Flying Wing Stability Calculator

Check geometry, balance, sweep, and trim quickly. Study static margin with clear outputs and guidance. Make safer design choices before building your flying wing.

Calculator Inputs

Example Data Table

Case Span m Root m Tip m Sweep deg CG m Mass kg Speed m/s
Light park flyer 1.40 0.34 0.14 22 0.17 1.10 13
Medium foam wing 2.40 0.52 0.20 24 0.27 3.50 17
Fast composite wing 3.20 0.62 0.18 30 0.36 7.80 27

Formula Used

Wing area: S = b × (cr + ct) / 2

Taper ratio: λ = ct / cr

Mean aerodynamic chord: MAC = 2cr / 3 × (1 + λ + λ²) / (1 + λ)

MAC span station: yMAC = b / 6 × (1 + 2λ) / (1 + λ)

Aerodynamic center: xAC = tan(sweep) × yMAC + AC fraction × MAC

Neutral point: xNP = xAC + correction × MAC

Static margin: SM = (xNP − xCG) / MAC × 100

Dynamic pressure: q = 0.5 × ρ × V²

Required lift coefficient: CL = W / (q × S)

Pitch slope: Cmα ≈ −CLα × static margin fraction

Elevon trim: δe = −CmCG / elevon effectiveness

How to Use This Calculator

  1. Enter the wing span, root chord, tip chord, and sweep.
  2. Add the center of gravity station from the root leading edge.
  3. Enter aerodynamic center, neutral point, and washout corrections.
  4. Add mass, speed, air density, lift coefficient, and moment data.
  5. Press the calculate button.
  6. Read static margin, trim, stall speed, and CG range.
  7. Download the CSV or PDF result for design records.

Flying Wing Stability Guide

A flying wing has no separate horizontal tail. The wing must carry lift and provide pitch control. This makes center of gravity placement very important. A small aft change can reduce stability. A large forward change can demand more elevon trim.

Why Static Margin Matters

Static margin compares the neutral point with the center of gravity. Positive margin means the neutral point is behind the center of gravity. That usually gives restoring pitch behavior. Many small flying wings begin near three to ten percent margin. Final limits need flight testing and careful simulation.

Geometry Effects

Sweep, taper, chord, and span change the mean aerodynamic chord. They also move the aerodynamic center. More sweep can move the effective chord station rearward. Taper changes area distribution. A light model may still feel unstable if the center of gravity sits too far aft.

Trim and Control

Elevons balance pitching moment. A reflexed airfoil often helps. Negative airfoil moment needs upward elevon trim. Too much trim adds drag and reduces available control. The calculator estimates the required trim from moment coefficient and elevon effectiveness. Treat it as an early design value.

Speed and Loading

Wing loading affects required lift coefficient. Higher mass or smaller area raises the required coefficient. Low speed also raises it. When required lift approaches maximum lift, stall margin becomes poor. A flying wing should be checked at launch, cruise, and landing speeds.

How to Use Results

Use the output to compare design cases. Move the center of gravity and watch static margin. Adjust sweep or chord and review neutral point movement. Check trim angle. If trim is high, revise airfoil, reflex, or center position. Build with a safe forward starting point. Test gradually. Record every change.

Model Limits

This tool uses simplified lifting line ideas. It does not replace wind tunnel data, computational analysis, or safe field testing. Control hinge gaps, twist, washout, and flexible structure can change real behavior. Use conservative margins for first flights. Then refine values with measured glide response and trim logs.

Design Workflow

Start with known dimensions. Enter the expected flying mass. Use cruise speed first. Repeat the calculation for launch speed. Keep clear notes. Compare each setup before cutting parts.

FAQs

What is static margin?

Static margin is the distance between neutral point and center of gravity. It is shown as a percentage of mean aerodynamic chord.

What static margin is good for a flying wing?

Many small flying wings start around three to ten percent. Use safer forward settings for first flights and testing.

Why does a flying wing need elevon trim?

The elevons balance pitching moment because there is no tail. Reflex, airfoil moment, and CG position affect trim demand.

Does sweep improve stability?

Sweep can move the effective aerodynamic center rearward. It may help stability, but twist and airfoil choice still matter.

What happens when CG is too far aft?

The wing can become unstable. Pitch corrections may grow quickly, and recovery can become difficult after disturbances.

What happens when CG is too far forward?

The wing may be stable but inefficient. It can need excessive up elevon and may launch poorly.

Is this calculator enough for final aircraft design?

No. It is an early sizing tool. Use simulation, prototype testing, and safe flight procedures before final decisions.

Why is stall speed included?

Stall speed shows whether the chosen flight speed has enough margin. Low margin can make launch and landing risky.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.