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The C-1 Flying Roc:
A Next Generation Military Cargo Transport Aircraft
AE 4351 Design Team 6:
Marsal Bruna
Gautham Kumar
Brandon Liberi
Michael Lopez
Nana Obayashi
Junjie Zhai
April 24, 2015
I certify that I have abided by the honor code of the Georgia Institute of Technology and
followed the collaboration guidelines as specified in the project description for this assignment.
_______________________________________
Marsal Bruna
_______________________________________
Gautham Kumar
_______________________________________
Brandon Liberi
_______________________________________
Michael Lopez
_______________________________________
Nana Obayashi
_______________________________________
Junjie Zhai
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Executive Summary
The next generation strategic airlift military transport proposed in this document is the C-1 Flying
Roc, designed in response to the Request for Proposal (RFP) by the armed forces for an aircraft system
capable of augmenting the overall performance of the current fleet. This modernization to the fleet will
provide major improvements over the current generation of aircraft such as the C-5 Galaxy and the C-17
Globemaster. As per the RFP, this vehicle is to have a 2030 entrance into service (EIS) date.
This aircraft proposal lays out a mission profile for a design payload of 205,000 lb with the capability
to conduct operations with payload weights up to 300,000 lb. The method used for the weight sizing
process is presented along with the considerations made in order to meet specific performance
requirements such as engine inoperative and hot day takeoff conditions. These considerations ensure that
the C-1 can fly in adverse conditions as well as recover and be safely controlled in the event of a failure.
The aircraft has been designed for tactical approaches and landings such that ground track and landing
times are minimized. These characteristics are desirable in order to maximize the efficiency of landing,
loading, and takeoff such that the vehicle can maximize air time and minimize ground time. This
performance has a large impact on the profitability of the aircraft. These efforts also result in a substantial
improvement on the low altitude performance of the current generation military transport fleet which the
armed forces utilize.
The increased performance and flight operations of the next generation strategic air lifter are balanced
with an effective cost and maintainability that is necessary for a modern armed force. The fly-away cost
of $402.1M of the system has been minimized with standard manufacturing and tooling techniques
proven on past aircraft. This is a 22% reduction over the fly-away cost per vehicle of the C-17. In
addition, the operation and support cost of the vehicle has been minimized as this has a large impact on
the lifetime cost of the vehicle. The annual operation and support cost per vehicle is $13.3M, a 29%
reduction over the annual cost of a C-17.
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Table of Contents
Executive Summary..................................................................................................................................................i
Table of Contents.................................................................................................................................................... ii
List of Figures..........................................................................................................................................................v
List of Tables ........................................................................................................................................................ vii
1 Introduction ......................................................................................................................................................1
1.1 Aircraft Summary ....................................................................................................................................1
2 Configuration Selection....................................................................................................................................3
2.1 Figures of Merit Analysis ........................................................................................................................3
2.2 Comparative Study ..................................................................................................................................3
2.3 Chosen Preliminary Configuration ..........................................................................................................5
3 Mission Specification and Decisions................................................................................................................5
3.1 Mission Segments....................................................................................................................................5
3.1.1 Climb ..............................................................................................................................................6
3.1.2 Cruise..............................................................................................................................................6
3.1.3 Takeoff............................................................................................................................................7
3.1.4 Landing ...........................................................................................................................................7
3.1.5 Range ..............................................................................................................................................8
3.2 Mission Profile.........................................................................................................................................8
3.3 Payload Range Charts..............................................................................................................................9
3.4 Stakeholder Analysis .............................................................................................................................10
4 Advanced Technology....................................................................................................................................11
4.1 Geared Turbofan....................................................................................................................................11
4.2 Natural Laminar Flow Airfoil................................................................................................................12
4.3 Composite Materials in Aircraft Design ................................................................................................13
4.4 Spiroid Winglet......................................................................................................................................14
4.5 Weight Sizing Technology Factors........................................................................................................15
5 Weight Sizing.................................................................................................................................................16
5.1 Weight Regression.................................................................................................................................16
5.2 Takeoff Weight Convergence................................................................................................................17
5.3 Drag Polar Convergence........................................................................................................................18
5.4 Sensitivity Studies .................................................................................................................................18
6 Constraint Sizing ............................................................................................................................................21
6.1 Constraint Sizing ...................................................................................................................................21
6.2 Additional Constraints ...........................................................................................................................22
6.3 Preliminary Sizing Results.....................................................................................................................23
7 Performance....................................................................................................................................................24
7.1 Takeoff...................................................................................................................................................24
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7.2 Climb .....................................................................................................................................................25
7.3 V-n Diagram ..........................................................................................................................................26
8 Fuselage Sizing...............................................................................................................................................27
8.1 Payload Considerations..........................................................................................................................27
8.2 Internal Cargo Fitting.............................................................................................................................28
8.3 Final Fuselage Layout............................................................................................................................30
9 Cockpit Layout...............................................................................................................................................32
10 Wing Sizing................................................................................................................................................34
10.1 Airfoil Selection and Analysis...............................................................................................................35
10.2 General Wing Planform Sizing..............................................................................................................37
10.3 High-Lift Device Sizing.........................................................................................................................38
10.4 Final Wing, Flap, and Lateral Control Layout.......................................................................................42
10.5 Wing Design Optimization ....................................................................................................................44
11 Tail Sizing..................................................................................................................................................47
11.1 Horizontal and Vertical Stabilizer Sizing ..............................................................................................47
11.2 Elevator and Rudder Sizing ...................................................................................................................49
11.3 Final Tail Layout ...................................................................................................................................50
12 Structure and Manufacturing......................................................................................................................51
13 Subsystem Considerations .........................................................................................................................54
13.1 APU .......................................................................................................................................................54
13.2 Fuel Pumps ............................................................................................................................................55
13.3 Avionics.................................................................................................................................................55
13.4 Electrical System ...................................................................................................................................55
13.5 Electrohydraulic Actuator......................................................................................................................55
13.6 Ram Air Turbine....................................................................................................................................55
13.7 Defensive Subsystems ...........................................................................................................................56
14 Weight and Balance Analysis ....................................................................................................................56
14.1 Class I Component Weight Breakdown.................................................................................................56
14.2 Center of Gravity of Class I Weight Components .................................................................................58
14.3 Weight-C.G. Excursion Diagram and Feasibility of Design..................................................................61
15 Landing Gear Sizing ..................................................................................................................................63
15.1 Geometric Criteria for Landing Gears ...................................................................................................63
15.2 Final Landing Gear Configuration and Retracting Feasibility...............................................................65
16 Stability and Control ..................................................................................................................................67
16.1 Neutral Point..........................................................................................................................................67
16.2 Static Margin .........................................................................................................................................68
16.3 Static Stability Derivatives ....................................................................................................................69
16.4 Dynamic Stability ..................................................................................................................................70
17 Final Layout ...............................................................................................................................................72
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18 Ground Operations.....................................................................................................................................77
19 Cost and Business Plan ..............................................................................................................................81
19.1 Procurement & Development Cost ........................................................................................................81
19.1.1 Engineering Hours ........................................................................................................................82
19.1.2 Tooling Hours ...............................................................................................................................82
19.1.3 Development Support Costs..........................................................................................................83
19.1.4 Flight Test Costs ...........................................................................................................................83
19.1.5 Manufacturing Costs.....................................................................................................................83
19.1.6 Quality Assurance Cost.................................................................................................................83
19.1.7 Procurement & Development Cost Conclusion ............................................................................84
19.2 Operating & Support Costs....................................................................................................................84
19.3 Business Plan.........................................................................................................................................85
20 Conclusion .................................................................................................................................................87
21 References..................................................................................................................................................88
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List of Figures
Figure 1-1. Right isometric of painted aircraft.........................................................................................................2
Figure 2-1. Configuration one model.......................................................................................................................4
Figure 2-2: Configuration two model. .....................................................................................................................4
Figure 2-3: Configuration three model. ...................................................................................................................4
Figure 3-1. Mission profile diagram. .......................................................................................................................9
Figure 3-2. Payload range chart. ..............................................................................................................................9
Figure 3-3: Stakeholder analysis chart...................................................................................................................11
Figure 4-1. Waterfall chart showcasing reductions in takeoff weight with the additions of technology. ..............16
Figure 5-1. Weight regression plot. .......................................................................................................................17
Figure 5-2. Climb 1 rate of climb sensitivity study................................................................................................19
Figure 5-3. Cruise 2 altitude sensitivity study........................................................................................................20
Figure 5-4. Cruise 2 Mach number sensitivity study. ............................................................................................21
Figure 6-1. Constraint sizing plot. .........................................................................................................................22
Figure 6-2. Additional constraint sizing.................................................................................................................23
Figure 7-1: V-n Diagram .......................................................................................................................................27
Figure 8-1. Omni-directional rollers. .....................................................................................................................29
Figure 8-2. Cross-section design of fuselage cargo space......................................................................................30
Figure 8-3. Geometric parameters of fuselage.......................................................................................................31
Figure 9-1. ISO view of cockpit.............................................................................................................................32
Figure 9-2. Dimensioned three-view of seating arrangements in the cockpit. .......................................................33
Figure 9-3. Side-view of nose part of fuselage. .....................................................................................................34
Figure 10-1. Geometry of HSNLF213 airfoil. .......................................................................................................36
Figure 10-2. Lift curve slope of HSNLF213..........................................................................................................36
Figure 10-3. Lift coefficient plotted against drag coefficient for HSNLF213. ......................................................36
Figure 10-4: Dimensioned Drawing of Wing Planform.........................................................................................43
Figure 10-5: Flap and Lateral Control Layout .......................................................................................................43
Figure 10-6. Lift to drag of wings that met the CL required...................................................................................45
Figure 10-7. Wing planform comparison...............................................................................................................46
Figure 11-1. Dimensioned drawing of horizontal tail. ...........................................................................................49
Figure 11-2. Dimensioned drawing of vertical tail. ...............................................................................................49
Figure 11-3. Overall layout of empennage. ...........................................................................................................51
Figure 12-1. Structure layout. ................................................................................................................................52
Figure 13-1. Side view of subsystem placement....................................................................................................54
Figure 13-2. Top view of subsystem placement. ...................................................................................................54
Figure 14-1. C.g. travel for aircraft without cargo. ................................................................................................61
Figure 14-2. C.g travel for aircraft one Wolverine Bridge.....................................................................................61
Figure 14-3. C.g travel for aircraft with 2 M-1 Abrams tanks. ..............................................................................62
Figure 14-4. C.g travel for aircraft with 205,000 pound cargo. .............................................................................62
Figure 14-5. C.g travel for aircraft with 300,000 pound cargo. .............................................................................62
Figure 15-1. Longitudinal tip-over criteria and ground clearance. ........................................................................63
Figure 15-2. Lateral ground clearance. ..................................................................................................................63
Figure 15-3. Lateral tip-over criteria......................................................................................................................64
Figure 15-4. Diagram for static load calculation....................................................................................................65
Figure 15-5. Three-view of nose and main landing gear. ......................................................................................66
Figure 15-6. Nose gear retracting process..............................................................................................................66
Figure 15-7. Main gear retracting process. ............................................................................................................67
Figure 16-1. AVL input geometry. ........................................................................................................................68
Figure 16-2. Dynamic mode eigenvalues...............................................................................................................71
Figure 17-1. Aircraft Front View...........................................................................................................................72
Figure 17-2. Aircraft Top View .............................................................................................................................72
Figure 17-3. Aircraft Side View ............................................................................................................................73
Figure 17-4. Aircraft Key Components .................................................................................................................73
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Figure 17-5. Powerplant Layout ............................................................................................................................74
Figure 17-6. Series of drawings showing operation of nose and tail doors with their loading ramps deploying...75
Figure 17-7. Three view of aircraft........................................................................................................................76
Figure 18-1: Master Pallet Loading Configuration................................................................................................78
Figure 18-2: AH-64 Apache Loading Configuration.............................................................................................79
Figure 18-3: M1A1 Loading Configuration...........................................................................................................79
Figure 18-4: M2A3 Loading Configuration...........................................................................................................80
Figure 18-5: Wolverine Loading Configuration ....................................................................................................81
Figure 19-1. Procurement and development cost...................................................................................................84
Figure 19-2. Operating and support cost................................................................................................................85
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List of Tables
Table 2-I. Aircraft configuration options.................................................................................................................3
Table 2-II. Figures of merit analysis........................................................................................................................5
Table 3-I. Climb Performance .................................................................................................................................6
Table 3-II. Cruise Performance................................................................................................................................6
Table 3-III. Takeoff Performance. ...........................................................................................................................7
Table 3-IV. Landing Performance ...........................................................................................................................7
Table 3-V: Stakeholder interests............................................................................................................................11
Table 4-I. Technology impact table. ......................................................................................................................15
Table 5-I. Weight regression aircraft. ....................................................................................................................16
Table 6-I. Preliminary sizing results. .....................................................................................................................24
Table 7-I. Balanced field length and intermediate values for varying engine and takeoff conditions. ..................25
Table 7-II. Climb gradient, rate of climb, and intermediate values for varying engine and takeoff conditions.....25
Table 8-I. Payload characteristics. .........................................................................................................................28
Table 8-II. Minimum cargo space dimension calculation......................................................................................28
Table 8-III. Dimension of cargo space...................................................................................................................29
Table 8-IV. Components in the fuselage................................................................................................................31
Table 8-V. Geometric parameters of fuselage. ......................................................................................................31
Table 10-I. Critical Mach number values for each airfoil and intermediate values. ..............................................35
Table 10-II. Summary of wing parameters. ...........................................................................................................38
Table 10-III: Takeoff and Landing Flap down Required Incremental Lift Coefficient .........................................39
Table 10-IV: Incremental Lift Coefficient Values.................................................................................................40
Table 10-V: Convergence Results for Degree Deflection......................................................................................40
Table 10-VI: Summary of Flap Sizing Results ......................................................................................................41
Table 10-VII: Front and rear spar location ............................................................................................................41
Table 10-VIII. Fuel Weight and Volume Parameters ............................................................................................42
Table 11-I. Horizontal tail sizing parameters and calculations. .............................................................................48
Table 11-II. Vertical tail sizing parameters and calculations.................................................................................48
Table 11-III. Empennage control surface sizing. ...................................................................................................50
Table 12-I. Geometric information of fuselage structure.......................................................................................51
Table 12-II. Geometric data of structural layout for wing, vertical tail, and horizontal tail. .................................52
Table 12-III. Aircraft Material Selection ...............................................................................................................53
Table 14-I. Empirical fraction weight estimates. ...................................................................................................57
Table 14-II. System weight estimates from various sources..................................................................................57
Table 14-III. Weight estimate and calculation comparisons..................................................................................58
Table 14-IV. Payload weights and quantities. .......................................................................................................58
Table 14-V. Center of gravity calculations. ...........................................................................................................59
Table 14-VI. Center of gravity locations for all payload configurations. ..............................................................60
Table 15-I. Static load per strut calculation result. ................................................................................................65
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1 Introduction
This report details the design and analysis of a next generation military cargo transport aircraft as a
response to the RFP provided by the armed forces. The primary motivation for this new aircraft design is
the rapidly aging fleet of cargo transport aircraft currently used by the armed forces. While still capable
and valuable, aircraft such as the C-5 and C-17 were designed many years ago and rely heavily on
technology that can be vastly improved upon in a new aircraft. Therefore, the armed forces have
expressed interest in designing and building a new aircraft which is capable of performing all of the
missions currently flown by the C-5 and C-17, while taking advantage of new technologies to optimize
performance, minimize vehicle weight, and minimize cost. This aircraft meets all of the requirements
stated in the RFP by using an iterative design process and by justifying each engineering decision with
sensitivity studies. In addition to the sizing analysis, individual component design are performed to
determine the optimal wing, fuselage, tail, and landing gear design and layout. Once the design of the
vehicle is completed, characteristics such as specific segment performance and the aircraft stability are
analyzed to demonstrate that the vehicle meets and exceeds all requirements for optimal operation. The
final analysis that is performed on this vehicle is the determination of both the development and
procurement cost and the operating cost of the vehicle. These two results are very important to the
economic viability of this aircraft in today’s competitive market. Throughout the design process,
decisions will be made in order to attempt to maximize performance while still minimizing the overall
costs.
1.1 Aircraft Summary
The aircraft proposed is a high wing, cargo aircraft powered by two wing mounted geared turbofan
engines. The aircraft has wings with 28° of sweep and a T-tail empennage configuration. A nose and tail
door with loading ramps facilitates the loading and off-loading of cargo. The overall aircraft can be seen
in Figure 1-1.
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Figure 1-1. Right isometric of painted aircraft.
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2 Configuration Selection
2.1 Figures of Merit Analysis
The first step in beginning the design process for this aircraft was to determine a desired configuration
of the major components. In order to determine optimal configuration for this aircraft, a figures of merit
analysis was used to weight each of the configurations based on performance and design characteristics.
These characteristics were chosen based on the requirements and guidelines as stated in the RFP. The
chosen figures of merit for this analysis included structural weight, cargo space, maintenance,
manufacturability, logistics and stability and controllability. Existing military aircraft such as the C-5 and
the C-17 were examined in order to determine realistic configuration options. In addition, futuristic and
experimental aircraft designs were examined. For each of the figures of merit, a weighting ranging from 1
to 5 was assigned based on the relative importance of that figure of merit on the overall design. In the
same way, a score was assigned for each configuration ranging from 1 to 5 based on how well it achieved
the figure of merit. The overall score of a configuration is the sum of the products between the weight of
the figure of merit and the score of that particular configuration.
2.2 Comparative Study
Instead of doing a figures of merit analysis for each possible component choice, three overall aircraft
configurations were created based on both conventional and potential aircraft designs. Table 2-I below
lists the major design components considered for each configuration and the options that were chosen.
Table 2-I. Aircraft configuration options.
Design Options Configuration 1 Configuration 2 Configuration 3
Number of fuselage single fuselage single fuselage single fuselage
Fuselage Shape round fuselage round fuselage round fuselage
Wing Location high mounted wing low mounted wing high mounted wing
Wing Sweep aft wing sweep aft wing sweep aft wing sweep
Wing Taper tapered wing tapered wing box wing
Use of Canard no canard no canard no canard
Number of Engines 2 engines 2 engines 2 engines
Engine Location engines on wing engines on wing engines on wing
Engine Type turbofan turbofan turbofan
Tail Shape T-tail conventional tail box wing tail
Landing Gear Configuration tricycle landing gear tricycle landing gear tricycle landing gear
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A model for each of these configurations was created to provide a visual representation of what each
configuration might look like. These models are shown in Figure 2-1, Figure 2-2, and Figure 2-3 below.
Figure 2-1. Configuration one model.
Figure 2-2: Configuration two model.
Figure 2-3: Configuration three model.
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Each of these configurations was scored using the figures of merit analysis. The result of this analysis
is shown below in Table 2-II.
Table 2-II. Figures of merit analysis.
FOM Weighting Configuration 1 Configuration 2 Configuration 3
Structural Weight 4 4 5 3
Cargo Space 5 5 5 5
Maintenance (cost) 3 4 4 3
Manufacturability (cost) 3 3 3 1
Logistics 4 5 3 2
Stability and Control 2 5 4 4
Total 21 92 86 65
2.3 Chosen Preliminary Configuration
The result of the figure of merit analysis was the selection of configuration one as the design
configuration. This aircraft has a single, round fuselage, a high mounted, aft swept, tapered wing with no
canard, two turbofan engines mounted below the wings, a t-tail, and tricycle landing gear. This aircraft is
highly conventional and does not deviate greatly from current aircraft configurations. Therefore, the
improvements in the newly designed aircraft over any aircraft currently in service will come from the
technologies used as a part of the design.
3 Mission Specification and Decisions
3.1 Mission Segments
In order to analyze the vehicle to determine a takeoff weight, a mission for the vehicle must be
designed. The basic segments of the mission are start, taxi, takeoff, climb, cruise, descent, and landing. In
addition, there is a 200 nautical mile reserve that is assumed to be performed at the end of the cruise. To
optimize the performance of the vehicle throughout the mission, each of the segments has been divided
into smaller segments to determine the optimal mission parameters at each segment such as altitude, flight
speed, and rate of climb. The cruise segment has been divided into three smaller step cruise segments for
improved performance, cruise at higher altitudes becomes more efficient as the aircraft becomes lighter
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due to burned fuel. The climb and descent segments were divided into smaller segments based on trade
study analysis. These trade studies will be demonstrated later in the report as a component of the weight
sizing process.
3.1.1 Climb
The climb segment of the mission profile for this aircraft contains an initial climb up to 10,000 feet
based on the maximum speed of 250 kts below 10,000 feet. The climb from 10,000 feet to the chosen
initial cruise altitude is divided into four climbs at varying rates of climb and forward velocities. This is
done to optimize the overall fuel efficiency of the vehicle to reduce the fuel weight required for the
mission. The climb performance parameters for each segment are shown in Table 3-I. The rate of climb
for the final climb segment is calculated such that the requirement that the total time to climb to cruise
altitude with a 205,000 lb payload be no more than 20 minutes is met.
Table 3-I. Climb Performance
Mission Segment Initial Altitude (ft) Final Altitude (ft) Rate of Climb (ft/min) Mach Number
Climb 1 0 10,000 2,250 0.38
Climb 2a 10,000 15,625 2,000 0.50
Climb 2b 15,625 21,250 1,500 0.50
Climb 2c 26,875 26,875 1,400 0.60
Climb 2d 32,500 32,500 1,131 0.60
3.1.2 Cruise
The cruise segment of the mission for this aircraft is divided into three step cruise segments. This is
the maximum number of step cruise segments allowed as described by the RFP. The step cruise is optimal
because as the aircraft burns fuel and becomes lighter, the aircraft can improve fuel efficiency by flying at
a higher altitude. For each cruise segment, the altitude and speed are optimized to maximize the specific
range of the vehicle. The cruise performance parameters for each step cruise segment are shown below in
Table 3-II.
Table 3-II. Cruise Performance
Mission Segment Altitude
(ft)
Mach Number
Cruise 1 32,500 0.65
Cruise 2 39,000 0.70
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Cruise 3 40,000 0.70
3.1.3 Takeoff
One of the required performance metrics for this aircraft is that the balanced field length be no greater
than 9,000 ft. This requirement must apply at all potential takeoff conditions including the hot day and
high altitude requirements. In order to meet these requirements, a constraint sizing analysis was
performed to determine the appropriate engine thrust. For the three required takeoff conditions, the
important constraint inputs that vary for each condition as well as the resulting thrust to weight ratio at sea
level takeoff are shown below in Table 3-III.
Table 3-III. Takeoff Performance.
Takeoff Segment CL,clean CD ρ (slug/ft3
) T/W
ISA at MSL 1.10 0.071 0.002378 0.150
ISA + 30°C 1.21 0.080 0.002153 0.178
ISA + 10°C at MSL + 10,000 ft 1.54 0.112 0.001692 0.249
The thrust to weight design point for the overall aircraft was chosen to be 0.25 due to the hot day and high
altitude takeoff requirement. As these two segments required the largest thrust to weight required.
3.1.4 Landing
Similarly to the takeoff, the landing requirement was also analyzed at three required conditions. The landing is of
great importance due to it setting a maximum limit for the wing loading at takeoff for the vehicle. For the three
required landing conditions, the important constraint inputs that vary for each condition as well as the resulting
maximum wing loading values at takeoff are shown below in Table 3-IV.
Table 3-IV. Landing Performance
Landing Segment ρ
(slug/ft3
)
W/S (lb/ft2
)
ISA at MSL 0.002378 173
ISA + 30°C 0.002153 156
ISA + 10°C at MSL + 10,000 ft 0.001692 123
Once again, the design point is driven by the hot day at high altitude requirement. This requirement resulted in a
wing loading at takeoff for the aircraft that can be no greater than 123 lb/ft2
.
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3.1.5 Range
The total range of the aircraft was determined as a sum of the horizontal distance travelled for each mission
segment. For the cruise segments, the design range of 6,300 nm was split equally into three 2,100 nm segments. The
reserve range of 200 nm is added at the end of the final cruise segment. For the climb and descent segments, the
horizontal distance travelled was calculated according to Equation 1.
(1)
The altitude change, rate of climb, and Mach number are selected using sensitivity studies to determine optimal
values based on the specific range and thrust to weight ratio. The speed of sound is calculated as an average value
over the range of altitudes travelled during the climb or descent segment. Using this approach, the overall range of
the vehicle for the designed mission payload of 205,000 lb. is calculated to be 6,805 nm. This range encompasses
common military transport routes between Europe and combat zones in the Middle East as well as flights from the
continental U.S. to either Europe or Asia.
3.2 Mission Profile
Once all the performance characteristics were determined for each segment of the mission, the
finalized mission profile was created. The final result of the mission profile optimization was a climb up
to 10,000 feet followed by a four part step climb up to the initial cruise altitude of 32,500 feet. This initial
cruise was the first of the three part step cruise. The second and third segments of the step cruise took
place at 39,000 and 40,000 feet respectively. Finally, the descent was broken into two segments above
10,000 feet and one segment below. The finalized mission profile can be seen below in Figure 3-1.
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Figure 3-1. Mission profile diagram.
3.3 Payload Range Charts
After performing the weight and constraint sizing to determine the takeoff weight and empty weight of the
vehicle at the design point, it is also useful to know the range of the aircraft when carrying varying payload weights.
By determining the range at each of these payload weights, the overall payload range chart for the aircraft can be
created. For this aircraft, the payload range chart is shown below in Figure 3-2.
Figure 3-2. Payload range chart.
Design Point
Maximum Payload
Ferry Range
120,00 lb payload
Max Fuel Weight
0
50,000
100,000
150,000
200,000
250,000
300,000
350,000
0 2000 4000 6000 8000 10000 12000 14000 16000 18000
PayloadWeight(lb)
Range (nm)
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The points used to generate this payload range chart were a maximum payload of 300,000 lb., the design
point of 205,000 lb., the performance requirement of 120,000 lb., the max fuel weight of 368,585 lb. with a payload
of 50,950 lb., and the ferry range calculated at the max fuel weight of 368,585 lb. with no payload. For this aircraft,
the original design payload of 120,000 lb. was increased to a design payload of 205,000 lb. The reason for this
increase in payload was twofold. The initial design with a payload of 120,000 lb. was unable to accommodate the
maximum payload requirement of 300,000 lb. In addition, two of the required payload cargo, the M104 Wolverine
and the M1A Abrams tank exceed the weight of the initial design payload of 120,000 lb. Therefore, in order to
achieve a maximum payload of at least 300,000 lb. and be able to carry at least one Wolverine and one Abrams at
the design payload weight, the design payload weight was increased from 120,000 lb. to 205,000 lb. This payload
weight increase also results in an increased range of the vehicle. This increased range is optimal because it makes
nonstop flights from North America to Europe and Europe to the Middle East possible at higher, more useful
payload weights.
3.4 Stakeholder Analysis
An important aspect of aircraft design considered, was the stakeholder’s that are impacted by the final
design. It identifies the important shareholders within the process that will drive the design and usability
of the aircraft. Some of the important stakeholders for this project include the pilots, government,
manufacturers, suppliers, cargo master and light personnel. Using the stakeholder analysis chart, the
entities listed above can be placed on the chart dividing them between four different criteria. These
include “keep satisfied”, “manage closely”, “monitor” and “keep informed.” Each of these criteria have
varying degrees of power and interest within the project. Based off the interest of each relevant party,
their place on the chart was created. Their placement on the chart is based off each other’s relations. Table
3-V and Figure 3-3 below showcase both the interests of each stakeholder and their place on the
stakeholder analysis chart.
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Table 3-V: Stakeholder interests.
Stakeholder Interest
Pilots Aircraft capabilities, flight stability and control, use of advanced
technologies, safety features and performance.
Government Initial cost of aircrafts, delivery on RFP requirements, safety and
performance of aircraft, reduced maintenance cost.
Manufacturers/Supplie
rs
Complexity of parts, use of advanced materials & technologies,
complexity of design.
Cargo Master Loading capabilities of aircraft, reduced turnover time, aircraft internal
configuration.
Flight Personnel Use of aircraft technologies, ergonomics of internal cargo space.
Figure 3-3: Stakeholder analysis chart.
4 Advanced Technology
4.1 Geared Turbofan
For this aircraft, the engine will be augmented with a geared turbofan system. Currently there are a
handful of geared turbofans in production. The most well-known is the Pratt & Whitney PW1000G. The
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engine is already in production; its current use is on the A320neo (Pratt and Whiteney). The A320neo is
expected to go into service in October 2015. There are multiple versions of the PW1000G for a handful of
aircraft.
The PW1000G is expected to have a fuel consumption decrease of 15% compared to current engines
in the same category. By mid-2020’s, P&W expects to produce engines that offer a 20-30% increase in
efficiency compared to current technologies. The performance increase is not only produced by the gear
box but by a handful of advancements in engine technologies.
The current geared turbofans do not produce enough thrust for comparable aircraft. The PW1428
produces a maximum thrust of 31,000lbf; the C-17 uses four PW F117 turbofans which each produce
40,440 lbf. Our aircraft is to enter service in 2030; by then it is reasonable to assume that geared turbofan
engines producing around 94,000 lbf would be possible. The expected fuel consumption decrease would
be around 20% compared to current technologies.
Currently, the baseline model chosen is the GE90-94B turbofan engine. It was chosen due to the thrust
requirement that the constraint sizing process revealed. The baseline engine has a weight of
approximately 17,000 lb. Its length is 287 inches and has a diameter of 134 inches. The engine is capable
of producing 93,000 lb of thrust at sea level which matches the requirements taken about earlier. With the
use of the geared turbofan, the weight can be further reduced and also improve the TSFC of the baseline
engine.
4.2 Natural Laminar Flow Airfoil
Through the use of composite materials, certain tolerances and levels of surface smoothness can be
achieved in order for natural laminar flow airfoils to be used successfully. Laminar flow over the surface
of the wing provides large performance improvements that can help the efficiency of the overall aircraft.
It can reduce drag produced overall by the wing versus a wing using a regular airfoil. Furthermore,
increased laminar flow over the wing also provides greater lift. Laminar flow airfoils are designed to have
favorable pressure gradients in order to allow the boundary layer to laminar. The usual definition of a
laminar flow airfoil is that the favorable pressure gradient ends somewhere between 30 and 75% of chord.
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The idea of laminar flow airfoils is certainly not new to the aerospace field. The P-51 Mustang was the
first aircraft designed to use laminar flow airfoils. It could not benefit from the use of the airfoil due to the
surface unevenness of the wing. Currently, Aerion is proposing the use of laminar flow airfoils in
supersonic business jets in order to improve performance of its design.
4.3 Composite Materials in Aircraft Design
The use of composites in the design of our aircraft will serve three primary purposes. It will allow
lighter overall empty weight of the aircraft, it will allow increased strength for specific parts and
mechanisms, thereby increasing performance, and it will decrease lifetime costs by decreasing the
maintenance and overhaul load.
With the Boeing 787 as a base model for composite material design, the degree to which composites
can be used is both variable and well established. All secondary structures, unless outweighed by a greater
need specific to a military transport, will be made of fiber reinforced polymers. These will primarily
consist of carbon fiber epoxy resins for parts with higher specific strength demands and fiberglass resins
for other parts. If possible, foam core sandwich structures will be used.
Secondary Structures:
Fairings
Nose Radome
Cowlings
Flaps
Spoilers
Landing Gear Doors
Fuselage Doors
Tail Torque Boxes
Primary Structure:
Fuselage
Wings
Tails
Elevator
Rudder
Ailerons
Pending further cost and manufacture analysis, the use of composites will potentially cover the
primary structure itself. Its use in control surfaces is highly regarded as advantageous, although its use in
the wings and fuselage needs further analysis. Boeing’s technique for creating the fuselage in whole
sections seems to be a likely candidate for the manufacturing method to be employed for our cylindrical
fuselage.
Advantages of Composites Disadvantages of Composites
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Tailor capability (directional properties)
Lower density (lower weight)
High strength and stiffness
Fatigue performance
Corrosion resistance
Wear resistance
Low heat transmission
Good electrical insulation
Low sound transmission
Environmental degradation of resin dominated
properties
Notch sensitivity
Impact damage
Poor through thickness properties
Variability
Properties not established until manufactured
Limited availability of design data
Reinforcement incorrectly located
Lack of codes and standards
4.4 Spiroid Winglet
Up to 40% of total drag at cruise conditions and 80-90% of total drag in take-off configuration can be
attributed to lift-induced drag for the typical transport aircraft (Guerrero, Maestro, & Bottaro, 2012).
Since drag is balanced by the thrust of the aircraft engine in cruise conditions, reducing drag leads to fuel
savings, lower operating costs, or improved performance or range. Furthermore, the drag, wake, and
vortex characteristics for an aircraft during landing and take-off operations affects climb-rates and other
landing and take-off performance measures as well air traffic flow management at airports due to vortex
turbulence dissipation. Some research has shown that one way of reducing lift-induced drag is by using
wingtip devices, such as the blended winglet, wing grid, or spiroid wingtip, which is of particular interest.
An extensive wind tunnel study examined the effects of four winglet shapes on the vortex behind the
wing, static surface pressure over the wing, and wake of a swept wing at varying angles of attack
compared to a configuration without winglets, the bare wing (Nazarinia, Soltani, & Ghorbanian, 2006).
This study found that winglets change the flowfield over the wing significantly. The total pressure loss in
the wake of the model is significantly less when a winglet is included compared to the bare wing. Two
types of spiroid winglets were tested, a forward spiroid winglet and an aft spiroid winglet. It was found
that the forward spiroid winglet seems to be more suitable for the cruise flight phase (when angle of
attack is low), while the aft spiroid winglet is more suitable for the climb phase, with higher angle of
attack.
A spiroid wingtip was tested by adapting it to a clean wing, or bare wing, and performance of the wing
with the spiroid winglet relative to the clean wing was studied quantitatively and qualitatively. With any
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winglet, there is a trade-off between the benefits realized from the reduction in lift-induced drag and the
additional parasitic drag through the increased wetted surface, causing with additional friction and
interference drag. The point where the marginal benefits and marginal cost of the winglet balance is
called the crossover point. Additionally, the study finds that the spiroid winglet is able to greatly reduce
the intensity of wingtip vortices, which dissipate quickly, compared to a clean wing. This can have
benefits in terms of air traffic flow management at airports. From the perspective of the aircraft operator,
the benefits of the spiroid winglet enumerated could mean increased range, improved take-off
performance, increased operating altitudes, improved roll rates, shorter time-to-climb rates, less take-off
noise, increased cruise speeds, reduced engine emissions, and improved safety during take-off and
landing due to vortex turbulence reduction.
4.5 Weight Sizing Technology Factors
The implementation of the technologies takes several forms in the weight sizing process. There is a
reduction to the empty weight of the aircraft in the form of a technology factor, η. This is calculated to be
0.851. The engine efficiency improvement translated into a reduction in the TSFC of the aircraft for each
mission segment, a result of increased rotational efficiency. A reduction in the skin friction coefficient is
realized with the inclusion of a natural laminar flow airfoil in the wing. This is a result of decreased
turbulent flow over the wing. The use of spiroid winglets decreases wingtip vortices, resulting in an
Oswald’s efficiency increase. The complete quantitative set of improvements made to the aircraft from
technology implementation can be seen in Table 4-I. A waterfall chart showing the takeoff weight
decrease of the aircraft after each technology implementation is shown in Figure 4-1.
Table 4-I. Technology impact table.
Technology Description TRL Improvement Factor
Composites
Advanced lighter
materials
9 20% weight reduction
Geared Turbofan
Optimizes rotational
efficiency
8
15% weight
reduction,
12% TSFC reduction
Natural Laminar Flow
Airfoil
Decreases turbulent
flow over wing
6
7% skin friction
coefficient reduction
Spiroid Winglets Decreases wingtip 8 6% Oswald’s efficiency
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vortices increase
Figure 4-1. Waterfall chart showcasing reductions in takeoff weight with the additions of technology.
5 Weight Sizing
5.1 Weight Regression
The first step in the weight sizing process is to calculate an empty weight for the vehicle based on a
linear regression formed from weight data of similar vehicles. The vehicles used for this regression were
composed of other military transport aircraft as well as large passenger jet aircraft. The chosen vehicles
for this regression are shown below in Table 5-I.
Table 5-I. Weight regression aircraft.
Vehicle Vehicle
1 Boeing YC-14 9 Boeing 777-F
2 Boeing KC-135A 10 Xian Y-20
3 McDD C-17 11 Antonov An-124
4 McDD KC-10A 12 Ilyushin Il-76
5 Lockheed C-141B 13 Boeing 747-100B
6 Lockheed C-5A 14 Airbus 300B4
7 Tupolev Tu-16 15 Boeing 787
8 BAE Nimrod Mk2
For each of these vehicles, the empty weight of the vehicle is graphed against the take-off weight on a
logarithmic scale. The resulting linear regression creates a linear relationship between the empty and
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takeoff weight. This relationship is used with a guessed takeoff weight to generate one estimate of the
empty weight of the vehicle. The linear regression is shown below in Table 5-I.
Figure 5-1. Weight regression plot.
5.2 Takeoff Weight Convergence
In addition to the historical weight regression, another method is used to produce an estimate for the
empty weight of the vehicle. This method uses a Microsoft Excel spreadsheet to compute mission fuel
fragments for each segment of the flight. The purpose of creating these mission fuel fragments is to
determine an overall fuel weight needed for the mission. This fuel weight can then be subtracted from the
takeoff weight along with the chosen payload weight, and the assumed crew weight to determine an
empty weight for the vehicle. This is shown in Equation 2.
(2)
The primary basis for calculating the fuel fraction for each mission segment is the Breguet range
equation. This relationship is shown below in Equation 3.
(3)
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In this equation, the range for the mission segment is chosen, the speed is known based on the chosen
altitude and Mach number, the thrust specific fuel consumption is calculated using an engine deck for a
chosen baseline model, and the lift to drag ratio is calculated based on a drag polar convergence which is
described in the next section.
5.3 Drag Polar Convergence
One input to the Breguet range equation is the lift to drag ratio at the chosen segment of flight. To
compute this value, a drag polar analysis is necessary. Initially, a lift to drag ratio is assumed in order to
perform the weight sizing calculations. However, to achieve a finalized takeoff and empty weight value,
the lift to drag ratio must be converged using the drag polar analysis. To calculate this lift to drag ratio,
the coefficient of lift and the coefficient of drag at each segment of flight are calculated. The coefficient
of lift is calculated according to Equation 4.
(4)
The weight of the vehicle is taken from the weight sizing analysis at the appropriate segment of flight,
the density of the air is known from the chosen altitude, the airspeed is known from the chosen altitude
and Mach number, and the wing area is calculated from the guessed takeoff weight and the assumed wing
loading of the vehicle. The coefficient of drag is calculated according to Equation 5.
(5)
The aspect ratio and baseline Oswald’s efficiency factor of the vehicle are chosen based on
similar aircraft and the zero lift drag is calculated based on an assumed skin friction coefficient, the wing
area, and the wetted area as described in Roskam’s design books.
5.4 Sensitivity Studies
To determine the optimal parameters at each segment of the mission, sensitivity studies were
performed for each important performance characteristic. For each sensitivity study, the chosen parameter
is varied and the specific range of the vehicle over the mission segment is calculated. The optimal value
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for each parameter is the one which maximizes the specific range over that segment. For example, to
determine the optimal climb rate for each portion of the initial climb, the climb rate for the first climb
segment is varied and the specific range is calculated. The resulting graph is shown below in Figure 5-2.
Figure 5-2. Climb 1 rate of climb sensitivity study.
In this particular example, the thrust to weight ratio is shown on the secondary vertical axis. This is
shown to demonstrate the strong effect that the climb rate has on the resulting thrust to weight ratio of the
aircraft. The calculation of this ratio is done in the constraint sizing process. For this example, the
increase in specific range was negligible for the various rates of climb so the initial climb segment rate of
climb was chosen to be 2,250 feet per minute to minimize the thrust to weight ratio. This process is
repeated for all other climb and descent segments.
Because the cruise was broken into three separate step cruise segments, the altitude of these step
cruises is of great importance. To determine the optimal altitude for each step cruise segment, the specific
range is graphed against the altitude. For the second step cruise segment, the resulting plot is shown
below in Figure 5-3.
0.24
0.245
0.25
0.255
0.26
0.265
0.27
0.275
0.28
0.285
0.027885
0.02789
0.027895
0.0279
0.027905
0.02791
0.027915
0.02792
0.027925
0.02793
0.027935
0.02794
750 1250 1750 2250 2750
ThursttoWeightRatio
SpecificRange(nm/lb)
Climb 1 Rate (ft/min)
Specific Range
T/W
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Figure 5-3. Cruise 2 altitude sensitivity study.
For this cruise segment, the optimal specific range is obtained at an altitude of 39,000 feet. Therefore,
that altitude is chosen for this cruise segment. This process is repeated for all other mission flight
segments.
The final major parameter that is important to all segments of flight is the Mach number at that
segment. This Mach number is optimized at every segment of flight in order to produce the most efficient
vehicle possible. Similarly to the altitude sensitivity study, the specific range for each Mach number
studied is plotted against the corresponding Mach number. An example of this for the second step cruise
segment is shown below in Figure 5-4.
0.039
0.0392
0.0394
0.0396
0.0398
0.04
0.0402
32000 34000 36000 38000 40000 42000 44000 46000
SpecificRange(nm/lb)
Cruise 2 Altitude (ft)
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Figure 5-4. Cruise 2 Mach number sensitivity study.
The optimal specific range for the second step cruise segment occurs at a cruise Mach number of 0.7.
Therefore, this Mach number is used for all calculations at this segment of flight. This process is repeated
for every segment of flight to determine optimal Mach numbers across the entire mission profile.
6 Constraint Sizing
6.1 Constraint Sizing
The final step in the preliminary sizing of the vehicle is the constraint sizing analysis. The purpose of
this analysis is to determine the sea level thrust to weight ratio required to fly each mission segment based
on a designated wing loading at takeoff. The basis for this analysis is the energy-based constraint
equation. This relationship is shown below in Equation 6.
[ ( )
( )
( )]
(6)
0.0375
0.038
0.0385
0.039
0.0395
0.04
0.55 0.6 0.65 0.7 0.75 0.8 0.85
SpecificRange(nm/lb)
Cruise 2 Mach Number
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This equation can be simplified for each segment of flight based on various assumptions such as
constant speed climb and constant altitude cruise. For each segment of the mission, this constraint
equation was applied to determine the necessary sea level thrust to weight ratio at takeoff to perform the
mission segment. The plot of all of the various mission segments is shown in Figure 6-1.
Figure 6-1. Constraint sizing plot.
The design point for this aircraft was chosen to be the point which met all of the thrust to weight
requirements while maximizing wing loading and minimizing the sea level thrust to weight ratio. For this
aircraft, that initial design point was placed at a thrust to weight ratio of 0.23 and a wing loading of 172
lb/ft2
.
6.2 Additional Constraints
While the initially chosen design point is sufficient to perform all normal mission segments for this
aircraft, it is not sufficient to perform the additional takeoff, climb, and landing requirements at +30°C
above ISA as well as +10°C above ISA at 10,000 feet above MSL. Therefore, an additional constraint
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analysis is performed at these conditions to determine a new, finalized design point. The result of this
additional analysis is shown below in Figure 6-2.
Figure 6-2. Additional constraint sizing.
For this aircraft, the finalized design point is placed at a sea level takeoff thrust to weight ratio of
0.25 and a wing loading at takeoff of 122 lb/ft2
. This design point minimizes the trust to weight at sea
level takeoff and maximizes the wing loading at takeoff while meeting all mission segment requirements
for both normal and hot days.
6.3 Preliminary Sizing Results
Using the initial design point wing loading produced by the constraint sizing analysis, the weight
sizing and constraint sizing processes are then iterated to produce a finalized maximum takeoff weight,
empty weight, wing area, and sea level takeoff thrust required for the aircraft. These are the most
important results of the preliminary sizing process and will be used to drive the detailed design and
0.1
0.15
0.2
0.25
0.3
0.35
0.4
50 70 90 110 130 150 170 190
ThrusttoWeightatSeaLevelTakeoff(~)
Wing Loading at Takeoff (lb/ft2)
Climb 2d
Landing
Takeoff + 30 °C
Climb 1 + 30 °C
Climb 2a + 30 °C
Climb 2b + 30 °C
Climb 2c + 30 °C
Climb 2d + 30 °C
Landing + 30 °C
Takeoff + 10 °C at 10000 ft
Landing + 10 °C at 10000 ft
Previous Design Point
New Design Point
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specific component design. For this aircraft design, the results of the weight and constraint sizing analyses
are shown below in Table 6-I.
Table 6-I. Preliminary sizing results.
Parameter Variable Units Value
Empty Weight WE lb 262,408
Fuel Weight WFuel lb 214,535
Payload Weight WPayload lb 205,000
Crew Weight WCrew lb 1,400
Maximum Takeoff Weight WTO lb 683,343
Wing Loading at Takeoff (W/S)TO lb/ft2
122
Wing Area Swing ft2
5,601
Thrust to Weight at Sea Level
Takeoff
(T/W)SL ~ 0.25
Thrust Required Trequired lbf 170,836
7 Performance
7.1 Takeoff
A takeoff analysis was performed by calculating the balanced field length (BFL) at two engine
conditions. Since our aircraft only has two engines, these conditions are “all engines operative” or “one
engine inoperative.” The BFL was calculated by Equation 7 (Roskam & Lan, Airplane Aerodynamics and
Performance, 2003), where Δγ2 or change in climb gradient is calculated by Equation 8, WTO/S is 122 psf
from constraint sizing, ρ is the density at takeoff, g is gravitational acceleration, CL,2 is the lift coefficient
at V2 (or CL,2 ≈ 0.694CL,max,TO), hscreen is 35 ft as specified by the FAR 25 rules, T/WTO is the thrust loading
at takeoff, μ’ is defined as Equation 9, ΔSTO is the takeoff distance increment equal to 655 ft, and ζ is the
density ratio of the atmosphere. CL,max,TO is chosen as 2.37 from high-lift device sizing, γ2,min is 2.4% for a
two-engine aircraft, and γ2 values are listed in the climb analysis.
( ) (
⁄
) (
̅⁄
)
√
(7)
(8)
(9)
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The resulting BFL and the intermediate values are shown in Table 7-I. It can be seen that the takeoff
can be performed in all listed conditions since their BFL is below the maximum takeoff length of 9,000 ft.
The maximum temperature offset in which the aircraft can takeoff with only one engine is 73°C while the
maximum altitude is 10,050 ft.
Table 7-I. Balanced field length and intermediate values for varying engine and takeoff conditions.
Δγ2 (%) T/WTO ρ
(slugs/ft3
)
σ Engine
condition
Temperature
offset (°C)
Altitude
(ft)
BFL (ft)
0.0966 0.238 0.00205 0.8617 all op 0 SL 7,130
0.0809 0.250 0.00169 0.7119 all op 10 10,000 8,443
0.0890 0.238 0.00185 0.7778 all op 30 SL 7,943
0.0145 0.238 0.00205 0.8617 1 inop 0 SL 8,304
0.0067 0.250 0.00169 0.7119 1 inop 10 10,000 8,985
0.0107 0.238 0.00215 0.9070 1 inop 30 SL 7,990
0.0107 0.238 0.00190 0.7990 1 inop 73 SL 8,990
0.0067 0.250 0.00169 0.7119 1 inop 10 10,050 8,999
7.2 Climb
A climb analysis was performed by calculating the climb gradient, γ2 at the aforementioned engine and
takeoff conditions by using Equation 10, where T or thrust varies for each engine/takeoff condition, WTO
is 669,676 lb from weight sizing, and L/D is 22.98 from drag polar calculations. The resulting climb
gradient, rate of climb, and some intermediate values are listed in Table 7-II.
All calculated climb gradients are greater than the minimum required climb gradient of 2.4%. It should
be noted that the rate of climb listed in the below table is the maximum capability only from the engines
and therefore, these values were not necessarily selected for our design mission.
(10)
Table 7-II. Climb gradient, rate of climb, and intermediate values for varying engine and takeoff conditions.
Thrust (lbf) γ2 (%) Rate of climb
(fpm)
Engine
condition
Temperature
offset (°C)
Altitude (ft)
109,922 12.06 3,015 all op 0 SL
99,393 10.49 2,622 all op 10 10,000
104,812 11.30 2,825 all op 30 SL
54,961 3.85 964 1 inop 0 SL
49,696 3.07 767 1 inop 10 10,000
52,406 3.47 868 1 inop 30 SL
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7.3 V-n Diagram
The V-n diagram was created for the proposed aircraft in order to ensure that the mission does not
exceed the flight envelope of the design. The V-n diagram for this aircraft was created using the standard
techniques and processes. The maximum load factor was assumed to be 2.5 and the minimum was
assumed to be -1.5 based on flight expectations and load factors in similar, previously existing aircraft.
The design dive speed was set to 1.2 times the cruise speed. The maximum load factor, nmax , was found
using Equation 11 below.
(11)
The load factor was solved for repeatedly as the Ve was increased from zero to the design dive speed.
This linear relationship was then cutoff as it reached the maximum design load. The line was also
truncated to only have load factors with magnitudes above one. The same equation and method was used
to find the load factor that decreased until it reached the minimum load. To produce these results, the
CL,max of the wing was substituted with the CL,min. Lastly, gust lines were created to represent both the
maximum positive and negative gust up during both the cruise and dive segments of flight. These gust
lines were created using the Equation 12 shown below.
(12)
The gust speed, U, was taken from the FAA requirements for large aircraft. The finalized V-n diagram
is plotted on Figure 7-1 below.
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Figure 7-1: V-n Diagram
8 Fuselage Sizing
8.1 Payload Considerations
Based on the RFP, it is required to carry at least one Wolverine Assault Bridge System and 44 463L
Master Pallets or optimal arrangements for other payloads. The 463L Master Pallets have no definite
height since it is a specific plate that is designed for holding cargos, and the height depends on the weight
of cargo on each plate. The pallet has a height of 0.1875 ft and a tare weight of 290 lb with maximum
capacity of 10,000 lb (Globid Inc., 2014). In the mission specification, the payload weight of each 463L
Master Pallet is chosen to be 6,000 lb and the corresponding volume of 6000 lb weight is estimated to be
6 ft. The following Table 8-I presents the maximum dimensions, weight and volume of each cargo
component (Kable, 2010) (Military Analysis Network, 2000) (Prado, 2008) (Bradley M2A3 AIFV, 2015).
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Table 8-I. Payload characteristics.
Payload
Dimension (ft)
Weight (lb) Volume (ft3
)
Length Width Height
463 L Master Pallets 7.30 9.00 6.00 6000.00 394.20
Wolverine Bridge 43.96 13.12 15.00 153882.66 8651.33
AH-64 Apaches 49.08 17.17 15.25 23000.00 12851.23
M1A1 Abrams 32.25 12.00 9.47 126000.00 3664.89
M2A3 Bradley 21.50 10.76 11.09 72000.77 2565.56
8.2 Internal Cargo Fitting
Based on cargo arrangements of master pallets on previous transport aircrafts, the pallets are designed
with two master pallets in a row generally. The same arrangement of the master pallets is applied in the
process of determining the dimensions of the internal cargo space. Based on Figure 3.37 and 3.38 of
Roskam Airplane Design Part III, the spacing between the side of pallets and the internal frame of the
aircraft were 2 to 5 inches, and the spacing between pallets were not specified (Roskam J. , Airplane
Design Part III: Layout Desig of Cockpit, Fuselage, Wing and Empennage: Cutaways and Inboard
Profiles, 2002). As far as the loading operation on this aircraft is concerned, extra spacing on the sides
and between pallets are intentionally designed for loading personnel to pass through and check the
loading process and ensure the cargo are loaded and fixed correctly. The cargo space is designed to carry
one Wolverine assault bridge system due to the weight of one Wolverine is greater than half of the
maximum payload requirement. Besides the Wolverine bridge system, other cargo payloads are designed
to be arranged in a row in longitudinal direction. The following Table 8-II summarizes the minimum
cargo space dimensions with required payloads while the total payload weight does not exceeding the
maximum payload weight of 300,000 lb.
Table 8-II. Minimum cargo space dimension calculation.
Payload Quantity
Minimum Cargo Space Dimension (ft) Total
Payload
Weight (ft)
Length
(Longitudinal)
Width
(Lateral)
Height
(Vertical)
463 L Master
Pallets
44 160.60 18.00 6.00 264,000
Wolverine Bridge 1 43.96 13.12 15.00 153,883
AH-64 Apaches 3 147.24 17.17 15.25 69,000
M1A1 Abrams 2 64.50 12.00 9.47 252,000
M2A3 Bradley 4 86.00 10.76 11.09 288,003
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As Table 8-II above shows, the length and width are determined by 44 master pallets such that the
length and width has to be at least 160.60 ft and 18.00 ft; and the height is determined by the Apache
which is at least 15.25 ft. With extra spacing of 1 ft on the sides of master pallets that allow personnel to
pass through, and some extra space are designed on purpose in order to handling some unexpected
situations and provides better spacing clearance and working space for all cargo payloads. The following
Table 8-III presents the decided minimum dimensions of cargo space.
Table 8-III. Dimension of cargo space.
Parameter Units Minimum Required Value Designed Value
Floor Length (ft) 160.60 172.00
Floor Width (ft) 18.00 20.00
Height (ft) 15.25 18.00
Volume (ft3
) 44084.70 61920.00
In order to minimize the loading and unloading operation time, the omni-directional rollers will be
used on the floor of the cargo space and the bottom fuselage is intentionally to be designed as close to the
ground as possible. The following Figure 8-1 shows the omni-directional rollers that will be applied on
the aircraft (Division, 2015).
Figure 8-1. Omni-directional rollers.
Based on the recommendations of cross-section design in Roskam Part III, the following Figure 8-2
presents the actual cross-section design of the cargo space, which meets the minimum cargo space
dimension requirements and creates enough volume for all cargo payload arrangements (Roskam J. ,
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Airplane Design Part III: Layout Desig of Cockpit, Fuselage, Wing and Empennage: Cutaways and
Inboard Profiles, 2002, pp. 423-426).
Figure 8-2. Cross-section design of fuselage cargo space.
8.3 Final Fuselage Layout
According to the weight and sizing results, the empty weight of the aircraft is 262,408 lb. The ratio
of avionics weight to empty weight is estimated to be 0.06, and all the weight of radar and electronic
devices are included as Wavionics (Weston, 2014). Seven crew members were designed to operate the
aircraft, including the pilot, co-pilot, navigator, flight engineers and cargo loading masters. There will be
no passengers on this plane except the crew members. Dimensions of different mission requirements and
corresponding cargo arrangements are listed below in the Table 8-IV.
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Table 8-IV. Components in the fuselage.
Component Number Weight (lb) Volume (ft3
)
Cockpit Crew 7 1,400 N/A
Avionics N/A 15,744 N/A
Cargo
Arrangement
463 L Master Pallets 44 264,000 17345
Wolverine Bridge 1 153,883 8,651
AH-64 Apaches 3 69,000 38,554
M1A1 Abrams 2 252,000 7,330
M2A3 Bradley 4 288,003 10,262
The critical geometric values are chosen for this aircraft based on Military Transports, Bombers and
Patrol Airplanes of Figure 4.1 and Table 4.1 in Roskam Part II (Roskam J. , Airplane Design Part II:
Preliminary Configuration Design and Integration of the Propulsion System, 2004, p. 110). The following
Table 8-V presents design values of key geometric parameters and Figure 8-3 presents the side view and
critical dimensions of geometric parameters of the fuselage.
Table 8-V. Geometric parameters of fuselage.
Geometric Parameter Units Value
lf/df ~ 11.34
lfc/df ~ 2.50
θfc (deg) 23.00
df (ft) 21.38
lf (ft) 242.41
lfc (ft) 47.09
Structure Depth (ft) 0.50
Figure 8-3. Geometric parameters of fuselage.
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Georgia Institute of Technology
9 Cockpit Layout
The cockpit is designed to carry seven crew members on board, including the pilot, co-pilot,
navigator, flight engineers and cargo loading masters. According to the Recommended Seat Arrangement
for Military Wheel Controlled Airplanes from Roskam Part III, the seating arrangements for all crew
members is shown in the following Figure 9-1. (Roskam J. , 2002, p. 19)
Figure 9-1. ISO view of cockpit.
The following three views in Figure 9-2 presents detailed dimensions of the seating arrangement in the
cockpit based on Figure 2.11 of Roskam Part III (Roskam J. , 2002, p. 19).
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Georgia Institute of Technology
Figure 9-2. Dimensioned three-view of seating arrangements in the cockpit.
Based on the door and exit requirements for military airplanes and Table 3.4 Required Number of
Exits per FAR 25 in Roskam Part III, the crew number of seven determines that the aircraft should have
one exit on each side of the fuselage; and the exit door is designed according to the minimum dimensions
for exits from Table 3.5 Minimum Dimensions for Exits in Roskam Part II (Roskam J. , 2002, pp. 70-71).
The following Figure 9-3 of the side view of the nose part of the fuselage presents the dimensioned exits
and visibility clearance, which meets the visibility requirement from Figure 2.16 in Roskam Part II
(Roskam J. , 2002, p. 26).
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Georgia Institute of Technology
Figure 9-3. Side-view of nose part of fuselage.
10 Wing Sizing
This section describes the procedures that were taken in order to size the wing and also the high-lift
devices, such as flaps, ailerons, and spoilers for the military transport. Past aircraft information were
considered to make reasonable guesses for other non-predefined values. The overall dimensions of the
wing were first obtained, and then the dimensions and locations for the high-lift devices were obtained
afterwards. The airfoil to be briefly analyzed in the first part of this section is the HSNLF213. The
following planform design characteristics were defined: wing area, aspect ratio, sweep angle, thickness to
chord ratio, airfoil type, taper ratio, incidence, twist, and dihedral angles, and lateral control surface size
and layout.
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Georgia Institute of Technology
10.1 Airfoil Selection and Analysis
The HSNLF213 airfoil was selected among other NLF airfoils for its high critical Mach number, Mcr.
In order to calculate Mcr, the minimum pressure coefficient was first calculated from Equation 13. The
minimum pressure coefficient at an angle of attack of zero was obtained by XFOIL for each airfoil. The
Mcr was solved for from Equation 14 by setting M = 1 and γ = 1.4. The resulting number listed in Mcr’ is
the final critical Mach number value with the sweep angle of 28° taken into account. Table 10-I shows the
final critical Mach number for each airfoil and their intermediate values.
√
(13)
[
( )
]
(14)
Table 10-I. Critical Mach number values for each airfoil and intermediate values.
Airfoil cp,0,min Mcr Mcr’
hsnlf213 -0.6 0.6708 0.7597
nlf0115 -0.8 0.6137 0.6951
nlf215f -1.4 0.5015 0.5680
nlf414f -0.9 0.5899 0.6681
nlf416 -1.3 0.5161 0.5845
nlf1015 -1.3 0.5161 0.5845
The airfoil coordinates were acquired from the UIUC airfoil database. The airfoil geometry is shown
in Figure 10-1. Figure 10-2 shows the lift curve slope for this airfoil. It can be seen that the operational
angles of attack range approximately from -6° to about 8°. Since the airfoil is asymmetric and cambered,
there is some lift generated at an angle of attack of zero. Figure 10-3 shows the drag coefficient plotted
against the lift coefficient. It can be seen that there is a slight “drag bucket” around a lift coefficient value
of 0.3, meaning that the drag coefficient is minimum for a range of lift coefficients around 0.3.
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Georgia Institute of Technology
Figure 10-1. Geometry of HSNLF213 airfoil.
Figure 10-2. Lift curve slope of HSNLF213
Figure 10-3. Lift coefficient plotted against drag coefficient for HSNLF213.
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Georgia Institute of Technology
10.2 General Wing Planform Sizing
According to Roskam, the sweep angle and the thickness ratio are both critical parameters that have an
influence on the drag rise of the aircraft. Especially for supersonic aircrafts, the tradeoff between sweep
angle and thickness ratio is the deciding factor in the wing design. Moreover, these parameters have an
effect on the cruise CLcr. Using the weight sizing data and Equation 15 taken from Roskam Part II, this
value is calculated below.
Total takeoff weight, WTO = 683,340 lb
Fuel weight, WF = 214,450 lb
Dynamic Pressure, q = 221 psf
Wing area, S = 5,601 ft2
(15)
The sweep angle must be selected on the basis of a critical Mach number. It was initially assumed
during the weight sizing process, the thickness ratio is 0.13 and the chosen airfoil matches this
assumption. As such, these two values were used to find the sweep angle by examining similar aircrafts
within the military transport class of vehicles. It was decided that the sweep angle will be 28° which is
similar to other military transport.
The taper ratio is an important factor of wing design that directly influences many aerodynamic
properties. Roskam explains that it has important consequences to wing stall behavior and to wing weight.
As such, Table 6.9 in Roskam was used to find similar aircrafts to the proposed design to obtain a taper
ratio. It was decided that the taper ratio be 0.3142 for the proposed aircraft. This value was chosen as it is
similar to the taper ratio of similar transport aircrafts like the C-5.
From the taper ratio, the tip chord can be found by assuming a certain root chord. The tip and root
chords are used to calculate the area of the wing; the area of a trapezoid was assumed. The real root chord
can be found by converging the calculated area to the wing area used in the weight sizing process using
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Georgia Institute of Technology
excel. From this analysis, the root chord was found to be 36.02 ft and the tip chord was found to be 11.32
ft.
The choice of deciding the dihedral angle involves a tradeoff between the lateral stability and the
Dutch roll stability. From examining Table 6.9 from Roskam Part II, a dihedral angle of -4° was chosen.
Since the aircraft is meant to be a high wing design, the dihedral angle was chosen to be negative to
reduce the overall stability of the aircraft. Although the engines are mounted under the wing, there is no
factor contributing to dihedral angle from the geometric ground clearance limitations due to being a high
wing design.
The choice of wing incidence angle has important consequences on the cruise drag and the take-off
distance. For this aircraft, the attitude of the fuselage is not relevant as it is a military transport aircraft.
The historical data provided in Table 6.9 was used once again to find both the wing incidence and the
twist angle. For the incidence angle, it was chosen to be 0°. Additionally, the twist angle was chosen to be
0° based on historical data. Table 10-II shows the summary of wing parameters.
Table 10-II. Summary of wing parameters.
Parameter Variable Name Units Value
Wing area S ft2
5,601
Aspect ratio AR ~ 10
Sweep angle Λc/4 degrees 28
Thickness to chord ratio t/c ~ 0.13
Taper ratio λ ~ 0.3142
Incidence angle iw degrees 0
Twist angle εt degrees 0
Dihedral angle Γw degrees -4
10.3 High-Lift Device Sizing
This portion of the report deals with the step by step method provided in Roskam to determine
whether the wing geometry selected can achieve the required clean CLmax used in the previous weight
sizing process. Additionally, the type and size of the high lift devices needed to achieve CLmax,TO and
CLmax,L are determined.
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Georgia Institute of Technology
The values listed below were used during the weight sizing process for the three parameters. As stated
previously, these values were based off assumptions made from existing aircrafts within the transport
class and Roskam.
CLmax – 1.8
CLmax,TO – 2.37
CLmax,L – 2.85
Using Equations 16 and 17 obtained from Roskam, the incremental values of lift required for both
takeoff and landing. It can be seen from the calculations above that the incremental lift coefficient values
are low enough that a fowler flap can be used to meet the required lift increments.
( ) (16)
( ) (17)
For this step, Equations 18 and 19 were used to find the required value. The equations are shown
below.
( )
(18)
( ( ( ))) ( ) (19)
Swf is the flap wing area. The value for wing area, S is 5,604 ft2
. Arbitrary values for the ratio were
chosen in order to find the incremental lift coefficient for both the takeoff and landing portions. The
sweep correction factor found using equation 34 used the sweep angle of 28° previously determined.
Table 10-III below showcases the calculated incremental lift coefficient for various flap ratios.
Table 10-III: Takeoff and Landing Flap down Required Incremental Lift Coefficient
Swf/S 0.1 0.2 0.3 0.4
ΔCl,max,TO 5.42 2.71 1.81 1.35
ΔCl,max,L 9.98 4.99 3.33 2.49
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Georgia Institute of Technology
Using Equation 20 obtained from Roskam Part II, the incremental lift coefficient required due to flaps
can be calculated.
( )
(20)
Using the figures in Roskam, the K values were chosen from the graph, which corresponds to a flap
chord ratio of 0.4 which was chosen after the iteration process explained below. Using this values and the
equation above, the incremental lift coefficient was found for the various cases from table 5.
Table 10-IV: Incremental Lift Coefficient Values
Swf/S 0.1 0.2 0.3 0.4
ΔCl,req (takeoff) 5.83 2.91 1.94 1.46
ΔCl,req (landing) 10.73 5.37 3.58 2.68
Next, the flap deflection was chosen based on if it could produce the required incremental sectional lift
coefficient. As stated in Roskam, the magnitude of depends on the flap chord ratio, type of flaps used
and the flap deflection angle. Initially, the assumption was made to used fowler flaps and calculate the
produced as both the flap deflection and the flap chord ratio varied. Equation 7.12 and figures 7.4 and 7.5
from Roskam were used in conjunction in order to find the various combinations of flap deflection and
flap chord ratio. Table 10-V below showcases the final results of the convergence between the
incremental sectional lift coefficients required versus calculated.
Table 10-V: Convergence Results for Degree Deflection
Angle of deflection 10 15 20 25 30 35
ΔCl,calculated (takeoff) 0.80 1.17 1.53 1.85 2.17 2.44
ΔCl,calculated (landing) 0.80 1.19 1.59 2.00 2.39 2.78
As can be seen, the best correlation between the required and calculated incremental lift coefficient
accords where cf/c = 0.3 and Swf/S = 0.4. There values correspond to a flap deflection of 20° for the
takeoff and 35° for the landing.
Finally, the flap length can be calculated using the values found above. A convergence method was
employed using the Swf/S ratio and the known wing area. The length of the flap was assumed to be the
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Georgia Institute of Technology
height of a trapezoid with the bases calculated using the flap chord ratio. Using this method, the flap
length was calculated. Table 10-VI tabulates all the results that have been calculated.
Table 10-VI: Summary of Flap Sizing Results
Parameter Variable Name Units Value
Flap length ~ ft 40
Flap type ~ ~ Fowler
Takeoff deflection δf,TO degrees 20
Landing deflection δf,L degrees 35
Flap to wing area ratio Swf/S ~ 0.4
Flap chord to wing chord ratio cf/c ~ 0.3
The location of the lateral control surface design is based purely on the compatibility with the high lift
devices. Since there is not an exact process for sizing the lateral control surface, Tables 8.12b in Roskam
Part II was used as a guide to size the aileron and outboard spoiler. Hence based on the compatibility with
the flap and also looking at the historical data of similar aircrafts, the aileron length was chosen to be 30
feet.
Spars support the loads experienced by the wing. As such, their placement plays an important role in
the sizing of the wing. As stated in Roskam, a clearance of 0.005c is required between the spar lines and
the outlines of the high lift devices and the aileron and spoiler. With the help of Roskam, the front spar
was placed at 0.25c and the rear chord was placed at 0.695c. The rear spar mainly helps in attaching the
high lifting and lateral stability devices. The remaining length, 0.3c is covered by the flaps, ailerons, and
spoilers. Table 10-VII below documents the spar locations.
Table 10-VII: Front and rear spar location
Parameter Variable Name Units Value
Front Spar F.S. ft 5.91
Rear Spar R.S. ft 16.56
It is assumed that the wing fuel is carried in the “wet wing” and that there is no additional fuel tanks
within the fuselage of the aircraft. As stated previously, the fuel is assumed to be stored in the wing
torque box and within 85% span as discussed in Roskam Part II. Due to the high vulnerability of the
aircraft structures, the fuel is not stored in the wingtips. Furthermore, no fuel is carried beyond the 85%
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Georgia Institute of Technology
span point in order to prevent lightning strikes from starting in-flight fires. Total wing fuel volume is
calculated and compared with the total fuel requirement for the mission. The wing fuel volume is
calculated using Equation 21 from Roskam.
( )( ) {
( )
} ( )
(21)
Given the value of t/c, cr and ct, an estimate of (t/c)r = 0.13 and the (t/c)t = 0.13.
( )
( )
(22)
The fuel volume was calculated to be 7,619 ft3
. From the weight sizing process, the fuel weight
required was calculated to be 183,600 lb. The fuel density was assumed to be 49 lb/ft3
, which was taken
from Roskam Part II. Using this density and the fuel weight, the fuel volume required was calculated to
be 4,378 ft3
. As can be seen, the wing provides enough fuel volume to store the required fuel. Table
10-VIII documents the results found.
Table 10-VIII. Fuel Weight and Volume Parameters
Parameter Variable
Name
Units Value Comments
Wing Fuel Volume VWF ft3
7,619 Calculated
Total fuel weight WFuel lb 214,540 Calculated from Weight Sizing
Total fuel volume
required
VFuelRequired ft3
4,378 Calculated using density as 49
lb/ft3
10.4 Final Wing, Flap, and Lateral Control Layout
Figure 10-4 is a dimensioned drawing of the wing planform. All dimensions are in feet and a line is
drawn at the quarter chord point, where the sweep angle is measured.
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Georgia Institute of Technology
Figure 10-4: Dimensioned Drawing of Wing Planform
Figure 10-5 shows the wing planform with the high-lift devices, such as flap, aileron, and spoiler. All
of these control devices are hinged at approximately 70% of the total chord. The location and size of the
spoiler was obtained by determining the average of historical spoiler data from the same tables.
Figure 10-5: Flap and Lateral Control Layout
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Georgia Institute of Technology
10.5 Wing Design Optimization
In order to study potential increases in fuel efficiency a preliminary optimization on the wing planform
was conducted. A model for transonic flow developed in (Sankar, 1987) was incorporated into an
automated optimization process. The transonic flow model was used to provide values of CL and CD for
randomly generated planforms. The generated planforms had the same leading edge, wing area, span,
taper ratio, and root chord. The difference between them was the distribution of the chords along the span.
1,000 randomly generated wing planforms were ran through the transonic flow simulation. Of those
1,000, 234 planforms were able to meet the required CL cruise from the weight sizing process.
On Figure 10-6 the 234 wings were sorted by lift to drag ratio. For comparison, the conventionally
designed wing was also plotted. The optimized wing planform resulted in a 40% increase in lift to drag
and 9% decrease in drag at cruise conditions. The planform not only met the required CL but exceeded it
by over 20%. This indicates that a lower angle of attack could be used at cruise, resulting in even lower
cruise drag compared to the conventional wing.
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Georgia Institute of Technology
Figure 10-6. Lift to drag of wings that met the CL required.
On Figure 10-7, the red line indicates the trailing edge of the optimized planform, the yellow dashed
line the conventional and the blue line the leading edge. The optimized planform has an increased chord
near the root and decreased near the tip. This was a common trend with all of the planforms with
increased lift to drag ratios. The same trend can be seen in the Boeing 787, the wing is thicker at the chord
and tapers off faster than conventional wings.
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Georgia Institute of Technology
Figure 10-7. Wing planform comparison.
Even with the improvements in lift to drag and cruise drag the optimized planform was not
incorporated into our design. The major reasons for this were an increase in structural complexity, and
placement of control surfaces. Due to the sudden decrease in chord near the tip, the structure of the wing
would have to be reinforced when compared to a conventional design. This would likely lead to an
increase in the weight of the wing. The best placement of ailerons is near the wing tips in order to
increase the moment arm. The decreased chord would make the aileron placement near the wing tips
more difficult. In more advanced stages of design, it might be possible to incorporate this type of analysis
in order to create a more efficient wing.
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Georgia Institute of Technology
11 Tail Sizing
11.1 Horizontal and Vertical Stabilizer Sizing
This aircraft is designed with a T-tail instead of a conventional tail to improve performance and
handling qualities. During the configuration selection process, a conventional tail design was ruled out for
several reasons. The primary reason is to keep the horizontal tail out of the wake of the wings and
fuselage. This allows for a greater dynamic pressure on the horizontal tail and elevators so that a smaller
surface is needed. The vertical tail also sees a benefit in the form of reduced 3D effects. The horizontal
tail functions as an endplate which improves the aerodynamic efficient of the tail, allowing a smaller size
with more effective handling qualities.
The sizing process for both the horizontal and vertical tails was followed according to the process
described in Reference (Roskam J. , Airplane Design Part II: Preliminary Configuration Design and
Integration of the Propulsion System, 2004). The tail volume, a sizing parameter which reflects an
aircraft’s ability to provide stability, was determined using historical values commensurate with the
aircraft size and performance for both the horizontal and vertical tails. The horizontal tail volume is 0.65,
while the vertical tail volume is 0.08. For comparison, the tail volumes of the C-5 Galaxy are 0.62 and
0.079 for the horizontal and vertical tails, respectively.
Using the wing area, wingspan, and wing geometric chord, the tail surface areas are calculated.
The aspect ratio, taper ratio, and all other relevant tail parameters are chosen using the Table 8.10a and
Table 8.10b from Roskam’s Part II book (Roskam J. , Airplane Design Part II: Preliminary Configuration
Design and Integration of the Propulsion System, 2004). The selected tail parameters, along with the
calculated geometric specifications, are shown in Table 11-I and Table 11-II.
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Georgia Institute of Technology
Table 11-I. Horizontal tail sizing parameters and calculations.
Horizontal Tail
Parameter Variable Name Units Value
Horizontal Moment Arm xh ft 118.73
Horizontal Tail Volume Vh ~ 0.65
Surface Area Sh ft2
725.80
Aspect Ratio AR ~ 5.00
Sweep Angle (c/4) Lc/4 degrees 24.00
Sweep Angle (LE) LLE degrees 28.60
Taper Ratio l ~ 0.50
Thickness Ratio (t/c)h % 0.12
Airfoil ~ NACA 0012
Dihedral Gh degrees 0.00
Incidence Angle ih degrees 0.00
Tail Span bh ft 60.24
Root Chord cRh ft 16.06
Tip Chord cTh ft 8.03
Root Thickness tRh in 23.13
Tip Thickness tTh in 11.57
Wing Mean Geometric Chord ch ft 12.05
Min Pressure Coef. @ Zero AOA Cp0min ~ -0.40
Critical Mach Number (DM > 0.05) Mcr_HT ~ 0.91
Table 11-II. Vertical tail sizing parameters and calculations.
Vertical Tail
Parameter Variable Name Units Value
Vertical Moment Arm xh ft 110.00
Vertical Tail Volume Vh ~ 0.08
Surface Area Sh ft2
965.41
Aspect Ratio AR ~ 1.80
Sweep Angle (c/4) Lc/4 degrees 20.00
Sweep Angle (LE) LLE degrees 36.97
Taper Ratio l ~ 0.70
Thickness Ratio (t/c)h % 0.12
Airfoil ~ NACA 0015
Dihedral Gh degrees 0.00
Incidence Angle ih degrees 0.00
Tail Span bh ft 58.95
Root Chord cRh ft 19.27
Tip Chord cTh ft 13.49
Root Thickness tRh in 27.74
Tip Thickness tTh in 19.42
Wing Mean Geometric Chord ch ft 16.38
Min Pressure Coef. @ Zero AOA Cp0min ~ -0.40
Critical Mach Number (DM > 0.05) Mcr_HT ~ 0.91
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Georgia Institute of Technology
Dimensioned drawings of the horizontal tail and vertical tail are shown in Figure 11-1 and Figure
11-2 below, along with added control surfaces. The detailed sizing of the control surfaces is continued in
the next subsection.
Figure 11-1. Dimensioned drawing of horizontal tail.
Figure 11-2. Dimensioned drawing of vertical tail.
11.2 Elevator and Rudder Sizing
The sizing of the empennage control surfaces is carried out to provide adequate longitudinal and
direction authority necessary to trim the aircraft correctly and to correct for an engine out condition. The
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Next Generation Military Cargo Aircraft Design

  • 1. The C-1 Flying Roc: A Next Generation Military Cargo Transport Aircraft AE 4351 Design Team 6: Marsal Bruna Gautham Kumar Brandon Liberi Michael Lopez Nana Obayashi Junjie Zhai April 24, 2015
  • 2. I certify that I have abided by the honor code of the Georgia Institute of Technology and followed the collaboration guidelines as specified in the project description for this assignment. _______________________________________ Marsal Bruna _______________________________________ Gautham Kumar _______________________________________ Brandon Liberi _______________________________________ Michael Lopez _______________________________________ Nana Obayashi _______________________________________ Junjie Zhai
  • 3. i Georgia Institute of Technology Executive Summary The next generation strategic airlift military transport proposed in this document is the C-1 Flying Roc, designed in response to the Request for Proposal (RFP) by the armed forces for an aircraft system capable of augmenting the overall performance of the current fleet. This modernization to the fleet will provide major improvements over the current generation of aircraft such as the C-5 Galaxy and the C-17 Globemaster. As per the RFP, this vehicle is to have a 2030 entrance into service (EIS) date. This aircraft proposal lays out a mission profile for a design payload of 205,000 lb with the capability to conduct operations with payload weights up to 300,000 lb. The method used for the weight sizing process is presented along with the considerations made in order to meet specific performance requirements such as engine inoperative and hot day takeoff conditions. These considerations ensure that the C-1 can fly in adverse conditions as well as recover and be safely controlled in the event of a failure. The aircraft has been designed for tactical approaches and landings such that ground track and landing times are minimized. These characteristics are desirable in order to maximize the efficiency of landing, loading, and takeoff such that the vehicle can maximize air time and minimize ground time. This performance has a large impact on the profitability of the aircraft. These efforts also result in a substantial improvement on the low altitude performance of the current generation military transport fleet which the armed forces utilize. The increased performance and flight operations of the next generation strategic air lifter are balanced with an effective cost and maintainability that is necessary for a modern armed force. The fly-away cost of $402.1M of the system has been minimized with standard manufacturing and tooling techniques proven on past aircraft. This is a 22% reduction over the fly-away cost per vehicle of the C-17. In addition, the operation and support cost of the vehicle has been minimized as this has a large impact on the lifetime cost of the vehicle. The annual operation and support cost per vehicle is $13.3M, a 29% reduction over the annual cost of a C-17.
  • 4. ii Georgia Institute of Technology Table of Contents Executive Summary..................................................................................................................................................i Table of Contents.................................................................................................................................................... ii List of Figures..........................................................................................................................................................v List of Tables ........................................................................................................................................................ vii 1 Introduction ......................................................................................................................................................1 1.1 Aircraft Summary ....................................................................................................................................1 2 Configuration Selection....................................................................................................................................3 2.1 Figures of Merit Analysis ........................................................................................................................3 2.2 Comparative Study ..................................................................................................................................3 2.3 Chosen Preliminary Configuration ..........................................................................................................5 3 Mission Specification and Decisions................................................................................................................5 3.1 Mission Segments....................................................................................................................................5 3.1.1 Climb ..............................................................................................................................................6 3.1.2 Cruise..............................................................................................................................................6 3.1.3 Takeoff............................................................................................................................................7 3.1.4 Landing ...........................................................................................................................................7 3.1.5 Range ..............................................................................................................................................8 3.2 Mission Profile.........................................................................................................................................8 3.3 Payload Range Charts..............................................................................................................................9 3.4 Stakeholder Analysis .............................................................................................................................10 4 Advanced Technology....................................................................................................................................11 4.1 Geared Turbofan....................................................................................................................................11 4.2 Natural Laminar Flow Airfoil................................................................................................................12 4.3 Composite Materials in Aircraft Design ................................................................................................13 4.4 Spiroid Winglet......................................................................................................................................14 4.5 Weight Sizing Technology Factors........................................................................................................15 5 Weight Sizing.................................................................................................................................................16 5.1 Weight Regression.................................................................................................................................16 5.2 Takeoff Weight Convergence................................................................................................................17 5.3 Drag Polar Convergence........................................................................................................................18 5.4 Sensitivity Studies .................................................................................................................................18 6 Constraint Sizing ............................................................................................................................................21 6.1 Constraint Sizing ...................................................................................................................................21 6.2 Additional Constraints ...........................................................................................................................22 6.3 Preliminary Sizing Results.....................................................................................................................23 7 Performance....................................................................................................................................................24 7.1 Takeoff...................................................................................................................................................24
  • 5. iii Georgia Institute of Technology 7.2 Climb .....................................................................................................................................................25 7.3 V-n Diagram ..........................................................................................................................................26 8 Fuselage Sizing...............................................................................................................................................27 8.1 Payload Considerations..........................................................................................................................27 8.2 Internal Cargo Fitting.............................................................................................................................28 8.3 Final Fuselage Layout............................................................................................................................30 9 Cockpit Layout...............................................................................................................................................32 10 Wing Sizing................................................................................................................................................34 10.1 Airfoil Selection and Analysis...............................................................................................................35 10.2 General Wing Planform Sizing..............................................................................................................37 10.3 High-Lift Device Sizing.........................................................................................................................38 10.4 Final Wing, Flap, and Lateral Control Layout.......................................................................................42 10.5 Wing Design Optimization ....................................................................................................................44 11 Tail Sizing..................................................................................................................................................47 11.1 Horizontal and Vertical Stabilizer Sizing ..............................................................................................47 11.2 Elevator and Rudder Sizing ...................................................................................................................49 11.3 Final Tail Layout ...................................................................................................................................50 12 Structure and Manufacturing......................................................................................................................51 13 Subsystem Considerations .........................................................................................................................54 13.1 APU .......................................................................................................................................................54 13.2 Fuel Pumps ............................................................................................................................................55 13.3 Avionics.................................................................................................................................................55 13.4 Electrical System ...................................................................................................................................55 13.5 Electrohydraulic Actuator......................................................................................................................55 13.6 Ram Air Turbine....................................................................................................................................55 13.7 Defensive Subsystems ...........................................................................................................................56 14 Weight and Balance Analysis ....................................................................................................................56 14.1 Class I Component Weight Breakdown.................................................................................................56 14.2 Center of Gravity of Class I Weight Components .................................................................................58 14.3 Weight-C.G. Excursion Diagram and Feasibility of Design..................................................................61 15 Landing Gear Sizing ..................................................................................................................................63 15.1 Geometric Criteria for Landing Gears ...................................................................................................63 15.2 Final Landing Gear Configuration and Retracting Feasibility...............................................................65 16 Stability and Control ..................................................................................................................................67 16.1 Neutral Point..........................................................................................................................................67 16.2 Static Margin .........................................................................................................................................68 16.3 Static Stability Derivatives ....................................................................................................................69 16.4 Dynamic Stability ..................................................................................................................................70 17 Final Layout ...............................................................................................................................................72
  • 6. iv Georgia Institute of Technology 18 Ground Operations.....................................................................................................................................77 19 Cost and Business Plan ..............................................................................................................................81 19.1 Procurement & Development Cost ........................................................................................................81 19.1.1 Engineering Hours ........................................................................................................................82 19.1.2 Tooling Hours ...............................................................................................................................82 19.1.3 Development Support Costs..........................................................................................................83 19.1.4 Flight Test Costs ...........................................................................................................................83 19.1.5 Manufacturing Costs.....................................................................................................................83 19.1.6 Quality Assurance Cost.................................................................................................................83 19.1.7 Procurement & Development Cost Conclusion ............................................................................84 19.2 Operating & Support Costs....................................................................................................................84 19.3 Business Plan.........................................................................................................................................85 20 Conclusion .................................................................................................................................................87 21 References..................................................................................................................................................88
  • 7. v Georgia Institute of Technology List of Figures Figure 1-1. Right isometric of painted aircraft.........................................................................................................2 Figure 2-1. Configuration one model.......................................................................................................................4 Figure 2-2: Configuration two model. .....................................................................................................................4 Figure 2-3: Configuration three model. ...................................................................................................................4 Figure 3-1. Mission profile diagram. .......................................................................................................................9 Figure 3-2. Payload range chart. ..............................................................................................................................9 Figure 3-3: Stakeholder analysis chart...................................................................................................................11 Figure 4-1. Waterfall chart showcasing reductions in takeoff weight with the additions of technology. ..............16 Figure 5-1. Weight regression plot. .......................................................................................................................17 Figure 5-2. Climb 1 rate of climb sensitivity study................................................................................................19 Figure 5-3. Cruise 2 altitude sensitivity study........................................................................................................20 Figure 5-4. Cruise 2 Mach number sensitivity study. ............................................................................................21 Figure 6-1. Constraint sizing plot. .........................................................................................................................22 Figure 6-2. Additional constraint sizing.................................................................................................................23 Figure 7-1: V-n Diagram .......................................................................................................................................27 Figure 8-1. Omni-directional rollers. .....................................................................................................................29 Figure 8-2. Cross-section design of fuselage cargo space......................................................................................30 Figure 8-3. Geometric parameters of fuselage.......................................................................................................31 Figure 9-1. ISO view of cockpit.............................................................................................................................32 Figure 9-2. Dimensioned three-view of seating arrangements in the cockpit. .......................................................33 Figure 9-3. Side-view of nose part of fuselage. .....................................................................................................34 Figure 10-1. Geometry of HSNLF213 airfoil. .......................................................................................................36 Figure 10-2. Lift curve slope of HSNLF213..........................................................................................................36 Figure 10-3. Lift coefficient plotted against drag coefficient for HSNLF213. ......................................................36 Figure 10-4: Dimensioned Drawing of Wing Planform.........................................................................................43 Figure 10-5: Flap and Lateral Control Layout .......................................................................................................43 Figure 10-6. Lift to drag of wings that met the CL required...................................................................................45 Figure 10-7. Wing planform comparison...............................................................................................................46 Figure 11-1. Dimensioned drawing of horizontal tail. ...........................................................................................49 Figure 11-2. Dimensioned drawing of vertical tail. ...............................................................................................49 Figure 11-3. Overall layout of empennage. ...........................................................................................................51 Figure 12-1. Structure layout. ................................................................................................................................52 Figure 13-1. Side view of subsystem placement....................................................................................................54 Figure 13-2. Top view of subsystem placement. ...................................................................................................54 Figure 14-1. C.g. travel for aircraft without cargo. ................................................................................................61 Figure 14-2. C.g travel for aircraft one Wolverine Bridge.....................................................................................61 Figure 14-3. C.g travel for aircraft with 2 M-1 Abrams tanks. ..............................................................................62 Figure 14-4. C.g travel for aircraft with 205,000 pound cargo. .............................................................................62 Figure 14-5. C.g travel for aircraft with 300,000 pound cargo. .............................................................................62 Figure 15-1. Longitudinal tip-over criteria and ground clearance. ........................................................................63 Figure 15-2. Lateral ground clearance. ..................................................................................................................63 Figure 15-3. Lateral tip-over criteria......................................................................................................................64 Figure 15-4. Diagram for static load calculation....................................................................................................65 Figure 15-5. Three-view of nose and main landing gear. ......................................................................................66 Figure 15-6. Nose gear retracting process..............................................................................................................66 Figure 15-7. Main gear retracting process. ............................................................................................................67 Figure 16-1. AVL input geometry. ........................................................................................................................68 Figure 16-2. Dynamic mode eigenvalues...............................................................................................................71 Figure 17-1. Aircraft Front View...........................................................................................................................72 Figure 17-2. Aircraft Top View .............................................................................................................................72 Figure 17-3. Aircraft Side View ............................................................................................................................73 Figure 17-4. Aircraft Key Components .................................................................................................................73
  • 8. vi Georgia Institute of Technology Figure 17-5. Powerplant Layout ............................................................................................................................74 Figure 17-6. Series of drawings showing operation of nose and tail doors with their loading ramps deploying...75 Figure 17-7. Three view of aircraft........................................................................................................................76 Figure 18-1: Master Pallet Loading Configuration................................................................................................78 Figure 18-2: AH-64 Apache Loading Configuration.............................................................................................79 Figure 18-3: M1A1 Loading Configuration...........................................................................................................79 Figure 18-4: M2A3 Loading Configuration...........................................................................................................80 Figure 18-5: Wolverine Loading Configuration ....................................................................................................81 Figure 19-1. Procurement and development cost...................................................................................................84 Figure 19-2. Operating and support cost................................................................................................................85
  • 9. vii Georgia Institute of Technology List of Tables Table 2-I. Aircraft configuration options.................................................................................................................3 Table 2-II. Figures of merit analysis........................................................................................................................5 Table 3-I. Climb Performance .................................................................................................................................6 Table 3-II. Cruise Performance................................................................................................................................6 Table 3-III. Takeoff Performance. ...........................................................................................................................7 Table 3-IV. Landing Performance ...........................................................................................................................7 Table 3-V: Stakeholder interests............................................................................................................................11 Table 4-I. Technology impact table. ......................................................................................................................15 Table 5-I. Weight regression aircraft. ....................................................................................................................16 Table 6-I. Preliminary sizing results. .....................................................................................................................24 Table 7-I. Balanced field length and intermediate values for varying engine and takeoff conditions. ..................25 Table 7-II. Climb gradient, rate of climb, and intermediate values for varying engine and takeoff conditions.....25 Table 8-I. Payload characteristics. .........................................................................................................................28 Table 8-II. Minimum cargo space dimension calculation......................................................................................28 Table 8-III. Dimension of cargo space...................................................................................................................29 Table 8-IV. Components in the fuselage................................................................................................................31 Table 8-V. Geometric parameters of fuselage. ......................................................................................................31 Table 10-I. Critical Mach number values for each airfoil and intermediate values. ..............................................35 Table 10-II. Summary of wing parameters. ...........................................................................................................38 Table 10-III: Takeoff and Landing Flap down Required Incremental Lift Coefficient .........................................39 Table 10-IV: Incremental Lift Coefficient Values.................................................................................................40 Table 10-V: Convergence Results for Degree Deflection......................................................................................40 Table 10-VI: Summary of Flap Sizing Results ......................................................................................................41 Table 10-VII: Front and rear spar location ............................................................................................................41 Table 10-VIII. Fuel Weight and Volume Parameters ............................................................................................42 Table 11-I. Horizontal tail sizing parameters and calculations. .............................................................................48 Table 11-II. Vertical tail sizing parameters and calculations.................................................................................48 Table 11-III. Empennage control surface sizing. ...................................................................................................50 Table 12-I. Geometric information of fuselage structure.......................................................................................51 Table 12-II. Geometric data of structural layout for wing, vertical tail, and horizontal tail. .................................52 Table 12-III. Aircraft Material Selection ...............................................................................................................53 Table 14-I. Empirical fraction weight estimates. ...................................................................................................57 Table 14-II. System weight estimates from various sources..................................................................................57 Table 14-III. Weight estimate and calculation comparisons..................................................................................58 Table 14-IV. Payload weights and quantities. .......................................................................................................58 Table 14-V. Center of gravity calculations. ...........................................................................................................59 Table 14-VI. Center of gravity locations for all payload configurations. ..............................................................60 Table 15-I. Static load per strut calculation result. ................................................................................................65
  • 10. 1 Georgia Institute of Technology 1 Introduction This report details the design and analysis of a next generation military cargo transport aircraft as a response to the RFP provided by the armed forces. The primary motivation for this new aircraft design is the rapidly aging fleet of cargo transport aircraft currently used by the armed forces. While still capable and valuable, aircraft such as the C-5 and C-17 were designed many years ago and rely heavily on technology that can be vastly improved upon in a new aircraft. Therefore, the armed forces have expressed interest in designing and building a new aircraft which is capable of performing all of the missions currently flown by the C-5 and C-17, while taking advantage of new technologies to optimize performance, minimize vehicle weight, and minimize cost. This aircraft meets all of the requirements stated in the RFP by using an iterative design process and by justifying each engineering decision with sensitivity studies. In addition to the sizing analysis, individual component design are performed to determine the optimal wing, fuselage, tail, and landing gear design and layout. Once the design of the vehicle is completed, characteristics such as specific segment performance and the aircraft stability are analyzed to demonstrate that the vehicle meets and exceeds all requirements for optimal operation. The final analysis that is performed on this vehicle is the determination of both the development and procurement cost and the operating cost of the vehicle. These two results are very important to the economic viability of this aircraft in today’s competitive market. Throughout the design process, decisions will be made in order to attempt to maximize performance while still minimizing the overall costs. 1.1 Aircraft Summary The aircraft proposed is a high wing, cargo aircraft powered by two wing mounted geared turbofan engines. The aircraft has wings with 28° of sweep and a T-tail empennage configuration. A nose and tail door with loading ramps facilitates the loading and off-loading of cargo. The overall aircraft can be seen in Figure 1-1.
  • 11. 2 Georgia Institute of Technology Figure 1-1. Right isometric of painted aircraft.
  • 12. 3 Georgia Institute of Technology 2 Configuration Selection 2.1 Figures of Merit Analysis The first step in beginning the design process for this aircraft was to determine a desired configuration of the major components. In order to determine optimal configuration for this aircraft, a figures of merit analysis was used to weight each of the configurations based on performance and design characteristics. These characteristics were chosen based on the requirements and guidelines as stated in the RFP. The chosen figures of merit for this analysis included structural weight, cargo space, maintenance, manufacturability, logistics and stability and controllability. Existing military aircraft such as the C-5 and the C-17 were examined in order to determine realistic configuration options. In addition, futuristic and experimental aircraft designs were examined. For each of the figures of merit, a weighting ranging from 1 to 5 was assigned based on the relative importance of that figure of merit on the overall design. In the same way, a score was assigned for each configuration ranging from 1 to 5 based on how well it achieved the figure of merit. The overall score of a configuration is the sum of the products between the weight of the figure of merit and the score of that particular configuration. 2.2 Comparative Study Instead of doing a figures of merit analysis for each possible component choice, three overall aircraft configurations were created based on both conventional and potential aircraft designs. Table 2-I below lists the major design components considered for each configuration and the options that were chosen. Table 2-I. Aircraft configuration options. Design Options Configuration 1 Configuration 2 Configuration 3 Number of fuselage single fuselage single fuselage single fuselage Fuselage Shape round fuselage round fuselage round fuselage Wing Location high mounted wing low mounted wing high mounted wing Wing Sweep aft wing sweep aft wing sweep aft wing sweep Wing Taper tapered wing tapered wing box wing Use of Canard no canard no canard no canard Number of Engines 2 engines 2 engines 2 engines Engine Location engines on wing engines on wing engines on wing Engine Type turbofan turbofan turbofan Tail Shape T-tail conventional tail box wing tail Landing Gear Configuration tricycle landing gear tricycle landing gear tricycle landing gear
  • 13. 4 Georgia Institute of Technology A model for each of these configurations was created to provide a visual representation of what each configuration might look like. These models are shown in Figure 2-1, Figure 2-2, and Figure 2-3 below. Figure 2-1. Configuration one model. Figure 2-2: Configuration two model. Figure 2-3: Configuration three model.
  • 14. 5 Georgia Institute of Technology Each of these configurations was scored using the figures of merit analysis. The result of this analysis is shown below in Table 2-II. Table 2-II. Figures of merit analysis. FOM Weighting Configuration 1 Configuration 2 Configuration 3 Structural Weight 4 4 5 3 Cargo Space 5 5 5 5 Maintenance (cost) 3 4 4 3 Manufacturability (cost) 3 3 3 1 Logistics 4 5 3 2 Stability and Control 2 5 4 4 Total 21 92 86 65 2.3 Chosen Preliminary Configuration The result of the figure of merit analysis was the selection of configuration one as the design configuration. This aircraft has a single, round fuselage, a high mounted, aft swept, tapered wing with no canard, two turbofan engines mounted below the wings, a t-tail, and tricycle landing gear. This aircraft is highly conventional and does not deviate greatly from current aircraft configurations. Therefore, the improvements in the newly designed aircraft over any aircraft currently in service will come from the technologies used as a part of the design. 3 Mission Specification and Decisions 3.1 Mission Segments In order to analyze the vehicle to determine a takeoff weight, a mission for the vehicle must be designed. The basic segments of the mission are start, taxi, takeoff, climb, cruise, descent, and landing. In addition, there is a 200 nautical mile reserve that is assumed to be performed at the end of the cruise. To optimize the performance of the vehicle throughout the mission, each of the segments has been divided into smaller segments to determine the optimal mission parameters at each segment such as altitude, flight speed, and rate of climb. The cruise segment has been divided into three smaller step cruise segments for improved performance, cruise at higher altitudes becomes more efficient as the aircraft becomes lighter
  • 15. 6 Georgia Institute of Technology due to burned fuel. The climb and descent segments were divided into smaller segments based on trade study analysis. These trade studies will be demonstrated later in the report as a component of the weight sizing process. 3.1.1 Climb The climb segment of the mission profile for this aircraft contains an initial climb up to 10,000 feet based on the maximum speed of 250 kts below 10,000 feet. The climb from 10,000 feet to the chosen initial cruise altitude is divided into four climbs at varying rates of climb and forward velocities. This is done to optimize the overall fuel efficiency of the vehicle to reduce the fuel weight required for the mission. The climb performance parameters for each segment are shown in Table 3-I. The rate of climb for the final climb segment is calculated such that the requirement that the total time to climb to cruise altitude with a 205,000 lb payload be no more than 20 minutes is met. Table 3-I. Climb Performance Mission Segment Initial Altitude (ft) Final Altitude (ft) Rate of Climb (ft/min) Mach Number Climb 1 0 10,000 2,250 0.38 Climb 2a 10,000 15,625 2,000 0.50 Climb 2b 15,625 21,250 1,500 0.50 Climb 2c 26,875 26,875 1,400 0.60 Climb 2d 32,500 32,500 1,131 0.60 3.1.2 Cruise The cruise segment of the mission for this aircraft is divided into three step cruise segments. This is the maximum number of step cruise segments allowed as described by the RFP. The step cruise is optimal because as the aircraft burns fuel and becomes lighter, the aircraft can improve fuel efficiency by flying at a higher altitude. For each cruise segment, the altitude and speed are optimized to maximize the specific range of the vehicle. The cruise performance parameters for each step cruise segment are shown below in Table 3-II. Table 3-II. Cruise Performance Mission Segment Altitude (ft) Mach Number Cruise 1 32,500 0.65 Cruise 2 39,000 0.70
  • 16. 7 Georgia Institute of Technology Cruise 3 40,000 0.70 3.1.3 Takeoff One of the required performance metrics for this aircraft is that the balanced field length be no greater than 9,000 ft. This requirement must apply at all potential takeoff conditions including the hot day and high altitude requirements. In order to meet these requirements, a constraint sizing analysis was performed to determine the appropriate engine thrust. For the three required takeoff conditions, the important constraint inputs that vary for each condition as well as the resulting thrust to weight ratio at sea level takeoff are shown below in Table 3-III. Table 3-III. Takeoff Performance. Takeoff Segment CL,clean CD ρ (slug/ft3 ) T/W ISA at MSL 1.10 0.071 0.002378 0.150 ISA + 30°C 1.21 0.080 0.002153 0.178 ISA + 10°C at MSL + 10,000 ft 1.54 0.112 0.001692 0.249 The thrust to weight design point for the overall aircraft was chosen to be 0.25 due to the hot day and high altitude takeoff requirement. As these two segments required the largest thrust to weight required. 3.1.4 Landing Similarly to the takeoff, the landing requirement was also analyzed at three required conditions. The landing is of great importance due to it setting a maximum limit for the wing loading at takeoff for the vehicle. For the three required landing conditions, the important constraint inputs that vary for each condition as well as the resulting maximum wing loading values at takeoff are shown below in Table 3-IV. Table 3-IV. Landing Performance Landing Segment ρ (slug/ft3 ) W/S (lb/ft2 ) ISA at MSL 0.002378 173 ISA + 30°C 0.002153 156 ISA + 10°C at MSL + 10,000 ft 0.001692 123 Once again, the design point is driven by the hot day at high altitude requirement. This requirement resulted in a wing loading at takeoff for the aircraft that can be no greater than 123 lb/ft2 .
  • 17. 8 Georgia Institute of Technology 3.1.5 Range The total range of the aircraft was determined as a sum of the horizontal distance travelled for each mission segment. For the cruise segments, the design range of 6,300 nm was split equally into three 2,100 nm segments. The reserve range of 200 nm is added at the end of the final cruise segment. For the climb and descent segments, the horizontal distance travelled was calculated according to Equation 1. (1) The altitude change, rate of climb, and Mach number are selected using sensitivity studies to determine optimal values based on the specific range and thrust to weight ratio. The speed of sound is calculated as an average value over the range of altitudes travelled during the climb or descent segment. Using this approach, the overall range of the vehicle for the designed mission payload of 205,000 lb. is calculated to be 6,805 nm. This range encompasses common military transport routes between Europe and combat zones in the Middle East as well as flights from the continental U.S. to either Europe or Asia. 3.2 Mission Profile Once all the performance characteristics were determined for each segment of the mission, the finalized mission profile was created. The final result of the mission profile optimization was a climb up to 10,000 feet followed by a four part step climb up to the initial cruise altitude of 32,500 feet. This initial cruise was the first of the three part step cruise. The second and third segments of the step cruise took place at 39,000 and 40,000 feet respectively. Finally, the descent was broken into two segments above 10,000 feet and one segment below. The finalized mission profile can be seen below in Figure 3-1.
  • 18. 9 Georgia Institute of Technology Figure 3-1. Mission profile diagram. 3.3 Payload Range Charts After performing the weight and constraint sizing to determine the takeoff weight and empty weight of the vehicle at the design point, it is also useful to know the range of the aircraft when carrying varying payload weights. By determining the range at each of these payload weights, the overall payload range chart for the aircraft can be created. For this aircraft, the payload range chart is shown below in Figure 3-2. Figure 3-2. Payload range chart. Design Point Maximum Payload Ferry Range 120,00 lb payload Max Fuel Weight 0 50,000 100,000 150,000 200,000 250,000 300,000 350,000 0 2000 4000 6000 8000 10000 12000 14000 16000 18000 PayloadWeight(lb) Range (nm)
  • 19. 10 Georgia Institute of Technology The points used to generate this payload range chart were a maximum payload of 300,000 lb., the design point of 205,000 lb., the performance requirement of 120,000 lb., the max fuel weight of 368,585 lb. with a payload of 50,950 lb., and the ferry range calculated at the max fuel weight of 368,585 lb. with no payload. For this aircraft, the original design payload of 120,000 lb. was increased to a design payload of 205,000 lb. The reason for this increase in payload was twofold. The initial design with a payload of 120,000 lb. was unable to accommodate the maximum payload requirement of 300,000 lb. In addition, two of the required payload cargo, the M104 Wolverine and the M1A Abrams tank exceed the weight of the initial design payload of 120,000 lb. Therefore, in order to achieve a maximum payload of at least 300,000 lb. and be able to carry at least one Wolverine and one Abrams at the design payload weight, the design payload weight was increased from 120,000 lb. to 205,000 lb. This payload weight increase also results in an increased range of the vehicle. This increased range is optimal because it makes nonstop flights from North America to Europe and Europe to the Middle East possible at higher, more useful payload weights. 3.4 Stakeholder Analysis An important aspect of aircraft design considered, was the stakeholder’s that are impacted by the final design. It identifies the important shareholders within the process that will drive the design and usability of the aircraft. Some of the important stakeholders for this project include the pilots, government, manufacturers, suppliers, cargo master and light personnel. Using the stakeholder analysis chart, the entities listed above can be placed on the chart dividing them between four different criteria. These include “keep satisfied”, “manage closely”, “monitor” and “keep informed.” Each of these criteria have varying degrees of power and interest within the project. Based off the interest of each relevant party, their place on the chart was created. Their placement on the chart is based off each other’s relations. Table 3-V and Figure 3-3 below showcase both the interests of each stakeholder and their place on the stakeholder analysis chart.
  • 20. 11 Georgia Institute of Technology Table 3-V: Stakeholder interests. Stakeholder Interest Pilots Aircraft capabilities, flight stability and control, use of advanced technologies, safety features and performance. Government Initial cost of aircrafts, delivery on RFP requirements, safety and performance of aircraft, reduced maintenance cost. Manufacturers/Supplie rs Complexity of parts, use of advanced materials & technologies, complexity of design. Cargo Master Loading capabilities of aircraft, reduced turnover time, aircraft internal configuration. Flight Personnel Use of aircraft technologies, ergonomics of internal cargo space. Figure 3-3: Stakeholder analysis chart. 4 Advanced Technology 4.1 Geared Turbofan For this aircraft, the engine will be augmented with a geared turbofan system. Currently there are a handful of geared turbofans in production. The most well-known is the Pratt & Whitney PW1000G. The
  • 21. 12 Georgia Institute of Technology engine is already in production; its current use is on the A320neo (Pratt and Whiteney). The A320neo is expected to go into service in October 2015. There are multiple versions of the PW1000G for a handful of aircraft. The PW1000G is expected to have a fuel consumption decrease of 15% compared to current engines in the same category. By mid-2020’s, P&W expects to produce engines that offer a 20-30% increase in efficiency compared to current technologies. The performance increase is not only produced by the gear box but by a handful of advancements in engine technologies. The current geared turbofans do not produce enough thrust for comparable aircraft. The PW1428 produces a maximum thrust of 31,000lbf; the C-17 uses four PW F117 turbofans which each produce 40,440 lbf. Our aircraft is to enter service in 2030; by then it is reasonable to assume that geared turbofan engines producing around 94,000 lbf would be possible. The expected fuel consumption decrease would be around 20% compared to current technologies. Currently, the baseline model chosen is the GE90-94B turbofan engine. It was chosen due to the thrust requirement that the constraint sizing process revealed. The baseline engine has a weight of approximately 17,000 lb. Its length is 287 inches and has a diameter of 134 inches. The engine is capable of producing 93,000 lb of thrust at sea level which matches the requirements taken about earlier. With the use of the geared turbofan, the weight can be further reduced and also improve the TSFC of the baseline engine. 4.2 Natural Laminar Flow Airfoil Through the use of composite materials, certain tolerances and levels of surface smoothness can be achieved in order for natural laminar flow airfoils to be used successfully. Laminar flow over the surface of the wing provides large performance improvements that can help the efficiency of the overall aircraft. It can reduce drag produced overall by the wing versus a wing using a regular airfoil. Furthermore, increased laminar flow over the wing also provides greater lift. Laminar flow airfoils are designed to have favorable pressure gradients in order to allow the boundary layer to laminar. The usual definition of a laminar flow airfoil is that the favorable pressure gradient ends somewhere between 30 and 75% of chord.
  • 22. 13 Georgia Institute of Technology The idea of laminar flow airfoils is certainly not new to the aerospace field. The P-51 Mustang was the first aircraft designed to use laminar flow airfoils. It could not benefit from the use of the airfoil due to the surface unevenness of the wing. Currently, Aerion is proposing the use of laminar flow airfoils in supersonic business jets in order to improve performance of its design. 4.3 Composite Materials in Aircraft Design The use of composites in the design of our aircraft will serve three primary purposes. It will allow lighter overall empty weight of the aircraft, it will allow increased strength for specific parts and mechanisms, thereby increasing performance, and it will decrease lifetime costs by decreasing the maintenance and overhaul load. With the Boeing 787 as a base model for composite material design, the degree to which composites can be used is both variable and well established. All secondary structures, unless outweighed by a greater need specific to a military transport, will be made of fiber reinforced polymers. These will primarily consist of carbon fiber epoxy resins for parts with higher specific strength demands and fiberglass resins for other parts. If possible, foam core sandwich structures will be used. Secondary Structures: Fairings Nose Radome Cowlings Flaps Spoilers Landing Gear Doors Fuselage Doors Tail Torque Boxes Primary Structure: Fuselage Wings Tails Elevator Rudder Ailerons Pending further cost and manufacture analysis, the use of composites will potentially cover the primary structure itself. Its use in control surfaces is highly regarded as advantageous, although its use in the wings and fuselage needs further analysis. Boeing’s technique for creating the fuselage in whole sections seems to be a likely candidate for the manufacturing method to be employed for our cylindrical fuselage. Advantages of Composites Disadvantages of Composites
  • 23. 14 Georgia Institute of Technology Tailor capability (directional properties) Lower density (lower weight) High strength and stiffness Fatigue performance Corrosion resistance Wear resistance Low heat transmission Good electrical insulation Low sound transmission Environmental degradation of resin dominated properties Notch sensitivity Impact damage Poor through thickness properties Variability Properties not established until manufactured Limited availability of design data Reinforcement incorrectly located Lack of codes and standards 4.4 Spiroid Winglet Up to 40% of total drag at cruise conditions and 80-90% of total drag in take-off configuration can be attributed to lift-induced drag for the typical transport aircraft (Guerrero, Maestro, & Bottaro, 2012). Since drag is balanced by the thrust of the aircraft engine in cruise conditions, reducing drag leads to fuel savings, lower operating costs, or improved performance or range. Furthermore, the drag, wake, and vortex characteristics for an aircraft during landing and take-off operations affects climb-rates and other landing and take-off performance measures as well air traffic flow management at airports due to vortex turbulence dissipation. Some research has shown that one way of reducing lift-induced drag is by using wingtip devices, such as the blended winglet, wing grid, or spiroid wingtip, which is of particular interest. An extensive wind tunnel study examined the effects of four winglet shapes on the vortex behind the wing, static surface pressure over the wing, and wake of a swept wing at varying angles of attack compared to a configuration without winglets, the bare wing (Nazarinia, Soltani, & Ghorbanian, 2006). This study found that winglets change the flowfield over the wing significantly. The total pressure loss in the wake of the model is significantly less when a winglet is included compared to the bare wing. Two types of spiroid winglets were tested, a forward spiroid winglet and an aft spiroid winglet. It was found that the forward spiroid winglet seems to be more suitable for the cruise flight phase (when angle of attack is low), while the aft spiroid winglet is more suitable for the climb phase, with higher angle of attack. A spiroid wingtip was tested by adapting it to a clean wing, or bare wing, and performance of the wing with the spiroid winglet relative to the clean wing was studied quantitatively and qualitatively. With any
  • 24. 15 Georgia Institute of Technology winglet, there is a trade-off between the benefits realized from the reduction in lift-induced drag and the additional parasitic drag through the increased wetted surface, causing with additional friction and interference drag. The point where the marginal benefits and marginal cost of the winglet balance is called the crossover point. Additionally, the study finds that the spiroid winglet is able to greatly reduce the intensity of wingtip vortices, which dissipate quickly, compared to a clean wing. This can have benefits in terms of air traffic flow management at airports. From the perspective of the aircraft operator, the benefits of the spiroid winglet enumerated could mean increased range, improved take-off performance, increased operating altitudes, improved roll rates, shorter time-to-climb rates, less take-off noise, increased cruise speeds, reduced engine emissions, and improved safety during take-off and landing due to vortex turbulence reduction. 4.5 Weight Sizing Technology Factors The implementation of the technologies takes several forms in the weight sizing process. There is a reduction to the empty weight of the aircraft in the form of a technology factor, η. This is calculated to be 0.851. The engine efficiency improvement translated into a reduction in the TSFC of the aircraft for each mission segment, a result of increased rotational efficiency. A reduction in the skin friction coefficient is realized with the inclusion of a natural laminar flow airfoil in the wing. This is a result of decreased turbulent flow over the wing. The use of spiroid winglets decreases wingtip vortices, resulting in an Oswald’s efficiency increase. The complete quantitative set of improvements made to the aircraft from technology implementation can be seen in Table 4-I. A waterfall chart showing the takeoff weight decrease of the aircraft after each technology implementation is shown in Figure 4-1. Table 4-I. Technology impact table. Technology Description TRL Improvement Factor Composites Advanced lighter materials 9 20% weight reduction Geared Turbofan Optimizes rotational efficiency 8 15% weight reduction, 12% TSFC reduction Natural Laminar Flow Airfoil Decreases turbulent flow over wing 6 7% skin friction coefficient reduction Spiroid Winglets Decreases wingtip 8 6% Oswald’s efficiency
  • 25. 16 Georgia Institute of Technology vortices increase Figure 4-1. Waterfall chart showcasing reductions in takeoff weight with the additions of technology. 5 Weight Sizing 5.1 Weight Regression The first step in the weight sizing process is to calculate an empty weight for the vehicle based on a linear regression formed from weight data of similar vehicles. The vehicles used for this regression were composed of other military transport aircraft as well as large passenger jet aircraft. The chosen vehicles for this regression are shown below in Table 5-I. Table 5-I. Weight regression aircraft. Vehicle Vehicle 1 Boeing YC-14 9 Boeing 777-F 2 Boeing KC-135A 10 Xian Y-20 3 McDD C-17 11 Antonov An-124 4 McDD KC-10A 12 Ilyushin Il-76 5 Lockheed C-141B 13 Boeing 747-100B 6 Lockheed C-5A 14 Airbus 300B4 7 Tupolev Tu-16 15 Boeing 787 8 BAE Nimrod Mk2 For each of these vehicles, the empty weight of the vehicle is graphed against the take-off weight on a logarithmic scale. The resulting linear regression creates a linear relationship between the empty and
  • 26. 17 Georgia Institute of Technology takeoff weight. This relationship is used with a guessed takeoff weight to generate one estimate of the empty weight of the vehicle. The linear regression is shown below in Table 5-I. Figure 5-1. Weight regression plot. 5.2 Takeoff Weight Convergence In addition to the historical weight regression, another method is used to produce an estimate for the empty weight of the vehicle. This method uses a Microsoft Excel spreadsheet to compute mission fuel fragments for each segment of the flight. The purpose of creating these mission fuel fragments is to determine an overall fuel weight needed for the mission. This fuel weight can then be subtracted from the takeoff weight along with the chosen payload weight, and the assumed crew weight to determine an empty weight for the vehicle. This is shown in Equation 2. (2) The primary basis for calculating the fuel fraction for each mission segment is the Breguet range equation. This relationship is shown below in Equation 3. (3)
  • 27. 18 Georgia Institute of Technology In this equation, the range for the mission segment is chosen, the speed is known based on the chosen altitude and Mach number, the thrust specific fuel consumption is calculated using an engine deck for a chosen baseline model, and the lift to drag ratio is calculated based on a drag polar convergence which is described in the next section. 5.3 Drag Polar Convergence One input to the Breguet range equation is the lift to drag ratio at the chosen segment of flight. To compute this value, a drag polar analysis is necessary. Initially, a lift to drag ratio is assumed in order to perform the weight sizing calculations. However, to achieve a finalized takeoff and empty weight value, the lift to drag ratio must be converged using the drag polar analysis. To calculate this lift to drag ratio, the coefficient of lift and the coefficient of drag at each segment of flight are calculated. The coefficient of lift is calculated according to Equation 4. (4) The weight of the vehicle is taken from the weight sizing analysis at the appropriate segment of flight, the density of the air is known from the chosen altitude, the airspeed is known from the chosen altitude and Mach number, and the wing area is calculated from the guessed takeoff weight and the assumed wing loading of the vehicle. The coefficient of drag is calculated according to Equation 5. (5) The aspect ratio and baseline Oswald’s efficiency factor of the vehicle are chosen based on similar aircraft and the zero lift drag is calculated based on an assumed skin friction coefficient, the wing area, and the wetted area as described in Roskam’s design books. 5.4 Sensitivity Studies To determine the optimal parameters at each segment of the mission, sensitivity studies were performed for each important performance characteristic. For each sensitivity study, the chosen parameter is varied and the specific range of the vehicle over the mission segment is calculated. The optimal value
  • 28. 19 Georgia Institute of Technology for each parameter is the one which maximizes the specific range over that segment. For example, to determine the optimal climb rate for each portion of the initial climb, the climb rate for the first climb segment is varied and the specific range is calculated. The resulting graph is shown below in Figure 5-2. Figure 5-2. Climb 1 rate of climb sensitivity study. In this particular example, the thrust to weight ratio is shown on the secondary vertical axis. This is shown to demonstrate the strong effect that the climb rate has on the resulting thrust to weight ratio of the aircraft. The calculation of this ratio is done in the constraint sizing process. For this example, the increase in specific range was negligible for the various rates of climb so the initial climb segment rate of climb was chosen to be 2,250 feet per minute to minimize the thrust to weight ratio. This process is repeated for all other climb and descent segments. Because the cruise was broken into three separate step cruise segments, the altitude of these step cruises is of great importance. To determine the optimal altitude for each step cruise segment, the specific range is graphed against the altitude. For the second step cruise segment, the resulting plot is shown below in Figure 5-3. 0.24 0.245 0.25 0.255 0.26 0.265 0.27 0.275 0.28 0.285 0.027885 0.02789 0.027895 0.0279 0.027905 0.02791 0.027915 0.02792 0.027925 0.02793 0.027935 0.02794 750 1250 1750 2250 2750 ThursttoWeightRatio SpecificRange(nm/lb) Climb 1 Rate (ft/min) Specific Range T/W
  • 29. 20 Georgia Institute of Technology Figure 5-3. Cruise 2 altitude sensitivity study. For this cruise segment, the optimal specific range is obtained at an altitude of 39,000 feet. Therefore, that altitude is chosen for this cruise segment. This process is repeated for all other mission flight segments. The final major parameter that is important to all segments of flight is the Mach number at that segment. This Mach number is optimized at every segment of flight in order to produce the most efficient vehicle possible. Similarly to the altitude sensitivity study, the specific range for each Mach number studied is plotted against the corresponding Mach number. An example of this for the second step cruise segment is shown below in Figure 5-4. 0.039 0.0392 0.0394 0.0396 0.0398 0.04 0.0402 32000 34000 36000 38000 40000 42000 44000 46000 SpecificRange(nm/lb) Cruise 2 Altitude (ft)
  • 30. 21 Georgia Institute of Technology Figure 5-4. Cruise 2 Mach number sensitivity study. The optimal specific range for the second step cruise segment occurs at a cruise Mach number of 0.7. Therefore, this Mach number is used for all calculations at this segment of flight. This process is repeated for every segment of flight to determine optimal Mach numbers across the entire mission profile. 6 Constraint Sizing 6.1 Constraint Sizing The final step in the preliminary sizing of the vehicle is the constraint sizing analysis. The purpose of this analysis is to determine the sea level thrust to weight ratio required to fly each mission segment based on a designated wing loading at takeoff. The basis for this analysis is the energy-based constraint equation. This relationship is shown below in Equation 6. [ ( ) ( ) ( )] (6) 0.0375 0.038 0.0385 0.039 0.0395 0.04 0.55 0.6 0.65 0.7 0.75 0.8 0.85 SpecificRange(nm/lb) Cruise 2 Mach Number
  • 31. 22 Georgia Institute of Technology This equation can be simplified for each segment of flight based on various assumptions such as constant speed climb and constant altitude cruise. For each segment of the mission, this constraint equation was applied to determine the necessary sea level thrust to weight ratio at takeoff to perform the mission segment. The plot of all of the various mission segments is shown in Figure 6-1. Figure 6-1. Constraint sizing plot. The design point for this aircraft was chosen to be the point which met all of the thrust to weight requirements while maximizing wing loading and minimizing the sea level thrust to weight ratio. For this aircraft, that initial design point was placed at a thrust to weight ratio of 0.23 and a wing loading of 172 lb/ft2 . 6.2 Additional Constraints While the initially chosen design point is sufficient to perform all normal mission segments for this aircraft, it is not sufficient to perform the additional takeoff, climb, and landing requirements at +30°C above ISA as well as +10°C above ISA at 10,000 feet above MSL. Therefore, an additional constraint
  • 32. 23 Georgia Institute of Technology analysis is performed at these conditions to determine a new, finalized design point. The result of this additional analysis is shown below in Figure 6-2. Figure 6-2. Additional constraint sizing. For this aircraft, the finalized design point is placed at a sea level takeoff thrust to weight ratio of 0.25 and a wing loading at takeoff of 122 lb/ft2 . This design point minimizes the trust to weight at sea level takeoff and maximizes the wing loading at takeoff while meeting all mission segment requirements for both normal and hot days. 6.3 Preliminary Sizing Results Using the initial design point wing loading produced by the constraint sizing analysis, the weight sizing and constraint sizing processes are then iterated to produce a finalized maximum takeoff weight, empty weight, wing area, and sea level takeoff thrust required for the aircraft. These are the most important results of the preliminary sizing process and will be used to drive the detailed design and 0.1 0.15 0.2 0.25 0.3 0.35 0.4 50 70 90 110 130 150 170 190 ThrusttoWeightatSeaLevelTakeoff(~) Wing Loading at Takeoff (lb/ft2) Climb 2d Landing Takeoff + 30 °C Climb 1 + 30 °C Climb 2a + 30 °C Climb 2b + 30 °C Climb 2c + 30 °C Climb 2d + 30 °C Landing + 30 °C Takeoff + 10 °C at 10000 ft Landing + 10 °C at 10000 ft Previous Design Point New Design Point
  • 33. 24 Georgia Institute of Technology specific component design. For this aircraft design, the results of the weight and constraint sizing analyses are shown below in Table 6-I. Table 6-I. Preliminary sizing results. Parameter Variable Units Value Empty Weight WE lb 262,408 Fuel Weight WFuel lb 214,535 Payload Weight WPayload lb 205,000 Crew Weight WCrew lb 1,400 Maximum Takeoff Weight WTO lb 683,343 Wing Loading at Takeoff (W/S)TO lb/ft2 122 Wing Area Swing ft2 5,601 Thrust to Weight at Sea Level Takeoff (T/W)SL ~ 0.25 Thrust Required Trequired lbf 170,836 7 Performance 7.1 Takeoff A takeoff analysis was performed by calculating the balanced field length (BFL) at two engine conditions. Since our aircraft only has two engines, these conditions are “all engines operative” or “one engine inoperative.” The BFL was calculated by Equation 7 (Roskam & Lan, Airplane Aerodynamics and Performance, 2003), where Δγ2 or change in climb gradient is calculated by Equation 8, WTO/S is 122 psf from constraint sizing, ρ is the density at takeoff, g is gravitational acceleration, CL,2 is the lift coefficient at V2 (or CL,2 ≈ 0.694CL,max,TO), hscreen is 35 ft as specified by the FAR 25 rules, T/WTO is the thrust loading at takeoff, μ’ is defined as Equation 9, ΔSTO is the takeoff distance increment equal to 655 ft, and ζ is the density ratio of the atmosphere. CL,max,TO is chosen as 2.37 from high-lift device sizing, γ2,min is 2.4% for a two-engine aircraft, and γ2 values are listed in the climb analysis. ( ) ( ⁄ ) ( ̅⁄ ) √ (7) (8) (9)
  • 34. 25 Georgia Institute of Technology The resulting BFL and the intermediate values are shown in Table 7-I. It can be seen that the takeoff can be performed in all listed conditions since their BFL is below the maximum takeoff length of 9,000 ft. The maximum temperature offset in which the aircraft can takeoff with only one engine is 73°C while the maximum altitude is 10,050 ft. Table 7-I. Balanced field length and intermediate values for varying engine and takeoff conditions. Δγ2 (%) T/WTO ρ (slugs/ft3 ) σ Engine condition Temperature offset (°C) Altitude (ft) BFL (ft) 0.0966 0.238 0.00205 0.8617 all op 0 SL 7,130 0.0809 0.250 0.00169 0.7119 all op 10 10,000 8,443 0.0890 0.238 0.00185 0.7778 all op 30 SL 7,943 0.0145 0.238 0.00205 0.8617 1 inop 0 SL 8,304 0.0067 0.250 0.00169 0.7119 1 inop 10 10,000 8,985 0.0107 0.238 0.00215 0.9070 1 inop 30 SL 7,990 0.0107 0.238 0.00190 0.7990 1 inop 73 SL 8,990 0.0067 0.250 0.00169 0.7119 1 inop 10 10,050 8,999 7.2 Climb A climb analysis was performed by calculating the climb gradient, γ2 at the aforementioned engine and takeoff conditions by using Equation 10, where T or thrust varies for each engine/takeoff condition, WTO is 669,676 lb from weight sizing, and L/D is 22.98 from drag polar calculations. The resulting climb gradient, rate of climb, and some intermediate values are listed in Table 7-II. All calculated climb gradients are greater than the minimum required climb gradient of 2.4%. It should be noted that the rate of climb listed in the below table is the maximum capability only from the engines and therefore, these values were not necessarily selected for our design mission. (10) Table 7-II. Climb gradient, rate of climb, and intermediate values for varying engine and takeoff conditions. Thrust (lbf) γ2 (%) Rate of climb (fpm) Engine condition Temperature offset (°C) Altitude (ft) 109,922 12.06 3,015 all op 0 SL 99,393 10.49 2,622 all op 10 10,000 104,812 11.30 2,825 all op 30 SL 54,961 3.85 964 1 inop 0 SL 49,696 3.07 767 1 inop 10 10,000 52,406 3.47 868 1 inop 30 SL
  • 35. 26 Georgia Institute of Technology 7.3 V-n Diagram The V-n diagram was created for the proposed aircraft in order to ensure that the mission does not exceed the flight envelope of the design. The V-n diagram for this aircraft was created using the standard techniques and processes. The maximum load factor was assumed to be 2.5 and the minimum was assumed to be -1.5 based on flight expectations and load factors in similar, previously existing aircraft. The design dive speed was set to 1.2 times the cruise speed. The maximum load factor, nmax , was found using Equation 11 below. (11) The load factor was solved for repeatedly as the Ve was increased from zero to the design dive speed. This linear relationship was then cutoff as it reached the maximum design load. The line was also truncated to only have load factors with magnitudes above one. The same equation and method was used to find the load factor that decreased until it reached the minimum load. To produce these results, the CL,max of the wing was substituted with the CL,min. Lastly, gust lines were created to represent both the maximum positive and negative gust up during both the cruise and dive segments of flight. These gust lines were created using the Equation 12 shown below. (12) The gust speed, U, was taken from the FAA requirements for large aircraft. The finalized V-n diagram is plotted on Figure 7-1 below.
  • 36. 27 Georgia Institute of Technology Figure 7-1: V-n Diagram 8 Fuselage Sizing 8.1 Payload Considerations Based on the RFP, it is required to carry at least one Wolverine Assault Bridge System and 44 463L Master Pallets or optimal arrangements for other payloads. The 463L Master Pallets have no definite height since it is a specific plate that is designed for holding cargos, and the height depends on the weight of cargo on each plate. The pallet has a height of 0.1875 ft and a tare weight of 290 lb with maximum capacity of 10,000 lb (Globid Inc., 2014). In the mission specification, the payload weight of each 463L Master Pallet is chosen to be 6,000 lb and the corresponding volume of 6000 lb weight is estimated to be 6 ft. The following Table 8-I presents the maximum dimensions, weight and volume of each cargo component (Kable, 2010) (Military Analysis Network, 2000) (Prado, 2008) (Bradley M2A3 AIFV, 2015).
  • 37. 28 Georgia Institute of Technology Table 8-I. Payload characteristics. Payload Dimension (ft) Weight (lb) Volume (ft3 ) Length Width Height 463 L Master Pallets 7.30 9.00 6.00 6000.00 394.20 Wolverine Bridge 43.96 13.12 15.00 153882.66 8651.33 AH-64 Apaches 49.08 17.17 15.25 23000.00 12851.23 M1A1 Abrams 32.25 12.00 9.47 126000.00 3664.89 M2A3 Bradley 21.50 10.76 11.09 72000.77 2565.56 8.2 Internal Cargo Fitting Based on cargo arrangements of master pallets on previous transport aircrafts, the pallets are designed with two master pallets in a row generally. The same arrangement of the master pallets is applied in the process of determining the dimensions of the internal cargo space. Based on Figure 3.37 and 3.38 of Roskam Airplane Design Part III, the spacing between the side of pallets and the internal frame of the aircraft were 2 to 5 inches, and the spacing between pallets were not specified (Roskam J. , Airplane Design Part III: Layout Desig of Cockpit, Fuselage, Wing and Empennage: Cutaways and Inboard Profiles, 2002). As far as the loading operation on this aircraft is concerned, extra spacing on the sides and between pallets are intentionally designed for loading personnel to pass through and check the loading process and ensure the cargo are loaded and fixed correctly. The cargo space is designed to carry one Wolverine assault bridge system due to the weight of one Wolverine is greater than half of the maximum payload requirement. Besides the Wolverine bridge system, other cargo payloads are designed to be arranged in a row in longitudinal direction. The following Table 8-II summarizes the minimum cargo space dimensions with required payloads while the total payload weight does not exceeding the maximum payload weight of 300,000 lb. Table 8-II. Minimum cargo space dimension calculation. Payload Quantity Minimum Cargo Space Dimension (ft) Total Payload Weight (ft) Length (Longitudinal) Width (Lateral) Height (Vertical) 463 L Master Pallets 44 160.60 18.00 6.00 264,000 Wolverine Bridge 1 43.96 13.12 15.00 153,883 AH-64 Apaches 3 147.24 17.17 15.25 69,000 M1A1 Abrams 2 64.50 12.00 9.47 252,000 M2A3 Bradley 4 86.00 10.76 11.09 288,003
  • 38. 29 Georgia Institute of Technology As Table 8-II above shows, the length and width are determined by 44 master pallets such that the length and width has to be at least 160.60 ft and 18.00 ft; and the height is determined by the Apache which is at least 15.25 ft. With extra spacing of 1 ft on the sides of master pallets that allow personnel to pass through, and some extra space are designed on purpose in order to handling some unexpected situations and provides better spacing clearance and working space for all cargo payloads. The following Table 8-III presents the decided minimum dimensions of cargo space. Table 8-III. Dimension of cargo space. Parameter Units Minimum Required Value Designed Value Floor Length (ft) 160.60 172.00 Floor Width (ft) 18.00 20.00 Height (ft) 15.25 18.00 Volume (ft3 ) 44084.70 61920.00 In order to minimize the loading and unloading operation time, the omni-directional rollers will be used on the floor of the cargo space and the bottom fuselage is intentionally to be designed as close to the ground as possible. The following Figure 8-1 shows the omni-directional rollers that will be applied on the aircraft (Division, 2015). Figure 8-1. Omni-directional rollers. Based on the recommendations of cross-section design in Roskam Part III, the following Figure 8-2 presents the actual cross-section design of the cargo space, which meets the minimum cargo space dimension requirements and creates enough volume for all cargo payload arrangements (Roskam J. ,
  • 39. 30 Georgia Institute of Technology Airplane Design Part III: Layout Desig of Cockpit, Fuselage, Wing and Empennage: Cutaways and Inboard Profiles, 2002, pp. 423-426). Figure 8-2. Cross-section design of fuselage cargo space. 8.3 Final Fuselage Layout According to the weight and sizing results, the empty weight of the aircraft is 262,408 lb. The ratio of avionics weight to empty weight is estimated to be 0.06, and all the weight of radar and electronic devices are included as Wavionics (Weston, 2014). Seven crew members were designed to operate the aircraft, including the pilot, co-pilot, navigator, flight engineers and cargo loading masters. There will be no passengers on this plane except the crew members. Dimensions of different mission requirements and corresponding cargo arrangements are listed below in the Table 8-IV.
  • 40. 31 Georgia Institute of Technology Table 8-IV. Components in the fuselage. Component Number Weight (lb) Volume (ft3 ) Cockpit Crew 7 1,400 N/A Avionics N/A 15,744 N/A Cargo Arrangement 463 L Master Pallets 44 264,000 17345 Wolverine Bridge 1 153,883 8,651 AH-64 Apaches 3 69,000 38,554 M1A1 Abrams 2 252,000 7,330 M2A3 Bradley 4 288,003 10,262 The critical geometric values are chosen for this aircraft based on Military Transports, Bombers and Patrol Airplanes of Figure 4.1 and Table 4.1 in Roskam Part II (Roskam J. , Airplane Design Part II: Preliminary Configuration Design and Integration of the Propulsion System, 2004, p. 110). The following Table 8-V presents design values of key geometric parameters and Figure 8-3 presents the side view and critical dimensions of geometric parameters of the fuselage. Table 8-V. Geometric parameters of fuselage. Geometric Parameter Units Value lf/df ~ 11.34 lfc/df ~ 2.50 θfc (deg) 23.00 df (ft) 21.38 lf (ft) 242.41 lfc (ft) 47.09 Structure Depth (ft) 0.50 Figure 8-3. Geometric parameters of fuselage.
  • 41. 32 Georgia Institute of Technology 9 Cockpit Layout The cockpit is designed to carry seven crew members on board, including the pilot, co-pilot, navigator, flight engineers and cargo loading masters. According to the Recommended Seat Arrangement for Military Wheel Controlled Airplanes from Roskam Part III, the seating arrangements for all crew members is shown in the following Figure 9-1. (Roskam J. , 2002, p. 19) Figure 9-1. ISO view of cockpit. The following three views in Figure 9-2 presents detailed dimensions of the seating arrangement in the cockpit based on Figure 2.11 of Roskam Part III (Roskam J. , 2002, p. 19).
  • 42. 33 Georgia Institute of Technology Figure 9-2. Dimensioned three-view of seating arrangements in the cockpit. Based on the door and exit requirements for military airplanes and Table 3.4 Required Number of Exits per FAR 25 in Roskam Part III, the crew number of seven determines that the aircraft should have one exit on each side of the fuselage; and the exit door is designed according to the minimum dimensions for exits from Table 3.5 Minimum Dimensions for Exits in Roskam Part II (Roskam J. , 2002, pp. 70-71). The following Figure 9-3 of the side view of the nose part of the fuselage presents the dimensioned exits and visibility clearance, which meets the visibility requirement from Figure 2.16 in Roskam Part II (Roskam J. , 2002, p. 26).
  • 43. 34 Georgia Institute of Technology Figure 9-3. Side-view of nose part of fuselage. 10 Wing Sizing This section describes the procedures that were taken in order to size the wing and also the high-lift devices, such as flaps, ailerons, and spoilers for the military transport. Past aircraft information were considered to make reasonable guesses for other non-predefined values. The overall dimensions of the wing were first obtained, and then the dimensions and locations for the high-lift devices were obtained afterwards. The airfoil to be briefly analyzed in the first part of this section is the HSNLF213. The following planform design characteristics were defined: wing area, aspect ratio, sweep angle, thickness to chord ratio, airfoil type, taper ratio, incidence, twist, and dihedral angles, and lateral control surface size and layout.
  • 44. 35 Georgia Institute of Technology 10.1 Airfoil Selection and Analysis The HSNLF213 airfoil was selected among other NLF airfoils for its high critical Mach number, Mcr. In order to calculate Mcr, the minimum pressure coefficient was first calculated from Equation 13. The minimum pressure coefficient at an angle of attack of zero was obtained by XFOIL for each airfoil. The Mcr was solved for from Equation 14 by setting M = 1 and γ = 1.4. The resulting number listed in Mcr’ is the final critical Mach number value with the sweep angle of 28° taken into account. Table 10-I shows the final critical Mach number for each airfoil and their intermediate values. √ (13) [ ( ) ] (14) Table 10-I. Critical Mach number values for each airfoil and intermediate values. Airfoil cp,0,min Mcr Mcr’ hsnlf213 -0.6 0.6708 0.7597 nlf0115 -0.8 0.6137 0.6951 nlf215f -1.4 0.5015 0.5680 nlf414f -0.9 0.5899 0.6681 nlf416 -1.3 0.5161 0.5845 nlf1015 -1.3 0.5161 0.5845 The airfoil coordinates were acquired from the UIUC airfoil database. The airfoil geometry is shown in Figure 10-1. Figure 10-2 shows the lift curve slope for this airfoil. It can be seen that the operational angles of attack range approximately from -6° to about 8°. Since the airfoil is asymmetric and cambered, there is some lift generated at an angle of attack of zero. Figure 10-3 shows the drag coefficient plotted against the lift coefficient. It can be seen that there is a slight “drag bucket” around a lift coefficient value of 0.3, meaning that the drag coefficient is minimum for a range of lift coefficients around 0.3.
  • 45. 36 Georgia Institute of Technology Figure 10-1. Geometry of HSNLF213 airfoil. Figure 10-2. Lift curve slope of HSNLF213 Figure 10-3. Lift coefficient plotted against drag coefficient for HSNLF213.
  • 46. 37 Georgia Institute of Technology 10.2 General Wing Planform Sizing According to Roskam, the sweep angle and the thickness ratio are both critical parameters that have an influence on the drag rise of the aircraft. Especially for supersonic aircrafts, the tradeoff between sweep angle and thickness ratio is the deciding factor in the wing design. Moreover, these parameters have an effect on the cruise CLcr. Using the weight sizing data and Equation 15 taken from Roskam Part II, this value is calculated below. Total takeoff weight, WTO = 683,340 lb Fuel weight, WF = 214,450 lb Dynamic Pressure, q = 221 psf Wing area, S = 5,601 ft2 (15) The sweep angle must be selected on the basis of a critical Mach number. It was initially assumed during the weight sizing process, the thickness ratio is 0.13 and the chosen airfoil matches this assumption. As such, these two values were used to find the sweep angle by examining similar aircrafts within the military transport class of vehicles. It was decided that the sweep angle will be 28° which is similar to other military transport. The taper ratio is an important factor of wing design that directly influences many aerodynamic properties. Roskam explains that it has important consequences to wing stall behavior and to wing weight. As such, Table 6.9 in Roskam was used to find similar aircrafts to the proposed design to obtain a taper ratio. It was decided that the taper ratio be 0.3142 for the proposed aircraft. This value was chosen as it is similar to the taper ratio of similar transport aircrafts like the C-5. From the taper ratio, the tip chord can be found by assuming a certain root chord. The tip and root chords are used to calculate the area of the wing; the area of a trapezoid was assumed. The real root chord can be found by converging the calculated area to the wing area used in the weight sizing process using
  • 47. 38 Georgia Institute of Technology excel. From this analysis, the root chord was found to be 36.02 ft and the tip chord was found to be 11.32 ft. The choice of deciding the dihedral angle involves a tradeoff between the lateral stability and the Dutch roll stability. From examining Table 6.9 from Roskam Part II, a dihedral angle of -4° was chosen. Since the aircraft is meant to be a high wing design, the dihedral angle was chosen to be negative to reduce the overall stability of the aircraft. Although the engines are mounted under the wing, there is no factor contributing to dihedral angle from the geometric ground clearance limitations due to being a high wing design. The choice of wing incidence angle has important consequences on the cruise drag and the take-off distance. For this aircraft, the attitude of the fuselage is not relevant as it is a military transport aircraft. The historical data provided in Table 6.9 was used once again to find both the wing incidence and the twist angle. For the incidence angle, it was chosen to be 0°. Additionally, the twist angle was chosen to be 0° based on historical data. Table 10-II shows the summary of wing parameters. Table 10-II. Summary of wing parameters. Parameter Variable Name Units Value Wing area S ft2 5,601 Aspect ratio AR ~ 10 Sweep angle Λc/4 degrees 28 Thickness to chord ratio t/c ~ 0.13 Taper ratio λ ~ 0.3142 Incidence angle iw degrees 0 Twist angle εt degrees 0 Dihedral angle Γw degrees -4 10.3 High-Lift Device Sizing This portion of the report deals with the step by step method provided in Roskam to determine whether the wing geometry selected can achieve the required clean CLmax used in the previous weight sizing process. Additionally, the type and size of the high lift devices needed to achieve CLmax,TO and CLmax,L are determined.
  • 48. 39 Georgia Institute of Technology The values listed below were used during the weight sizing process for the three parameters. As stated previously, these values were based off assumptions made from existing aircrafts within the transport class and Roskam. CLmax – 1.8 CLmax,TO – 2.37 CLmax,L – 2.85 Using Equations 16 and 17 obtained from Roskam, the incremental values of lift required for both takeoff and landing. It can be seen from the calculations above that the incremental lift coefficient values are low enough that a fowler flap can be used to meet the required lift increments. ( ) (16) ( ) (17) For this step, Equations 18 and 19 were used to find the required value. The equations are shown below. ( ) (18) ( ( ( ))) ( ) (19) Swf is the flap wing area. The value for wing area, S is 5,604 ft2 . Arbitrary values for the ratio were chosen in order to find the incremental lift coefficient for both the takeoff and landing portions. The sweep correction factor found using equation 34 used the sweep angle of 28° previously determined. Table 10-III below showcases the calculated incremental lift coefficient for various flap ratios. Table 10-III: Takeoff and Landing Flap down Required Incremental Lift Coefficient Swf/S 0.1 0.2 0.3 0.4 ΔCl,max,TO 5.42 2.71 1.81 1.35 ΔCl,max,L 9.98 4.99 3.33 2.49
  • 49. 40 Georgia Institute of Technology Using Equation 20 obtained from Roskam Part II, the incremental lift coefficient required due to flaps can be calculated. ( ) (20) Using the figures in Roskam, the K values were chosen from the graph, which corresponds to a flap chord ratio of 0.4 which was chosen after the iteration process explained below. Using this values and the equation above, the incremental lift coefficient was found for the various cases from table 5. Table 10-IV: Incremental Lift Coefficient Values Swf/S 0.1 0.2 0.3 0.4 ΔCl,req (takeoff) 5.83 2.91 1.94 1.46 ΔCl,req (landing) 10.73 5.37 3.58 2.68 Next, the flap deflection was chosen based on if it could produce the required incremental sectional lift coefficient. As stated in Roskam, the magnitude of depends on the flap chord ratio, type of flaps used and the flap deflection angle. Initially, the assumption was made to used fowler flaps and calculate the produced as both the flap deflection and the flap chord ratio varied. Equation 7.12 and figures 7.4 and 7.5 from Roskam were used in conjunction in order to find the various combinations of flap deflection and flap chord ratio. Table 10-V below showcases the final results of the convergence between the incremental sectional lift coefficients required versus calculated. Table 10-V: Convergence Results for Degree Deflection Angle of deflection 10 15 20 25 30 35 ΔCl,calculated (takeoff) 0.80 1.17 1.53 1.85 2.17 2.44 ΔCl,calculated (landing) 0.80 1.19 1.59 2.00 2.39 2.78 As can be seen, the best correlation between the required and calculated incremental lift coefficient accords where cf/c = 0.3 and Swf/S = 0.4. There values correspond to a flap deflection of 20° for the takeoff and 35° for the landing. Finally, the flap length can be calculated using the values found above. A convergence method was employed using the Swf/S ratio and the known wing area. The length of the flap was assumed to be the
  • 50. 41 Georgia Institute of Technology height of a trapezoid with the bases calculated using the flap chord ratio. Using this method, the flap length was calculated. Table 10-VI tabulates all the results that have been calculated. Table 10-VI: Summary of Flap Sizing Results Parameter Variable Name Units Value Flap length ~ ft 40 Flap type ~ ~ Fowler Takeoff deflection δf,TO degrees 20 Landing deflection δf,L degrees 35 Flap to wing area ratio Swf/S ~ 0.4 Flap chord to wing chord ratio cf/c ~ 0.3 The location of the lateral control surface design is based purely on the compatibility with the high lift devices. Since there is not an exact process for sizing the lateral control surface, Tables 8.12b in Roskam Part II was used as a guide to size the aileron and outboard spoiler. Hence based on the compatibility with the flap and also looking at the historical data of similar aircrafts, the aileron length was chosen to be 30 feet. Spars support the loads experienced by the wing. As such, their placement plays an important role in the sizing of the wing. As stated in Roskam, a clearance of 0.005c is required between the spar lines and the outlines of the high lift devices and the aileron and spoiler. With the help of Roskam, the front spar was placed at 0.25c and the rear chord was placed at 0.695c. The rear spar mainly helps in attaching the high lifting and lateral stability devices. The remaining length, 0.3c is covered by the flaps, ailerons, and spoilers. Table 10-VII below documents the spar locations. Table 10-VII: Front and rear spar location Parameter Variable Name Units Value Front Spar F.S. ft 5.91 Rear Spar R.S. ft 16.56 It is assumed that the wing fuel is carried in the “wet wing” and that there is no additional fuel tanks within the fuselage of the aircraft. As stated previously, the fuel is assumed to be stored in the wing torque box and within 85% span as discussed in Roskam Part II. Due to the high vulnerability of the aircraft structures, the fuel is not stored in the wingtips. Furthermore, no fuel is carried beyond the 85%
  • 51. 42 Georgia Institute of Technology span point in order to prevent lightning strikes from starting in-flight fires. Total wing fuel volume is calculated and compared with the total fuel requirement for the mission. The wing fuel volume is calculated using Equation 21 from Roskam. ( )( ) { ( ) } ( ) (21) Given the value of t/c, cr and ct, an estimate of (t/c)r = 0.13 and the (t/c)t = 0.13. ( ) ( ) (22) The fuel volume was calculated to be 7,619 ft3 . From the weight sizing process, the fuel weight required was calculated to be 183,600 lb. The fuel density was assumed to be 49 lb/ft3 , which was taken from Roskam Part II. Using this density and the fuel weight, the fuel volume required was calculated to be 4,378 ft3 . As can be seen, the wing provides enough fuel volume to store the required fuel. Table 10-VIII documents the results found. Table 10-VIII. Fuel Weight and Volume Parameters Parameter Variable Name Units Value Comments Wing Fuel Volume VWF ft3 7,619 Calculated Total fuel weight WFuel lb 214,540 Calculated from Weight Sizing Total fuel volume required VFuelRequired ft3 4,378 Calculated using density as 49 lb/ft3 10.4 Final Wing, Flap, and Lateral Control Layout Figure 10-4 is a dimensioned drawing of the wing planform. All dimensions are in feet and a line is drawn at the quarter chord point, where the sweep angle is measured.
  • 52. 43 Georgia Institute of Technology Figure 10-4: Dimensioned Drawing of Wing Planform Figure 10-5 shows the wing planform with the high-lift devices, such as flap, aileron, and spoiler. All of these control devices are hinged at approximately 70% of the total chord. The location and size of the spoiler was obtained by determining the average of historical spoiler data from the same tables. Figure 10-5: Flap and Lateral Control Layout
  • 53. 44 Georgia Institute of Technology 10.5 Wing Design Optimization In order to study potential increases in fuel efficiency a preliminary optimization on the wing planform was conducted. A model for transonic flow developed in (Sankar, 1987) was incorporated into an automated optimization process. The transonic flow model was used to provide values of CL and CD for randomly generated planforms. The generated planforms had the same leading edge, wing area, span, taper ratio, and root chord. The difference between them was the distribution of the chords along the span. 1,000 randomly generated wing planforms were ran through the transonic flow simulation. Of those 1,000, 234 planforms were able to meet the required CL cruise from the weight sizing process. On Figure 10-6 the 234 wings were sorted by lift to drag ratio. For comparison, the conventionally designed wing was also plotted. The optimized wing planform resulted in a 40% increase in lift to drag and 9% decrease in drag at cruise conditions. The planform not only met the required CL but exceeded it by over 20%. This indicates that a lower angle of attack could be used at cruise, resulting in even lower cruise drag compared to the conventional wing.
  • 54. 45 Georgia Institute of Technology Figure 10-6. Lift to drag of wings that met the CL required. On Figure 10-7, the red line indicates the trailing edge of the optimized planform, the yellow dashed line the conventional and the blue line the leading edge. The optimized planform has an increased chord near the root and decreased near the tip. This was a common trend with all of the planforms with increased lift to drag ratios. The same trend can be seen in the Boeing 787, the wing is thicker at the chord and tapers off faster than conventional wings.
  • 55. 46 Georgia Institute of Technology Figure 10-7. Wing planform comparison. Even with the improvements in lift to drag and cruise drag the optimized planform was not incorporated into our design. The major reasons for this were an increase in structural complexity, and placement of control surfaces. Due to the sudden decrease in chord near the tip, the structure of the wing would have to be reinforced when compared to a conventional design. This would likely lead to an increase in the weight of the wing. The best placement of ailerons is near the wing tips in order to increase the moment arm. The decreased chord would make the aileron placement near the wing tips more difficult. In more advanced stages of design, it might be possible to incorporate this type of analysis in order to create a more efficient wing.
  • 56. 47 Georgia Institute of Technology 11 Tail Sizing 11.1 Horizontal and Vertical Stabilizer Sizing This aircraft is designed with a T-tail instead of a conventional tail to improve performance and handling qualities. During the configuration selection process, a conventional tail design was ruled out for several reasons. The primary reason is to keep the horizontal tail out of the wake of the wings and fuselage. This allows for a greater dynamic pressure on the horizontal tail and elevators so that a smaller surface is needed. The vertical tail also sees a benefit in the form of reduced 3D effects. The horizontal tail functions as an endplate which improves the aerodynamic efficient of the tail, allowing a smaller size with more effective handling qualities. The sizing process for both the horizontal and vertical tails was followed according to the process described in Reference (Roskam J. , Airplane Design Part II: Preliminary Configuration Design and Integration of the Propulsion System, 2004). The tail volume, a sizing parameter which reflects an aircraft’s ability to provide stability, was determined using historical values commensurate with the aircraft size and performance for both the horizontal and vertical tails. The horizontal tail volume is 0.65, while the vertical tail volume is 0.08. For comparison, the tail volumes of the C-5 Galaxy are 0.62 and 0.079 for the horizontal and vertical tails, respectively. Using the wing area, wingspan, and wing geometric chord, the tail surface areas are calculated. The aspect ratio, taper ratio, and all other relevant tail parameters are chosen using the Table 8.10a and Table 8.10b from Roskam’s Part II book (Roskam J. , Airplane Design Part II: Preliminary Configuration Design and Integration of the Propulsion System, 2004). The selected tail parameters, along with the calculated geometric specifications, are shown in Table 11-I and Table 11-II.
  • 57. 48 Georgia Institute of Technology Table 11-I. Horizontal tail sizing parameters and calculations. Horizontal Tail Parameter Variable Name Units Value Horizontal Moment Arm xh ft 118.73 Horizontal Tail Volume Vh ~ 0.65 Surface Area Sh ft2 725.80 Aspect Ratio AR ~ 5.00 Sweep Angle (c/4) Lc/4 degrees 24.00 Sweep Angle (LE) LLE degrees 28.60 Taper Ratio l ~ 0.50 Thickness Ratio (t/c)h % 0.12 Airfoil ~ NACA 0012 Dihedral Gh degrees 0.00 Incidence Angle ih degrees 0.00 Tail Span bh ft 60.24 Root Chord cRh ft 16.06 Tip Chord cTh ft 8.03 Root Thickness tRh in 23.13 Tip Thickness tTh in 11.57 Wing Mean Geometric Chord ch ft 12.05 Min Pressure Coef. @ Zero AOA Cp0min ~ -0.40 Critical Mach Number (DM > 0.05) Mcr_HT ~ 0.91 Table 11-II. Vertical tail sizing parameters and calculations. Vertical Tail Parameter Variable Name Units Value Vertical Moment Arm xh ft 110.00 Vertical Tail Volume Vh ~ 0.08 Surface Area Sh ft2 965.41 Aspect Ratio AR ~ 1.80 Sweep Angle (c/4) Lc/4 degrees 20.00 Sweep Angle (LE) LLE degrees 36.97 Taper Ratio l ~ 0.70 Thickness Ratio (t/c)h % 0.12 Airfoil ~ NACA 0015 Dihedral Gh degrees 0.00 Incidence Angle ih degrees 0.00 Tail Span bh ft 58.95 Root Chord cRh ft 19.27 Tip Chord cTh ft 13.49 Root Thickness tRh in 27.74 Tip Thickness tTh in 19.42 Wing Mean Geometric Chord ch ft 16.38 Min Pressure Coef. @ Zero AOA Cp0min ~ -0.40 Critical Mach Number (DM > 0.05) Mcr_HT ~ 0.91
  • 58. 49 Georgia Institute of Technology Dimensioned drawings of the horizontal tail and vertical tail are shown in Figure 11-1 and Figure 11-2 below, along with added control surfaces. The detailed sizing of the control surfaces is continued in the next subsection. Figure 11-1. Dimensioned drawing of horizontal tail. Figure 11-2. Dimensioned drawing of vertical tail. 11.2 Elevator and Rudder Sizing The sizing of the empennage control surfaces is carried out to provide adequate longitudinal and direction authority necessary to trim the aircraft correctly and to correct for an engine out condition. The