Design and Analysis





Design Check Report

Design Name:

Goomie

Designer:

DPM Botes

Design Date:

Dec 2007

Gross Weight Check

Parameter

SI Units

User Units

Design Gross Weight

650. kg

650. kg

As-Drawn Gross Weight

622.4 kg

622.4 kg

Percent Difference

38.31

 

Aircraft design gross weight and as-drawn gross weight are considerably different. Design weight should be adjusted and significant sizing adjustments to the aircraft's components will probably be required to achieve appropriate proportions and power.

CG Limit Check

Parameter

SI Units

User Units

Forward CG Limit

2.547 m

2.547 m

Aft CG Limit

2.839 m

2.839 m

Neutral Point

2.997 m

2.997 m

Forward CG Loading

2.397 m

2.397 m

Aft CG Loading

2.655 m

2.655 m

Rotation Speed at Forward CG Loading

31.61 m/s

61.4 knots

Rotation Speed at Aft CG Loading

23.46 m/s

45.57 knots

The aircraft can be loaded such that the CG is forward of the forward CG limit. This could lead to unsafe operation. Care should be taken to ensure that the CG is within range for normal operational loading conditions.

The rotation speed for the design is higher than usually recommended. This means the elevator may not have sufficient control authority to lift the aircraft's nose during takeoff. It is recommended that the elevator be sized so that the nose can be rotated at 80% of the takeoff speed, which is 39.6 knots for this design.

Propeller #1 Clearance Check

Parameter

SI Units

User Units

Level Clearance

0.7397 m

0.7397 m

Tail Down Clearance

0.3586 m

0.3586 m

View Angle Check

Parameter

SI Units

User Units

Level View Angle

0.5706 rad

32.69 deg

Tail Down View Angle

0.343 rad

19.65 deg

Tail Clearance Check

Parameter

SI Units

User Units

Tail Clearance Angle

0.587 rad

33.63 deg

Flare Angle

0.2276 rad

13.04 deg

Stabilizer Size and Location Check

Parameter

SI Units

User Units

Vertical Stabilizer Volume Coefficient

0.0202

 

Canard Volume Coefficient

0.2396

 

Angle between Wing and Canard

-0.4693 rad

-26.89 deg

Canard volume coefficienct is lower than historical averages. You may need to increase stabilizer size. Usual range = 0.3 -- 0.7.

Power and Wing Loading Check

Parameter

SI Units

User Units

Power Loading

0.005029 kg/watts

5.029 kg/kW

Wing Loading

36.06 kg/m^2

36.06 kg/m^2

Power loading is below historical averages. Design may be overpowered.

Landing Gear Geometry Check

Parameter

SI Units

User Units

Forward CG Gear Angle

0.3673 rad

21.04 deg

Aft CG Gear Angle

0.1708 rad

9.787 deg

Track Angle

0.6283 rad

36. deg

Overturn Angle

0.6292 rad

36.05 deg

Min Main Gear Weight Fraction (%)

78.73

 

Max Main Gear Weight Fraction (%)

90.46

 

Aft CG position is too far aft relative to main gear. The aircraft may have a tendency to sit on its tail. The aft CG gear angle should be greater than the tail clearance angle (33.63 deg) or the flare angle 3 degrees (16.04 deg) whichever is smaller.

The nose gear is carrying too much of the aircraft weight. Rotation may be difficult at takeoff. The main gear weight fraction should be at least 85%.

Performance Check

Parameter

SI Units

User Units

Cruise Speed

68.43 m/s

132.9 knots

Target Cruise Speed

61.78 m/s

120. knots

Stall Speed

18.53 m/s

36. knots

Target Stall Speed

23.17 m/s

45. knots

Max Rate of Climb

10.13 m/s

1,994.9 fpm

Target Max Rate of Climb

10.16 m/s

2,000. fpm

Range at Cruise

1.793e 06 m

968.1 nmi

Target Range at Cruise

7.408e 05 m

400. nmi

Cruise Pitch Attitude

-0.02685 rad

-1.539 deg

Cruise Elevator Setting

-0.01457 rad

-0.8348 deg

The stall speed was outside the analysis range. You can increase the analysis speed range by decreasing the target stall speed.

The design as drawn does not meet the max rate of climb criteria. Ways to improve rate of climb include increasing power, increasing aspect ratio, and decreasing wing loading.

Size Check

Parameter

SI Units

User Units

Wing Span

6.4 m

6.4 m

Tail Height

1.591 m

1.591 m

Propeller #1 Height

2.126 m

2.126 m


CG Limits Calculation Report

Design Name:

Goomie

Designer:

Dawie Botes

Design Date:

Dec 2007

CG Limits Breakdown

Aft Limit Calculation

Parameter

SI Units

User Units

Aircraft Speed

61.78 m/s

120. knots

Pitch Attitude

0.0 rad

0.0 deg

Elevator Deflection

0.0 rad

0.0 deg

Reference Long CG

2.655 m

2.655 m

 

Component

Ref Area Ratio

Ref Chord Ratio

Lift Curve Slope

Aerodynamic Center

Moment Curve Slope (about GW CG)

m

Main Wing

1.

1.

3.533

3.528

-1.412

Canard

0.2665

0.3458

4.313

1.775

5.517

Vertical Stabilizer

0.1058

0.3455

1.56e-06

4.751

-3.947e-06

Fuselage

0.07691

2.202

1.155

0.8873

0.4681

 

Parameter

SI Units

User Units

Neutral Point

2.997 m

2.997 m

Aft Limit

2.839 m

2.839 m

Forward Limit Calculation

Parameter

SI Units

User Units

Aircraft Speed

19.49 m/s

37.86 knots

Pitch Attitude

0.3103 rad

17.78 deg

Elevator Deflection

0.5236 rad

30. deg

Flaps Deflection

0.7854 rad

45. deg

Reference Long CG

2.655 m

2.655 m

 

Component

Ref Area Ratio

Ref Chord Ratio

Angle of Attack

Lift Coefficient

Aerodynamic Center

Moment Coefficient

deg

m

Main Wing

1.

1.

12.18

0.7728

3.528

-0.2394

Canard

0.2665

0.3458

14.53

2.701

1.775

3.191

Vertical Stabilizer

0.1058

0.3455

6.025e-06

0.0

4.751

0.0

Fuselage

0.07691

2.202

0.0

0.3585

0.8873

0.1452

 

Parameter

SI Units

User Units

Forward Limit

2.547 m

2.547 m


Weight and Balance Report

Design Name:

Goomie

Designer:

Dawie Botes

Design Date:

Dec 2007

Weight Breakdown

Parameter

Weight

Station

SI Units

User Units

SI Units

User Units

Structures Group

 

 

 

Main Wing

40.24 kg

40.24 kg

3.843 m

3.843 m

Canard

29.71 kg

29.71 kg

1.872 m

1.872 m

Vertical Stabilizer

4.466 kg

4.466 kg

4.853 m

4.853 m

Fuselage

47.15 kg

47.15 kg

1.752 m

1.752 m

Landing Gear

22.82 kg

22.82 kg

2.295 m

2.295 m

Propulsion Group

 

 

 

Engine #1

102.1 kg

102.1 kg

4.129 m

4.129 m

Fuel System

12.79 kg

12.79 kg

3.278 m

3.278 m

Equipment Group

 

 

 

Avionics

22.97 kg

22.97 kg

0.8225 m

0.8225 m

Electrical

29.05 kg

29.05 kg

0.1875 m

0.1875 m

Flight Controls

15.22 kg

15.22 kg

1.752 m

1.752 m

Furnishings

13.36 kg

13.36 kg

1.385 m

1.385 m

TOTAL WEIGHT EMPTY

339.8 kg

339.8 kg

2.648 m

2.648 m

Useful Load Group

 

 

 

Crew and Passengers

163.3 kg

163.3 kg

2.217 m

2.217 m

Fuel

117.3 kg

117.3 kg

3.278 m

3.278 m

Cargo

2. kg

2. kg

3.086 m

3.086 m

AS-DRAWN GROSS WEIGHT

622.4 kg

622.4 kg

2.655 m

2.655 m

DESIGN GROSS WEIGHT

450. kg

450. kg

 

 

CG Limits

Parameter

SI Units

User Units

Forward CG Limit

2.547 m

2.547 m

Aft CG Limit

2.839 m

2.839 m

Neutral Point

2.997 m

2.997 m

Forward CG Limit (%MAC)

-25.62

 

Aft CG Limit (%MAC)

-10.87

 

Neutral Point (%MAC)

-2.872

 

Loading Extremes

Parameter

CG Location

Static Margin

SI Units

User Units

% MAC

Most Forward CG Loading

2.397 m

2.397 m

30.27

Most Aft CG Loading

2.655 m

2.655 m

17.27