united (ual) performance manual
TRANSCRIPT
-
7/30/2019 United (UAL) Performance Manual
1/64
INTRODUCTION
United Airlines employs a Fleet Standard system of defining, calculating, and using performance data. Thismeans only onesystem of performance procedures must be learned, regardless of seat or airplane. The factsand definitions learned from this manual, indoctrination academics, and in the CBT (Computer Based Trainer) will
carry over directlyinto your first, and all subsequent fleet transition courses. The time to acquire a thoroughandcompleteunderstanding of United Fleet Standard performance is now. There is little time allotted in transition
training to learn the basics of performance. Learn it now. Learn it well.
DEFINITIONS
The calculation and use of Fleet Standard performance data depends on a complete and uniform understanding ofcertain terms. The following basic definitions are the basis for all performance calculations.
PRESSURE ALTITUDE
Pressure altitude is actual field elevation corrected for variations from standard pressure. At sea level on aStandardDay an altimeter setting of 29.92 makes the altimeter read correctly; i.e., zero. If the pressure is not
standard, then the altimeter must be adjusted in order to read correctly. This concept is true at all elevations.The adjustment is the altimeter setting we receive from the tower.
To find the pressure altitude at any time, just set 29.92 in the altimeter. If the local altimeter setting is greater than29.92, pressure altitude is lower than field elevation. And the opposite, of course, is also true.
Arithmetically, pressure altitude can be determined using the relationship of ten feet of altitude change for each.01 inch of altimeter change. For example:
If field elevation = 5333, andaltimeter setting = 30.02, then
pressure altitude = 5233.
In this case, the altimeter setting has increased by .1 inch from standard. Therefore, pressure altitude is 100 feet
less than field elevation.
Pressure altitude is an entry parameter for performance procedures such as V speed corrections.
DENSITY ALTITUDE
Density altitude is pressure altitude corrected for variations from standard temperature.
An airplane always performs based on density altitude. Drag, lift, power available, and true airspeed are all
affected by the number of air molecules per unit of time that hit the airframe, flow over the wing, and areprocessed through the engines. As density altitude decreases (more dense air), drag, lift, and power available allincrease, but true airspeed decreases. As density altitude increases (less dense air), drag, lift, and power
available all decrease, but true airspeed increases.
STANDARD PERFORMANCE 02/01/94Page 1
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
2/64
CHORD LINE
A chord line is an imaginary straight line from the very front of the leading edge of the wing to the very back of thetrailing edge. The line does not necessarily remain entirely inside the wing, nor does it necessarily remainconstant at a given wing section. For instance, the chord line changes continuously as flaps are lowered. For
purposes of defining the chord line, the flaps are considered part of the wing.
Figure 1
RELATIVE WIND
Relative wind is simply the direction from which the airstream strikes the chord line as the airplane moves throughthe air. Normally, the relative wind strikes the airplane from somewhat below the chord line. (Figure 2)
ANGLE OF ATTACK
Angle of attack is the angle between the chord line and the relative wind. Angle of attack is notthe same thing aspitch attitude. The angle of attack for a particular combination of weight and speed may be changed by altering
the shape of the wing; i.e., changing flap setting. Angle of attack is one of the parameters affecting airplaneperformance (along with weight, altitude, temperature, airspeed and configuration).
Figure 2
RELATIVEWIND
ANGLE OFATTACK
STANDARD PERFORMANCE02/01/94Page 2
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
3/64
LIFT
Lift is the force, perpendicular to the relative wind, that opposes weight and keeps the airplane airborne.
There are four ways a pilot can change the amount of lift being produced by the wings:
1. Change density Altitude. Normally, this is done by changing actual altitude. Density altitude couldalso be changed by flying into a region of warmer or colder air, or a region of higher or lower
pressure, while maintaining a constant actual altitude. As density altitude increases, lift decreases,and as density altitude decreases, lift increases.
2. Change angle of attack. As angle of attack increases, lift increases, up to the point where the wingstalls, resulting in a massive loss of lift. For a given weight and configuration, the angle of attack at
which this loss of l ift occurs corresponds to a certain speed, which is stall speed of the airplaneunder those conditions. In normal airline operations, we dont fly the airplane anywhere near the
maximum angle of attack, exceptduring max performance windshear recoveries.
3. Change the shape of the wing. This is usually done by extending trailing edge and/or leading edgedevices, which increases wing area and camber, thus increasing lift. The more devices extended,the greater the lift of the wing. Drag, of course, would also increase.
4. Change speed. Increased airspeed at a constant angle of attack produces greater lift.
THRUST
Thrust is the product of two things: the mass of air that flows through an engine and the increase of velocityimparted to the air as it exits the engine.
Thrust produced by a jet engine results when a mass of air entering the intake is compressed, then heated bycombustion. This enables the air mass to be accelerated through the turbine section to be exhausted at a much
higher velocity.
The engines on Uniteds airplanes are turbofans. A turbofan is an engine that has a fan mounted ahead of thecompressor. The fan accelerates a large mass of air which bypasses the core of the engine to be mixed with the
jet exhaust. The thrust of this engine is the combination of the thrust produced by the fan section and that
produced by the core. Some of the advantages of a turbofan are lower noise and increased fuel efficiency.
The factors a pilot can change to affect thrust are:
1. Fuel flow and RPM. Within limits, the higher the fuel flow and greater RPM, the more thrust the
engine will produce. As long as the operating limits of the engine are not exceeded, the faster itturns, the more air and fuel it can process, so the more thrust it produces.
2. Density altitude. This factor has a huge effect on thrust. As the density of the air entering the enginechanges, the mass flow rate, and therefore thrust, change.
4. Airspeed. As airspeed increases, thrust decreases. This is because the mass flow rate out of theengine remains relatively stable, while the mass flow rate into the engine increases. Since thrust is
proportional to exhaust mass flow rate minus inlet mass flow rate, as airspeed increases thrustactually decreases, and vice versa.
STANDARD PERFORMANCE 02/01/94Page 3
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
4/64
DRAG
Drag is the force, parallel to the relative wind, that opposes movement in the direction of flight. The total dragacting on the airplane is the sum of three primary components: parasite drag, induced drag, and compressibilitydrag.
Parasite drag, sometimes referred to as form drag, barndoor effect or the flat plate effect is drag that resultsfrom trying to push the airplane shape through the air. There are four ways to influence parasite drag:
1. Change the shape of the airplane, usually with flaps, slats, spoilers, speed brakes, or landing gear.
2. Change the speed. Parasite drag is negligible at low speed, but increases dramatically as speedincreases. In fact, parasite drag varies with the squareof the airspeed.
3. Change angle of attack. Parasite drag increases as angle of attack increases because the airplane
presents a larger shape to the relative wind.
4. Vary density altitude. As density altitude increases, drag decreases, and vice versa.
Induceddrag is drag that results from the production of lift. Induced drag varies with angle of attack, weight,altitude, temperature, configuration and airspeed. At low speeds, induced drag is quite high. At the design cruise
speed, induced drag is low.
Compressibility drag is caused by the compression of air in front of the onrushing airplane, and the resultingshockwavebuildup. It begins to be a factor at about .75 mach, depending on wing design. As speed buildsbeyond this point, compressibilitydrag increases rapidly.
Figure 3 shows how parasite drag, induced drag and compressibility drag all combine to produce a total drag
curve. From this plot it is evident that at some given airspeed, total drag is at its minimum. This is importantwhen determining holding speed because when drag is at a minimum, the thrust required to maintain an altitude
for a given weight is at a minimum. Fuel flow at this point is also very close to being at a minimum which servesto maximize endurance. (See Holding Speed Section for further discussion)
STANDARD PERFORMANCE02/01/94Page 4
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
5/64
Velocity
Drag risedue to
compressibility
Total DragParasite Drag
Stall
Induced Drag
MinDrag
Speed
MaxRangeSpeed
Total Drag Curve Figure 3
The point where a straight line drawn from the lower left corner of the graph tangent to the total drag curve definesthe speed that gives the best mileage the max range speed. Any deviation from this speed requires additionalfuel for every mile traveled through the air.
Each total drag curve is specific to weight, configuration, altitude and temperature. Generally, the lower the
weight, the lower the minimum drag and max range speeds. As far as configuration goes, the best minimum dragand max range speeds are both achieved with the airplane as clean as possible.
When lift equals weight and thrust equals drag, the airplane is neither accelerating nor decelerating.Unaccelerated flight can be level flight or a constant speed rate of climb or descent. If an airplane has more thrust
(power) than is required for level unaccelerated flight, the excess thrust (power) can be used to climb oraccelerate.
STANDARD PERFORMANCE 02/01/94Page 5
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
6/64
LOAD FACTOR
Load factor is the ratio of the lift the wings must generate to keep the airplane in stabilized flight to the actualweight of the airplane. In straight and level flight, the load factor is one. As Figure 4 shows, as the airplane isbanked, the load factor starts to increase. For example, a 100,000 pound airplane must generate 115,000 pounds
of lift to maintain level flight in a 30 degree bank. At 45 degrees of bank, it will take 142,000 pounds of lift to holdup the 100,000 pound airplane.
L
2.00
1.90
1.80
1.70
1.60
1.50
1.40
1.30
1.20
1.101.00
0 5 10 15 20 25 30 35 40 45 50 55 60
Bank Angle ()
Relation of Bank Angle to Load Factor
Figure 4
oad
Factor
g
Load factor isnt the only thing that increases in a bank. Since the wings must generate additional lift, induceddrag and stall speed also rise. Using Figure 5, note that if a 100,000 pound airplane has a wings level stall speed
of 100 knots, at 30 degrees of bank the stall speed will be about 107 knots. At 45 degrees of bank, the stall speedrises to about 118 knots. The maneuvering and reference speeds shown on all United takeoff and landing datacards provide a stall margin of at least 1.3 or for more recently certified airplanes, 1.23 times the One G stall
speed (VS 1G). Both certification methods provide about the same amount of stall margin. The purpose of this
margin is to provide for overbank protection, and to account for turbulence, which can instantaneously raise bothload factor and stall speed without warning.
I1.45
5 10 15 20 25 30 35 40 45 50 55 60
Bank Angle ()
Relation of Bank Angle to Stall Speed
1.40
1.35
1.30
1.25
1.20
1.15
1.10
1.05
1.00
0
Figure 5
ncrease
in
st
all
speed
STANDARD PERFORMANCE02/01/94Page 6
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
7/64
HYDROPLANING
An article in Boeing Airlinerexplains hydroplaning: As a tire rolls along a wet runway, it is constantly squeezingthe water from the tread. This squeezing action generates water pressures which can lift portions of the tire offthe runway and reduce the amount of friction the tire can develop. This action is called hydroplaning. The loss of
friction can be partial or complete. There are three types of hydroplaning: Viscous, Dynamic and RevertedRubber.
Viscous hydroplaning is the loss of friction due to thin film lubrication. It is most often caused by a very thin filmof water over the rubber deposits in the touchdown zone or the runway. Although friction loss does occur, there is
normally enough to cause wheel spinup in order to initiate the antiskid system.
Dynamic hydroplaning occurs when the surfaces of the tires lose contact with a wet runway and ride up on thelayer of water covering the runway. This effect is exactly the same as water skiing. When is occurs tire friction is
lost and wheel spinup may not occur. High speed, standing water, tire condition, tread depth, and runway surfacetexture and condition are all factors contributing to Dynamic hydroplaning. The speed at which hydroplaning willbegin can be figured out by multiplying the square root of the tire pressure for your airplane by 7.7. As an
example, on the 737300/500, the speed is about 110 knots.
Reverted Rubber hydroplaning is the loss of friction due to a tire skidding on a smooth wet or icy surface. Theheat due to friction generates steam which lifts the tire off the runway. The heat generated by the steam revertsthe rubber to a black gummy substance. It can be initiated at any speed above about 20 knots and results in tire
friction levels equivalent to an icy runway.
STANDARD PERFORMANCE 02/01/94Page 7
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
8/64
N1 / N2
N1 is the percent RPM of the low pressure section of the engine. It consists of the fan, the first few stages of thecompressor section, the aft most stages of the turbine section, and the shaft which connects them.
N2 is the percent RPM of the high pressure section of the engine. It consists of the majority of the compressorsection stages and the forward stages of the turbine section.
N1 and N2 are indicated in percent of a nominal value of actual revolutions per minute of the respective section.For this reason it is not uncommon for N1 and N2 limits to be greater than 100%.
EPR
EPR stands for Engine Pressure Ratio. It is the ratio of the total air pressure at the exhaust section of the
engine to the total air pressure at the intake. As such, it is an indication of the thrust being produced by theengine. Always crosscheck the N1 gauges to see if the RPM is correct for the EPR shown. On some modernairplanes, the EPR gauges have been eliminated, and N1 is used to set thrust.
VmcgVmcg stands for Velocity, Minimum Control, Ground. It is the lowest speed at which directional control of the
airplane can be maintained on the ground after an engine failure withoutthe use of brakes or nosewheel steering.In other words, it is the minimum speed at which the control surfaces are effective on the ground (rudder pedalnosewheel steering is disconnected for certification testing).
Vmca
Vmca stands for Velocity, Minimum Control, Air. It is the lowest speed at which control of the airplane can be
maintained in the air, after an engine failure. Banking slightly into the good engine usually enhances engine outcapability. The conditions under which Vmca is determined for an airplane limit this bank angle to five degreesduring the certification process.
For determining Vmcg/a, it is assumed that the operating engine(s) remain at maximum thrust and the takeoff iscontinued.
STANDARD PERFORMANCE02/01/94Page 8
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
9/64
Vminimum
Some airplanes have V minimum tables given in the Flight Manual and the Flip Cards, which provide for V1minimum, Vr minimum and V2 minimum speeds, as applicable. They are defined as follows:
V1 minimum = VmcgVr minimum = 1.05 Vmca
V2 minimum = 1.10 Vmca
The 727 is not effected by Vmca or Vmcg because of the proximity of the pod engines to the centerline of the
airplane, and does not have V minimum tables. On some airplanes, Vr minimum and V2 minimum may not limitany of the flip card speeds and are not provided.
Vmbe
Vmbe stands for Velocity, Maximum Brake Energy. It is the maximum speed at which the brakes can absorb allthe energy required to stop the airplane at a given weight. The certification process for Vmbe consists of
considerable taxiing and stopping to warm up the brakes, and then a max effort stop from the proposed Vmbe
speed. The brakes may catch fire. All that is required is that any brake fire remains confined to the wheel area fora period of five minutes with no fire retardant applied. This is to accommodate evacuation of the airplane.
V1 must always be less than Vmbe.
BRAKE ENERGY LIMIT WEIGHT
Brake Energy Limit Weight is the maximum weight at which a max effort stop can be made from the planned V1
(defined on page 10) without exceeding the certification requirements of Vmbe. Brake Energy Limit Weight andVmbe are closely tied together, but unlike Vmbe, Brake Energy Limit Weight is runway specific.
REJECTED TAKEOFF BRAKE COOLING
A Rejected Takeoff Brake Cooling Table is published in each Flight Manual which must be consulted following a
rejected takeoff. The charts indicate required ground cooling time, as a function of indicated airspeed and grossweight. The purpose of the ground cooling time is to allow heat, which has built up in the brakes, to dissipate tothe wheels and tires. This ensures that the peak temperature of the fuse plugs has been reached before anyfurther operation.
STANDARD PERFORMANCE 02/01/94Page 9
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
10/64
MAXIMUM PERFORMANCE STOP
Many line pilots have expressed the opinion, based on their everyday experience, that it would be impossible toget the airplane stopped from V1 in a Runway Limited situation. This perception comes from the normal stoppingperformance experienced on each landing. The vast majority of pilots will never experience a true max
performance stop from high speed. A properly performed max performance stop requires maxbraking to bemaintained throughout the maneuver. The airplane may buck or vibrate. The brakes may even begin to burn.
The bottom line is that the airplane and stopping performance is dramatic when a Max Performance stop isperformed. A properly executed Max Performance stop results in an amazingly short stopping distance. The pilot
must apply full leg and back strength standing on the brakes and use the full capability of the antiskid system toaccomplish this maneuver. Brake pressure must be maintained until the airplane comes to a complete stop.
TIRE LIMIT SPEED
Tire Limit Speed is the maximum speed at which the tire can safely operate during takeoff or landing roll, ascertified by its manufacturer. The certification process does not take into account the impact forces of a high sink
rate landing. At United, takeoff runway limit weights protect tire speed. Since Tire Limit Speeds are based onground speed and not airspeed, it is possible on a hot day at a high altitude airport to exceed the Tire Limit Speed
with the indicated airspeed showing below the limit.
CLUTTER
Clutter refers to standing precipitation on a runway surface that can be expected to impede airplane acceleration.
As used in United performance calculations, clutter is standing water or slush of at least 1/8 inch depth, wet snowof at least 1/4 inch depth, or dry snow of at least one inch depth. The various types and depths of clutter are
classified into clutter levels according to a table printed in the United Flight Operations Manual and reprinted ineach airplane Flight Manual. The classification of clutter levels is the same for all fleets.
Clutter has little effect on initial acceleration, but becomes significant as speed increases. The effects of clutterare not taken into account when calculating landing performance because clutter, by definition, deals with the
impedance of acceleration.
BRAKING ACTION
The normal method of accounting for the effects of runway contamination on stopping performance is with Braking
Action Advisories. They may come from Pilot Reports or FAA testing equipment, and may be issued on ATCfrequencies or by ATIS. The United Flight Operations Manual contains extensive guidance on Braking Action.
STANDARD PERFORMANCE02/01/94Page 10
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
11/64
CLEARWAY
Clearway is an area beyond the runway, not less than 500 feet wide, centrally located about the extendedcenterline of the runway, and under the control of the airport authorities. The clearway is expressed in terms of aclearway plane, extending from the end of the runway with an upward slope not exceeding 1.25 percent, above
which no object nor any terrain protrudes. Threshold lights may protrude above the plane if their height above theend of the runway is 26 inches or less and if they are located to each side of the runway. Clearway extends the
available takeoff distance of a given runway.
STOPWAY
Stopway is an area beyond the takeoff runway, no less wide than the runway and centered upon the extendedcenterline of the runway, able to support the airplane during an aborted takeoff, without causing structural damageto the airplane, and designated by the airport authorities for use in decelerating the airplane during an aborted
takeoff. Stopway extends the available AccelerateStop Distance of a given runway.
United considers clearway and stopway to increase takeoff weight capability on an extremely limited basis. In allother cases where clearways and stopways exist, they provide increased takeoff margins.
TAKEOFF PERFORMANCE
All United airplanes are certified under FAR Part 25, and must meet specific takeoff flight path criteria. Thetakeoff flight path extends from a standing start to the point at which the airplane reaches 1500 feet above the
takeoff surface, or when the transition from the takeoff configuration to the enroute configuration is complete,whichever is higher. When reduced thrust is used, all FAR Part 25 criteria must be met at that reduced thrust.
Takeoff data, obtained in certification by the airplane manufacturer, is presented in the FAA-approved AirplaneFlight Manual (AFM). Our Operational Engineering Department uses the AFM to develop the Performance Data
presented in our Flight Handbooks, Flip Cards, and the computer generated Planned Takeoff Data Message,which are tailored specifically to our operation.
MAXIMUM TAXI WEIGHTMost airplanes are certified to taxi at a weight slightly greater than Takeoff Structural Limit Weight. This is toprovide a taxi fuel allowance. Therefore, Maximum Taxi Weight is Takeoff Structural Limit Weight plus Taxi Fuel
Allowance.
STANDARD PERFORMANCE 02/01/94Page 11
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
12/64
ALLOWABLE TAKEOFF GROSS WEIGHT ATOG
(Takeoff Limit Weight)
ATOG is the most restrictive (lowest) of:
Structural Limit Weight.
Runway Limit Weight.
Performance Limit Weight.
Enroute Limit Weight (some airplanes).
Landing Limited Takeoff Weight.
STRUCTURAL LIMIT WEIGHT: Structural Limit Weight is found in the Limitations section of the Flight Handbook.It is determined by the manufacturer and ensures that the airplane will meet maximum inflight weight restrictions
once airborne. It is the most restrictive of certified maximum takeoff weight or maximum taxi weight minus theplanned taxi fuel.
RUNWAY LIMIT WEIGHT: At United, Runway Limit Weight is the most restrictive (lightest) of:
FAR Field Length limit weight.
Obstacle clearance limit weight.
Brake energy limit weight.
Tire speed limit weight.
FAR FIELD LENGTH LIMIT WEIGHT: FAR field length limit weight is determined by the most restrictive
(longest) of the following field lengths:
All Engine Takeoff Field Length.
One Engine Inoperative Takeoff Field Length (AccelerateGo Distance).
AccelerateStop Distance.
Note: FAR Part 25 allows the use of stopways and clearways during the calculation of required runway
lengths.
United Airlines uses stopways and clearways in developing performance data on a very limited
basis. (See definition of Stopway/Clearway, this section.)
ALL ENGINE TAKEOFF DISTANCE: The total distance required to accelerate on all engines, rotate at Vr,
liftoff, and reach 35 feet at a speed equal to or greater than V2.
ALL ENGINE TAKEOFF FIELD LENGTH: 115% of the All Engine Takeoff Distance.
STANDARD PERFORMANCE02/01/94Page 12
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
13/64
ALL ENGINE TAKEOFF FIELD LENGTH
ALL ENGINE TAKEOFF DISTANCE TO 35 FT
ALL ENGINE TAKEOFF FIELD LENGTH
15%
V1
Figure 6
Vr Vlof V2 or greater
35 FT
MARGIN
ACCELERATEGO DISTANCE: The total distance required to accelerate from a standing start to V1, andassuming the critical engine failure is recognized at V1, to continue the takeoff and be at V2 at 35 feet using
only aerodynamic controls and average piloting skills. (This is also called One Engine Inoperative TakeoffField Length.)
ACCELERATESTOP DISTANCE: The total distance required to accelerate from a standing start to V1,and assuming the critical engine failure is recognized at V1, to bring the airplane to a full stop using brakes
and spoilers only with engines at idle thrust.
Note: In the certifications applicable to our airplanes, maximum brake application was simultaneous with
V1. For this reason, the V1 callout must be initiated so that it is completed, and stop action
initiated (application of maximum braking) no later than computed V1 speed. The technique that
United uses is to initiate the callout as the airspeed needle approaches within 5 kts. of V1 to
ensure completion by V1. (See V1 discussion which follows.)
OBSTACLE CLEARANCE LIMIT WEIGHT: The maximum weight at which the airplane can clear allobstacles in the takeoff path. Since any obstacle (and therefore the weight restriction) is runway specific, it
is always included as a runway limit weight consideration. The margin of obstacle clearance is 35 ft at theend of the takeoff distance. The margin increases with distance from the end of the takeoff distance (the
farther the obstacle is from the runway, the greater the margin of clearance).
BRAKE ENERGY LIMIT WEIGHT: The maximum weight at which a stop can be made from V1 without
exceeding the allowable brake energy.
TIRE SPEED LIMIT WEIGHT: The maximum weight at which liftoff speed would not exceed the maximum
tire speed.
PERFORMANCE LIMIT WEIGHT: The maximum weight at which the airplane can achieve the minimumFAR-specified climb gradient usually limited at beginning of Second Segment climb. The climb gradient requireddepends on the number of engines installed. (See CLIMB SEGMENTS, page 19.)
ENROUTE LIMIT WEIGHT: That weight (applicable to some airplanes) which ensures the airplane meets specificenroute performance criteria as specified under FAR 121.191. (See METHOD I/METHOD II DISPATCH, page21.)
LANDING LIMITED TAKEOFF WEIGHT: Destination allowable landing weight plus planned trip fuel burnout.
STANDARD PERFORMANCE 02/01/94Page 13
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
14/64
V1
The definition of V1, as published in the FARs, has changed several times over the years, resulting in someconfusion among pilots. A knowledge of the history of the FARs, and the changes that have taken place, is not asimportant as understanding the operational significance of V1.
Transport category airplanes certificated in the United States, in the last 25 years, use a method similar to the
following to determine the balanced runway limit weight and its associated V1:
The airplane is assumed to accelerate with all engines operating from a standing start to the point
where the critical engine fails (Vef). The airplane continues to accelerate, with one engine inoperativeto the point where the engine failure is recognized (V1). If the takeoff is to be continued, using only
aerodynamic controls and average piloting skills, the airplane can accelerate, with one engineinoperative, to the point at which V2 is achieved at 35 feet above the end of the runway. If the takeoff is
to be rejected, maximum braking is applied at V1, throttles are retarded, and the spoilers areextended. A short time delay is included after V1 to account for thrust reduction to idle, and spoilerdeployment. The details of how the manufacturer applies these time delays, during the certification
process, varies from airplane to airplane. It is assumed that maximumeffort braking at V1 is used to
bring the airplane to a stop at the end of the runway. No credit is taken for reverse thrust.
The most important concept, common to all rejected takeoffs, is that V1 is the brakes on speed, not thedecision speed. The decision to abort must be made, and the abort initiated, at or before V1, to ensurethe likelihood of stopping on the remaining runway.
V1 -- ADDITIONAL INTERESTING FACTS
The adjusted V1 speed obtained from the Flip Cards is a Balanced Field V1. This means simply that with anengine failure at this speed, it would take an equal distance to abort, or to continue the takeoff. Since mosttakeoffs made at United Airlines are made at considerably less than Runway Limit Weight, the available runwaylength is greater than the Balanced Field Length. This additional length would be beyond, in most casesconsiderably, that required to stop or go from V1. This additional runway length, when available, is what allowsunbalancing V1 through such procedures as Optional V1, or the AntiSkid Inoperative procedure. It also allowsReduced Thrust operations.
Conditions which could adversely effect stopping distance, such as runway composition, runway contamination
(i.e., rubber build up), and crosswind effect, are not accounted for in certification.
Since reverse thrust is not used in certification, it provides a measure of conservatism.
STANDARD PERFORMANCE02/01/94Page 14
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
15/64
BALANCED FIELD LENGTH
A balanced field condition exists when AccelerateStop Distance equals AccelerateGo Distance. This isdetermined by selection of V1 speed. For a given set of ambient conditions and airplane weight, only one V1speed would cause these distances to be equal. The associated runway length is called the Balanced Field
Length, and is the minimum runway length required for takeoff. Selecting a lower V1 decreases AccelerateStopDistance, but increases AccelerateGo Distance. Conversely, selecting a higher V1 decreases AccelerateGo
Distance, but increases AccelerateStop Distance. Either increases required Takeoff Field Length. (See V1 ADDITIONAL INTERESTING FACTS, page 17).
ACCELERATESTOP DISTANCE
Figure 7
V1
V1ACCELERATEGO DISTANCE
BALANCED FIELD LENGTH
AVAILABLE RUNWAYLENGTH
The V1 speed determined from the Flip Card is Balanced V1. United uses Balanced Field Length rather thanRunway Length as the basis for V speed calculations. (See V1 ADDITIONAL INTERESTING FACTS, PAGE17.)
STANDARD PERFORMANCE 02/01/94Page 15
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
16/64
The figure below illustrates Balanced Field Length in another way. It is readily apparent that increasing anddecreasing V1 from the Balanced V1 increases runway required.
Figure 8
BALANCED FIELD LENGTH
All engine operating acceleration distance to V1
One engine inoperative acceleration distance from V1 to V2 at 35
Distance to stop from V1
BalancedField Length
Runway Available
BalancedV1
V1
STANDARD PERFORMANCE02/01/94Page 16
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
17/64
UA TAKEOFF SAFETY POLICY
In the high speed regime, especially at speeds near V1, a decision to stop should be made only if thefailure involved would impair the ability of the airplane to be safely flown.
The 80 knot thrust set callout should alert the crew that they are approaching the high speed phase of takeoff. In
the high speed regime, the Captains bias should be to continue the takeoff, unless there is a compelling reason toreject. Conditions that may validate a stop decision include, but are not limited to, engine failure, fires, or anymalfunction where there is doubt that the airplane will fly.
Any malfunction that does not impair the ability of the airplane to be safely flown does not warrant an abort in thehigh speed phase of takeoff. During the departure briefing, the Captain should clearly communicate this to the
flight crew.
This Takeoff Safety Policy does not advocate that a GO decision be made at or just after the 80 knot thrust setcallout. Even though the airplane is approaching the high speed regime, the Captain must make the decision tostop or go based on the nature and severity of the malfunction and its proximity to V1. At or beyond V1, takeoffshould be continued due to the possibility of insufficient runway available to stop the airplane if a STOP decisionis made. Finally, this Takeoff Safety Policy is intended to call attention to the variable and changing decision
making challenges presented during the takeoff phase of flight.
V1 CALLOUT PROCEDURES
Recognizing that V1 is the speed by which the GoNo Go decision must be completed, and, in the case of anaborted takeoff, maximum braking applied, procedures in all Fleets specify:
The V1 callout must be made by the PilotNotFlying such that any decision to abort can be made, and
the stop initiated by, and not after V1.
Since the airplane is accelerating at 35 kts/second as it approaches V1, the accepted technique is to initiate the
callout as the airspeed needle approaches within 5 kts of the set V1 bug. This allows time for the call to be made,heard, and acted upon by V1.
V1 ADJUSTMENTS
Required adjustments to the basic V speeds on the Flip Cards vary slightly according to airplane type. Requiredadjustments are always found on the Adjustments tab of the Flip Card deck and in the Flight Handbook.
STANDARD PERFORMANCE 02/01/94Page 17
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
18/64
Vmu
Vmu is Minimum Unstick Speed. It is the lowest possible speed at which the airplane can lift off. To certify Vmu,the takeoff roll is begun with the control yoke held full aft. The yoke is held in that position until the airplanebreaks ground. This is a certification flight test maneuver to determine Vr speed.
Vr
Vr is the speed at which rotation to normal takeoff attitude must begin to reach V2 by 35 feet (with an engine
inoperative). It must ensure adequate margin above demonstrated all engine and engine inoperative MinimumUnstick (Vmu) Speeds and Minimum Control Speed Air (Vmca). It assumes the pilot rotates at a normal rate.
The following restrictions apply:
Vr must not be less than V1.
Vr must be 5 percent greater than Vmca.
Since these speeds are predicated on losing an engine at V1, on a normal takeoff the airplane should reach V2 atless than 35 feet.
V2
V2, Takeoff Safety Speed, must be at least 110% of Vmca and 120% of Vs. It is the speed at which it is assumedthe airplane will be flown to meet climb gradient criteria with an engine inoperative.
CLIMB GRADIENT
When pilots talk about climb performance, they are normally talking about climb ratein feet per minute. However,airplane climb performance with regard to takeoff and approach certification requirements is calculated using
Climb Gradient, which is distance climbed per distance traveled across the ground, expressed in percentage. Aone percent climb gradient would be 10 feet of altitude gained for every 1000 feet traveled.
CLIMB SEGMENTS
The takeoff profile, as defined by the FARs, is composed of four segments. The first segment is from liftoff to thepoint at which the landing gear are fully retracted. The second segment is from gear retraction to level off. The
third (acceleration) segment is from level off through acceleration to cleanup and final climb speed. The fourth(final) segment begins with the thrust reduction from Takeoff Thrust to Maximum Continuous Thrust and ends
when the airplane has reached 1500 AFE. Minimum climb gradient capabilities are established for each segment,with one engine becoming inoperative at V1. This is the basis for all takeoff performance data provided by
United.
United addresses the takeoff profile as five segments, providing a more detailed illustration of airplane
performance.
First segment: From liftoff to gear retracted. The climb gradient required for all airplanes in this segment is thatwhich will allow the airplane to reach V2 (takeoff safety speed) and35 feet AGL no later than the end of thetakeoff distance.
STANDARD PERFORMANCE02/01/94Page 18
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
19/64
Second segment: From gear retracted to the first level off, which must be at least 400 AFE, or higher if specialterrain clearance requirements exist at that airport. The minimum climb gradient required during this segment isas follows:
Two engine airplanes 2.4 percent.
Three engine airplanes 2.7 percent.
Four engine airplanes 3 percent.
Third segment: From the first level off to flaps up. Although the airplane is in level flight during this segment, the
minimum climb gradient availableduring this and all subsequent segments must be as follows:
Two engine airplanes 1.2 percent.
Three engine airplanes 1.5 percent.
Four engine airplanes 1.7 percent.
Fourth segment: From Flaps up to the first power reduction.
Fifth segment: From the first power reduction to 1500 AFE.
Figure 9
VR VLOF
V2 and35 ft AGL
V1 Engine failure occursand takeoff continues
FIRSTSEGMENT
LIFTOFF TO
GEAR
RETRACTED
SECONDSEGMENT
GEAR
RETRACTED
TO THE FIRST
LEVEL OFF
THIRDSEGMENT
FIRST LEVEL
OFF TO FLAPS
UP
FOURTHSEGMENT
FLAPS UP TO
FIRST POWER
REDUCTION
FIFTHSEGMENT
FIRST POWER
REDUCTION TO
1500 AFE
GEARRETRACTED
Takeoff Distance(AccelerateGo Distance)
STANDARD PERFORMANCE 02/01/94Page 19
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
20/64
METHOD I / METHOD II DISPATCH
During the flight planning process, all transport category airplanes are required by FAR 121.191 to account forenroute performance limitations in the event of an engine failure. All flights must plan a route and/or limit themaximum allowable takeoff gross weight (MTOG) so that the airplane will have sufficient performance to clear
enroute terrain if an engine becomes inoperative. Most airplanes in Uniteds fleet can either dump fuel to reduceweight, or they have sufficient engine inoperative performances so that MTOG is not restricted. However, the
B737 and the A320 cannot dump fuel to reduce weight. As a result, their MTOG may be limited on routes overmountainous terrain. In case the Takeoff Enroute Limit Weight becomes too restrictive, there are two alternate
dispatch methods for the called Method I and Method II.
Method I is the more weight restrictive of the two methods, and is not normally used by Dispatch unless nosuitable alternate airport is available. Its use is based on the following assumptions and requirements:
1. The engine failure occurs sometime during the climb.
2. The airplane will have adequate engine out performance capability to clear all obstacles within five
statute miles of the planned route of flight to the destination by 1000 feet and still have a positive
(300 footperminute) climb capability.
3. The APU will be used for pressurization and air conditioning below 17,000 MSL (B737 only).
4. Antiice penalties will be applied if PIREPS or forecasts indicate icing below FL 180 along the route
of flight.
If a flight has been dispatched Method I, the phrase FAR 121.191A1 Method I will appear near the top of thecomputerized flight plan. If your maximum takeoff weight is limited by Takeoff Enroute Limit Weight, then a
phrase like ENRT T+05 AI will appear in the remarks section. T+05 means standard temperature plus five isthe forecast temperature at the planned single engine cruise altitude, and AI means antiice is forecast to benecessary. Enroute weight limits will be printed for a variety Temperatures/Antiice configurations near the
bottom of the flight plan.
Method II is not enroute weight limiting. It breaks the planned route of flight down into segments, with eachsegment having a suitable enroute driftdown alternate with weather at or above alternate minimums. Method IIplanning is based on the following assumptions and requirements:
1. One engine fails at or above FL 240.
2. The airplane will perform a max range driftdown to the designated driftdown alternate for that sector.The flight planning for this driftdown uses worst case conditions: 100 knot headwinds, temperature
10C above standard, engine and wing antiice on.
3. The airplane has adequate performance during the driftdown maneuver to clear all obstacles along
the flight path by 2000 feet.
4. The airplane will be able to arrive over the alternate airport and have a positive (300footperminute) climb capability at 1500 ft AFE.
5. The APU will not be available for pressurization (B737 only).
6. If an engine didfail below FL 240, the airplane would return to the departure airport or its alternate, if
required.
STANDARD PERFORMANCE02/01/94Page 20
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
21/64
If a flight has been dispatched Method II, near the top of the computerized flight plan, the phrase FAR 121.191A2ENRTE ALTN XXX XXX XXX XXX .... will appear. The XXXs are the enroute alternates for each segment ofthe route. A description of the Method II segments and alternates will appear near the bottom of the flight plan.
The Weather Briefing Message portion of the flight plan will contain the appropriate weather and NOTAMS foreach of the designated enroute alternate.
Remember, Method I/Method II is a dispatch function. Once the flight is airborne, and an engine fails, nothinginMethod I or Method II relieves the crew of the FAR requirement to proceed immediately to the nearest suitable
airport in point of time at which a safe landing can be made.
MAXTAKEOFF THRUST
Max Takeoff Thrust is the maximum thrust which may be set for takeoff, adjusted for density altitude, which willnot exceed any engine limitations or design parameters. It is shown on the N1/EPR/ATOG section of the Planned
Takeoff Data Message as Max EPR/N1 or Max N1, depending on airplane type. The design parameters mostlimiting to this thrust setting are usually RPM and turbine inlet temperature. The time limit normally associatedwith this thrust setting is five minutes for U.S. operators.
Max Takeoff Thrust is normallynotthe maximum thrust available from the engine. On some airplanes, additionalthrust is available beyond Max Takeoff Thrust, but using it on takeoff would exceed engine limitations or designparameters, and require that the engine be grounded and inspected prior to flying again.
MAXIMUM THRUST
Most turbojet engines are capable of producing more thrust than maximum certified takeoff thrust simply by settingthe throttles to their maximum forward position. On airplanes so equipped, the engine control system may prevent
thrust from increasing beyond certified limits. Maximum thrust is not legal to use in any phase of flight. However,in case of an emergency situation, such as a windshear encounter close to the ground, use of maximum thrustmay be justified. The engines will need to be inspected by Maintenance any time any limit is exceeded.
MAX CONTINUOUS THRUST
Max Continuous Thrust is approved for unrestricted periods of use. Thus, the throttle setting for Max Continuous
Thrust is somewhat less than that for Max Takeoff Thrust. Max Continuous Thrust is normally used afteracceleration and cleanup following an engine failure on takeoff, or following an enroute engine failure.
MAX CLIMB THRUST
Max Climb Thrust is intended for use with all engines operating normally. The throttle setting is usually less thanMax Continuous Thrust, and is intended to provide required climb performance while maximizing engine life. On
some engines, Max Climb Thrust may be slightly greater than Max Continuous Thrust at low altitudes.
MAX CRUISE THRUST
Max Cruise Thrust is determined by the engine manufacturer to meet cruise performance requirements and
maximize engine life, with thrust available as a secondary criteria.
STANDARD PERFORMANCE 02/01/94Page 21
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
22/64
GO-AROUND THRUST
Go-around thrust is the same thrust used for takeoff but the EPRs/N1s are different because of the effect ofairplane velocity.
Go-around thrust is also time-limited to 5 minutes. It is to be used in the event of a missed approach, whenneeded for safety.
REDUCED THRUST
10% 20%
COST/FAILURE RATE
REDUCTION
AVERAGE % THRUST REDUCTION
Figure 10
Figure 12 illustrates that each percent of thrust reduction from maximum takeoff thrust realizes a significant
reduction in engine operating cost/engine component failure rate for about the first 810 percent of thrust
reduction, then becomes a case of diminishing return.
If reducing takeoff thrust enhances safety through reduction in engine failures, and also significantly reducesoperating costs, it would seem prudent to reduce whenever possible. But, it is a well known fact that there is no
free lunch. So, lets ask a couple of questions first. One, why is the relationship depicted in Figure 10 true? And,is it necessary to sacrifice safety margins to reap the benefits of using Reduced Thrust for takeoff?
Why does reduced thrust work?
The positive effect of reduced thrust is so dramatic that engine manufacturers base their guarantee and warrantyprograms on a Severity Factor determined by careful monitoring of the average number of reduced thrust
takeoffs, and magnitude of thrust reduction, at each airline. Their analyses show that while completion of thetakeoff run at reduced thrust may actually use slightly more fuel than at maximum thrust, the positive tradeoffs,
that is, reduction in the potential for engine failure, and reduction in overall engine operating cost, are far moresignificant. As a rule of thumb, an average thrust reduction of 1% provides a 5% reduction in operating cost, witha like effect on engine failure rate.
STANDARD PERFORMANCE02/01/94Page 22
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
23/64
The reason reduced thrust is so beneficial is that it minimizes the effect of four of the most significant factors inengine deterioration and/or failure: Tip Clang & Splatter, Creep, InterGranular Oxidation (IGO), andThermal Stress.
Tip Clang & Splatter is a function of the centrifugal forces on engine components at high RPM. The blades on
the compressor rotor can contact the compressor case. This results in damage to the blade tips, making thecompressor less efficient, and in molten metal splattering on components farther back in the engine. Thiscauses reduced efficiency of the airfoils in the compressor and turbines (similar to ice on a wing). It can also plug
the internal cooling ports in the turbine blades of modern engines, and can, and in fact has, resulted incatastrophic engine failure on a United airplane.
Creep describes the metallurgical effect of the centrifugal forces which stretch the components resulting inunrecoverable and progressive deformation.
InterGranular Oxidation (IGO) describes the oxidation (deterioration) which takes place between the grains ofthe metal of the components. A significant factor is temperature.
Thermal Stress describes the action which takes place within a piece of metal when it it heated or cooled. It is
most severe in the turbine section where the blades and buckets are subject to the blow torch effect of thecombustor. The center portion of the blade is heated faster than the ends when power is added, and the opposite
is true when power is reduced. The effect is most dramatic when setting takeoff thrust, then reducing to climbpower. The impact is similar to repeatedly bending a piece of sheet metal.
Does reduced thrust sacrifice required safety margins?
The FARs require that all takeoff flight path criteria be met at the thrust set for takeoff. If reduced thrust is set fortakeoff, all flight path criteria can be met at that reduced thrust. Increasing to maximum thrust would provide
increased margins. Before learning how to estimate reduced thrust takeoff margin lets review some basic takeoffperformance information.
Most takeoffs at United are made with excess runway and/or climb performance available; i.e., actual weight is
less than runway or performance limit weight. This excess margin can be used in a number of ways:
1. Compensate for inoperative equipment (Antiskid Inop., PMC Inop.)
2. Compensate for runway conditions (Cluttered Runway & Optional V1)
3. Reduced Thrust
Inoperative equipment and less than optimum runway conditions have specific UAL procedures that make takeoffmargins readily apparent. Simply look at the difference between the procedurally calculated limit weight and the
actual weight of the airplane.
The N1/ATOG reduced thrust calculation provides a weight margin (1000 lbs. for 737s to 10,000 lbs. for 747s) to
allow for a weight increase above planned. However, simply comparing actual weight to ASMD ATOG does not
give an accurate picture of real margins, because the ASMD ATOG corresponds to the ASMD TEMP, not actualambient conditions.
STANDARD PERFORMANCE 02/01/94Page 23
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
24/64
True Airspeed Effect
Reduced thrust provides a margin of safety which is often overlooked due to True Airspeed (TAS) Effects. Given
the fact that the actual temperature is lower than the assumed temperature, true air speed (and therefore groundspeed) is actually lower as well.
What this means is that it will take a shorter time and distance to reach V1 at the lower actual temperature than atthe higher assumed temperature. This effect along with improved engine and aerodynamic performance can be
looked at as an added safety margin since credit is not taken for it while calculating the required parameters for areduced thrust takeoff.
There are two methods which can be used to approximate the actual margins available when making a reducedthrust takeoff. One method approximates margin in terms of weight, the other in terms of excess available
runway.
Estimating Reduced Thrust Margins
To estimate the excess runway available, take the difference between the ASMD Temperature and the Actual
Temperature and multiply by 15 (15 feet per degree F). This indicates approximately how much less runway isused (in feet, without using reverse thrust) for Accelerate Stop (or Accelerate Go) at actual ambient conditions
versus ASMD TEMP conditions, using Reduced Thrust corresponding to ASMD TEMP.
The following example uses a 737300. The relationships are true for all airplanes:
Conditions:
ACTUAL TEMP 60F. . . . . . . . . . . . . . . . . . . . . . . . .ASMD TEMP 120F. . . . . . . . . . . . . . . . . . . . . . . . . .ACTUAL RUNWAY LIMIT WEIGHT 130.0. . . . . . . . .
ASMD ATOG 100.0. . . . . . . . . . . . . . . . . . . . . . . . . .ACTUAL WEIGHT 99.0. . . . . . . . . . . . . . . . . . . . . .
Excess runway approximation:
Step 1Step 2
Estimated runway margin
120 60 = 6060 X 15 = 900 feet900 feet (without reverse thrust)
In this case, the AccelerateStop (or Go) could be performed in 900 ft less at actual temperature because of thetrue airspeed effect and the greater net thrust produced at ambient temperature.
STANDARD PERFORMANCE02/01/94Page 24
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
25/64
It is important to remember that this is an approximation that works for all airplane, airport, and temperaturecombinations. It is generally conservative. For example, excess runway can vary from about 14 feet per degreeF, to almost 25 feet per degree F, depending on airplane type, ambient temperature, and pressure altitude. This
procedure may notbe used to determineany ATOG weight. Its only purpose is to provide the flight crew with arule of thumb assessment of the performance capabilities of their airplane when deciding whether or not to use
Reduced Thrust.
In the above example, it was assumed that the ASMD ATOG for 120F was based on the FAR field length
(acceleratego/acceleratestop) part of the runway limit weight equation. This, of course, represents the worstcase scenario regarding the amount of excess runway margin available. That is to say, if these numbers are in
fact limited by the FAR field length, there would still be at least 900 feet of additional runway margin available.
However, this may not be the case. The assumed temperature and weight for a given takeoff not only considers
the FAR field length, but it must also consider the other factors that would normally go into a runway limit weightsuch as obstacle limit criteria. Additionally, performancelimit criteria must also be met. The ASMD ATOG/TEMP
is based on whichever factor is the most restrictive. This means that the excess runway available in the aboveexample may be far in excess of 900 feet, since the ASMD ATOG of 100.0 may in fact be based on a
performance limit weight, nota runway limit weight.
OPTIONAL V1
The purpose of the Optional V1 procedure (also referred to as Slippery V1) is to unbalance (reduce) the
Balanced Field Length V1 to enhance stopping performance. (If there is Clutter on a runway, thatis a separateproblem with its own procedure for determining adjustments to weights and V speeds.) If, however, there is
runway contamination that does not fit the definition of Clutter, or any other time enhanced stopping capability isdesirable, the Optional V1 procedure may be used.
Use of the Optional V1 procedure is only possible when runway length exceeds Balanced Field Length, that is,when the takeoff is not runway limited. Actual weight is compared to Runway Limit Weight and the difference is
converted to an airspeed adjustment that can be applied to reduce V1. Remember, this whole process only worksif there is runway available beyond Balanced Field Length.
STANDARD PERFORMANCE 02/01/94Page 25
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
26/64
MINIMUM UNBALANCED V1
Minimum Unbalanced V1 is the minimum V1 speed which is published in the FAA Approved Flight Manual for aspecific runway limit condition.
The manufacturer has simply chosen a minimum value for V1 to provide takeoff speed information down to Vmcgfor the weight range of the airplane
FLAP RETRACTION SPEED
The figure below shows a typical fleet standard Takeoff and Landing Data card. This one happens to be from a
737300 weighing 113,000 pounds with B2 engines. The flap retraction schedule is at the left side of the card.The published Flap Retraction Speeds are designed to accomplish the following:
Optimize engine out acceleration by minimizing drag.
Maintain adequate stall margin during the retraction sequence.
Protect against flap asymmetry during retraction.
Assure FAR required climb margins.
These speeds are minimum speeds for retraction, which protect against worst case conditions, optimize
acceleration, minimize the distance required to accelerate to climb speed, and assure climb gradient capability.
Notice that the schedule speed for raising the flaps from 15 to 1 is higher than the speed for 5 to 1. This is not a
misprint. On some United airplanes, including this one, the minimum control speed (Vmca) with a full flapasymmetry on retraction from 15 to 1 is higher than the minimum control speed with full asymmetry on retraction
from 5 to 1.
To insure adequate buffet margins exist during flap retraction, if bank angles greater than 15 are required, delay
flap retraction until reaching the maneuvering speed for the next flap configuration.
Figure 11
V 2 146 141 134
136 131 124
135 130 123
Clean
1 to 0
5 to 1
184
173
156
Maneuvering / REF
0
1
15
25
30
40
184160153147
140136133
15 to 1 162
V r
V 1
Flap 1 5 15
5
STANDARD PERFORMANCE02/01/94Page 26
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
27/64
MINIMUM MANEUVERING SPEED AND
LANDING REFERENCE SPEED
These speeds, displayed on the right hand side of the Flip Cards, are the minimum operating speeds for thecorresponding Flap configuration. They provide adequate buffet margin for an inadvertent 15 overshoot beyond
a nominal 25 bank angle.
BEST ANGLE OF CLIMB SPEED
Best Angle of Climb speed is the speed that results in the most altitude gained for the distance covered across the
ground. It is achieved when the ratio of thrust available to total drag is the greatest. This normally occurs at L/Dmax speed.
BEST RATE OF CLIMB SPEED
Best Rate of Climb speed is the speed that results in the most altitude gained per unit of time. It is achieved whenmaximum excess power exists. Since velocity is a factor in the rate of climbequation, Best Rate of Climb speedis always faster than Best Angle of Climb speed.
OPTIMUM CLIMB SPEED
Optimum Climb Speed is the speed that yields the best overall fuel economyfor the climb segment of the flight. Itis normally close to Best Rate of climb speed. It provides the best compromise between three competing goals:
Getting to altitude as quickly as possible.
Using the least fuel possible.
Traveling as far as possible during the climb.
On United airplanes not equipped with a flight management computer, Optimum Climb Speed is shown for eachweight on the Takeoff and Landing Data cards.
ECON CLIMB SPEED
Econ Climb speed considers block hour operating cost, maintenance, and hourly crew costs. At a cost index ofzero, it closely approximates Optimum Climb. However, as time costs increase (cost index increases), Econ
Climb speed increases to reduce trip time, thus optimizing total cost of operation.
Additional Interesting Facts related to Airplane Climb Performance
Airplanes climb due to excess power or thrust.
True Airspeed always increases with altitude if indicated airspeed remains constant.
STANDARD PERFORMANCE 02/01/94Page 27
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
28/64
BUFFET
There are two kinds of Buffet to consider in flight; Low Speed Buffet and High Speed Buffet.
Low Speed Buffet, also sometimes called Load Factor Buffet or G Buffet, is caused by the beginnings of
separation of airflow over the wing. It can occur in stable, unaccelerated flight at low speed, or be caused by anincrease in angle of attack due to maintaining level flight in a bank, by a turbulence encounter, or by otherwise
pulling more than 1g. As altitude increases the airspeed at which Low Speed Buffet occurs increases.
High Speed Buffet, also sometimes called Mach Buffet, is caused by the separation of smooth airflow over anyportion of the airframe due to the formation of shock waves. This can happen at speeds as low as .77 Mach onsome airplanes. The reason is that the air must accelerate to get around the airplane as it passes by. Although
the airplane is only traveling through the air .77 Mach, the air near the surface of the airframe is movingconsiderably faster. This causes shock wave buildup and flow separation. High Speed Buffet causes a huge
increase in drag and is annoying to the passengers.
High Speed Buffet becomes a concern as altitude increases because high speed buffet speed decreases as
altitude increases.
At a given weight, as altitude increases, the margin between Low and High Speed buffet decreases. Each flight
manual has an Initial Buffet Speeds chart that shows the spread between Low Speed Buffet and High SpeedBuffet for a given weight and altitude. An example is shown in Figure 12, which happens to be from a 737300
with B1 engines. At 105,000 pounds and FL 370, for instance, there is only a 35 knot spread between the twoBuffet limits. The airplane must be operated in this 35 knot range, or a different altitude selected.
BUFFET PROTECTION CRUISE WEIGHT
The Buffet Protection Cruise Weight is limited by various levels of buffet protection. The chart provided in eachflight manual has a range of G level margins (normally 1.2 to 1.6) and shows the maximum weight that will
provide that G margin at cruise speed and the given altitude. On some airplanes the performance limited andBuffet Protection Maximum Cruise Weight charts are combined, with both weight limits shown on the same chart.
STANDARD PERFORMANCE02/01/94Page 28
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
29/64
Figure 12
1.3G BUFFET BOUNDARIESHIGH
LOW(KIAS)
GROSS WEIGHT (1000 POUNDS)
FL
370
80 85263
173
90 95 100 105 110 115 120 125 130259
182
255
188
253
197
250
204
247
212
244
220
350279
170
277
179
273
185
270
192
267
198
264
206
262
214
259
221
257
228
251
238
340286
168
286
177
283
183
279
190
276
196
273
204
271
211
268
218
266
224
263
233
259
241
330292
166
292
176
292
181
288
188
285
194
282
202
279
208
277
217
274
222
272
228
270
235
320299
164
299
174
299
178
299
186
295
193
291
200
288
206
285
214
283
220
281
226
279
232
310306
163
306
172
306
177
306
184
306
192
305
197
301
204
298
212
295
216
292
224
290
230300
312
161
312
171
312
176
312
183
312
188
311
196
308
202
304
209
301
215
299
222
297
228
290319
160
319
169
319
174
319
180
319
187
319
194
318
200
314
207
311
213
308
219
306
225
280326
159
326
166
326
173
326
178
326
186
326
193
326
198
325
205
322
211
318
216
316
222
270333
158
333
165
333
172
333
177
333
184
333
190
333
196
333
203
332
208
328
215
325
221
260340
157
340
164
340
171
340
176
340
183
340
188
340
194
340
202
340
206
339
213
336
218
250347
156
347
163
347
170
347
175
347
181
347
187
347
193
347
200
347
205
347
211
347
216
MAXIMUM CRUISE WEIGHT
Maximum Cruise Weight is the lesser of two weights. The first is the Performance Limited Maximum Cruise
Weight. It provides at least 300 foot per minute rate of climb capability at a given altitude and temperature atmaximum climb thrust. The second is the weight at which Maximum Cruise Thrust will provide level flight at a
cruise speed of either Long Range Cruise (LRC) or standard cruise Mach.
Each flight manual has a Maximum Cruise Weight chart which shows the performance limited weight at a given
altitude and temperature. The basic purpose of this chart is to show the highest usable altitude at a given weight.It does not consider most efficient operating altitude.
The weights may be further restricted to avoid buffet upset problems.
STANDARD PERFORMANCE 02/01/94Page 29
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
30/64
ROUGH AIRSPEED
Rough Airspeed, also called Turbulent Air Penetration airspeed, is the speed to be flown when encounteringturbulence. It is determined by the manufacturer and based on a number of factors. It is greater than Vmin andlow speed 1.3 G buffet and less than Vmo and the high speed 1.3 G buffet. It is selected to allow quick
acceleration from Rough Airspeed to optimum climb speed and is sufficient for a range of weights. On someairplanes, one speed is used for all weights.
OPTIMUM ALTITUDE
For a given weight and cruise speed the altitude which yields the most nautical air miles per pound of fuel
consumed (Specific Range) is called Optimum Altitude. As weight decreases optimum altitude increases. Stepclimbs approximate an optimum altitude profile. The Wind Altitude Trade Tables account for the effect of wind onspecific range, providing the flight crew with guidance for selecting the best cruise altitude for given conditions.
MINIMUM DRAG SPEED
Minimum Drag Speed is the low point on the Drag Curve; the L/D Max speed. This is where the airplane requires
the minimum amount of thrust to stay in the air. Distance traveled is not considered. Going any faster or slowerrequires additional thrust. The Indicated Airspeed (IAS) for L/D Max speed does not change with altitude.
HOLDING SPEED
Technically, the speed of a turbojet associated with minimum fuel flow is less than the speed used for minimumdrag. The reason for this is that a jet engine is more efficient at the slower speed. See Figure 13.
SPEED
Speed ForMinimum Fuel
Speed ForMinimum Drag
Figure 13
It would be ideal to maintain this airspeed when a maximum endurance profile such as holding is desired.However, this speed falls on the back side of the drag curve where speed instability is likely to develop. It is
therefore more desirable to hold at speeds closer to minimum drag. For practical reasons, the holding speedsfound in our flight manual fall on, or slightly faster than, the minimum drag point. This provides speed stability with
negligible effect on fuel consumption.
STANDARD PERFORMANCE02/01/94Page 30
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
31/64
MAX RANGE CRUISE
For any given set of flight conditions, one speed will give the greatest nowind specific range (nautical air milesper 1000 pounds of fuel). This speed is known as Maximum Range Cruise (MRC). Unfortunately on manyairplanes MRC is often speed unstable (meaning that it is difficult to find and maintain in flight).
LONG RANGE CRUISE
Long Range Cruise (LRC) is defined as a speed greater than MRC which provides 99% of the specific range of
MRC. LRC provides almost the same specific range as MRC but is much more speed stable. This makes LRCmuch easier to find and maintain.
ECON CRUISE
Econ Cruise, associated with FMC-equipped airplanes, is dependent on Cost Index to generate a cruise speed. Acost index of 0 yields max range speed. A larger value results in a faster cruise speed. Econ Cruise speeds are a
function of Cost Index, weight, altitude and wind.
NORMAL DESCENTFor each United airplane, a normal descent speed schedule has been defined to reflect UALs time/fuel policy
and comply with ATC restrictions. For airplanes equipped with a flight management computer, this schedule canbe adjusted by changing Cost Index.
ECON DESCENT
Econ Descent calculates a descent speed that yields the lowest total trip cost. It is a function of Cost Index, andapplicable only to airplanes equipped with a Flight Management Computer.
REFERENCE SPEED
At United, Reference Speed, usually called Ref Speed, is the basis for determining approach speed for the
selected flap setting. It comes from the right side of the Takeoff and Landing Data card. Ref speed provides a 1.3stall margin for the selected landing flap setting. Corrected for wind and gust, it becomes Target Speed.
Certain irregularities, such as flap malfunctions, require procedural adjustments to Reference Speed. Once thecorrected Reference Speed is determined, it must then be corrected for Wind and Gust to determine Target
Speed.
STANDARD PERFORMANCE 02/01/94Page 31
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
32/64
TARGET SPEED
Target Speed is the speed at which an approach should be flown. It is Ref Speed plus onehalf the steady stateheadwind component plus the full gust component, up to a maximum of 20 knots correction. In addition, TargetSpeed must not be less than Ref plus five. Thus, Target Speed is always between Ref plus five and Ref plus 20.
AUTOLAND AND AUTOTHROTTLE TARGET SPEED
On airplanes that have Autoland and Autothrottle capability, if bothAutoland andAutothrottle are being used for
landing, Target Speed is Ref Speed plus five regardless of wind. Otherwise normal wind corrections must beapplied.
THRESHOLD SPEED
Threshold Speed is the minimum speed at which an airplane should cross the runway threshold. It is Ref Speedplus the full gust component up to a maximum of 20 knots correction, but no steady state headwind component
correction. Reduction from Target, to threshold speed occurs normally, during the flare. Target speed should bemaintained until the normal transition to landing.
LANDING DISTANCE
Landing Distance is the total distance from 50 feet AGL through the flare, touchdown, and braking to a completestop. It is calculated and demonstrated for the following conditions:
1. A dry, hard surface, level runway with braking action good or better (a wet but grooved runway isconsidered good).
2. No wind.
3. Ref Speed and normal descent rates from 50 feet AGL over the threshold to the flare.
4. Five knots of airspeed loss during the flare.
5. Touchdown 1000 feet down the runway.
6. Spoilers deployed upon touchdown.
7. Reverse thrust not used.
8. Max braking applied two seconds after touchdown.
STANDARD PERFORMANCE02/01/94Page 32
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
33/64
There are three areas where pilot technique has a major impact on total Landing Distance. They are:
1. Threshold crossing height. Of course, its not safe to come in low, butcrossing the threshold above50 feet AGL will significantly lengthen total Landing Distance. For instance, crossing the threshold at100 AGL and maintaining a normal three degree glide path will add about 1000 feet to the Landing
Distance. (However, if you find yourself in this position, do notdump the nose to try to make anormal touchdown point. This is extremely dangerous, and is absolutely forbidden by United policy.Basically, if youre too high to make a normal landing, youre committed to a goaround.)
2. Flare Technique. Crossing the threshold on speed on a three degree glide path at 50 feet
determines a touchdown point about 1000 ft. down the runway. Stretching out the flare trying tomake that perfect grease job landing, increases landing distance and increases the potential for atail strike.
3. Touchdown speed. Once on the ground, stopping consists of dissipating the kinetic energy of the
airplane. In the kinetic energy equation, velocity is squared, weight is not. Therefore, a ten percentincrease in weight causes a ten percent increase in landing roll, but a ten percent increase intouchdown speed causes a 20 percent increase in landing roll. Proper speed control is perhaps the
most critical factor in stopping performance.
A final word on landing distance. Accident records show that most runway departures on rollout did not occurunder runway limited conditions. They happened where there was plenty of runway available. So, what caused
them? Crew complacency or distraction on final, resulting in landing long.
FAR LANDING FIELD LENGTH (DRY)
FAR Landing Field Length (Dry) is Demonstrated Landing Distance plus a specified safety margin. According to
the definition, of the total FAR Landing Field Length (Dry), 60 percent is Landing Distance and 40 percent is therequired safety margin. If you think that a 40 percent margin is overkill, consider this example: Crossing the
threshold only 30 feet high and five knots fast uses up onehalf the 40 percent margin.
Demonstrated Landing Distance
FAR Landing Field Length (Dry)
Additional Margin
Figure 14
50HAT
60% of total 40% of total
DEMONSTRATED LANDING DISTANCE WITH MAXIMUM BRAKING
The Demonstrated Landing Distance with Maximum Braking as shown in the Landing Runway Limit Weight
tables, is available for use inflight to evaluate landing options during abnormal situations. This landing distance is60% of the FAR Landing Field Length and is the minimumstopping distance demonstrated during certification, as
illustrated above.
STANDARD PERFORMANCE 02/01/94Page 33
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
34/64
FARLANDINGFIELDLENGTH(WET)
FAR Landing Field Length (Wet) is 115 percent of FAR Landing Field Length (Dry). No one is saying that it onlytakes 15 percent more runway to stop on a wet runway on a dry. Its just that the dry distance already includes a40 percent margin, and now another 15 percent is added to that.
Demonstrated Landing Distance
FAR Landing Field Length (Dry)
Additional Margin
Figure 15
50HAT
60% of total 40% of total
Additional Margin15%
FAR Landing Field Length (Wet)
A word of caution here. Real world experiences have shown that the number of variables involved in landing on a
wet runway is so large, it is extremely difficult to predict actual landing distance. Things like tire condition, treaddepth, runway texture and condition, and rubber deposits all have an exaggerated effect on a wet runway. TheLanding Distance (wet) charts in the flight manual include some allowance for these variables. However, they are,
like the dry charts, based on maxbraking.
LANDINGSTRUCTURALLIMITWEIGHT
Landing Structural Limit Weight is the maximum weight demonstrated by the manufacturer and certified by theFAA at which the airplane can land at a specified high sink rate without structural damage. Blown tires are not
considered structural damage for the purposes of this limit. The exact sink rate used during the certificationprocess varies from airplane to airplane.
Often the same models of airplanes flown by different airlines have different Landing Structural Limit Weights.This is because some airlines reduce their Landing Structural Limit Weight in order to reduce weightbased
landing fees charged at many airports. United does this on some airplanes.
Keep in mind that nothing precludes the crew from landing the airplane at a weight above the Landing Structural
Limit Weight if this is a safer course of action than remaining airborne with a problem or emergency. The airplanewould, of course, have to be inspected prior to flying again.
STANDARD PERFORMANCE02/01/94Page 34
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
35/64
LANDING RUNWAY LIMIT WEIGHT
Landing Runway Limit Weight is tied very closely to Landing Distance and FAR Landing Field Length. It is,however, adjusted for runway length, pressure altitude, and wind. It is the maximum weight at which the airplanecan cross the threshold at 50 feet AGL at Ref Speed, land 1000 feet down the runway, stop using max braking
with spoilers but no reverse thrust, and still have 40 percent of the runway length remaining. The calculation isbased on the runway being dry with braking action good or better. However, if the runway is wet, or visibility is
less than three quarters of a mile or 4000 RVR, an additional weight penalty is taken. If the runway is both wetand below 4000 RVR, a second additional weight penalty is taken. These weight penalties vary with runway
length, pressure altitude, and airplane type.
The Landing Runway Limit Weights may exceed the Landing Structural Limit Weight. Any procedural adjustments
should be made to Landing Runway Limit Weight.
APPROACH CLIMB LIMIT WEIGHT
FARs require that an airplane on final approach retain the ability to perform a missed approach if one engine fails.After engine failure, the airplane must perform as follows:
1. Goaround thrust selected on the remaining engine(s).
2. Goaround flaps.
3. Landing gear up.
4. Goaround speed must not be greater than 1.5 times the stall speed at the goaround flap setting.
5. The stall speed at the goaround flap setting must not be greater than 1.1 times the stall speed at thelanding flap setting.
6. The minimum climb gradient required on the goaround is 2.1 percent for two engine airplanes, 2.4percent for three engine airplanes, and 2.7 percent for four engine airplanes.
Approach Climb Limit Weight is the maximum weight that will allow the airplane to perform in accordance withthese requirements. On airplanes that cannot dump fuel, Approach Climb Limit Weight can also limit Allowable
Takeoff Gross Weight. This is due to the possibility of an engine failure on takeoff, an emergency return to thedeparture airport, and then a required goaround.
Approach Climb Limit Weight is automatically included under the category: Landing Performance Limit Weight.
STANDARD PERFORMANCE 02/01/94Page 35
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
36/64
LANDING CLIMB LIMIT WEIGHT
FARs also require that a landing airplane retain the ability to go around from the flare on all engines. Theassumptions made in this calculation are as follows:
1. The throttles will be moved from idle to goaround thrust, and the engines will take eight seconds torespond fully.
2. No configuration changes. The goaround will be made, with gear down and landing flaps.
3. The maximum speed on the goaround will be Ref Speed.
4. The climb gradient must be at least 3.2 percent for all airplanes.
Landing Climb Limit Weight is the maximum weight at which the airplane can perform as described above.
LANDING PERFORMANCE LIMIT WEIGHT
Landing Performance Limit Weight is the more restrictive (lower) of Approach Climb Limit Weight and Landing
Climb Limit Weight.
ALLOWABLE LANDING WEIGHT
Allowable Landing Weight is the most restrictive (lightest) of Landing Runway Limit Weight and LandingPerformance Limit Weight. This is the number listed on the flight plan.
Notice that Landing Structural Limit Weight is not one of the factors considered in Allowable Landing Weight.
Since the structural limit does not change from flight to flight, it is assumed that you have this number in mind andwill not land at a heavier weight unless a greater hazard exists by remaining airborne.
Do not confuse Allowable Landing Weight with Landing Limited Takeoff Weight, which doesinclude LandingStructural Limit Weight.
FLIGHT PAPERS
There are two documents needed prior to every flight. They are:
1. Planned Takeoff Data Message which is comprised of the DPWM (Dispatch Planned WeightManifest) and the EPR (N1)/ATOG message.
2. The FPF. This is the Flight Plan for the planned route of flight.
This manual covers the first two parts of the flight papers in detail. The FPF is thoroughly covered in the Flight
Operations Manual.
STANDARD PERFORMANCE02/01/94Page 36
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
37/64
DPWM
DPWM stands for Dispatch Planned Weight Manifest. The example shown below is the one you will use inPerformance Training class.
PLANNED TAKEOFF DATA MESSAGE
DPWM 67916 MAR DEN 1373 373UA IAW AUTO DEN02 KRAS
OEW
PITS
F
R
ZFW
FOB/TAXI
TOG
* SECURITY: NORMAL *
72023
3301
714
15762
91800.......
21500/700 (:16)
113300.......
4....
89....
MTOG
PCT MAC
TRIM
125400
24.3
3.9..........
67916 MAR DEN means this DPWM is for Flight 679 of March 16th departing Denver.
1373 is the United nose number and 373UA is the FAA designated tail number.
IAW AUTO means this DPWM was generated in accordance with the automatic weight and balance computerprogram.
DEN02 KRAS means this DPWM was generated by Denver Load Planner number 2, whos name is Kras.
OEW means Operating Empty Weight. It includes everything on the airplane except passengers, cargo, andfuel. If there is a jumpseat rider, either in the cockpit or in the cabin, their weight is included here along with therest of the crew. In this case, the OEW is 72,023 pounds.
PITS is the weight of cargo in the belly of the airplane. This includes checked baggage. In this case, the total
cargo weight is 3,301 pounds.
F 4.... means that four passengers are planned in the front, or first class section of the airplane. The planned
weight per passenger is based on historical data and varies with airplane type, trip length, city of origin,destination, and time of year. The weight always includes carryon baggage. In this case, the first class cabin
weight is 714 pounds.
R 89.... means that 89 passengers are planned in the rear, or coach section. In this case, aft cabin weight is
15,762 pounds.
ZFW stands for Zero Fuel Weight. It is the weight of the airplane and everything on it, except fuel. In this case,
the ZFW will be 91,800 pounds, which is the sum of the four previous weights.
STANDARD PERFORMANCE 02/01/94Page 37
MN111
REFERENCE HANDBOOK
-
7/30/2019 United (UAL) Performance Manual
38/64
FOB/TAXI stands for Fuel On Board and Taxi fuel. The Fuel On Board is the legal minimum fuel required fortakeoff. Taxi fuel is the extra fuel over and above FOB that is expected to be used during ground operations priorto takeoff. The two amounts are shown separately so that you will know exactly how much fuel you need to
legally take off, but the total fuel boarded must be at least equal to the total of the two amounts. In this case, thefuel required for takeoff is 21,500 pounds and the fuel boarded for ground operations is 700 additional pounds,
which should last for 16 minutes.
TOG stands for Takeoff Gross Weight. It is the planned weight of the airplane at the point of takeoff. Taxi fuel is
not included in this number, so if your ground time has been significantly different than planned, your actualtakeoff weight will be significantly different also.
SECURITY: NORMAL means there are no unusual security considerations for this flight. If something other thanNORMAL appears here, you need to contact Station Operations. An example of other than normal security
would be armed guards escorting a prisoner.
MTOG stands for Maximum Takeoff Gross Weight. The basic definition of MTOG is identical to ATOG (seeDefinitions). The difference, and it is a critical difference, is that MTOG is the predicted ATOGbased onconditions that exist at the time the N1/EPR/ATOG message is generated. The performance program uses the
most optimistic runway and field conditions expected to exist at takeoff time. Thus, MTOG is the highest ATOGyou can reasonably expect to see. If, using the takeoff data portion of the N1/EPR/ATOG message and current
field conditions, you come up with an ATOG that is higher than MTOG, you need to contact Dispatch to resolvethe discrepancy. In line operations, it is normal to come up with a final ATOG that is less than the predicted
MTOG. This is normal, and no further communication is required.
PCT MAC stands for Percent of Mean Aerodynamic Chord. It is the location of the planned center of gravity of
the airplane in terms of a percentage of the total length of the Mean Aerodynamic Chord Line. It is derived fromthe weight and location of the various items loaded on the plane including fuel, crew, galleys, cargo, and
passengers. The number crunching involved in this calculation is done automatically by Uniteds weight andbalance computers, and is not shown on any paperwork ava