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Preliminary Design:
SPARROW
AE 420-02
Professor J Martin
Dordick, Jacob ○ Hassan, Mahnoor ○ Kowolchuk, Robert ○
Lutz, Kurtis ○ Orren, Charlotte ○ White, Zack
3 December 2014
SPARROW
Introduction

Mission Requirements

Cost Analysis

Design

Weight and Balance

Drag Analysis

Performance Analysis

Stability and Control

Ongoing Issues and Future work

Conclusion
Mission Requirements
Requirement Outcome
Wing Placement Low Wing
Engine Placement Tractor- Mounted on Wings
Landing Gear Tricycle-retractable
IFR Design yes
FAR 23 - C normal category
standards
yes
6 passengers total + 120 lbs
baggage
yes
2 gallons unusable fuel per engine yes
45 minutes excess fuel yes
T-Hanger with 6” clearance yes
4 hours mission time Yes-- 3 hours 50 minutes
Cost Analysis: Production

Eastlake Method (General Aviation Aircraft Design:Applied
Methods and Procedures)

Total Hours and employees required (5 years)
Description Value Units
Engineering hours 183,719.6 hours
Tooling hours 141,641.7 hours
Manufacturing hours 1,398,511.4 hours
Description Value Units
Engineering Employees 19 employees
Tooling Employees 15 employees
Manufacturing Employees 140 employees
Cost Analysis: Total

Total Cost Breakdown with Quantitative Discount Factor (600 Units)
Description Value Units
Engineering cost $35,442,227.91 dollars
Development support cost $11,102,832.47 dollars
Flight test cost $7,896,836.95 dollars
Tooling cost $18,117,521.81 dollars
Manufacturing labor cost $72,559,419.14 dollars
Quality Control cost $20,205,190.53 dollars
Materials and Equipment cost $20,951,909.82 dollars
Engines, Props, and Avionics cost $125,081,520.00 dollars
Insurance cost $58,090,020.00 dollars
Total Production Cost $449,335,824.00 dollars
$748,893.04 per unit
Cost Analysis: Break Even

Break-Even Point analysis

Determined Selling Price: $1,000,000.00

Time to Break even: 2.33 years
0 200 400 600 800 1000 1200 1400 1600
0
200
400
600
800
1000
1200
1400
1600
$ 700k
$ 800k
$ 900k
$ 1000k
production cost
Units Sold
TotalRevenueandProductionCost($millions)
289 aircraft to
break even
480 aircraft to
break even
1420 aircraft
to break even
Cost Analysis:Ownership

Annual Cost of ownership (300 flight hours/year)

15 Year Loan @ 8.5% APR
Cost Category Value Units
Maintenance $1,260.00 Dollars
Storage $3,000.00 Dollars
Fuel (annual) $54,240.00 Dollars
Insurance (annual) $1,965.23 Dollars
Inspection (annual) $500.00 Dollars
Engine Overhaul $3000.00 Dollars
Loan Amount $1,000,000.00 Dollars
Interest Rate APR 8.50% Percent
Annual Loan Payment $118,168.75 Dollars
Total Annual Cost $182,133.97 Dollars
Hourly Cost $607.11 Dollars
Hourly Cost without loan $213.22 Dollars
Marketing Strategy

Air-International magazine
− Allows for greater market visibility than
only US market

5 year full-page adverts

$40,000 contract
Beech Baron 58

Retail Cost: $1.35
million

Operation Cost:$68,172.00

Cost/hour: $227.34
SPARROW

Retail Cost: $1.00
million

Operation Cost:$63,966.00

Cost/hour: $213.22
Comparison
Design (3-VIEW)
Design (3-VIEW)
Design

Initial design revised to
reduce drag

Twin Vertical tail to ensure
dynamic stability in EO
takeoff

Blended wings and HT

Fully retractable landing
gear

Main landing gear on aft
spar
Wing is made transparent to
show landing gear storage
Design: Club Seating
Design: Fuel Tanks

Fuel Tanks are located between the
forward and aft spars in the wings
Fuel Tanks
Tanks are located immediately outboard of the landing gear wheelhouse
Weight and Balance

Fuel remaining after Mission : 280 lb
Description Symbol Value Units
Design Gross Weight W0
6404.0 lb
Projected Empty Weight We
4044.0 lb
Design Fuel Weight Wf
1200.0 lb
Crew Weight Wc
190.0 lb
Payload Wp
970.0 lb
Projected Useful Load Wu
2360.0 lb
Wing Loading W/S 28.1
Weight and Balance
Weight and Balance
Weight and Balance

Aerodynamic Center located at 38.4% MGC at Cruise

CG limits are 30.8% MGC and 39.2% MGC
Drag Analysis: Drag Polar

CD :

Takeoff = 0.09648

Cruise = 0.03142

Landing = 0.10898
Performance: General
Category Value Units
Endurance 6:48 Hours:minutes
Range 1550 Nautical miles
Stall Speed 72 KTAS
Take-off Speed 73.2 KTAS
Take-off Distance 1712 ft
Cruise Speed 198 KTAS
Max Speed 218 KTAS
ROD 634 Fpm
Landing Distance 2,265 ft
Mission Flight Time 3:50 Hours:minutes
Performance: Mission

Engine: Lycoming L/TIO-540-W2A

Mission Completion Time: 3:50

Cruise Altitude: 7000'

Mission Breakdown
− 9 minute climb to 7000' altitude
− 3 hours 6 minutes at cruise
− 10 minutes to descend to 1000'
− 2 minute to climb back to 3000'
− 4 minutes from DCA to BWI
− 5 minute descent into BWI (+5 minutes loiter)
Performance: Climb

Max ROC:
1749 fpm

ROC speed:
116 KTAS
Performance: Cruise

Cruise Speed:
198 KTAS

Cruise Speed
with padding:
194 KTAS
Performance: Max Speed

Max Speed:
218 KTAS

Max Speed
with padding:
214 KTAS
Performance: Descent

Min ROD:
634 fpm

ROD speed:
96 KTAS
Performance: Endurance
% Throttle Airspeed (KTAS) Range* (N. Mi.) Endurance
(hours:minutes)
100 % 218 1459 5:49
75 % 198 1550 6:48
40 % 156 1672 9:18
*Assuming Constant Altitude and Airspeed
Range: Global
Displaying maximum range at 75% throttle
Range: US and Europe
Displaying maximum range at 75% throttle
Departures from LAX, DAB Departure from London, Heathrow (LHR)
Stability and Control
Calculations for Stability and Control computed with SURFACES
model and verified with hand-calculation

Important Stability Derivatives:

Very Stable aircraft to account for engine
out case at takeoff
Stability and Control
Derivative Value
CMCL -0.1352
CyB -0.83897
ClB -0.002004
CnB 0.003895
Stability and Control
Short Period Oscillation

STABLE

Damping Ratio: 0.58

Period: 1.19 sec/cycle
Phugoid

STABLE

Damping Ratio: 0.178

Period: 56.97 sec/cycle
Stability and Control
Dutch Roll

STABLE

Damping Ratio: 0.170

Period: 1.29 sec/cycle
Roll

STABLE

Time to Half: 0.08 seconds
Stability and Control

STABLE

Time to Half: 85.1 seconds
Ongoing Issue and
Future Work

Work on control surfaces to decrease
stall speed

Detailed structural design and wind
tunnel testing
Conclusion

Viable cross-country option as a private
passenger plane

Competitive with Beechcraft Baron 58

Exceeds Mission Requirements

4 months of hard work
Questions?

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Preliminary Design SPARROW AE 420

  • 1. Preliminary Design: SPARROW AE 420-02 Professor J Martin Dordick, Jacob ○ Hassan, Mahnoor ○ Kowolchuk, Robert ○ Lutz, Kurtis ○ Orren, Charlotte ○ White, Zack 3 December 2014
  • 3. Introduction  Mission Requirements  Cost Analysis  Design  Weight and Balance  Drag Analysis  Performance Analysis  Stability and Control  Ongoing Issues and Future work  Conclusion
  • 4. Mission Requirements Requirement Outcome Wing Placement Low Wing Engine Placement Tractor- Mounted on Wings Landing Gear Tricycle-retractable IFR Design yes FAR 23 - C normal category standards yes 6 passengers total + 120 lbs baggage yes 2 gallons unusable fuel per engine yes 45 minutes excess fuel yes T-Hanger with 6” clearance yes 4 hours mission time Yes-- 3 hours 50 minutes
  • 5. Cost Analysis: Production  Eastlake Method (General Aviation Aircraft Design:Applied Methods and Procedures)  Total Hours and employees required (5 years) Description Value Units Engineering hours 183,719.6 hours Tooling hours 141,641.7 hours Manufacturing hours 1,398,511.4 hours Description Value Units Engineering Employees 19 employees Tooling Employees 15 employees Manufacturing Employees 140 employees
  • 6. Cost Analysis: Total  Total Cost Breakdown with Quantitative Discount Factor (600 Units) Description Value Units Engineering cost $35,442,227.91 dollars Development support cost $11,102,832.47 dollars Flight test cost $7,896,836.95 dollars Tooling cost $18,117,521.81 dollars Manufacturing labor cost $72,559,419.14 dollars Quality Control cost $20,205,190.53 dollars Materials and Equipment cost $20,951,909.82 dollars Engines, Props, and Avionics cost $125,081,520.00 dollars Insurance cost $58,090,020.00 dollars Total Production Cost $449,335,824.00 dollars $748,893.04 per unit
  • 7. Cost Analysis: Break Even  Break-Even Point analysis  Determined Selling Price: $1,000,000.00  Time to Break even: 2.33 years 0 200 400 600 800 1000 1200 1400 1600 0 200 400 600 800 1000 1200 1400 1600 $ 700k $ 800k $ 900k $ 1000k production cost Units Sold TotalRevenueandProductionCost($millions) 289 aircraft to break even 480 aircraft to break even 1420 aircraft to break even
  • 8. Cost Analysis:Ownership  Annual Cost of ownership (300 flight hours/year)  15 Year Loan @ 8.5% APR Cost Category Value Units Maintenance $1,260.00 Dollars Storage $3,000.00 Dollars Fuel (annual) $54,240.00 Dollars Insurance (annual) $1,965.23 Dollars Inspection (annual) $500.00 Dollars Engine Overhaul $3000.00 Dollars Loan Amount $1,000,000.00 Dollars Interest Rate APR 8.50% Percent Annual Loan Payment $118,168.75 Dollars Total Annual Cost $182,133.97 Dollars Hourly Cost $607.11 Dollars Hourly Cost without loan $213.22 Dollars
  • 9. Marketing Strategy  Air-International magazine − Allows for greater market visibility than only US market  5 year full-page adverts  $40,000 contract
  • 10. Beech Baron 58  Retail Cost: $1.35 million  Operation Cost:$68,172.00  Cost/hour: $227.34 SPARROW  Retail Cost: $1.00 million  Operation Cost:$63,966.00  Cost/hour: $213.22 Comparison
  • 13. Design  Initial design revised to reduce drag  Twin Vertical tail to ensure dynamic stability in EO takeoff  Blended wings and HT  Fully retractable landing gear  Main landing gear on aft spar Wing is made transparent to show landing gear storage
  • 15. Design: Fuel Tanks  Fuel Tanks are located between the forward and aft spars in the wings Fuel Tanks Tanks are located immediately outboard of the landing gear wheelhouse
  • 16. Weight and Balance  Fuel remaining after Mission : 280 lb Description Symbol Value Units Design Gross Weight W0 6404.0 lb Projected Empty Weight We 4044.0 lb Design Fuel Weight Wf 1200.0 lb Crew Weight Wc 190.0 lb Payload Wp 970.0 lb Projected Useful Load Wu 2360.0 lb Wing Loading W/S 28.1
  • 19. Weight and Balance  Aerodynamic Center located at 38.4% MGC at Cruise  CG limits are 30.8% MGC and 39.2% MGC
  • 20. Drag Analysis: Drag Polar  CD :  Takeoff = 0.09648  Cruise = 0.03142  Landing = 0.10898
  • 21. Performance: General Category Value Units Endurance 6:48 Hours:minutes Range 1550 Nautical miles Stall Speed 72 KTAS Take-off Speed 73.2 KTAS Take-off Distance 1712 ft Cruise Speed 198 KTAS Max Speed 218 KTAS ROD 634 Fpm Landing Distance 2,265 ft Mission Flight Time 3:50 Hours:minutes
  • 22. Performance: Mission  Engine: Lycoming L/TIO-540-W2A  Mission Completion Time: 3:50  Cruise Altitude: 7000'  Mission Breakdown − 9 minute climb to 7000' altitude − 3 hours 6 minutes at cruise − 10 minutes to descend to 1000' − 2 minute to climb back to 3000' − 4 minutes from DCA to BWI − 5 minute descent into BWI (+5 minutes loiter)
  • 23. Performance: Climb  Max ROC: 1749 fpm  ROC speed: 116 KTAS
  • 24. Performance: Cruise  Cruise Speed: 198 KTAS  Cruise Speed with padding: 194 KTAS
  • 25. Performance: Max Speed  Max Speed: 218 KTAS  Max Speed with padding: 214 KTAS
  • 26. Performance: Descent  Min ROD: 634 fpm  ROD speed: 96 KTAS
  • 27. Performance: Endurance % Throttle Airspeed (KTAS) Range* (N. Mi.) Endurance (hours:minutes) 100 % 218 1459 5:49 75 % 198 1550 6:48 40 % 156 1672 9:18 *Assuming Constant Altitude and Airspeed
  • 28. Range: Global Displaying maximum range at 75% throttle
  • 29. Range: US and Europe Displaying maximum range at 75% throttle Departures from LAX, DAB Departure from London, Heathrow (LHR)
  • 30. Stability and Control Calculations for Stability and Control computed with SURFACES model and verified with hand-calculation
  • 31.  Important Stability Derivatives:  Very Stable aircraft to account for engine out case at takeoff Stability and Control Derivative Value CMCL -0.1352 CyB -0.83897 ClB -0.002004 CnB 0.003895
  • 32. Stability and Control Short Period Oscillation  STABLE  Damping Ratio: 0.58  Period: 1.19 sec/cycle Phugoid  STABLE  Damping Ratio: 0.178  Period: 56.97 sec/cycle
  • 33. Stability and Control Dutch Roll  STABLE  Damping Ratio: 0.170  Period: 1.29 sec/cycle Roll  STABLE  Time to Half: 0.08 seconds
  • 35. Ongoing Issue and Future Work  Work on control surfaces to decrease stall speed  Detailed structural design and wind tunnel testing
  • 36. Conclusion  Viable cross-country option as a private passenger plane  Competitive with Beechcraft Baron 58  Exceeds Mission Requirements  4 months of hard work