Aircraft Landing Force Calculator

Model impact loads with adjustable aircraft parameters. Review vertical force, energy, gear sharing, and margins. Export CSV and PDF reports for quick physics checks.

Formula Used

The calculator estimates vertical impact from energy and constant deceleration.

Effective stroke: se = s × efficiency

Vertical deceleration: a = v² ÷ (2se)

Total average gear force: F = m × [a + g × (1 − lift fraction)]

Shared gear force: Fshare = F × load share

Peak force: Fpeak = Fshare × peak factor

Design force: Fdesign = Fpeak × safety factor

Impact energy: E = 0.5 × m × v²

Optional braking force: Fbrake = m × V² ÷ (2d) × brake share

How to Use This Calculator

  1. Enter aircraft mass in kilograms or pounds.
  2. Enter touchdown sink speed.
  3. Add available tire and strut stroke.
  4. Set gear efficiency for real damping losses.
  5. Enter lift support during touchdown.
  6. Set the gear load share and contact points.
  7. Add peak and safety factors for design review.
  8. Press Calculate to show results above the form.
  9. Use CSV or PDF buttons to download the report.

Example Data Table

Case Mass Sink Speed Stroke Efficiency Load Share Use Case
Light trainer 900 kg 1.8 m/s 0.22 m 78% 90% Normal landing check
Utility aircraft 1800 kg 2.5 m/s 0.35 m 82% 88% Firm touchdown study
Small jet 6200 kg 3.0 m/s 0.50 m 85% 92% Main gear estimate

Understanding Airplane Landing Force

Landing force is the load created while an aircraft arrests its vertical motion. The wheels touch first, but the whole structure reacts. Tires compress. Struts stroke. Damping absorbs energy. The cabin may feel gentle, while the gear still carries a large load.

A useful estimate starts with sink speed. This is the vertical speed at touchdown. Higher sink speed raises impact energy quickly, because energy changes with the square of speed. A small increase can create a much larger force.

Why Stroke Distance Matters

Stroke distance is the vertical travel available in tires and landing gear. More stroke spreads the stopping work over a longer distance. That lowers average reaction force. Short stroke makes the stop sharper. It raises load factor and peak load.

Real landing gear is not perfectly efficient. Heat, friction, tire shape, and damping behavior change the force curve. The efficiency value lets the calculator reduce usable stroke. A lower efficiency means less useful energy absorption. That increases the estimated force.

Using the Result Safely

The calculator gives an engineering estimate. It is not a certification tool. Aircraft design uses detailed tests, structural models, tire data, and regulatory load cases. Still, this method is helpful for study, concept checks, and early comparisons.

The load factor shows how many times the supported weight acts through the gear. A value near one means the gear mainly supports weight. Larger values mean touchdown impact is important. Peak force uses a multiplier, because real force is rarely flat.

Interpreting Gear Loads

Gear count divides the total vertical reaction between contact points. Main gear usually carries more than nose gear during touchdown. Use the load share field when the aircraft does not split load evenly. A taildragger, tricycle gear, or heavy transport may need different sharing assumptions.

Include a safety factor when comparing against a design limit. This does not replace formal margin analysis. It simply helps students and builders see how sensitive force is to mass, sink speed, and stroke.

For better results, use measured aircraft mass, realistic touchdown sink rate, and verified gear travel. Try several cases. Compare soft, normal, and firm landings. The pattern will show which input controls the largest change.

Use conservative values.

FAQs

What is airplane landing force?

It is the reaction load created when the landing gear stops the aircraft vertical descent. The value depends on mass, sink speed, stroke distance, lift support, damping, and gear load sharing.

Does higher sink speed increase force?

Yes. Impact energy rises with the square of sink speed. Doubling sink speed can create about four times the vertical energy, before stroke and damping effects are considered.

Why is landing gear stroke important?

Stroke spreads the stopping motion over distance. More usable stroke lowers average deceleration. Less stroke produces a sharper stop and usually increases peak landing force.

What does gear efficiency mean?

Gear efficiency estimates how much stroke effectively absorbs impact energy. Real struts and tires lose energy through damping, friction, heat, and deformation. Lower efficiency raises calculated force.

Should I include wing lift during landing?

Yes, when lift is still significant at touchdown. Lift reduces the load carried by the gear. Use a conservative estimate when exact lift data is not available.

What is peak force factor?

Average force assumes smooth constant deceleration. Real force curves are uneven. The peak factor converts average shared force into a higher estimated maximum load.

Can this replace aircraft certification analysis?

No. It is only an educational and preliminary engineering estimator. Certified aircraft analysis needs approved standards, detailed gear models, fatigue checks, tire data, and physical testing.

Why is braking force included?

Braking force estimates horizontal rollout load. It is separate from vertical impact force, but it helps compare combined landing loads during ground deceleration.

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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.