divergence. This can
occur when the twisting of the lifting surface
results in a change in angle of attack of the
local aerofoil to the extent that the further
induced twisting moment progresses to
structural failure. The speed at which
divergence occurs is proportional to the
square root of the torsional stiffness of the
wing. The most significant parameter is the
location of the local center of pressure
relative to the axis of twist of the structure
(the aerodynamic torsional moment being a
function of dynamic pressure). Torsional
stiffness is the main parameter.
Flutter is oscillatory motion
occurring either on main lifting surface or
on control surface. Main lifting surface
flutter arises primarily from a combination
of dynamic flexural and torsional distortions
of the surface but can also involve body
freedoms and other interactions such as
servo controls. Critical speed of flutter is
primarily dependent upon the frequency of
the fundamental torsional vibration mode of
the surface. Torsional stiffness plays a large
part in determining this but it is also
dependent upon inertia effects, especially
those of large concentrated masses.
Flexure-torsion flutter together can occur
especially on a high tail surface. Control
surface flutter arises as a consequence of the
deflection of a control surface interacting
with the distortions of the lifting surface
where it is mounted. Mass balancing
overcomes flutter at subsonic speeds. The
mass balance requirements for all controls
are that at the neutral point position and at
10o deflection, the product of inertia for the
complete control shall be zero. In addition
the center of gravity must fall within 0.5 Cf
of the hinge line under the most adverse
position where Cf is the mean chord behind
the hinge line of the control surface. When
the mass balance is less, the center of
gravity should always be on, or forward of
the hinge-line. Concentrated mass balance
should not coincide with the nodal line of a
critical structural mode. Location of mass
balance on control linkage and levers is
avoided. At higher compressible speeds,
mass balancing problem becomes difficult
due to increased negative damping. Mass
balance weights should be tested to
substantial dynamic loading and for the
following ultimate attachment strength
conditions:
+1.5 n1g, normal -0.75 n1g,
normal
5.0g laterally 10.0g fore &
aft
Angular acceleration 500 rad/sec2
(about control hinge line)
The backlash in control surface and
systems should be as small as possible. As a
guide the tolerable value range from no
more than .0005 radians for surfaces on
inherently unstable aircraft up to .02 radians
for high lift devices for normal trailing edge
controls at 0.002 radians. Spanwise
distortion of the control surface relative to
the wing, due to air-loads on both the wing
and the control must not be too larger that
physical interference may result. As a guide
the maximum vertical deflection of the
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control relative to the main surface should
not exceed 0.02d, where d is the local
(thickness) of the control surface.
Three general areas make up the field of
aero elasticity testing of scaled models. The
first is where there is no air stream i.e., static
testing to find the stiffness distribution &
vibration testing to find natural frequencies
& mode shapes. The other two areas require
the presence of airstream. Test in second
area involve `steady-state` aeroelastic
phenomenon such as control effectiveness,
whereas third test area includes only
`unsteady` phenomenon such as flutter and
dynamic stability
References
1, Denis Howe, `Aircraft Loading and
Structural layout’, AIAA Educational Series
2004.
2. Howe, D. `Aircraft Conceptual
Design Synthesis’, Professional Engineering
Publication Ltd., 2000.
3. Anon., `Part 23, Airworthiness
Standards: Normal Utility, Acrobatics and
Computer Category Airplanes, `Federal
Aviation Regulations, U.S. Government
Printing Office, Washington, DC, Feb. 1991.
4. Anon., `Part 25, Airworthiness
Standards : Transport Category Airplanes,
`Federal Aviation Regulations’, U.S.
Government Printing Office, Washington,
DC, Feb. 1991.
5. Lloyd R. Jenkinson, Paul Simpkin &
Darren Rhodes, `Civil Jet Aircraft Design’ :
AIAA Education Series, 1999.
8. Daniel, P. Raymer, `Aircraft Design :
A Conceptual Approach’, AIAA Education
Series, 1992.
6. Darrol Stinton, `Flying Qualities &
Flight Testing of the Aeroplane’, (c) 1996
Blackwell Science Ltd.
7. Ted L. Lomax, `Structural Loads
Analysis for Commercial Transport Aircraft:
Theory & Practice’, AIAA Education Series,
1996.
8. Schuster, D.M., Liu, D.D., and
Huttsell, L.J., ‘Computational Aeroelasticity
: Success, Progress, Challenge,’ Journal of
Aircraft, Vol. 40, No.5, 2003.
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