FLIGHT OPERATIONS ENGINEERING Alternate Forward CG Limits for Improved Takeoff Performance Dave Anderson PE-201 Operational Performance and Technical Methods February 2010 For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 1 Alternate Forward CG Limits for Improved Takeoff Performance Use of Alternate Forward CG Limits can potentially: • Increase allowable takeoff weight if limited by: – Field Length – Tire Speed – Climb – Brake Energy – Obstacle • Permit greater use of Reduced Thrust – Increase Engine Reliability – Reduce Engine Maintenance Costs For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 2 Alternate Forward CG Limits for Improved Takeoff Performance Agenda: • What are ‘Alternate Forward CG Limits’? • How CG location affects required lift from wing • Resultant takeoff and climb performance effects • Selection of alternate forward CG limits • Example of benefit magnitudes • Implementation considerations • Ordering alternate forward limits For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 3 What are Alternate Forward CG Limits? • Standard takeoff calculations are based on the assumption that takeoff CG is at the forward limit • ‘Alternate Forward CG Limits’ means basing the takeoff performance calculations on a CG that is more aft than the forward limit • The possible improvement in calculated performance is obtained via a reduction in takeoff speeds combined with a decrease in drag For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 4 How CG Location Affects Required Lift from Wing The four basic forces acting on the airplane are: Thrust, Drag, Weight and Lift Center of Gravity (C.G.) Total Airplane Lift Drag Thrust Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 5 How CG Location Affects Required Lift from Wing The primary components of the Total Airplane Lift are the lift produced by the wing… Center of Lift Liftwing Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 6 How CG Location Affects Required Lift from Wing The primary components of the Total Airplane Lift are the lift produced by the wing… Center of wing lift is aft of the airplane CG, producing a nose-down pitching moment Liftwing Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 7 How CG Location Affects Required Lift from Wing The primary components of the Total Airplane Lift are the lift produced by the wing…minus the downward force required by the horizontal tail to offset the nose-down moment produced by the wing lift Liftwing Lifttail Weight For Training Purposes Only (Tail force required to keep the airplane in “trim”) Copyright © 2010 Boeing. All rights reserved 8 How CG Location Affects Required Lift from Wing For an airplane in stabilized flight the total airplane lift equals the wing lift plus the (negative) tail down load Total Lift = Weight = Lift wing + Lift tail Liftwing Lifttail Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 9 How CG Location Affects Required Lift from Wing Moving the airplane CG forward will require an increase in the downward force from the horizontal stabilizer to balance the airplane… Liftwing Lifttail Lift tail Weight Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 10 How CG Location Affects Required Lift from Wing Moving the airplane CG forward will require an increase in the downward force from the horizontal stabilizer to balance the airplane…and a corresponding increase in wing lift to maintain the same total airplane lift Liftwing Liftwing Lifttail Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 11 How CG Location Affects Required Lift from Wing Conversely, moving the airplane CG aft will require a decrease in the downward force from the horizontal stabilizer to balance the airplane… Liftwing Lift Lifttail tail Weight Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 12 How CG Location Affects Required Lift from Wing Conversely, moving the airplane CG aft will require a decrease in the downward force from the horizontal stabilizer to balance the airplane…and a corresponding decrease in wing lift to maintain the same total airplane lift Liftwing Lifttail Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 13 How CG Location Affects Required Lift from Wing If less lift is required from the wing at aft CG in order to produce the same total airplane lift: • At a constant angle of attack the required total airplane lift can be produced at a slower speed • At a constant speed, the required total airplane lift can be produced at a lower wing angle of attack Liftwing Lifttail Weight For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 14 Alternate Forward CG Limits for Improved Takeoff Performance If less lift is required from the wing at aft CG in order to produce the same total airplane lift: • At a constant angle of attack the required total airplane lift can be produced at a slower speed Reduced speed results in a shorter required field length 8000 ft Benefit: Takeoff on shorter field length, or with more reduced thrust, or at an increased gross weight for given field For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 15 Alternate Forward CG Limits for Improved Takeoff Performance If less lift is required from the wing at aft CG in order to produce the same total airplane lift: • At a constant speed, the required total airplane lift can be produced at a lower wing angle of attack Liftwing Reduced angle of attack results in less drag, and better climb capability Lifttail Weight Benefit: possible increased takeoff gross weight when climb or obstacle limited. For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 16 Requirements on Minimum Allowable Takeoff Speeds V1 VR VLOF V2 35 Feet Available Runway Length > V1(MCG) < VR < V1MBE > 1.05 VMCA > 1.05 VMU (EO) > 1.10 VMU (AE) V2 > 1.13 VS1-G VLOF > 1.05 VMU (EO) VLOF > 1.10 VMU (AE) > 1.13 VS1-G ( or, > 1.2 VSFAR) > 1.10 VMCA FAR requirements on minimum allowable takeoff speeds For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 17 Takeoff Speed Determination Boeing determines VR and V2 as functions of takeoff flap, thrust, and weight: • Minimum unstick based speed schedule sets minimum VR required to meet minimum VLOF • Stall speed based speed schedule - sets minimum VR required to meet minimum V2 • Other - tail clearance considerations, VMCA For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 18 VMU - Minimum Unstick Speed • VMU is the minimum speed at which the airplane can fly at its maximum allowable angle of attack during the ground roll • VMU is a function of: – Takeoff flap – Thrust – Weight • VMU is used in determining the minimum allowable rotation speed required to meet VLOF requirements For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 19 Minimum Allowable V2 is Based on Stall Speed • VStall is the minimum speed in the air at which the airplane can generate enough lift to support the airplane; defines the maximum CL capability • FAR 25.107(b) V2 MIN, in terms of calibrated airspeed, may not be less than -– 1.13VS1-g for 1-G stall certifications – 1.2 VS for FAR stall certifications – 1.10 times VMCA established under Sec. 25.149 • VStall is used in determining the minimum allowable rotation speed required to meet V2 requirements For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 20 Other Takeoff Speed Selection Criteria Boeing-required aft body ground clearance: – Examples 757-300, 737NG’s at flaps 1 and 5, 767-400, 777-300 etc. – In these examples VR and V2 are increased above the FAR minimum allowable for VMU and VStall based speed schedules because of desired tail clearance margin – Related to VMU requirements because imposes maximum allowable body attitudes on takeoff and landing For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 21 Takeoff Speeds Calculation • For a given weight, altitude, temperature, flap the takeoff speeds (VR and V2) are calculated based on considering – VMU takeoff speed criteria (or Boeing-selected minimum aft body ground clearance) AND, – Stall speed takeoff speed criteria • Higher of the two criteria is the most limiting and becomes the speed which is published and used in takeoff calculations For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 22 Takeoff Speed Determination • Long aft body airplanes are typically limited by VMU takeoff speed criteria • Shorter aft body airplanes are typically limited by stall takeoff speed criteria • Most airplanes have some flaps VMU limited and some stall speed limited For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 23 Lift as a Function of Angle of Attack – the Lift Curve • Lift coefficient increases as angle of attack increases until an angle of attack is reached where the airflow over the wing can no longer stay attached and begins to separate • At greater angles of attack this separation increases until eventually the wing reaches its stall angle of attack increased separation CL max Airflow in a stalled condition: Lift Coefficient CL flow separation begins angle of maximum lift angle of zero lift (-) 0 (+) Airplane Angle of attack (α) For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 24 Lift as a Function of Angle of Attack – the Lift Curve Lift Coefficient + - CL Max Lift @ αMax Lift 0 Angle of Attack (AOA) For Training Purposes Only Copyright © 2010 Boeing. All rights reserved + 25 Speed as a Function of Lift Coefficient Basic Lift Equation 1 2 L = ρV CLSREF 2 L= lift ρ= rho (air density) V= air velocity (TAS) CL= coefficient of lift SREF= wing area In level flight the speed required to produce a given amount of lift is: V = Weight 1 ρCL SREF 2 For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 26 Speed as a Function of Lift Coefficient In level flight, stall speed (Vs) is then: VS = Weight 1 ρCL S SREF 2 CLMAX For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 27 Lift as a Function of Angle of Attack – the Lift Curve • A further aft CG shifts the lift curve upward at all angles of attack • The field length benefit comes from a reduction in speed required to produce a given amount of lift at a given angle of attack CL max Body attitude-limited angle of attack (VMU) Airplane Lift Coefficient CL (-) 0 Stall angle of attack Aft CG Aft CG Fwd CG limit angle of maximum Lift (+) Airplane Angle of attack (α) For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 28 Alternate Forward CG Limits for Improved Takeoff Performance 180 170 CG assumed for standard takeoff 160 calculations Aft Flight and Landing Limit 150 Fwd Takeoff and Landing Limit 130 120 110 100 90 80 0 Fwd Flight Limit Gross Weight – 1000 LB 140 5 10 15 20 25 30 35 40 Center Of Gravity - % MAC For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 29 Alternate Forward CG Limits for Improved Takeoff Performance 180 CG’s assumed for alternate fwd CG calculations 170 120 110 100 90 80 0 5 10 15 20 25 Aft Flight and Landing Limit Fwd Takeoff and Landing Limit 130 Fwd Flight Limit Gross Weight – 1000 LB 140 Alternate Fwd Takeoff Limit 2 150 Alternate Fwd Takeoff Limit 1 CG assumed for standard takeoff 160 calculations 30 35 40 Center Of Gravity - % MAC For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 30 Speed as a Function of Lift Coefficient With alternate forward CG based speeds: V = Weight 1 ρCL SREF 2 • The CL associated with any given angle of attack (e.g., stall angle of attack, or body-attitude limited angle of attack) increases as CG moves further aft • This CL increase results in lower required speeds to produce a given amount of lift at a given angle of attack (e.g., lower stall speed for a given weight) For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 31 Takeoff Speeds and Takeoff Distance Reductions in VStall and VMU allow reductions in V2 and VLOF, and therefore the VR required V2 ≥ 1.13VS1-G VLOF ≥ 1.05VMU(EO) V2 ≥ 1.2VSFAR VLOF ≥ 1.10VMU(AE) Reductions in VR, VLOF, and V2 will shorten takeoff field length required for a given weight, or increase allowable weight from a given takeoff field length For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 32 Lift as a Function of Angle of Attack – the Lift Curve Another benefit of moving CG further aft is a reduction in the angle of attack required to produce a given amount of lift at a given speed (i.e., a constant CL) Alt fwd CG Airplane Lift Coefficient CL Fwd CG limit 1 2 L = ρV CLSREF 2 (-) 0 (+) Airplane Angle of attack (α) For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 33 Drag as a Function of Angle of Attack (-) it CG Drag Coefficient CD Fw d Airplane Lift Coefficient CL lim Al tF w d CG This reduction in angle of attack results in a reduction in drag at a constant CL 0 Drag reduced (-) (+) Angle of attack (α) 0 (+) Angle of attack (α) Benefit : Reduced Drag For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 34 Alternate Fwd CG Affects Takeoff Climb Gradient Climb gradient (γ) is the ratio of the increase in altitude to the increase in horizontal distance and is normally expressed in terms of percent: Δalt T − D γ= ∝ Δdist W L L T Δ altitude γ Δ distance D W For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 35 Alternate Fwd CG Affects Takeoff Climb Gradient • Further aft CG decreases drag at a constant CL relative to a forward CG • For a fixed speed this reduction in drag will improve the climb gradient Δalt T − D γ= ∝ Δdist W Benefit : Improved Climb Gradient (usually, but not always!…) For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 36 Climb Gradient Versus Speed 2.4% Weight 1 p Im Increasing Weight 2 V2 V2 b im Cl d St Gradient Remember that Increasing Climb Speed (i.e., use of improved climb speeds) may: – Improve climb gradient capability for given weight or, – Allow a higher weight for fixed gradient Speed For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 37 Climb Gradient Versus Speed • Slower, alternate forward CG speeds are like ‘negative’ improved climb • Climb gradient could actually decrease with alternate fwd CG V2, depending on the magnitude of the aft CG drag improvement 2.4% Weight 1 Increasing G 2 dV dC St w tF Al Gradient Improved gradient due to alternate forward CG drag improvement Weight 2 V2 Speed For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 38 757-200/RB211-535E4 (Example Only) Stall speeds for all flap settings are decreased with more aft CG For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 39 757-200/RB211-535E4 (Example Only) Takeoff speeds for all flap settings are decreased with more aft CG For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 40 757-200/RB211-535E4 (Example Only) Field length-limited weight is increased with more aft CG at both Flaps 20… For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 41 757-200/RB211-535E4 (Example Only) …and Flaps 5 For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 42 757-200/RB211-535E4 (Example Only) Climb-limited weight is increased with more aft CG at Flaps 20… For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 43 757-200/RB211-535E4 (Example Only) …but decreased by a small amount for further aft CG’s at Flaps 5 Climb-Limit Weight Decrease For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 44 Climb Gradient Versus Speed Recommendation: Investigate climb gradient differences for your particular airframe/engine combination before assuming any amount of climb gradient benefit does, or does not, exist For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 45 General Benefits Summary Moving the CG aft from the forward limit will: • Permit scheduling of lower takeoff speeds, resulting in shorter field lengths, • Decrease drag at a given speed and weight, improving climb performance at that speed Benefits: Shorter Field Length, Increased Climb Capability, possible increase in allowable Takeoff Weights For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 46 Selection of Alternate Forward CG Limits • Per FAA AC 25-7A, Chapter 8, Paragraph 240 c. and c.(1)(i) only two alternate forward CG limits may be granted per operator for a particular airplane type and model • It may be possible to select one of those two alternate forward CG limit based on a value that can easily be achieved with no changes to an airline’s current loading procedures... For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 47 Selection of Alternate Forward CG Limits Proposed Limits • Determine an easily attainable alternate FWD CG by evaluation of dispatch loading records 180 170 150 130 120 110 100 90 80 0 Fwd Takeoff and Landing Limit Gross Weight – 1000 LB 140 5 10 15 20 Aft Flight and Landing Limit Alternate Fwd Takeoff Limit 1 160 25 30 35 • Airline may propose this first alternate forward CG choice to their regulatory authority and normally meet it based on no changes to existing loading procedures 40 Center Of Gravity - % MAC For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 48 Selection of Alternate Forward CG Limits An airline might also select an additional, further aft, alternate limit that would require loading procedures that are different from their ‘standard’ procedures in order to further optimize operations for a particularly challenging airport or route For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 49 Selection of Alternate Forward CG Limits Proposed Limits • Airlines may propose two alternate forward c.g. locations to their regulatory authority; the second (further aft) limit may require ‘special’ loading procedures 180 170 120 110 100 90 80 0 5 10 15 20 25 Aft Flight and Landing Limit 130 Fwd Takeoff and Landing Limit Gross Weight – 1000 LB 140 Alternate Fwd Takeoff Limit 2 150 Alternate Fwd Takeoff Limit 1 160 30 35 • Consider what takeoff CGs you could reasonably load to with possibly some changes to your standard/normal loading procedures 40 Center Of Gravity - % MAC For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 50 Example of possible benefit obtained by using alternate forward CG limits For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 51 Example Benefit of Alternate Forward CG Field Length Limited Field Length = 5,000 FT (Renton, WA) Example 737-800 Engines = CFM56-7B26 Basic Fwd CG Limit = 6% MAC Runway = Dry Wind = No Wind Altitude = Sea Level OAT = 15C Slope = Zero Takeoff Flaps = 25 Landing Flaps = 40 No Improved Climb Balanced V1 MTOW = 78,244 KG MLW = 65,317 KG Note: used AFM-DPI for calculation analysis. For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 52 Example Benefit of Alternate Forward CG Takeoff Weight Benefit* ~ kg Fwd Limit 6%MAC Alternate Limit 15%MAC Δ Weight Field Length Limited 63657 64309 652 Climb Limit 76081 76100 19 Brake Energy not limiting not limiting n/a Tire Speed not limiting not limiting n/a Weight Improvement = 652 KG (about 7 Passengers, based upon 90 KG/Pass with carry-on baggage) * Analysis assumes NO obstacles Landing weight increases can often also be obtained (due to same effects that produce takeoff weight increases) Landing Weight Benefit ~ kg Field Length Limited Approach Climb Landing Climb Brake Energy Tire Speed Fwd Limit 6%MAC 60981 81643 81992 not limiting not limiting Alternate Limit 15%MAC 61845 Δ Weight 81689 82053 not limiting 46 61 n/a not limiting n/a 864 Weight Improvement = 864 KG (about 10 Passengers, based upon 90 KG/Pass with carry-on baggage) For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 53 Additional Benefit of Alternate Forward CG Greater allowable thrust reduction Using Alternate Forward CG Limit performance allows greater opportunities for reduced thrust operations, increasing engine reliability and reducing engine maintenance costs. For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 54 Examples of Alternate Forward CG Benefits Model Engines Alt. CG 737-800 CFM56CFM56-7B27 15% 757-300 RB211RB211-535E4 14% 777-200ER GE90GE90-94B 23% 767-300ER CF6CF6-80C2B7F 19% 747-400 CF6CF6-80C2B5F 20% Δ Wt(KG)/ Δ OAT Δ Reduce Pax** Pax** /Flex Temp Thrust +20C -1.5% +20C -2.0% +20C -1.5% +30C -2.0% +30C -3.0% 500 KG/ 6 Pax 900 KG/ 10 Pax 1600 KG/ 18 Pax 2100 KG/ 23 Pax 4800 KG/ 53 Pax **Example Δ weight only; actual Δ weight will depend on specific conditions For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 55 Implementation Considerations • No modifications are required of either inservice or future airplanes to take advantage of this takeoff performance improvement • Requires purchase of AFM appendix or AFM-DPI Authorized Alternate Performance Capability For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 56 Implementation Considerations To implement Alternate Forward CG Limits it is important to: • Maintain good Weight and Balance records • Revise AFM and Weight and Balance Manual • Revise Loading System • Provide necessary training for flight, ground, and dispatch crew to ensure accurate loading and calculations • Implement Dispatch, Flight Planning, and Loading procedures • Understand how to obtain Alternate CG data from: – AFM or AFM-DPI – Operational Software: BPS/STAS/BTM/BTOPS – Onboard Performance Software: BLT/OPT For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 57 Implementation Considerations When selecting Alternate Forward CG Limit values, it is important to: • Consider interior configuration, number of passenger classes, location of galleys, cargo loading policies • Review Load Planning records to establish existing loading patterns • Evaluate whether a more aft CG can be obtained by changing existing loading procedures • Account appropriately for effect of curtailment as with any forward takeoff CG limit! For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 58 Implementation Considerations When using Alternate Forward CG Limits: • Data provided by ground operations and dispatch takes precedence over that shown by any onboard system (e.g. FMC takeoff speeds) other than an on-board calculation tool such as OPT that can account for alternate FWD CG effects Operational Data: • Dispatchers and Flight Crew must have Runway Analysis data available for each of the optional forward cg limit values they may select for the takeoff, either via paper, transmitted from ground calculations, OPT, or some other on-board calculation tool For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 59 Ordering of Alternate Forward CG Limits Contact Boeing “Technical Services and Modifications” with your request: • Phone: 206-655-2602 • FAX: 206-766-5213 • E-mail: [email protected] Order on-line via “Flight Technical Services” catalog on myboeingfleet.com For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 60 Ordering via FTS Catalog on mbf.com From the mbf home page select FTS catalog For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 61 Ordering via FTS Catalog on mbf.com Select ‘New Order’ My Airline’ Airline’s Name For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 62 Ordering via FTS Catalog on mbf.com My Airline’ Airline’s Name Select Alternate Fwd Center of Gravity For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 63 Ordering via FTS Catalog on mbf.com My Airline’ Airline’s Name Select ‘continue’ Select Model Select Desired Serial Numbers For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 64 Ordering via FTS Catalog on mbf.com My Airline’ Airline’s Name Select ‘continue’ Input desired alternate forward CG’s For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 65 Ordering via FTS Catalog on mbf.com My Airline’ Airline’s Name Select ‘continue’ and follow instructions for submitting final ordering information For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 66 Summary Alternate Forward CG Limits can potentially: • Increase allowable takeoff weight if limited by: – Field Length – Climb – Obstacle • Permit greater use of Reduced Thrust – Increase Engine Reliability – Reduce Engine Maintenance Costs For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 67 FLIGHT OPERATIONS ENGINEERING End of Alternate Forward CG Limits for Improved Takeoff Performance PE-201 Operational Performance and Technical Methods February 2010 For Training Purposes Only Copyright © 2010 Boeing. All rights reserved 68
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