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Weight and Balance
2
33
Lesson ObjectivesLesson ObjectivesAt the conclusion of this lesson you will…At the conclusion of this lesson you will… Understand why weight and balance is critical Understand why weight and balance is critical
to safety of flightto safety of flight Be familiar with the terms associated with Be familiar with the terms associated with
weight and balanceweight and balance Be familiar with the methods of calculating Be familiar with the methods of calculating
weight and balanceweight and balance Understand the effect weight and balance has Understand the effect weight and balance has
on aircraft performanceon aircraft performance
4
55
Importance of Weight and Importance of Weight and BalanceBalance
Aircraft are designed to be operated Aircraft are designed to be operated within specific Center of Gravity limits.within specific Center of Gravity limits.
Wings can only produce so much lift. Wings can only produce so much lift. Weight in excess of what the wing is Weight in excess of what the wing is designed to carry is hazardous.designed to carry is hazardous.
Increases in weight also effect the Increases in weight also effect the general performance.general performance.
66
Weight TermsWeight Terms
Empty AircraftEmpty Aircraft– Standard Empty Weight – weight of a standard Standard Empty Weight – weight of a standard
airplane including unusable fuel, full operating airplane including unusable fuel, full operating fluids and full oilfluids and full oil
– Basic Empty WeightBasic Empty Weight – Standard Empty Weight – Standard Empty Weight plus optional equipmentplus optional equipment Starting Point of Weight and BalanceStarting Point of Weight and Balance
7
88
Weight TermsWeight Terms
FuelFuel– Usable Fuel – fuel which can be used for flight Usable Fuel – fuel which can be used for flight
planningplanning– Unusable Fuel – fuel which cannot be use in Unusable Fuel – fuel which cannot be use in
flight due to fuel tank designflight due to fuel tank design
– 6 lbs per gallon6 lbs per gallon
99
Weight TermsWeight Terms Useful Load – total usable fuel, Useful Load – total usable fuel,
passengers, and cargopassengers, and cargo– Maximum Ramp Weight – Basic Empty Weight = Useful LoadMaximum Ramp Weight – Basic Empty Weight = Useful Load
Payload – passengers and cargoPayload – passengers and cargo– What essentially could be revenue generatingWhat essentially could be revenue generating
1010
Weight TermsWeight Terms
Loaded AircraftLoaded Aircraft– Maximum Ramp Weight Maximum Ramp Weight
Maximum allowable mass for ground operationsMaximum allowable mass for ground operations Assures ground maneuverabilityAssures ground maneuverability Includes fuel for taxi, run-up and startIncludes fuel for taxi, run-up and start
– Maximum Takeoff Weight Maximum Takeoff Weight Maximum allowable mass for initiation of takeoff rollMaximum allowable mass for initiation of takeoff roll Failure to meet weight…Failure to meet weight…
– Maximum Landing Weight Maximum Landing Weight Maximum allowable mass at touchdownMaximum allowable mass at touchdown Generally limitation of landing gear Generally limitation of landing gear
– Baggage Compartment LimitsBaggage Compartment Limits Could cause structural failure in floorCould cause structural failure in floor
11
1212
Balance TermsBalance Terms
Weight Weight – Force that acts straight down to the center of Force that acts straight down to the center of
the Earththe Earth– Not always constantNot always constant
Decreases with fuel burnDecreases with fuel burn
1313
Balance TermsBalance Terms
Reference Datum Reference Datum – Reference base for location of componentsReference base for location of components– Imaginary vertical planeImaginary vertical plane– Location specified from manufacturerLocation specified from manufacturer– Lies on longitudinal axisLies on longitudinal axis
– Ex. 78.4 inches from wing leading edgeEx. 78.4 inches from wing leading edge
1414
Balance TermsBalance Terms
Arm Arm – Distance from the datum measured along the Distance from the datum measured along the
longitudinal axislongitudinal axis If located in front of datum, negativeIf located in front of datum, negative If located in back of datum, positiveIf located in back of datum, positive
1515
Balance TermsBalance Terms
Moment Moment – Weight multiplied by its armWeight multiplied by its arm– Tendency of a mass to cause a rotation about Tendency of a mass to cause a rotation about
the Center of Gravitythe Center of Gravity– Force acting at that pointForce acting at that point
1616
Balance TermsBalance Terms
Center of Gravity (CG)Center of Gravity (CG)– Point of a mass through which gravity actsPoint of a mass through which gravity acts– Point where aircraft would balance if suspendedPoint where aircraft would balance if suspended– Point where all three axis interceptPoint where all three axis intercept– Divide total moment of aircraft by weight of Divide total moment of aircraft by weight of
aircraftaircraft
1717
Basic W&B RelationshipsBasic W&B Relationships
For the next few examples…For the next few examples…• The seesaw is synonymous with the aircraft.The seesaw is synonymous with the aircraft.• The people are synonymous with the weight of fuel, The people are synonymous with the weight of fuel,
equipment, passengers, etc…equipment, passengers, etc…• The fulcrum can be thought of as lift, supporting the The fulcrum can be thought of as lift, supporting the
entire mass.entire mass.• The datum can be considered the nose of the aircraft.The datum can be considered the nose of the aircraft.
1818
Basic W&B MathBasic W&B Math
Moment = Weight X ArmMoment = Weight X Arm Center of Gravity =Center of Gravity =
Basic Empty WeightBasic Empty Weight + Payload + Payload + Usable Fuel+ Usable Fuel =Ramp Weight=Ramp Weight - Fuel used for start, taxi and run-up- Fuel used for start, taxi and run-up = Takeoff Weight= Takeoff Weight - Fuel used for flight- Fuel used for flight = Landing Weight= Landing Weight
Sum of All Moments
Gross Weight
1919
Basic W&B RelationshipsBasic W&B Relationships Balanced ConditionBalanced Condition
2020
Basic W&B RelationshipsBasic W&B Relationships Unbalanced ConditionUnbalanced Condition
2121
Basic W&B RelationshipsBasic W&B Relationships
Forces Acting on an Aircraft in FlightForces Acting on an Aircraft in Flight
www.aero.und.eduwww.aero.und.edu/multimedia/multimedia
Center of Gravity Center of Gravity forward of Center of forward of Center of PressurePressure
Downward force Downward force produced at tail to produced at tail to stabilize interaction stabilize interaction of lift and weightof lift and weight
2222
Basic W&B RelationshipsBasic W&B Relationships
Center of Gravity LimitsCenter of Gravity Limits
2323
Results of Aircraft OverloadingResults of Aircraft Overloading
Stall Speed Stall Speed Increases Increases Takeoff and Landing Distance Takeoff and Landing Distance Increases Increases Climb Rate Climb Rate Reduced Reduced Cruise Speed Cruise Speed Reduced Reduced Fuel Consumption Fuel Consumption Greater Greater Range and Endurance Range and Endurance Reduced Reduced Stability Stability Increased Increased
2424
Results of a Forward CGResults of a Forward CG Longitudinal Stability becomes excessiveLongitudinal Stability becomes excessive
– Rotation and Flare are more difficultRotation and Flare are more difficult
Takeoff Roll Takeoff Roll Increased Increased Cruise Speed Cruise Speed Decreased Decreased
– A greater tail down force must be produced. This is done A greater tail down force must be produced. This is done aerodynamically, increasing drag.aerodynamically, increasing drag.
Climb Rate Climb Rate Reduced Reduced Range and Endurance Range and Endurance Reduced Reduced Stall Speed Stall Speed Increased Increased
2525
Effects of an Aft CGEffects of an Aft CG
Takeoff Roll Takeoff Roll Reduced Reduced– Tendency to Over-RotateTendency to Over-Rotate
Cruise Speeds Cruise Speeds Increased Increased– Less tail down force, is less dragLess tail down force, is less drag
Climb Rates Climb Rates Increased Increased Fuel Consumption Fuel Consumption Decreased Decreased Range and Endurance Range and Endurance Increased Increased Stall Speeds Stall Speeds Reduced Reduced
– Recovery hindered due to nose up tendencyRecovery hindered due to nose up tendency
Weight and Balance Weight and Balance DocumentationDocumentation
2727
POH Section 6POH Section 6
Section 6 contains…Section 6 contains…– Weight and Balance Calculation procedure for Weight and Balance Calculation procedure for
the aircraftthe aircraft– Basic Empty Weight and Moment of the aircraftBasic Empty Weight and Moment of the aircraft– Changes to the Weight and BalanceChanges to the Weight and Balance
2828
Weight & Weight & Balance - Balance -
Equipment List Equipment List RevisionRevision
Weight & Weight & Balance - Balance -
Equipment List Equipment List RevisionRevision
CENTER FOR AEROSPACE SCIENCES UNIVERSITY OF NORTH DAKOTA
WEIGHT AND BALANCE, AND EQUIPMENT LIST REVISION
AIRCRAFT MODEL N SERIAL NO. DATE
AMOUNT
NAME CERTIFICATE NO.
E.W.
PREVIOUS EMPTY AIRPLANE TOTAL ADDED OR SUBTRACTED REVISED EMPTY AIRPLANE USEFUL LOAD
DESCRIPTION WEIGHT (LB)
ARM (IN)
MOMENT
C.G. MOMENT
Jim Gilstad OGSR092N
PA 28-161 142 ND
2841229 5-1-94
1 Fire Extinguisher +2.7 57.9 +156
1464.4
+2.7
1467.1
85.0
804.9
85.0
124469.5
+156.0
124625.5
2929
Weight & Balance - Weight & Balance - Equipment List RevisionEquipment List Revision
Weight & Balance - Weight & Balance - Equipment List RevisionEquipment List Revision
NAME CERTIFICATE NO.
E.W. C.G. MOMENT
PREVIOUS EMPTY AIRPLANE
TOTAL ADDED OR SUBTRACTED
REVISED EMPTY AIRPLANE
USEFUL LOAD Jim Gilstad OGSR092N
1464.4
+2.7
1467.1
85.0
804.9
85.0
124469.5
+156.0
124625.5
3030
CENTER FOR AEROSPACE SCIENCES UNIVERSITY OF NORTH DAKOTA
WEIGHT AND BALANCE, AND EQUIPMENT LIST REVISION
AIRCRAFT MODEL N SERIAL NO. DATE
AMOUNT
NAME CERTIFICATE NO.
E.W.
PREVIOUS EMPTY AIRPLANE TOTAL ADDED OR SUBTRACTED REVISED EMPTY AIRPLANE USEFUL LOAD
DESCRIPTION WEIGHT (LB)
ARM (IN)
MOMENT
C.G. MOMENT
Jim Gilstad OGSR092N
PA 28-161 142 ND
2841229 5-1-94
1 Fire Extinguisher -2.7 57.9 -156
1467.1
-2.7
1464.4
84.9
867.6
1
124625.5
-156.0
124469.5
SUPERCEDED 5-1-94
Weight & Weight & Balance - Balance -
Equipment List Equipment List RevisionRevision
Weight & Weight & Balance - Balance -
Equipment List Equipment List RevisionRevision
Weight and Balance Weight and Balance CalculationCalculation
3232
Weight & Balance Weight & Balance ComputationsComputations
Weight & Balance Weight & Balance ComputationsComputations
Weight and balance informationWeight and balance information Weight and balance formulasWeight and balance formulas Weight shift formulasWeight shift formulas Weight and balance problem set upWeight and balance problem set up
Weight and balance informationWeight and balance information Weight and balance formulasWeight and balance formulas Weight shift formulasWeight shift formulas Weight and balance problem set upWeight and balance problem set up
3333
Weight & Balance Weight & Balance ComputationsComputations
Weight & Balance Weight & Balance ComputationsComputations
Weight Shift FormulasWeight Shift FormulasWeight Shift FormulasWeight Shift Formulas
3434
Miscellaneous W&B SolutionsMiscellaneous W&B Solutions Weight ShiftWeight Shift
Weight to be MovedWeight to be Moved Distance CG MovesDistance CG Moves
Gross Weight Distance Weight Moves
Weight Addition / DeletionWeight Addition / DeletionWeight to be Added/RemovedWeight to be Added/Removed Distance CG MovesDistance CG Moves
New Aircraft Gross Weight Distance Weight Moves
=
=
3535
Weight & Balance Problem Weight & Balance Problem Set UpSet Up
Weight & Balance Problem Weight & Balance Problem Set UpSet Up
Computation - - Piper WarriorComputation - - Piper Warrior Computation - - Cessna P210Computation - - Cessna P210 Graph - - Piper ArrowGraph - - Piper Arrow Table - - Beech B33 DebonairTable - - Beech B33 Debonair
Computation - - Piper WarriorComputation - - Piper Warrior Computation - - Cessna P210Computation - - Cessna P210 Graph - - Piper ArrowGraph - - Piper Arrow Table - - Beech B33 DebonairTable - - Beech B33 Debonair
3636
Computation MethodComputation Method
This method uses the basic weight and This method uses the basic weight and balance formula to determine center of balance formula to determine center of gravity.gravity.
This method can be used for most aircraft.This method can be used for most aircraft. Extremely accurate, less arithmetic errors.Extremely accurate, less arithmetic errors.
3737
Computation MethodComputation Method
ProcedureProcedure1.1. Determine the Basic Empty Weight of the aircraft.Determine the Basic Empty Weight of the aircraft.
2.2. Find the moment of each weight to be carried.Find the moment of each weight to be carried.
3.3. Add all moments and all weights.Add all moments and all weights.
4.4. Divide the total moment by the total weight. This Divide the total moment by the total weight. This number is your Center of Gravitynumber is your Center of Gravity
5.5. Compare this number to the CG limits for the aircraft.Compare this number to the CG limits for the aircraft.
3838
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
For our first For our first problem, we problem, we use a weight use a weight and balance and balance form for a form for a Piper Piper Warrior.Warrior.
For our first For our first problem, we problem, we use a weight use a weight and balance and balance form for a form for a Piper Piper Warrior.Warrior.
3939
Step 1Step 1– find the zero fuel conditionfind the zero fuel condition
Step 1Step 1– find the zero fuel conditionfind the zero fuel condition
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
4040
Piper WarriorPiper WarriorPiper WarriorPiper Warrior
Weight Arm Weight Arm MomentMoment (lbs.) (in.) (lbs.) (in.) (lbs.-in.)(lbs.-in.)
Basic Empty WeightBasic Empty Weight 1,500 1,500 128,850128,850
Weight Arm Weight Arm MomentMoment (lbs.) (in.) (lbs.) (in.) (lbs.-in.)(lbs.-in.)
Basic Empty WeightBasic Empty Weight 1,500 1,500 128,850128,850
4141
Piper WarriorPiper WarriorPiper WarriorPiper Warrior
Weight Arm MomentWeight Arm Moment
(lbs.)(lbs.) (in.) (lbs.-in.) (in.) (lbs.-in.)
Basic Empty WeightBasic Empty Weight 1,500 1,500 128,850128,850
Pilot, Front Passengers 340Pilot, Front Passengers 340 80.5 27,370 80.5 27,370
Rear PassengersRear Passengers 340 340 118.1 40,154 118.1 40,154
Weight Arm MomentWeight Arm Moment
(lbs.)(lbs.) (in.) (lbs.-in.) (in.) (lbs.-in.)
Basic Empty WeightBasic Empty Weight 1,500 1,500 128,850128,850
Pilot, Front Passengers 340Pilot, Front Passengers 340 80.5 27,370 80.5 27,370
Rear PassengersRear Passengers 340 340 118.1 40,154 118.1 40,154
4242
Piper WarriorPiper WarriorPiper WarriorPiper Warrior
Weight Arm MomentWeight Arm Moment
(lbs.)(lbs.) (in.) (lbs.-in.) (in.) (lbs.-in.)
Basic Empty WeightBasic Empty Weight 1,500 1,500 128,850 128,850
Pilot, Front Passengers 340Pilot, Front Passengers 340 80.5 27,370 80.5 27,370
Rear PassengersRear Passengers 340 340 118.1 40,154 118.1 40,154
Baggage (200 lb. Max) Baggage (200 lb. Max)
Zero Fuel ConditionZero Fuel Condition 2,1802,180 196,374196,374
Weight Arm MomentWeight Arm Moment
(lbs.)(lbs.) (in.) (lbs.-in.) (in.) (lbs.-in.)
Basic Empty WeightBasic Empty Weight 1,500 1,500 128,850 128,850
Pilot, Front Passengers 340Pilot, Front Passengers 340 80.5 27,370 80.5 27,370
Rear PassengersRear Passengers 340 340 118.1 40,154 118.1 40,154
Baggage (200 lb. Max) Baggage (200 lb. Max)
Zero Fuel ConditionZero Fuel Condition 2,1802,180 196,374196,374
4343
Step 2Step 2– find the ramp condition and takeoff find the ramp condition and takeoff
conditioncondition
– determine that it is within limitsdetermine that it is within limits
Step 2Step 2– find the ramp condition and takeoff find the ramp condition and takeoff
conditioncondition
– determine that it is within limitsdetermine that it is within limits
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
4444
Piper WarriorPiper WarriorPiper WarriorPiper Warrior
WeightWeight Arm Arm Moment Moment
(lbs.)(lbs.) (in.) (in.) (lbs.-in.) (lbs.-in.)
Zero Fuel ConditionZero Fuel Condition 2,180 2,180 196,374 196,374
Fuel (48 gallons max)Fuel (48 gallons max) 267 267 95 95 25,365 25,365
Ramp ConditionRamp Condition 2,4472,447 221,739221,739
Taxi, start, runup fuelTaxi, start, runup fuel - 7 - 7 95 95 - 665 - 665
Takeoff condition Takeoff condition 2,4402,440 90.6 221,074 90.6 221,074
WeightWeight Arm Arm Moment Moment
(lbs.)(lbs.) (in.) (in.) (lbs.-in.) (lbs.-in.)
Zero Fuel ConditionZero Fuel Condition 2,180 2,180 196,374 196,374
Fuel (48 gallons max)Fuel (48 gallons max) 267 267 95 95 25,365 25,365
Ramp ConditionRamp Condition 2,4472,447 221,739221,739
Taxi, start, runup fuelTaxi, start, runup fuel - 7 - 7 95 95 - 665 - 665
Takeoff condition Takeoff condition 2,4402,440 90.6 221,074 90.6 221,074
4545
4646
Step 3Step 3– find the landing conditionfind the landing condition
Step 3Step 3– find the landing conditionfind the landing condition
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
4747
Piper WarriorPiper WarriorPiper WarriorPiper Warrior
WeightWeight Arm Arm MomentMoment
(lbs.)(lbs.) (in.) (in.) (lbs.- (lbs.-in.)in.)
Takeoff conditionTakeoff condition 2,440 90.6 221,074 2,440 90.6 221,074
Cruise fuel (30 gallons) -180Cruise fuel (30 gallons) -180 95.0 -17,100 95.0 -17,100
Landing conditionLanding condition 2,2602,260 90.25 203,974 90.25 203,974
WeightWeight Arm Arm MomentMoment
(lbs.)(lbs.) (in.) (in.) (lbs.- (lbs.-in.)in.)
Takeoff conditionTakeoff condition 2,440 90.6 221,074 2,440 90.6 221,074
Cruise fuel (30 gallons) -180Cruise fuel (30 gallons) -180 95.0 -17,100 95.0 -17,100
Landing conditionLanding condition 2,2602,260 90.25 203,974 90.25 203,974
4848
Step 4Step 4– confirm that landing weight & C.G. fall confirm that landing weight & C.G. fall
within limitswithin limits
Step 4Step 4– confirm that landing weight & C.G. fall confirm that landing weight & C.G. fall
within limitswithin limits
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
Weight & Balance - Weight & Balance - Piper WarriorPiper Warrior
4949
5050
Weight & Balance - Cessna Weight & Balance - Cessna P210P210
Weight & Balance - Cessna Weight & Balance - Cessna P210P210
Computation Method
5151
Cessna P210Cessna P210
BEW: 2,632 lbs. (Moment 109,000)BEW: 2,632 lbs. (Moment 109,000) Front Seat (170 lbs.)Front Seat (170 lbs.) Center Seat (160 and 150 lbs)Center Seat (160 and 150 lbs) Aft Seat (200 and 170 lbs)Aft Seat (200 and 170 lbs) Baggage Area A (150 lbs)Baggage Area A (150 lbs) Baggage Area B (0)Baggage Area B (0)
5252
102
5353
Zero Fuel ConditionZero Fuel ConditionItemItem WeightWeight ArmArm MomentMoment
BEWBEW 26322632 109000109000
Front SeatFront Seat 170170 3737 62906290Center SeatCenter Seat 310310 7171 2201022010
Aft SeatAft Seat 370370 102102 3774037740
Baggage ABaggage A 150150 138138 2070020700
Zero-FuelZero-Fuel 36323632 53.8953.89 195740195740
5454
Ramp ConditionRamp Condition
Add 64 gallons of fuelAdd 64 gallons of fuel
ItemItem WeightWeight ArmArm MomentMoment
Zero-FuelZero-Fuel 36323632 53.8953.89 195740195740
FuelFuel 384384 4343 1651216512Ramp WeightRamp Weight 40164016 52.8552.85 212252212252
5555
Takeoff ConditionTakeoff Condition
Run-up minus 16 lbs of fuelRun-up minus 16 lbs of fuel
ItemItem WeightWeight ArmArm MomentMomentRamp WeightRamp Weight 40164016 52.8552.85 212252212252
Run-upRun-up -16-16 4343 -688-688
TakeoffTakeoff 40004000 52.8952.89 211564211564
5656
5757
5858
Shift a PassengerShift a Passenger
Move the 200 pound passenger from the aft Move the 200 pound passenger from the aft seat to the front seat.seat to the front seat.
EquationEquation– Weight MovedWeight Moved Distance CG MovesDistance CG Moves– Total WeightTotal Weight Distance between CG LocationDistance between CG Location
5959
– Weight MovedWeight Moved Distance CG MovesDistance CG Moves– Total WeightTotal Weight Distance between CG Distance between CG
LocationLocation
200 lbs200 lbs ?????????????????????????????????????? 4000 lbs4000 lbs (102-37) 65’(102-37) 65’
(65 x 200)/4000(65 x 200)/4000 13000/4000 = 3.2513000/4000 = 3.25
52.89 – 3.25 = 49.6452.89 – 3.25 = 49.64
6060
6161
Fuel BurnFuel Burn
2.5 hour flight at 20 gallons per hour2.5 hour flight at 20 gallons per hour
ItemItem WeightWeight ArmArm MomentMoment
TakeoffTakeoff 40004000 49.6449.64 198560198560
Fuel BurnFuel Burn (2.5 x 20 x 6)(2.5 x 20 x 6)
-300-3004343 -12900-12900
LandingLanding 37003700 50.1850.18 185660185660
6262
6363
ExampleExample
BEWBEW 26322632 109000109000 Front Seat Front Seat 150 + 210150 + 210 Center SeatCenter Seat 190190 Aft SeatAft Seat 150 + 190150 + 190 Baggage ABaggage A 1010 Baggage BBaggage B 2525
6464
Chart MethodChart Method
This method depends on charts provided by the This method depends on charts provided by the manufacturer to determine the moments.manufacturer to determine the moments.
Accuracy of the chart method tends to decrease Accuracy of the chart method tends to decrease as the size of the aircraft increases.as the size of the aircraft increases.
Accuracy in general is generally within a few Accuracy in general is generally within a few hundred pound – inches.hundred pound – inches.
The procedure may vary from aircraft to aircraft.The procedure may vary from aircraft to aircraft.
6565
Chart MethodChart Method
Procedure (General)Procedure (General)1.1. Find the charts provided by the manufacturer Find the charts provided by the manufacturer
in Section 6 of the POH. (These may or may in Section 6 of the POH. (These may or may not be provided)not be provided)
2.2. Correlate the weights to the appropriate chart Correlate the weights to the appropriate chart to determine the moment.to determine the moment.
3.3. Add the moments determined from the charts Add the moments determined from the charts and correlate them to the CG Limit chart.and correlate them to the CG Limit chart.
6666
Weight & Balance -Weight & Balance -Piper ArrowPiper Arrow
Graph Method Graph Method
6767
PA28-R-201 ARROWPA28-R-201 ARROW
BEW - 1774.2 lbs. (moment 147,695.8)BEW - 1774.2 lbs. (moment 147,695.8) Pilot and Front Passenger - 370 lbs.Pilot and Front Passenger - 370 lbs. Rear passenger - 210 lbs.Rear passenger - 210 lbs. Baggage - 100 lbs.Baggage - 100 lbs.
6868
6969
MomentMoment– BEW - 147,695.8BEW - 147,695.8– Front Seat - 30,000Front Seat - 30,000– Back Seat - 25,000Back Seat - 25,000– Baggage - 14,200Baggage - 14,200
ItemItem WeightWeight ArmArm MomentMoment
BEWBEW 1774.21774.2 147695.8147695.8
Front Pas.Front Pas. 370370 3000030000
Rear Pas.Rear Pas. 210210 2500025000
BaggageBaggage 100100 1420014200
Zero FuelZero Fuel 2454.22454.2 88.3888.38 216895.8216895.8
7070
Fuel (72 gallon maximum)Fuel (72 gallon maximum)– 50 gallons 50 gallons
300 lbs.300 lbs. MomentMoment
– 2900029000
7171
ItemItem WeightWeight ArmArm MomentMoment
Zero FuelZero Fuel 2454.22454.2 88.3888.38 216895.8216895.8
FuelFuel 300300 2900029000Ramp WeightRamp Weight 2754.22754.2 245895.8245895.8
Run-upRun-up -8-8 -1000-1000
TakeoffTakeoff 2746.22746.2 89.1789.17 244895.8244895.8
7272
7373
Fuel used in flightFuel used in flight– 3 hours at 11.6 gallons per hour3 hours at 11.6 gallons per hour
34.8 gallons34.8 gallons– 208.8 lbs.208.8 lbs.– Moment - 20,000Moment - 20,000
7474
ItemItem WeightWeight ArmArm MomentMoment
TakeoffTakeoff 2746.22746.2 89.1789.17 244895.8244895.8
FuelFuel -208.8-208.8 -20000-20000
LandingLanding 2537.42537.4 88.6388.63 224895.8224895.8
7575
7676
Problem!Problem!
BEWBEW 17741774 147695147695 Front PaxFront Pax 400400 Rear PaxRear Pax 150150 FuelFuel 200200
Weight and Balance Weight and Balance ComputationComputation
Table MethodTable Method
Beech DebonairBeech Debonair
7878
Table MethodTable Method
This method depends on tables provided by the This method depends on tables provided by the manufacturer.manufacturer.
Moment data is provided for specific weights only.Moment data is provided for specific weights only. Interpolation will be necessary to determine Interpolation will be necessary to determine
weights not specifically listed.weights not specifically listed. Accuracy is generally within a few hundred pound Accuracy is generally within a few hundred pound
– inches.– inches. This procedure may vary from aircraft to aircraft.This procedure may vary from aircraft to aircraft.
7979
Table MethodTable Method
ProcedureProcedure1.1. Find the tabular data provided in Section 6 of Find the tabular data provided in Section 6 of
the POH. (These may or may not be provided)the POH. (These may or may not be provided)2.2. Correlate the weight to the appropriate tables Correlate the weight to the appropriate tables
to determine the moment.to determine the moment.3.3. Add the moments determined from the tables Add the moments determined from the tables
and correlate them to the CG Limit chart.and correlate them to the CG Limit chart.
8080
Beech B33 DebonairBeech B33 Debonair
BEW - 1980 lbs. (Moment 1584)BEW - 1980 lbs. (Moment 1584) Front Seat (Front Seat (Forward 170 lbs. and 200 lbs.)Forward 170 lbs. and 200 lbs.)
Rear Seat (120 lbs. And 130 lbs)Rear Seat (120 lbs. And 130 lbs) Baggage (50 lbs.)Baggage (50 lbs.)
8181
8282
8383
8484
CalculationsCalculationsItemItem WeightWeight ArmArm MomentMoment
BEWBEW 19801980 15841584
Front PaxFront Pax 370370 314314
Rear PaxRear Pax 250250 295295
BaggageBaggage 5050 7070
Zero FuelZero Fuel 26502650 22632263
8585
8686
Adding FuelAdding Fuel
Fuel (64 gallons maximum)Fuel (64 gallons maximum)– 60 gallons60 gallons
360 lbs.360 lbs.
8787
Ramp ConditionRamp Condition
ItemItem WeightWeight ArmArm MomentMoment
Zero FuelZero Fuel 26502650 22632263
FuelFuel 360360 270270Ramp WeightRamp Weight 30103010 25332533
Run-upRun-up -10-10 -8-8Takeoff WeightTakeoff Weight 30003000 25252525
8888
8989
Fuel BurnFuel Burn
3 hour flight (14.7 gallons per hour)3 hour flight (14.7 gallons per hour) 44.1 gallons44.1 gallons
– 264 lbs.264 lbs.
9090
Landing ConditionLanding Condition
ItemItem WeightWeight ArmArm MomentMomentTakeoff WeightTakeoff Weight 30003000 25252525
Fuel flightFuel flight 264264 198198Landing Landing WeightWeight
27362736 23272327
9191
9292
Problem!!Problem!!
BEW BEW 1980 lbs. (Moment 1584)1980 lbs. (Moment 1584) Front Pax (Aft)Front Pax (Aft) 190 And190 And 160160 Rear PaxRear Pax 150150 BaggageBaggage 200200
30 gallons of fuel30 gallons of fuel